Interferometer
20170268866 · 2017-09-21
Inventors
Cpc classification
International classification
Abstract
An interferometer includes a first interferometer arm and a second interferometer arm. A first central beam, originating from a central image point of an image, passes through the first interferometer arm. A second central beam, originating from the central image point, passes through the second interferometer arm. The first central beam and the second central beam are superimposed and generate a k.sub.perpendicular=0 interference at a superposition point. A first light beam perpendicular to the first central beam, originating from an image point of the image, passes through the first interferometer arm. A second light beam perpendicular to the second central beam, originating from the image point, passes through the second interferometer arm. The first light beam and the second light beam overlap at the superposition point. At the superposition point, a wave vector component of the first light beam opposes a wave vector component of the second light beam.
Claims
1. An interferometer, comprising: a first interferometer arm; and a second interferometer arm, wherein the first interferometer arm and the second interferometer arm are arranged in such a way that a first central beam, originating from a central image point of an original image to be imaged, passes through the first interferometer arm, a second central beam, originating from the central image point of the original image to be imaged, passes through the second interferometer arm, wherein, after passing through the first or second interferometer arm, the first central beam and the second central beam are superimposed and generate a k.sub.perpendicular=0 interference at a superposition point of the first central beam and the second central beam; a first light beam, originating from an image point of the original image to be imaged, passes through the first interferometer arm, and a second light beam, originating from the image point of the original image to be imaged, passes through the second interferometer arm, wherein, after passing through the first or second interferometer arm, the first light beam and the second light beam overlap at the superposition point of the first central beam and the second central beam, and wherein, at the superposition point, a wave vector component of the first light beam which is perpendicular to the first central beam, and a wave vector component of the second light beam, which is perpendicular to the second central beam, are arranged in an opposing manner.
2. The interferometer according to claim 1, wherein at the superposition point, a wave vector component of the first light beam which is perpendicular to the first central beam, and a wave vector component of the second light beam, which is perpendicular to the second central beam, are equal but in opposite directions.
3. The interferometer according to claim 1, further comprising: a detector, wherein the superposition point lies on a detection plane of the detector.
4. The interferometer according to claim 1, wherein the first interferometer arm has a first beam deflecting element and a third beam deflecting element, and the second interferometer arm has a second beam deflecting element and a fourth beam deflecting element, wherein the first central beam or the first light beam impinges in the first interferometer arm on the first beam deflecting element and thereafter on the third beam deflecting element; and the second central beam or the second light beam impinges in the second interferometer arm on the second beam deflecting element and thereafter on the fourth beam deflecting element.
5. The interferometer according to claim 4, wherein at least one among the set consisting of the first beam deflecting element, the third beam deflecting element, the second beam deflecting element and the fourth beam deflecting element comprises at least one diffractive optical element (DOE), in particular a grating, and/or at least one first dielectric medium.
6. The interferometer according to claim 4, wherein the first beam deflecting element is arranged in an arrangement plane which is spanned by the first beam deflecting element and a plane perpendicular to an optical axis, wherein the optical axis, starting from the central image point, is defined by the angle bisector between the first central beam and the second central beam, the second beam deflecting element is arranged in such a way that the distance of the second beam deflecting element from the arrangement plane is smaller than the distance of the second beam deflecting element from the optical axis; the third beam deflecting element, the fourth beam deflecting element and the superposition point are arranged in such a way that the distance of the third beam deflecting element, of the fourth beam deflecting element and of the superposition point from the arrangement plane is in each case smaller than the distance of the third beam deflecting element from the optical axis.
7. The interferometer according to claim 4, wherein the first beam deflecting element is arranged in an arrangement plane which is spanned by the first beam deflecting element and a plane perpendicular to an optical axis, wherein the optical axis, starting from the central image point, is defined by the angle bisector between the first central beam and the second central beam, the second beam deflecting element is arranged in such a way that a connecting line between the point of impingement of the first central beam on the first beam deflecting element and the point of impingement of the second central beam on the second beam deflecting element and the arrangement plane enclose an angle less than or equal to 30°; the third beam deflecting element is arranged in such a way that the first central beam between the first beam deflecting element and the third beam deflecting element and the arrangement plane enclose an angle less than or equal to 30°; the fourth beam deflecting element is arranged in such a way that the second central beam between the second beam deflecting element and the fourth beam deflecting element and the arrangement plane enclose an angle less than or equal to 30°; and the third beam deflecting element and the fourth beam deflecting element are arranged in such a way that the connecting line between the point of impingement of the first central beam on the third beam deflecting element and the superposition point and/or the connecting line between the point of impingement of the second central beam on the fourth beam deflecting element and the superposition point each enclose with the arrangement plane an angle less than or equal to 30°.
8. The interferometer according to claim 4, wherein the optical imaging which transforms the first central beam prior to impingement on the first beam deflecting element into the first central beam after the impingement on the first beam deflecting element, and the optical imaging which transforms the second central beam prior to impingement on the second beam deflecting element into the second central beam after the impingement on the second beam deflecting element, can be transformed into one another by a rotation through a rotation angle of between 150° and 210° about an axis of rotation and/or by a displacement along a displacement vector.
9. The interferometer according to claim 4, wherein the first beam deflecting element and the second beam deflecting element and/or the third beam deflecting element and the fourth beam deflecting element are contained in a single device.
10. The interferometer according to claim 1, wherein at least one beam expander is arranged between the object on the one hand and the first interferometer arm and the second interferometer arm on the other hand.
11. The interferometer according to claim 1, wherein at least one beam splitter is arranged between the object on the one hand and the first interferometer arm and the second interferometer arm on the other hand.
12. The interferometer according to claim 4, wherein at least one beam combining device is arranged between the third beam deflecting element and the fourth beam deflecting element on the one hand and the superposition point on the other hand.
13. The interferometer according to claim 4, wherein at least one among the set consisting of the first beam deflecting element, the third beam deflecting element, the second beam deflecting element and the fourth beam deflecting element comprises at least one D-shaped mirror.
14. The interferometer according to claim 13, wherein the at least one D-shaped mirror comprises a second dielectric medium having a light incidence surface and a refractive index greater than 1.3, and at least two mirror elements arranged downstream of the light incidence surface for deflecting the light beam into a light beam exiting from the at least one D-shaped mirror, wherein the mirror elements are each arranged adjacent to one another, wherein the mirror elements each have a flat reflective surface, wherein the second dielectric medium completely fills a space between the reflective surfaces of the mirror elements and the light incidence surface, and wherein the mirror elements have a size greater than 0.1 mm.
15. The interferometer according to claim 4, wherein either the first interferometer arm and/or the second interferometer arm has a device for changing an optical path of the interferometer arm in question.
16. A method for calibrating a device according to claim 1, in which the following steps are carried out for at least one optical path length difference between the first interferometer arm and the second interferometer arm and for at least one wavelength which is emitted by an original image: creating a pixel raster for the original image; creating a pixel raster for an image; successively generating a light-emitting pixel of the pixel raster of the original image with a normal intensity, the remaining pixels being dark, for each individual pixel of the pixel raster of the original image; and for each light-emitting pixel of the pixel raster of the original image, detecting intensities of the pixel raster of the image to be measured.
17. A method for reconstructing an original image from an image measured using an interferometer according to claim 1, in which the following steps are carried out for at least one optical path length difference between the first interferometer arm and the second interferometer arm and for at least one wavelength which is emitted by an original image: detecting intensities of pixels of a pixel raster of an image; and calculating intensities of pixels of a pixel raster of the original image on the basis of the detected intensities of the pixels of the pixel raster of the image.
Description
BRIEF DESCRIPTION OF THE DRAWINGS
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[0128]
[0129]
[0130]
[0131]
DETAILED DESCRIPTION OF EMBODIMENTS
[0132]
[0133] The central image point 154 is characterized in that the two central beams 112, 118 coming from the central image point 154 have at the superposition point 157 no perpendicular wave vector components and generate a k.sub.perpendicular=0 interference.
[0134] In a device provided in practice, this central image point 154 can be determined after manufacture of the device, by varying the image point until the interference at the superposition point 157 has a k.sub.perpendicular=0 interference. This method has proven itself under laboratory conditions.
[0135]
[0136] The first central beam 112 or the first light beam 160 runs through the first interferometer arm 150, and the second central beam 118 or the second light beam 162 runs through the second interferometer arm 152. Since the object 156 to be imaged is not necessarily at an infinite distance, the first central beam 112 and the second central beam 118 are not necessarily parallel to one another. This also applies to the first light beam 160 and the second light beam 162.
[0137] The light coming from each individual image point 158 or the central image point 154 of the object 156 to be imaged propagates in the form of spherical waves in the direction of the interferometer 100. Different wavefronts of the same spherical wave impinge on the one hand on the first beam deflecting element 104 of the first interferometer arm 150 and on the other hand on the second beam deflecting element 106 of the second interferometer arm 152. This separation of the wavefronts of a single light source, in particular of the spherical wave, is also known as “division of wavefront” in the technical jargon.
[0138] The first interferometer arm 150 and the second interferometer arm 152 are combined via a beam combining device 176. If the coherence condition is satisfied, the light combined by the beam combining device 176 has interferences which can be detected on a detector 125 that is arranged behind the beam combining device 176.
[0139] Various embodiments of a beam combining device 176 are shown in
[0140] The embodiment of the present invention in
[0141] The light wave impinging on the beam splitter 172 is split at the beam splitter 172 into two light waves of identical phase but with different amplitudes. The two split amplitudes may be different, but may also for example be equal. This splitting of the amplitudes of a single light source is also known as “division of amplitude” in the technical jargon.
[0142] Various embodiments of beam splitters 172 are shown in
[0143] In
[0144] An incident light beam 186 impinges on the beam splitter 178 in the indicated arrow direction and is split there into the first exiting light beam 188 and the second exiting light beam 190. The second exiting light beam 190 may optionally be deflected in another direction at the mirror 180. The directions of the first exiting light beam 188 and of the second exiting light beam 190 need not be at right angles to the incident light beam 186, but rather can vary within a certain range. An angle between the incident light beam 186 and the first exiting light beam 188 or the second exiting light beam 190 may be for example between 20° and 160°.
[0145] In
[0146] In
[0147]
[0148] In
[0149] In
[0150] In
[0151]
[0152] In the present case, the first central beam 112 and the second central beam 118 are each shown parallel to the z axis. This means that the object 156 to be imaged is at an infinite distance. However, the present invention also functions in principle with objects 156 to be imaged which are at a finite distance from the interferometer 100. In this case, the first central beam 112 and the second central beam 118 would not be parallel to one another.
[0153] The first central beam 112 is then deflected in the direction of the y axis by the third beam deflecting element 108, which is located at the origin of the coordinate system selected here, whereupon the first central beam 112 impinges on a detector 125 having a detection plane 126. In the present exemplary embodiment, the detector 125 has a two-dimensional arrangement or array of CMOS sensors.
[0154] After having been deflected in the direction of the negative x axis by the second beam deflecting element 106, the second central beam 118 is deflected in the direction of the y axis by the fourth beam deflecting element 110, in the same way as the first central beam 112. Since the third beam deflecting element 108 is configured as a semi-transparent mirror, the first central beam 112 and the second central beam 118 can thus be superimposed behind the third beam deflecting element 108, as seen in the direction coming from the fourth beam deflecting element 110. The superposition point 157 is thus located on the third beam deflecting element 108 or on the half-line behind the third beam deflecting element 108 at any position on the y axis. As described above, a k.sub.perpendicular=0 interference between the first central beam 112 and the second central beam 118 can be detected at the superposition point 157.
[0155] Like the first central beam 112 and the second central beam 118, a first light beam 160 and a second light beam 162 are deflected via multiple reflections onto the detector 125. However, the direction of propagation of the first light beam 160 and of the second light beam 162 does not coincide with the direction of propagation of the first central beam 112 and of the second central beam 118.
[0156] If, compared to the direction of propagation of the first central beam 112 and of the second central beam 118, the direction of propagation of the first light beam 160 and of the second light beam 162 deviates away from the negative z axis along the xy plane, this leads after the reflections at the beam deflecting elements to the situation whereby the first light beam 160 propagates substantially along the y axis, but also has a small component along the xz axis, and the second light beam 162 likewise propagates substantially along they axis, and likewise has a small component along the xz axis, but in exactly the opposite direction to the corresponding component of the first light beam 160. It can thus be said that the perpendicular wave vector component of the first light beam 160 at the superposition point 157 is equal but in an opposite direction to the corresponding perpendicular wave vector component of the second light beam 162. This can be verified in the present case by simple post-calculation. The present embodiment of
[0157]
[0158] Between the object 156 to be imaged and the diffraction grating 184, the first central beam 112 and the second central beam 118 coincide. After the diffraction grating 184, the first central beam 112, after the reflection at the first beam deflecting element 104 and a further reflection at the third beam deflecting element 108, passes through the fourth beam deflecting element 110, which is configured as a semi-transparent mirror, and finally impinges on the detector 125 having the detection plane 126. After the diffraction grating 184, the second central beam 118, after reflection at the second beam deflecting element 106 and a further reflection at the fourth beam deflecting element 110, impinges on the detector 125. The fourth beam deflecting element 110, which is configured as a semi-transparent mirror, is used to superimpose the first central beam 112 and the second central beam 118. Since the fourth beam deflecting element 110 is configured as a semi-transparent mirror, unavoidable losses occur in both arms. The first light beam 160 runs in the same way as the first central beam 112, but has small deviations in comparison thereto. The second light beam 162 runs in the same way as the second central beam 118, but has small deviations in comparison thereto. This embodiment allows a particularly lightweight and compact construction of the interferometer according to the invention.
[0159]
[0160]
[0161] Light from an object 156 to be imaged (not shown) runs along the negative z axis and then impinges on two arrangements of crossed D-shaped mirrors. The z axis is perpendicular to the plane of the drawing and forms a right system or right-hand system with the illustrated x- and y-axes. A first arrangement 202 of two D-shaped mirrors comprises a first D-shaped mirror 206 and a second D-shaped mirror 208. Furthermore, a second arrangement 204 of two D-shaped mirrors comprises a third D-shaped mirror 210 and a fourth D-shaped mirror 212.
[0162] The second arrangement 204 of two D-shaped mirrors is shown three-dimensionally in
[0163] The third D-shaped mirror 210 comprises: a dielectric medium having a flat light incidence surface and a refractive index greater than 1.3, and two mirror elements arranged downstream of the light incidence surface for deflecting the light beam into an exiting light beam, wherein the mirror elements, which are preferably rotatable, are each arranged adjacent to one another and lie in a plane parallel to the light incidence surface. Furthermore, the mirror elements each have a flat reflective surface and the dielectric medium completely fills the space between the reflective surfaces of the mirror elements and the light incidence surface. In addition, the mirror elements have a size greater than 0.1 mm. The remaining D-shaped mirrors 206, 208 and 212 are constructed in a manner identical to the third D-shaped mirror 210.
[0164] The two D-shaped mirrors of an arrangement of two D-shaped mirrors are perpendicular to one another. For example, for the arrangement 204 of two D-shaped mirrors shown in
[0165] The first D-shaped mirror 206 and the second D-shaped mirror 208 are arranged in such a way that an incident light beam impinges firstly on the first D-shaped mirror 206 and then is deflected by the first D-shaped mirror 206 onto the second D-shaped mirror 208.
[0166] The third D-shaped mirror 210 and the fourth D-shaped mirror 212 are arranged in such a way that an incident light beam impinges firstly on the third D-shaped mirror 210 and then is deflected by the third D-shaped mirror 210 onto the fourth D-shaped mirror 212.
[0167] The light incidence surfaces of the first D-shaped mirror 206 and of the third D-shaped mirror 210 are parallel to the xy plane, and the light incidence surfaces of the second D-shaped mirror 208 and of the fourth D-shaped mirror 212 are parallel to the yz plane.
[0168] The perpendicular standing on the light incidence surface of the first D-shaped mirror 206 forms an angle of 90° with the perpendicular standing on the light incidence surface of the second D-shaped mirror 208.
[0169] The perpendicular standing on the light incidence surface of the third D-shaped mirror 210 forms an angle of 90° with the perpendicular standing on the light incidence surface of the fourth D-shaped mirror 212.
[0170] The perpendicular standing on the light incidence surface of the first D-shaped mirror 206 and the perpendicular standing on the light incidence surface of the third D-shaped mirror 210 are parallel and run along the z axis.
[0171] The perpendicular standing on the light incidence surface of the second D-shaped mirror 208 and the perpendicular standing on the light incidence surface of the fourth D-shaped mirror 212 are antiparallel, wherein the perpendicular standing on the light incidence surface of the second D-shaped mirror 208 runs along the negative x axis and the perpendicular standing on the light incidence surface of the fourth D-shaped mirror 212 runs along the x axis.
[0172] The upper edges of the light incidence surface of the first D-shaped mirror 206 and of the third D-shaped mirror 210 are substantially at the same height on the z axis as a lower edge of the second D-shaped mirror 208 and of the fourth D-shaped mirror 212.
[0173] The first D-shaped mirror 206, the second D-shaped mirror 208, the third D-shaped mirror 210 and the fourth D-shaped mirror 212 have a base area of 10 mm×10 mm.
[0174] The light impinging on the first arrangement 202 of two D-shaped mirrors or on the second arrangement 204 of two D-shaped mirrors from the object 156 to be imaged is in each case denoted in
[0175] The light impinging the first arrangement 202 of two D-shaped mirrors from the object 156 to be imaged impinges firstly on the first D-shaped mirror 206, is then deflected along the positive z axis and the positive x axis onto the second D-shaped mirror 208, in order then to impinge on two deflecting mirrors 214, 216 along the negative x axis and the positive x axis, and finally to be detected on the detector 125.
[0176] The light impinging on the second arrangement 204 of two D-shaped mirrors from the object 156 to be imaged impinges firstly on the third D-shaped mirror 210, is then deflected along the positive z axis and the negative x axis onto the fourth D-shaped mirror 212, in order then to impinge on a deflecting mirror 218 along the positive x axis and the negative y axis, in order to impinge from the latter onto the beam splitter 220 and to be deflected by the beam splitter 220 along the positive x axis and negative y axis, and finally to be detected on the detector 125. The first central beam 112 runs via the first arrangement 202 of two D-shaped mirrors and the deflecting mirrors 214, 216 to the detector 125, and the second central beam 118 runs via the second arrangement 204 of two D-shaped mirrors and the beam splitter 220 to the detector 125. The beam splitter 220 can preferably be displaced along the y axis, which can be brought about for example by means of a piezo element. The first light beam 160 and the second light beam 162 run substantially parallel to the first central beam 112 and to the second central beam 118.
[0177] For the embodiment of
LIST OF REFERENCES
[0178] 100 interferometer [0179] 104 first beam deflecting element [0180] 106 second beam deflecting element [0181] 108 third beam deflecting element [0182] 110 fourth beam deflecting element [0183] 112 first central beam [0184] 118 second central beam [0185] 125 detector [0186] 126 detection plane [0187] 150 first interferometer arm [0188] 152 second interferometer arm [0189] 154 central image point [0190] 156 object to be imaged [0191] 157 superposition point [0192] 158 image point [0193] 159 mirror [0194] 160 first light beam [0195] 161 semi-transparent mirror [0196] 162 second light beam [0197] 164 wave vector component perpendicular to the first central beam [0198] 166 wave vector component perpendicular to the second central beam [0199] 172 beam splitter [0200] 176 beam combining device [0201] 178 beam splitter [0202] 180 mirror [0203] 182 combined beam splitter [0204] 184 diffraction grating [0205] 186 incident light beam [0206] 188 first exiting light beam [0207] 190 second exiting light beam [0208] 192 first incident light beam [0209] 194 second incident light beam [0210] 196 exiting light beam [0211] 198 lens [0212] 200 lens [0213] 202 arrangement of two D-shaped mirrors [0214] 204 arrangement of two D-shaped mirrors [0215] 206 first D-shaped mirror [0216] 208 second D-shaped mirror [0217] 210 third D-shaped mirror [0218] 212 fourth D-shaped mirror [0219] 214 deflecting mirror [0220] 216 deflecting mirror [0221] 218 deflecting mirror [0222] 220 beam splitter