Achromatic phase shift device and interferometer using achromatic phase shift device

• US 6,781,740 B1
• Filed: 06/12/2002
• Issued: 08/24/2004
• Est. Priority Date: 09/08/1999
• Status: Expired due to Fees

• Current Assignee: Nederlandse Organisatie Voor Toegepast-Natuurwetenschappelijk Onderzoek
• Original Assignee: Nederlandse Organisatie Voor Toegepast-Natuurwetenschappelijk Onderzoek
• Inventors: Bokhove, Hendrik, Braat, Josephus Johannes Maria
• Primary Examiner(s): Ben, Loha
• Application Number:
  US10/070,613
• Time in Patent Office: 804 Days
• Field of Search: 359/279, 359/462, 359/641, 359/665, 359/669, 359/737, 359/831, 359/832, 359/837, 359/615, 359/586, 347/239, 347/241
• US Class Current: 359/279
• CPC Class Codes: G02B 26/06 for controlling the phase of light G02B26/08 takes precedence , measuring optical phase difference G01J9/00

Abstract

The present invention relates to an achromatic phase shift device (1) for introducing a wavelength independent optical phase shift in a first optical beam (40) during operation, comprising at least one dispersive element (55_k) formed by first refractive means (2_k) and second refractive means (4_k), the first refractive means (2_k) having a first refractive means input plane (6) for receiving the first optical beam (40) and a first refractive means output plane (8) being at a predetermined angle (β) to each other, the second refractive means (4_k) having a second refractive means input plane (10) and a second refractive means output plane (12) being positioned parallel to the first refractive means input plane (6). The device may comprise further pairs (55_k) of respective first and second refractive means (2_k, 4_k). The present invention also relates to an interferometer comprising at least one achromatic phase shift device.

Claims

1. Achromatic phase shift device for introducing a wavelength independent optical phase shift in a first optical beam during operation, comprising at least one dispersive element,

the at least one dispersive element comprising k element pairs (55_k), k being an integer between 1 and M, each element pair being formed by respective first refractive means (2_k) and second refractive means (4_k),

the respective first refractive means (2_k) having a first refractive means input plane (6) for receiving a first optical beam (40) and a first refractive means output plane (8), the first refractive means input plane (6) and the first refractive means output plane (8) being at a predetermined angle β

_k to each other, 0<

β

_k<

π

/2,

the respective second refractive means (4_k) having a second refractive means input plane (10) and a second refractive means output plane (12), said second refractive means input plane (10) being positioned equidistant to the first refractive means output plane (8) and the second refractive means output plane (12) being positioned parallel to the first refractive means input plane (6),

characterised in that

the device (1) introduces a predetermined phase shift ψ

₀ between the first optical beam (40) and a second optical beam (41), the second optical beam (41) running substantially parallel to the first optical beam (40) over an optical path length w₀, a first optical axis (50) being defined from a device input surface (51) to a device output surface (52), the first refractive means (2_k) having a first distance d_k′

along the first optical axis (50) and the second refractive means having a second distance d_k″

along the first optical axis (50), the first optical beam (40) being at an angle θ

_k with the first optical axis (50) and a modified refractive index a_k being defined as a_k=n_k cos θ

_k,

in which the sum d_k of the first and second distance of the first and second refractive means (2_k, 4_k), respectively and the required optical path w₀ are determined by solving the following equations for the wavelengths (λ

₀ . . . λ

_M) at which the predetermined phase shift ψ

₀ should be obtained exactly;

$\begin{array}{ccc}\text{\hspace{1em}<br><br>}& -w_0+a_0<br><br>\left({\mathrm{\lambda <br><br>}}_0\right)<br><br>d_0+\mathrm{\dots <br><br>}+a_{M-1}<br><br>\left({\mathrm{\lambda <br><br>}}_0\right)<br><br>d_{M-1}=\frac{{\mathrm{\psi <br><br>}}_0}{2<br><br>\text{\hspace{1em}<br><br>}<br><br>\mathrm{\pi <br><br>}}<br><br>{\mathrm{\lambda <br><br>}}_0& \text{\hspace{1em}<br><br>}\\ \mathrm{⋮<br><br>}& \mathrm{⋮<br><br>}& \mathrm{⋮<br><br>}\\ \text{\hspace{1em}<br><br>}& -w_0+a_0<br><br>\left({\mathrm{\lambda <br><br>}}_M\right)<br><br>d_0+\mathrm{\dots <br><br>}+a_{M-1}<br><br>\left({\mathrm{\lambda <br><br>}}_M\right)<br><br>d_{M-1}=\frac{{\mathrm{\psi <br><br>}}_0}{2<br><br>\text{\hspace{1em}<br><br>}<br><br>\mathrm{\pi <br><br>}}<br><br>{\mathrm{\lambda <br><br>}}_M& \text{\hspace{1em}<br><br>}\end{array}$

2. Device according to claim 1, characterised in that the respective first refractive means (2_k) of the k element pairs (55_k) are positioned adjacent to each other, forming a first group, the respective first refractive means (2_k) in the first group being in physical contact.

3. Device according to claim 2, characterised in that the respective first and second refractive means (2_k, 4_k) of the k element pairs (55_k) are positioned symmetrically on respective sides of a first element pair (55₀).

4. Device according to claim 1, characterised in that the respective second refractive means (4_k) of the k element pairs (55_k) are positioned adjacent to each other, forming a second group, the respective second refractive means (4_k) in the second group being in physical contact.

5. Device according to claim 1, characterised in that the refractive index (n_k) of the first refractive means (2_k) and the second refractive means (4_k) of a specific pair of the k element pairs (55_k) is substantially equal.

6. Device according to claim 1, characterised in that spaces between the first refractive means (2_k) and the second refractive means (4_k) of each of the k element pairs (55_k) are filled with a predetermined medium having a predetermined refractive index (n₀).

7. Device according to claim 1, characterised in that the device further comprises first control means for moving the first refractive means (2_k) and the second refractive means (4_k) of at least one of the k element pairs (55_k) with respect to each other, the direction of movement being perpendicular to a line of intersection of the input surface and output surface of the first refractive means (2_k).

8. Device according to claim 1, characterised in that the first and second refractive means (2_k, 4_k) are formed by a first and a second prism (2, 4;

3, 5), respectively.

9. Device according to claim 1, characterised in that the device (1) further comprises additional means (35, 36) of a dispersive material for applying a chromatic correction to the optical beam, in which the dispersive material has a refractive index which is different from the refractive index (n_k) of the first and second refractive means (2_k, 4_k) of a first pair (55₀) and plurality of further pairs (55_k).

10. Interferometer having a first input plane and a second input plane for receiving at least a first and a second optical beam and an interference plane for letting the at least first and second optical beam interfere, a first optical path being formed from the first input plane to the interference plane and a second optical path being formed from the second input plane to the interference plane,

comprising optical path delay means for introducing an optical path difference between the first optical path and the second optical path, characterized in that the interferometer further comprises at least one achromatic phase shift device according to claim 1, positioned in at least one of the first optical path and the second optical path.

11. Interferometer according to claim 10, characterised in that an achromatic phase shift device is positioned in each optical path.

12. Interferometer according to claim 10, characterised in that the interferometer comprises main control means for maintaining the phase shift (Ψ

₀) between the at least first and second beam at a predetermined value, the main control means being connected to the optical path delay means (26, 27), and the first control means.

13. Interferometer according to claim 12, characterised in that the predetermined value is equal to π

.

14. Achromatic phase shift device for introducing a wavelength independent optical phase shift in a first optical beam during operation, comprising at least one dispersive element,

the at least one dispersive element comprising k element pairs (55_k), k being an integer between 1 and M, each element pair being formed by respective first refractive means (2_k) and second refractive means (4_k),

the first refractive means (2_k) having a first refractive means input plane (6) for receiving a first optical beam (40) and a first refractive means output plane (8), the first refractive means input plane (6) and the first refractive means output plane (8) being at a predetermined angle β

_k to each other, 0<

β

_k<

π

/2,

the second refractive means (4_k) having a second refractive means input plane (10) and a second refractive means output plane (12), said second refractive means input plane (10) being positioned equidistant to the first refractive means output plane (8) and the second refractive means output plane (12) being positioned parallel to the first refractive means input plane (6), characterised in that

the device introduces a predetermined phase shift ψ

₀ between the first optical beam (40) and a second optical beam (41), the second optical beam (41) running substantially parallel to the first optical beam (40) over an optical path length w₀, a first optical axis (50) being defined from a device input surface (51) to a device output surface (52), the first refractive means (2_k) having a first distance d_k′

along the first optical axis (50) and the second refractive means having a second distance d_k″

along the first optical axis (50), the first optical beam (40) being at an angle θ

_k with the first optical axis (50) and a modified refractive index a_k being defined as a_k=n_k cos θ

_k,

in which the sum d_k of the first and second distance of the first and second refractive means (2_k, 4_k), respectively, and the required optical path w₀ are determined by

requiring constant terms and terms with λ

², λ

³, . . . , λ

^M to become zero and the term with λ

to become equal to ψ

₀/2π

in the equation for the introduced optical path length difference w_d(λ

) according to $w_d<br><br>\left(\mathrm{\lambda <br><br>}\right)=-w_0+\underset{k=0}{\overset{M-1}{\sum <br><br>}}<br><br>\{a_{\mathrm{k0}}+a_{\mathrm{k1}}<br><br>\left(\mathrm{\lambda <br><br>}-{\mathrm{\lambda <br><br>}}_0\right)+{a_{\mathrm{k2}}<br><br>\left(\mathrm{\lambda <br><br>}-{\mathrm{\lambda <br><br>}}_0\right)}^2<br><br>\text{\hspace{1em}<br><br>}<br><br>\mathrm{\dots <br><br>}<br><br>\text{\hspace{1em}<br><br>}\}<br><br>d_k$

in which a_k0, a_k2, . . . =series expansion coefficients of the modified refractive index a_k, according to