Variable wavelength light filter and sensor system

• US 5,144,498 A
• Filed: 02/14/1990
• Issued: 09/01/1992
• Est. Priority Date: 02/14/1990
• Status: Expired due to Term

• Current Assignee: Hewlett-Packard Company (HP Inc.)
• Original Assignee: Hewlett-Packard Company (HP Inc.)
• Inventors: Vincent, Kent D.
• Primary Examiner(s): Ben, Loha
• Application Number:
  US07/480,172
• Time in Patent Office: 930 Days
• Field of Search: 359/885, 359/887, 359/890, 359/350, 359/359, 359/618, 359/722, 359/723, 356/300, 356/320, 356/331, 356/332, 356/51, 356/303, 356/346, 356/345, 356/328, 250/226
• US Class Current: 359/885
• CPC Class Codes: G01J 2003/1226 Interference filters
• CPC Class Codes: G01J 3/12 Generating the spectrum; Monochromators
• CPC Class Codes: G01J 3/26 using multiple reflection, e.g. Fabry-Perot interferometer, variable interference filters
• CPC Class Codes: G01J 3/2803 using photoelectric array detector
• CPC Class Codes: G01J 3/51 using colour filters
• CPC Class Codes: G01J 3/513 having fixed filter-detector pairs
• CPC Class Codes: G02B 5/284 of etalon type comprising a resonant cavity other than a thin solid film, e.g. gas, air, solid plates etalons for fibre optic multiplexing G02B6/29358; etalons for spectral measurement G01J3/26

Abstract

Light filter apparatus for receiving a light beam having wavelengths in a selected band and for dispersing the light into a plurality of rays, with each ray having a different wavelength for which the intensity peaks. The peak wavelength varies approximately continuously with displacement of spatial position in a chosen direction along the filter'"'"'s light-receiving plane. In one embodiment, the filter is a modified etalon structure having at least two reflecting surfaces whose separation distance is not constant but increases or decreases monotonically with distance in a chosen direction in a light-receiving plane of the etalon. Each of these two reflecting surfaces may be planar or non-planar but continuous, or may have a step or staircase configuration. This structure may operate using transmitted light or reflected light. In a second embodiment, an edge filter combination is used to produce a narrow band of transmitted or reflected light having a variable central wavelength that varies with position along the chosen direction. In a third embodiment, a multi-layer thin film structure is used to provide a narrow band of transmitted or reflected light having a variable central wavelength. The filter may be combined with a one-dimensional or two-dimensional array of photosensor elements, which array may be linear, circular or generally curvilinear, one such element receiving a group of adjacent light rays of similar peak wavelength, to provide a plurality of different wavelength readings on an incident light beam for spectrophotometry or colorimetry analysis.

Claims

1. Light filter apparatus having a band pass with a central wavelength for light that varies with displacement of position in a selected spatial direction in a light-receiving surface of a filter, the apparatus comprising:

a first stratum of filter material, having first and second spaced apart, light-receiving surfaces facing each other, that is partly transmitting and partly reflecting for light received at a light-receiving surface thereof and having a wavelength in a selected pass band of wavelengths, where a distance of separation h(x) of the two surfaces increases monotonically with displacement of a position coordinate x in the selected direction, and for at least one position the distance of separation is approximately equal to mλ

_c /2n, where m is a positive integer and n is the real part of the refractive index of the filter material for light of a selected wavelength λ

_c in the selected pass band; and

a second stratum of filter material, having first and second, spaced apart, light-receiving surfaces facing each other with a distance of separation that varies with displacement of position in the selected direction, that is at least partly transmitting for light having the wavelength λ

_c, that is substantially fully absorbing or reflecting for light having a second wavelength approximately equal to a wavelength of any transmittance side band of the first stratum of filter material, and that is positioned so that light issued from one of the first stratum and the second stratum is received by the other stratum.

5. The apparatus of claim 1, 2, 3 or 4, wherein said second stratum of filter material is substantially fully absorbing or transmitting for light having a wavelength λ

=λ

_c +Δ

λ

with |Δ

λ

|/λ

_c >

0.5.

6. The apparatus of claim 1, 2, 3 or 4, wherein said selected wavelength λ

_c is equal to a predetermined wavelength λ

₁, and further comprising

means for isolating or redirecting an approximately monochromatic portion of the beam of light issued by said light filter that has a wavelength approximately equal to λ

₁.

7. The apparatus of claim 1, 2, 3 or 4, wherein said integer m is at least equal to two.

8. The apparatus of claim 1, 2, 3 or 4, wherein said second filter stratum is drawn from the class of materials consisting of magnesium fluoride, zinc sulfide, calcite, sapphire, aluminum, and oxides of silicon, germanium, calcium, cadmium, aluminum, titanium, cerium and zirconium.

9. The apparatus of claim 1, 2, 3 or 4, wherein said first stratum is drawn from the class of material consisting of magnesium fluoride, zinc sulfide, calcite, sapphire, aluminum, and oxides of silicon, germanium, calcium, cadmium, aluminum, titanium, cerium and zirconium.

10. The apparatus of claim 1, 2, 3 or 4, wherein said distance of separation of said two surfaces of said first filter stratum changes continuously with displacement of position in said selected spatial direction;

and

wherein said first of said two surfaces of said second stratum has a staircase configuration with two or more staircase segment planes that are spaced apart from and approximately parallel to said second surface of said second stratum.

11. The apparatus of claim 1, 2, 3 or 4, wherein said first surface of said first stratum has a staircase configuration with two or more staircase segment planes that are spaced apart from and approximately parallel to said second surface of said first stratum;

and

wherein said distance of separation of said two surfaces of said second stratum changes continuously with displacement of position in said selected direction.

12. The apparatus of claim 1, 2, 3 or 4, wherein said first surface of said first stratum has a staircase configuration with two or more staircase segment planes that are spaced apart from and approximately parallel to said second surface of said first stratum;

and

wherein said first and second surfaces of said second stratum each have a staircase configuration, with two or more staircase segment planes of said first surface being spaced apart from and approximately parallel to two or more staircase segment planes of said second surface.

13. The apparatus of claim 1, 2, 3 or 4, wherein said first and second surfaces of said first stratum each have a staircase configuration, with two or more staircase segment planes of said first surface being spaced apart from and approximately parallel to two or more staircase segment planes of said second surface;

and

said first surface of said second stratum has a staircase configuration with two or more staircase segment planes that are spaced apart from and approximately parallel to said second surface of said second stratum.

14. The apparatus of claim 1, 2, 3 or 4, further comprising an optically transmitting substrate, having at least two opposed light-receiving surfaces, positioned between said first stratum and said second stratum, with at least one of said first and second strata being positioned on a surface of the substrate.

15. The apparatus of claim 1, 2, 3 or 4, further comprising an optically transmitting substrate, having at least two opposed light-receiving surfaces, with said first filter stratum and said second stratum being positioned adjacent to each other on the same light-receiving surface of the substrate.

16. The apparatus of claim 1, 2, 3 or 4, further comprising a substrate, having at least two opposed light-receiving surfaces, that contains a material that is substantially fully absorbing for light having a wavelength that lies outside said selected pass band of wavelengths.

17. The apparatus of claim 1, 2, 3 or 4, wherein said first stratum and said second stratum extend approximately parallel to each other in a rectilinear direction.

18. The apparatus of claim 1, 2, 3 or 4, wherein said first stratum and said second stratum lie along sectors of a first circle and a second circle, respectively, with the two circles being approximately concentric.

19. The apparatus of claim 1, 2, 3 or 4, further comprising an optically transmitting prism having at least first and second light-receiving surfaces, with said first and second strata being positioned on the first and second surfaces of the prism.

20. The apparatus of claim 1, 2, 3 or 4, wherein said distance of separation h(x), as a function of said position coordinate x in said selected direction, of said two surfaces of said first stratum is approximately of the form h(x)=a+bx^k, where a, b and k are predetermined real constants and k≠

0.

2. Light filter apparatus having a band pass with a central wavelength for light that varies with displacement of position in a selected spatial direction in a light-receiving surface of a filter, the apparatus comprising:

a first stratum of filter material, having first and second spaced apart, light-receiving surfaces facing each other, that is partly transmitting and partly reflecting for light received at a light-receiving surface thereof and having a wavelength in a selected pass band of wavelengths, where a distance of separation h(x) of the two surfaces increases monotonically with displacement of a position coordinate x in the selected direction, and for at least one position the distance of separation is approximately equal to (m-1/2)λ

_c /2n, where m is a positive integer and n is the real part of the refractive index of the filter material for light of a selected wavelength λ

_c in the selected pass band; and

a second stratum of filter material, having first and second, spaced apart, light-receiving surfaces facing each other with a distance of separation that varies with displacement of position in the selected direction, that is at least partly transmitting for light having the wavelength λ

_c, that is substantially fully absorbing or transmitting for light having a second wavelength approximately equal to a wavelength of any reflectance side band of the first stratum of filter material, and that is positioned so that light issued from one of the first stratum and the second stratum is received by the other stratum.

3. Light filter apparatus having a band pass with a central wavelength for light that varies with displacement of position in a selected spatial direction in a light-receiving surface of a filter, the apparatus comprising:

a first stratum of filter material, having first and second spaced apart, light-receiving surfaces facing each other, that is partly transmitting and partly reflecting for light received at a light-receiving surface thereof and having a wavelength in a selected pass band of wavelengths, where a distance of separation h(x) of the two surfaces increases monotonically with displacement of a position coordinate x in the selected direction, and for at least one position the distance of separation is approximately equal to mλ

_c /2n, where m is a positive integer and n is the real part of the refractive index of the filter material for light of a selected wavelength λ

_c in the selected pass band; and

a second stratum of filter material, having first and second, spaced apart, light-receiving surfaces facing each other with a distance of separation that varies with displacement of position in the selected direction, that is at least partly transmitting for light having the wavelength λ

_c, that is substantially fully absorbing or reflecting for light having a second wavelength approximately equal to a wavelength of any transmittance side band of the first stratum of filter material, and that is positioned so that light issued from one of the first stratum and the second stratum is received by the other stratum.

4. Light filter apparatus having a band pass with a central wavelength for light that varies with displacement of position in a selected spatial direction in a light-receiving surface of a filter, the apparatus comprising:

a first stratum of filter material, having first and second spaced apart, light-receiving surfaces facing each other, that is partly transmitting and partly reflecting for light received at a light-receiving surface thereof and having a wavelength in a selected pass band of wavelengths, where a distance of separation h(x) of the two surfaces increases monotonically with displacement of a position coordinate x in the selected direction, and for at least one position the distance of separation is approximately equal to (m-1/2)λ

_c /2n, where m is a positive integer and n is the real part of the refractive index of the filter material for light of a selected wavelength λ

_c in the selected pass band; and

a second stratum of filter material, having first and second, spaced apart, light-receiving surfaces facing each other with a distance of separation that varies with displacement of position in the selected direction, that is at least partly transmitting for light having the wavelength λ

_c, that is substantially fully absorbing or transmitting for light having a second wavelength approximately equal to a wavelength of any reflectance side band of the first stratum of filter material, and that is positioned so that light issued from one of the first stratum and the second stratum is received by the other stratum.

21. Light filter and sensor apparatus having a band pass with a central wavelength for transmitted light that varies with displacement of position in a selected spatial direction in a light-receiving surface of a light filter, the apparatus comprising:

a first stratum of filter material, that has two spaced apart surfaces facing each other, with one of these surfaces being positioned to receive incident light thereat, with a distance of separation h₁ (x) between these two surfaces that varies monotonically with increase in a position coordinate x measured in a selected direction in a light-receiving surface of the first stratum, that is highly transmitting for incident light having a wavelength λ

lying in a narrow wavelength pass band that has a pass band central wavelength λ

_c (x) at a position given by the spatial coordinate x, where λ

_c (x) varies monotonically with increase in the coordinate x;

a second stratum of filter material, positioned adjacent to one of the two surfaces of the first stratum, that has two spaced apart surfaces facing each other, with a distance of separation h₂ (x) between these two surfaces that varies monotonically with increase in the position coordinate x, that is highly transmitting for incident light having the wavelength λ

_c (x) at a position with coordinate x, that is substantially fully absorbing or reflecting for incident light having a wavelength approximately equal to a wavelength of any transmittance side band of the first stratum of filter material, and that is positioned so that light that issues from one of the first stratum and the second stratum is received by the other stratum; and

an array of photosensors extending in the selected direction, with each photosensor being positioned to receive a portion of a light beam that is issued from the first or second stratum at a position measured in the selected direction.

23. The apparatus or claim 21 or 22, further comprising:

a third stratum of filter material, positioned adjacent to said first stratum, that has two spaced apart surfaces facing each other, with one of these surfaces being positioned to receive incident light thereat, and that is at least partly transmitting for incident light having a wavelength λ

lying in a narrow wavelength pass band having said central wavelength λ

_c (x) at a position given by said spatial coordinate x, where said central wavelength λ

_c (x) varies monotonically with increase in said coordinate x; and

a second array of photosensors extending in said selected direction, with each photosensor in the second array being positioned to receive a portion of a light beam that is reflected from the third stratum at a position measured in said selected direction.

24. The apparatus of claim 23, wherein said third stratum has a selected band of wavelengths that includes at least one wavelength not included in said selected band of wavelengths of said first stratum.

25. Light filter and sensor apparatus according to claim 23, wherein said first photosensor array receives a portion of an incident light beam having wavelengths in a first wavelength interval I₁ and said second photosensor array receives a portion of the incident light beam having wavelengths in a second wavelength interval I₂,

whereby the system can determine the energy of an incident light beam in each of two different wavelength intervals.

32. The apparatus of claim 21, 22, 27 or 31, wherein said first stratum, said second stratum and said photosensor array lie along sectors of a first circle, a second circle and a third circle, respectively, with the three circles being approximately concentric.

33. The apparatus of claim 21, 22, 27 or 31, further comprising an optically transmitting prism having at least first and second light-receiving surfaces, with said first and second strata being positioned on the first and second surfaces of the prism and said photosensor array being positioned adjacent to one of said first and second strata.

34. The apparatus of claim 21, 22, 27 or 31, further comprising an optically transmitting prism having at least first, second and third light-receiving surfaces, with said first stratum, said second stratum and said photosensor array being positioned on the first, second and third surfaces, respectively, of the prism.

35. The apparatus of claim 21 or 31, wherein said second stratum of filter material is substantially fully absorbing or reflecting for light having a wavelength λ

=λ

_c +Δ

λ

with |Δ

λ

|/λ

_c >

0.5.

36. The apparatus of claim 21, 22, 27 or 31, wherein said second stratum of filter material is drawn from the class of materials consisting of magnesium fluoride, zinc sulfide, calcite, sapphire, aluminum, and oxides of silicon, germanium, calcium, cadmium, aluminum, titanium, cerium and zirconium.

37. The apparatus of claim 21, 22, 27 or 31, wherein said distance of separation of said two surfaces of said second stratum varies monotonically and continuously with said position coordinate x.

38. The apparatus of claim 21, 22, 27 or 31, wherein said distance of separation of said two surfaces of said second stratum is piecewise continuous in said position coordinate x.

39. The apparatus of claim 21, 22, 27 or 31, wherein said distance of separation of said two surfaces of said second stratum, denoted h₂ (x), varies with said position coordinate x so that h₂ (x) has a first constant value H₁ for x₁ <

x<

x₂ and has a second constant value H₂ for x₃ <

x<

x₄ with x₂ ≦

x₃, where x₁, x₂, x₃ and x₄ are four values of x lying in a permitted x-range.

40. The apparatus of claim 21, 22, 27 or 31, further comprising a substrate of optically transmitting material having a surface that is partly reflecting for light having a wavelength in said selected pass band, with said first stratum and said second stratum being positioned adjacent to each other and adjacent to a substrate surface.

41. The apparatus of claim 21, 22, 27 or 31, further comprising a substrate of material having first and second opposed surfaces that are each at least partly reflecting for light having a wavelength in said selected pass band, where said first stratum and said second stratum are positioned on opposite sides of the substrate adjacent to the first and second surfaces, respectively, of the substrate.

42. The apparatus of claim 21, 22 or 26, wherein both of said spaced apart surfaces of said first stratum are planar and are oriented at a small non-zero angle relative to each other.

43. The apparatus of claim 21 or 26, wherein said first stratum and said photosensor array extend approximately parallel to each other in rectilinear direction.

44. The apparatus of claim 21, 22 or 26, wherein said first stratum and said photosensor array lie along sectors of a first circle and a second circle, respectively, with the two circles being approximately concentric.

45. The apparatus of claim 21 or 26, wherein each of said photosensors has a light-receiving face and at least two of said photosensor faces each have a corresponding linear dimension that differ from each other.

46. The apparatus of claim 21, 22 or 26, wherein said filter material is drawn from the class of materials consisting of magnesium fluoride, zinc sulfide, calcite, sapphire, aluminum, and oxides of silicon, germanium, calcium, cadmium, aluminum, titanium, cerium and zirconium.

50. The apparatus of claim 21 or 26, further comprising a collimator positioned between a light source and said light-receiving plane to receive and collimate a light beam from the light source before the light beam reaches said light-receiving plane.

51. The apparatus of claim 21 or 26, further comprising light distribution means for receiving a light beam, for altering the light intensity spatial distribution of the light beam and for issuing the light beam so that the light intensity spatial distribution for light received at said light-receiving plane is more uniform along said selected direction.

52. The apparatus of claim 21 or 26, further comprising light distribution means for receiving a light beam, for altering the light intensity spatial distribution of the light beam and for issuing the light beam so that the light intensity spatial distribution for light received at said light-receiving plane is increased near one end of said photosensor array.

53. The apparatus of claim 21 or 26, further comprising a lens positioned so that said first stratum lies between the lens and said photosensor array to focus an incident light beam on said first stratum.

54. The apparatus of claim 21 or 26, further comprising a lens positioned between said first stratum and said photosensor array to focus light issuing from said first stratum on said photosensor array.

55. Light filter and sensor apparatus according to claim 21, 22 or 26, wherein said photosensor array has at least first and second photosensors that receive first and second portions, respectively, of an incident light beam that has issued from said first stratum, and the first and second photosensors have first and second central wavelengths λ

₁ and λ

₂, respectively, and the first photosensor or the second photosensor produces an electrical output signal when the first photosensor or the second photosensor, respectively, receives a portion of an incident light beam from said first stratum,

whereby the apparatus can receive and sense at least two electromagnetic signals, each having a different wavelength.

56. The apparatus of claim 55, further comprising:

an electrical signal multiplexer having first and second input terminals to receive said first and second photosensor output signals, respectively, and having an output terminal to alternatingly issue, as an output signal thereat, the input signal received at the first input terminal or at the second input terminal.

57. The apparatus of claim 21 or 26, wherein each photosensor in said array of photosensors has a photosensor element with an output terminal at which an electrical signal appears in response to receipt of a light at the photosensor element.

58. The apparatus of claim 57, wherein said electrical output signal appearing at each of said photosensor elements has a gain factor applied thereto, and two or more of these gain factors have different values, corresponding to a predetermined pattern of such gain factors.

59. The apparatus of claim 58, further comprising wavelength accumulation means for receiving said electrical output signals from said photosensor elements and for determining the sum of the amount of light received at two or more of said photosensor elements.

60. The apparatus of claim 57, further comprising wavelength analysis means for receiving said electrical output signals from said photosensor elements and for determining the relative amounts of light received in the interval of wavelengths received by each of two or more of said photosensor elements.

61. The apparatus of claim 57, further comprising wavelength accumulation means for receiving said electrical output signals from said photosensor elements and for determining the sum of the amount of light received at two or more of said photosensor elements.

22. Light filter and sensor apparatus having a band pass with a central wavelength for transmitted light that varies with displacement of position in a selected spatial direction in a light-receiving surface of a filter, the apparatus comprising:

a first stratum of filter material, that has two spaced apart surfaces facing each other, with one of these surfaces being positioned to receive incident light thereat, with a distance of separation h₁ (x) between these two surfaces that varies monotonically with increase in a position coordinate x measured in a selected direction in a light-receiving surface of the first stratum, that is highly transmitting for incident light having a wavelength λ

lying in a narrow wavelength pass band that has a pass band central wavelength λ

_c (x) at a position given by the spatial coordinate x, where λ

_c (x) varies monotonically with increase in the coordinate x;

a second stratum of filter material, positioned adjacent to one of the two surfaces of the first stratum, that has two spaced apart surfaces facing each other, with a distance of separation h₂ (x) between these two surfaces that varies monotonically with increase in the position coordinate x, that is highly transmitting for incident light having the wavelength λ

_c (x) at a position with coordinate x, that is substantially fully absorbing or reflecting for incident light having a wavelength approximately equal to a wavelength of any transmittance side band of the first stratum of filter material, and that is positioned so that light that issues from one of the first stratum and the second stratum is received by the other stratum; and

an array of photosensors extending in the selected direction, with each photosensor being positioned to receive a portion of a light beam that is issued from the first or second stratum at a position measured in the selected direction.

28. The apparatus of claim 22 or 27, wherein said second stratum of filter material is substantially fully absorbing or transmitting for light having a wavelength λ

=λ

_c +Δ

λ

with |Δ

λ

|/λ

_c >

0.5.

26. Light filter and sensor apparatus having a band pass with a central wavelength for transmitted light that varies with displacement of position in a selected spatial direction in a light-receiving surface of a filter, the apparatus comprising:

a first stratum of filter material, that has two spaced apart surfaces facing each other, with one of these surfaces being positioned to receive incident light thereat, with a distance of separation h₁ (x) between these two surfaces that varies monotonically with increase in a position coordinate x measured in a selected direction in a light-receiving surface of the first stratum, that is highly transmitting for incident light having a wavelength λ

lying in a narrow wavelength pass band that has a pass band central wavelength λ

_c (x) at a position given by the spatial coordinate x, where λ

_c (x) varies monotonically with increase in the coordinate x;

an array of photosensors extending in the selected direction, with each photosensor being positioned to receive a portion of a light beam that is issued from the first or second stratum at a position measured in the selected direction.

27. The apparatus of claim 26, further comprising a second stratum of filter material, positioned adjacent to one of said two surfaces of said first stratum, having two spaced apart surfaces facing each other, with a distance of separation h₂ (x) that increases monotonically with displacement of said position coordinate x in said selected direction, that is at least partly reflecting for light having said wavelength λ

_c, that is substantially fully absorbing or transmitting for light having a second wavelength approximately equal to a wavelength of any reflectance side band of said first stratum of filter material, and that is positioned so that light issued from one of said first stratum and the second stratum is received by the other stratum.

29. The apparatus of claim 27, wherein said first stratum receives and reflects part of an incoming light beam at a first non-zero incidence angle, said second stratum is spaced apart from and receives a reflected light beam from said first stratum at a second non-zero incidence angle, and said photosensor array is spaced apart from and receives a reflected light beam from said second stratum.

30. The apparatus of claim 27, wherein said second stratum receives and reflects part of an incoming light beam at a first non-zero incidence angle, said first stratum is spaced apart from and receives a reflected light beam from said second stratum at a second non-zero incidence angle, and said photosensor array is spaced apart from and receives a reflected light beam from said first stratum.

31. The apparatus of claim 26, further comprising a second stratum of filter material, positioned adjacent to one of said two surfaces of said first stratum, that has two spaced apart surfaces each other with a distance of separation h₂ (x) that increases monotonically with displacement of said position coordinate x in said selected direction, that is at least partly transmitting for light having said wavelength λ

_c, that is substantially fully absorbing or reflecting for light having a second wavelength approximately equal to a wavelength of any reflectance side band of said first stratum of filter material, and that is positioned so that light issued from one of said first stratum and second stratum is received by the other stratum.

47. The apparatus of claim 26, further comprising:

a second stratum of filter material, positioned adjacent to said first stratum, that has two spaced apart surfaces facing each other, with one of these surfaces being positioned to receive incident light thereat, and that is at least partly reflecting for incident light having a wavelength λ

lying in a narrow wavelength pass band having said central wavelength λ

_c (x) varies monotonically with increase in said coordinate x; and

a second array of photosensors extending in said selected direction, with each photosensor in the second array being positioned to receive a portion of a light beam that is reflected from the second stratum at a position measured in said selected direction.

48. The apparatus of claim 47, wherein said second stratum has a selected band of wavelengths that includes at least one wavelength not included in said selected band of said first stratum.

49. Light filter and sensor apparatus according to claim 47, wherein said first photosensor array receives a portion of an incident light beam having wavelengths in a first wavelength interval I₁ and said second photosensor array receives a portion of the incident light beam having wavelengths in a second wavelength interval I₂,

whereby the system can determine the energy of an incident light beam in each of two different wavelength intervals.

62. Light filter apparatus having a band pass with a central wavelength for transmitted light that varies continuously with displacement of position in a selected spatial direction in a light-receiving surface of a filter, the apparatus comprising:

a first edge filter that is approximately fully transmitting for incident light of wavelength equal to a selected central wavelength λ

_c and that is substantially non-transmitting for incident light having a wavelength λ

=λ

_c +Δ

λ

₁, with Δ

λ

/λ

_c >

0.1;

a second edge filter that is approximately fully transmitting for incident light of wavelength λ

_c and that is substantially non-transmitting for incident light of wavelength λ

=λ

_c -Δ

λ

₂ with Δ

λ

₂ /λ

_c >

0.1, where the wavelength λ

_c increases monotonically with displacement of position in said selected spatial direction;

a band pass filter stratum, positioned adjacent to at least one of the first edge filter and the second edge filter, that is approximately fully transmitting for incident light of wavelength λ

_c and that is substantially non-transmitting for light of wavelength λ

=λ

_c +Δ

λ

₃ with |Δ

λ

₃ /λ

_c |>

0.5, where the first and second edge filters and the band pass filter stratum are positioned to serially receive and transmit a portion of an incident light beam.

63. The apparatus of claim 62, wherein each of said first edge filter and said second edge filter has two spaced apart filters that face each other, and a distance of separation of the two spaced apart surfaces of each edge filter increases monotonically with displacement of said position in said selected direction, and said first edge filter and said second edge filter have positions for which the distances of separation are equal to m₁ λ

_c /2n₁ and m₂ λ

_c /2n₂, respectively, where m₁ and m₂ are positive integers and n₁ and n₂ are the real parts of refractive indices of materials in said first edge filter and said second edge filter, respectively.

64. The apparatus of claim 62, further comprising an array of photosensors extending in said selected direction, with each photosensor being positioned to receive a portion of a light beam that is transmitted serially through said first and second edge filters and said band pass filter stratum at a position measured in said selected direction.

65. The apparatus of claim 62, wherein each of said first edge filter and said second edge filter has two spaced apart filters that face each other, and a distance of separation of the two spaced apart surfaces of each edge filter increases monotonically with displacement of said position in said selected direction, and said first edge filter and said second edge filter have positions for which the distances of separation are equal to (m₁ -1/2)λ

_c /2n₁ and (m₂ -1/2)λ

_c /2n₂, respectively, where m₁ and m₂ are positive integers and n₁ and n₂ are the real parts of refractive indices of materials in said first edge filter and said second edge filter, respectively.

68. The apparatus of claim 62 or 66, wherein said band pass filter stratum has a wavelength pass band that does not vary substantially with displacement of said position in said selected direction.

69. The apparatus of claim 62 or 66, wherein said band pass filter stratum has two spaced apart, light-receiving surfaces that face each other and a distance of separation of these two surfaces increases monotonically with displacement of said position in said selected direction.

66. Light filter apparatus having a band pass with a central wavelength for reflected light that varies continuously with displacement of position in a selected spatial direction in a light-receiving surface of a filter, the apparatus comprising:

a first edge filter that is approximately fully reflecting for incident light of wavelength equal to a selected central wavelength λ

_c and that is substantially non-reflecting for incident light having a wavelength λ

=λ

_c +Δ

λ

₁ with Δ

λ

/λ

_c >

0.1;

a second edge filter that is approximately fully reflecting for incident light of wavelength λ

_c and that is substantially non-reflecting for incident light of wavelength λ

=λ

_c -Δ

λ

₂ with Δ

λ

₂ /λ

_c >

0.1, where the wavelength λ

_c increases monotonically with displacement of position in said selected spatial direction;

a band pass filter stratum, positioned adjacent to at least one of the first edge filter and the second edge filter, that is approximately fully reflecting for incident light of wavelength λ

_c and that is substantially non-reflecting for light of wavelength λ

=λ

_c +Δ

λ

₃ with |Δ

λ

₃ /λ

_c |>

0.5, where the first and second edge filters and the band pass filter stratum are positioned to serially receive and reflect a portion of an incident light beam.

67. The apparatus of claim 66, further comprising an array of photosensors extending in said selected direction, with each photosensor being positioned to receive a portion of a light beam that is reflected serially from said first and second edge filters and said band pass filter stratum at a position measured in said selected direction.

70. Light filter apparatus having a band pass with a central wavelength for light that varies with displacement of position in a selected spatial direction in a light-receiving surface of a filter, the apparatus comprising:

a multi-layer first filter that is at least partly transmitting for light having a wavelength λ

_c, the filter having N(N≧

4) layers of material with relatively high refractive index n_H and having N-1 layers of material with relatively low refractive index n_L, where the high index layers and the low index layers are positioned adjacent to and alternate with each other to form a multi-layer structure, where each high index layer has a thickness equal to (2p-1)λ

_c /4n_H for some positive integer p, each of the low index layers, except for two layers, has a thickness equal to (2q-1)λ

_c /4n_L for some positive integer q, and two of the low index layers have thicknesses that increase monotonically with displacement of position in the selected direction, and for at least one position the thicknesses of these two low index layers are approximately m₁ λ

_c /2n_L and m₂ λ

_c /2n_L for two positive integers m₁ and m₂, where λ

_c is a selected wavelength in the selected pass band; and

a second filter that is at least partly transmitting for light having the wavelength λ

_c, that is substantially fully absorbing or reflecting for light having a wavelength approximately equal to a wavelength of any side band of the first filter, and that is positioned so that light transmitted through one of the first filter and the second filter is received by the other filter.

74. The apparatus of claim 70 or 72, wherein said second filter is substantially fully absorbing or reflecting for light having a wavelength λ

=λ

_c +Δ

λ

with |Δ

λ

|/λ

_c >

0.5.

76. The apparatus of claim 70, 71, 72 or 73, wherein said second filter has two spaced apart light-receiving surfaces facing each other, with a distance of separation that increases monotonically with displacement of position in the selected direction.

71. Light filter apparatus having a band pass with a central wavelength for light that varies with displacement of position in a selected spatial direction in a light-receiving surface of a filter, the apparatus comprising:

a multi-layer first filter that is at least partly transmitting for light having a wavelength λ

_c, the filter having N(N≧

4) layers of material with relatively high refractive index n_H and having N-1 layers of material with relatively low refractive index n_L, where the high index layers and the low index layers are positioned adjacent to and alternate with each other to form a multi-layer structure, where each high index layer has a thickness equal to (2q-1)λ

_c /4n_H for some positive integer q, and two of the high index layers have thicknesses that increase monotonically with displacement of position in the selected direction, and for at least one position the thicknesses of these two high index layers are approximately m₁ λ

_c /2n_H and m₂ λ

_c /2n_H for two positive integers m₁ and m₂, where λ

_c is a selected wavelength in the selected pass band; and

a second filter that is at least partly transmitting for light having the wavelength λ

_c, that is substantially fully absorbing or reflecting for light having a wavelength approximately equal to a wavelength of any side band of the first filter, and that is positioned so that light transmitted through one of the first filter and the second filter is received by the other filter.

75. The apparatus of claim 71 or 73, wherein said second filter is substantially fully absorbing or transmitting for light having a wavelength λ

=λ

_c +Δ

λ

with |Δ

λ

|/λ

_c >

0.5.

72. Light filter apparatus having a band pass with a central wavelength for light that varies with displacement of position in a selected spatial direction in a light-receiving surface of a filter, the apparatus comprising:

a multi-layer first filter that is at least partly transmitting for light having a wavelength λ

_c, the filter having N(N≧

4) layers of material with relatively low refractive index n_L and having N-1 layers of material with relatively high refractive index n_H, where the high index layers and the low index layers are positioned adjacent to and alternate with each other to form a multi-layer structure, where each high index layer has a thickness equal to (2p-1)λ

_c /4n_H for some positive integer p, each of the low index layers, except for two layers, has a thickness equal to (2q-1)λ

_c /4n_L for some positive integer q, and two of the low index layers have thicknesses that increase monotonically with displacement of position in the selected direction, and for at least one position the thicknesses of these two low index layers are approximately m₁ λ

_c /2n_L and m₂ λ

_c /2n_L for two positive integers m₁ and m₂, where λ

_c is a selected wavelength in the selected pass band; and

a second filter that is at least partly transmitting for light having the wavelength λ

_c, that is substantially fully absorbing or reflecting for light having a wavelength approximately equal to a wavelength of any side band of the first filter, and that is positioned so that light transmitted through one of the first filter and the second filter is received by the other filter.

73. Light filter apparatus having a band pass with a central wavelength for light that varies with displacement of position in a selected spatial direction in a light-receiving surface of a filter, the apparatus comprising:

a multi-layer first filter that is at least partly transmitting for light having a wavelength λ

_c, the filter having N(N≧

4) layers of material with relatively low refractive index n_L and having N-1 layers of material with relatively high refractive index n_H, where the high index layers and the low index layers are positioned adjacent to and alternate with each other to form a multi-layer structure, where each high index layer has a thickness equal to (2p-1)λ

_c /4n_H for some positive integer p, each of the high index layers, except for two layers, has a thickness equal to (2q-1)λ

_c /4n_H for some positive integer q, and two of the high index layers have thicknesses that increase monotonically with displacement of position in the selected direction, and for at least one position the thicknesses of these two high index layers are approximately m₁ λ

_c /2n_H and m₂ λ

_c /2n_H for two positive integers m₁ and m₂, where λ

_c is a selected wavelength in the selected pass band; and

a second filter that is at least partly transmitting for light having the wavelength λ

_c, that is substantially fully absorbing or reflecting for light having a wavelength approximately equal to a wavelength of any side band of the first filter, and that is positioned so that light transmitted through one of the first filter and the second filter is received by the other filter.

77. A method of dispersing a light beam continuously into a plurality of wavelength intervals that form a continuous spectrum with wavelength increasing monotonically in a selected spatial direction, the method comprising the steps of:

providing a first stratum of filter material having two spaced apart, light-receiving surfaces facing each other, the first stratum being partly transmitting and partly reflecting for light received at a light-receiving surface thereof and having a wavelength in a selected pass band of wavelengths, where a distance of separation h₁ (x) of the two surfaces increases monotonically with displacement of position in the selected direction and for at least one selected position the distance of separation h₁ (x) is approximately equal to mλ

_c /2n, where m is a positive integer and n is the real part of the refractive index of the material for light of a selected wavelength λ

_c in the selected pass band;

providing a second stratum of filter material, having two spaced, apart light-receiving surfaces facing each other with a distance of separation h₂ (x) that increases monotonically with displacement in the selected direction, that is at least partly transmitting for light having the wavelength λ

_c, that is substantially fully absorbing or reflecting for light having a second wavelength approximately equal to a wavelength of any transmittance sideband of the first stratum of filter material, and that is positioned so that light transmitted through one of the first stratum and the second stratum is received by the other stratum; and

directing a beam of light so that the beam illuminates at least a portion of the first stratum or the second stratum in the selected direction.

83. The method of claim 77, 78, 79 or 80, further comprising the steps of:

providing a substrate of material with a surface that is at least partly reflecting for light having a wavelength in said selected pass band; and

positioning said first stratum and said second stratum adjacent to each other and adjacent to the substrate surface.

84. The method of claim 77, 78, 79 or 80, further comprising the steps of:

providing a substrate of material having fist and second opposed surfaces that are each at least partly reflecting and the material being at least partly transmitting, for light having a wavelength in said selected pass band; and

positioning said first stratum and said second stratum on opposite sides of the substrate adjacent to the first and second opposed surfaces, respectively, of the substrate.

78. A method of dispersing a light beam continuously into a plurality of wavelength intervals that form a continuous spectrum with wavelength increasing monotonically in a selected spatial direction, the method comprising the steps of:

providing a first stratum of filter material having two spaced apart, light-receiving surfaces facing each other, the first stratum being partly transmitting and partly reflecting for light received at a light-receiving surface thereof and having a wavelength in a selected pass band of wavelengths, where a distance of separation h₁ (x) of the two surfaces increases monotonically with displacement of position in the selected direction and for at least one selected position the distance of separation h₁ (x) is approximately equal to (2m-1)λ

_c /4n, where m is a positive integer and n is the real part of the refractive index of the material for light of a selected wavelength λ

_c in the selected pass band;

providing a second stratum of filter material, having two spaced, apart light-receiving surfaces facing each other, with a distance of separation h₂ (x) that increases monotonically with displacement in the selected direction, that is at least partly reflecting for light having the wavelength λ

_c, that is substantially fully absorbing or transmitting for light having a second wavelength approximately equal to a wavelength of any reflectance sideband of the first stratum of filter material, and that is positioned so that light transmitted through one of the first stratum and the second stratum is received by the other stratum; and

directing a beam of light so that the beam illuminates at least a portion of the first stratum or the second stratum in the selected direction.

79. A method of dispersing a light beam continuously into a plurality of wavelength intervals that form a continuous spectrum with wavelength increasing monotonically in a selected spatial direction, the method comprising the steps of:

providing a first stratum of filter material having two spaced apart, light-receiving surfaces facing each other, the first stratum being partly transmitting and partly reflecting for light received at a light-receiving surface thereof and having a wavelength in a selected pass band of wavelengths, where a distance of separation h₁ (x) of the two surfaces increases monotonically with displacement of position in the selected direction and for at least one selected position the distance of separation h₁ (x) is approximately equal to mλ

_c /2n, where m is a positive integer and n is the real part of the refractive index of the material for light of a selected wavelength λ

_c in the selected pass band;

providing a second stratum of filter material, having two spaced, apart light-receiving surfaces facing each other with a distance of separation h₂ (x) that increases monotonically with displacement in the selected direction, that is at least partly transmitting for light having the wavelength λ

_c, that is substantially fully absorbing or reflecting for light having a second wavelength approximately equal to a wavelength of any transmittance sideband of the first stratum of filter material, and that is positioned so that light transmitted through one of the first stratum and the second stratum is received by the other stratum; and

directing a beam of light so that the beam illuminates at least a portion of the first stratum or the second stratum in the selected direction.

81. The method of claim 79 or 80, further comprising the step of:

providing said second stratum with said distance of separation h₂ (x) that, for said selected position in said selected direction, has a value approximately equal to m'"'"'λ

_c /2n'"'"', where n'"'"' is the real part of the refractive index of said filter material of said second stratum, and m'"'"' is a positive integer that is relatively prime to said positive integer m.

82. The method of claim 79 or 80, further comprising the step of:

providing said second stratum with said distance of separation h₂ (x) that, for said selected position in said selected direction, has a value approximately equal to m'"'"'λ

_c /2n'"'"', where n'"'"' is the real part of the refractive index of said filter material of said second stratum, and m'"'"' is a positive integer that is relatively prime to said positive integer m.

80. A method of dispersing a light beam continuously into a plurality of wavelength intervals that form a continuous spectrum with wavelength increasing monotonically in a selected spatial direction, the method comprising the steps of:

providing a first stratum of filter material having two spaced apart, light-receiving surfaces facing each other, the first stratum being partly transmitting and partly reflecting for light received at a light-receiving surface thereof and having a wavelength in a selected pass band of wavelengths, where a distance of separation h₁ (x) of the two surfaces increases monotonically with displacement of position in the selected direction and for at least one selected position the distance of separation h₁ (x) is approximately equal to (2m-1)λ

_c /4n, where m is a positive integer and n is the real part of the refractive index of the material for light of a selected wavelength λ

_c in the selected pass band;

providing a second stratum of filter material, having two spaced, apart light-receiving surfaces facing each other with a distance of separation h₂ (x) that increases monotonically with displacement in the selected direction, that is at least partly transmitting for light having the wavelength λ

_c, that is substantially fully absorbing or reflecting for light having a second wavelength approximately equal to a wavelength of any reflectance sideband of the first stratum of filter material, and that is positioned so that light transmitted through one of the first stratum and the second stratum is received by the other stratum; and

directing a beam of light so that the beam illuminates at least a portion of the first stratum or the second stratum in the selected direction.