Optical scanner using plane linear diffraction gratings on a rotating spinner

• US 4,289,371 A
• Filed: 05/31/1979
• Issued: 09/15/1981
• Est. Priority Date: 05/31/1979
• Status: Expired due to Term

• Current Assignee: Xerox Corporation (Xerox Holdings Corp.)
• Original Assignee: Xerox Corporation (Xerox Holdings Corp.)
• Inventors: Kramer, Charles J.
• Primary Examiner(s): Corbin, John K.
• Assistant Examiner(s): Lee, John D.
• Application Number:
  US06/044,000
• Time in Patent Office: 838 Days
• Field of Search: 350/3.70, 350/3.71, 350/3.72, 350/6.2, 350/6.3, 350/6.5, 350/6.7, 350/162 R, 350/320
• US Class Current: 359/569
• CPC Class Codes: G02B 26/106 having diffraction gratings as scanning elements, e.g. holographic scanners holographic optical elements G02B5/32, holography G03H
• CPC Class Codes: Y10S 359/90 Methods

Abstract

An optical scanning system including a spinner containing at least one plane linear diffraction grating. As the spinner is rotated, a plane reconstruction wave of wavelength λ_r is directed onto the grating creating a diffracted wavefront which can be focused onto an image plane. The grating is constructed so that the ratio of the reconstruction wavelength λ_r to the grating period d is a value lying between the range of 1 and 1.618. The angles of incidence and diffraction of the reconstruction wavefront in a preferred embodiment, approximate 45°.

Claims

1. An optical scanning system including a spinner having formed thereon at least one plane linear diffraction grating having a constant grating period d,

a reconstruction light source of wavelength λ

_r which provides a beam of light directed at an angle of incidence θ

_i to illuminate said grating,

means for rotating said spinner so that said grating rotates through a rotation angle θ

_R and diffracts a portion of the incident light at a diffraction angle θ

_d

said incidence angle θ

_i having a value of between 0° and

89.445°

said diffraction angle θ

_d, having a value between 38.17° and

90°

, the ratio of the wavelength λ

_r to the spacing d having a value of between 1 and 1.618.

2. An optical scanning system according to claim 1 wherein the values of θ

_i and θ

_d are determined by the following relationship;

space="preserve" listing-type="equation">sin θ

.sub.i =λ

.sub.r /d-d/λ

.sub.r

and

space="preserve" listing-type="equation">sin θ

.sub.d =d/λ

.sub.r.

3. An optical scanning system according to claim 1 wherein the values of θ

_i and θ

_d are determined by the following relationship;

space="preserve" listing-type="equation">sin θ

.sub.i =(λ

.sub.r /d-d/λ

.sub.r) sec θ

.sub.R

and

space="preserve" listing-type="equation">sin θ

.sub.d =(1-sec θ

.sub.R)λ

.sub.r /d+d/λ

.sub.r.

4. An optical scanning system according to claim 1 wherein said spinner is of the transmissive type and wherein θ

_i ≈

θ

_d ≈

45°

.

5. An optical scanning system according to claim 1 wherein said grating is formed by ruling techniques.

6. An optical scanning system according to claim 1 wherein said grating is formed as optical thin surface relief grating.

7. An optical scanning system according to claim 1 wherein said grating is formed as an optical volume grating.

8. An optical scanning system according to claim 1 further including means to collimate said reconstruction light source and an optical lens positioned to intercept and focus said diffracted beam onto an image plane to produce a scan line therein.

9. An optical scanning system according to claims 7 or 8 wherein said spinner is of the reflective type and said lens functions as both a source collimator and final imaging element.

10. An optical scanning system according to claim 1 further including an optical lens placed in the path of said reconstruction light source to cause said light to begin to converge before incidence onto said spinner ultimately causing said diffracted light to be focused onto an image plane.

11. The optical scanning system according to claim 1 wherein said diffracted light has a first order and zero order component, said system further including means to modulate said reconstruction wavefront;

means for sampling and comparing a portion of the intensity of light incident on the spinner normal P_m with a portion of the zero order beam power P_o to form an output signal equal to the ratio of P_o /P_m ;

circuit means for comparing said output ratio to a predefined correction factor to provide a correction signal; and

means for applying said correction signal to said modulator.

12. A method of constructing an optical scanning system comprising the steps of:

providing a spinner member having disposed thereon a photosensitive medium;

splitting a plane object beam of coherent radiation having a wavelength λ

_f into a first object beam and a second reference beam, both beams lying in the plane formed by the spinner normal and the spinner diameter;

directing said first beam to impinge on said medium at an angle φ

_o with respect to spinner normal;

directing said second beam to impinge on said medium at an angle φ

_r with respect to normal and in the same plane as said first beam, intersecting the first beam at said medium to form an interference fringe pattern constituting a plane linear diffraction grating having a constant grating period d,

directing a third reconstruction beam of radiation to impinge onto said grating at an angle of incidence θ

_i said angle lying between 0° and

89.445°

, the wavelength λ

_r of said reconstruction beam having a value between 1 and 1.618 times the value of grating period d;

providing means for rotating said spinner so that said grating rotates through a rotation angle θ

_R and diffracts a portion of the incident light at a diffraction angle θ

_d lying between 38.17° and

90°

.

13. The method according to claim 12 wherein λ

_f is equal to λ

_r.

14. The method according to claim 12 wherein λ

_f is not equal to λ

_r.

15. The method according to claim 12 wherein said grating is formed as a thin surface relief grating and including the additional step of replicating at least a portion of said grating onto another spinner surface.

16. A method of constructing an optical scanning system as defined in claim 12 including the additional steps of forming said diffraction gratings slightly non-planar/linear to act as a weak lens and of compensating for the effects of said lens during said forming step.

17. The method of claim 12 wherein said plane object beam is incident in a beam splitter element forming part of a prism assembly, said beam splitter element forming said first object and second reference beams which are reflected from the sides of the prism assembly onto the medium at the angles θ

_o and θ

_r.