Optical position measuring device

Abstract

In an optical position measuring device for detecting the relative position of a first measuring standard and a second measuring standard, movable relative to each other along at least one measuring direction, at a splitting grating, a beam bundle emitted by a light source is split up into at least two partial beam bundles. When passing through scanning beam paths, the partial beam bundles undergo different polarization-optical effects. After the differently polarized partial beam bundles are recombined at a combination grating, a plurality of phase-displaced, displacement-dependent scanning signals is able to be generated from the resulting beam bundle. No polarization-optical components are arranged in the scanning beam paths of the partial beam bundles between the splitting and recombination. To generate the different polarization-optical effects on the partial beam bundles, a conically incident illumination beam bundle impinges upon the splitting grating, the incident illumination beam bundle extending in a plane perpendicular to the measuring direction at an angle other than 0°, the plane of incidence being defined by the grating normal to the splitting grating and the direction of incidence of the illumination beam bundle. The scanning beam paths of the partial beam bundles are arranged in mirror symmetry with respect to the plane of incidence between the splitting and recombination.

Claims

1. An optical position measuring device, comprising: a splitting grating adapted to split an illumination beam bundle emitted by a light source into at least two partial beam bundles; a combination grating adapted to recombine the partial beam bundles, so that a plurality of phase-displaced, displacement-dependent scanning signals is generatable from the resulting signal beam bundle, no polarization-optical components being located in scanning beam paths of the partial beam bundles between the splitting grating and the combination grating; wherein, in order to attain different polarization-optical effects on the partial beam bundles when passing through the scanning beam paths: a conically incident illumination beam bundle impinges upon the splitting grating, the incident illumination beam bundle extending in a plane of incidence perpendicular to the measuring direction at an angle other than 0°, and the plane of incidence defined by a grating normal to the splitting grating and a direction of incidence of the illumination beam bundle; and the scanning beam paths of the partial beam bundles are formed in mirror symmetry with respect to the plane of incidence; and wherein the optical position measuring device is adapted to detect a relative position of a first measuring standard and a second measuring standard, movable relative to each other along at least one measuring direction.

2. The optical position measuring device according to claim 1, wherein the illumination beam bundle emitted by the light source has a linear polarization having a symmetrical or antisymmetrical mirror symmetry with respect to the plane of incidence.

3. The optical position measuring device according to claim 2, wherein at least one grating is arranged in the scanning beam paths of the partial beam bundles between the splitting grating and the combination grating such that: the mirror symmetry with respect to the plane of incidence is maintained for the partial beam bundles; and a polarization crosstalk of partial beam bundles that are polarized in a perpendicular and parallel manner is possible.

4. The optical position measuring device according to claim 3, wherein the partial beam bundles have an opposite circular polarization at the recombination location.

5. The optical position measuring device according to claim 3, wherein the partial beam bundles have a mutually orthogonal elliptical polarization at the recombination location.

6. The optical position measuring device according to claim 3, wherein the partial beam bundles are polarized such that, at the recombination location, a vector product of associated Jones vectors does not exceed ⅔.

7. The optical position measuring device according to claim 1, wherein the first measuring standard includes a first reflection grating or transmission grating, which extends in the measuring direction and functions as a splitting grating for the illumination beam bundle.

8. The optical position measuring device according to claim 7, wherein the first measuring standard includes a second reflection grating or transmission grating, which extends in the measuring direction and functions as a combination grating for the partial beam bundles.

9. The optical position measuring device according to claim 7, wherein the second measuring standard includes a transparent plate in which a diffractive roof prism having a lens and a reflector is provided for each partial beam bundle.

10. The optical position measuring device according to claim 9, wherein: on a first side of the transparent plate facing the first measuring standard, the lenses include at least one transmission grating; and on a second side of the transparent plate facing away from the first measuring standard, the reflector includes at least one reflecting layer, having a reflecting side oriented in a direction of the first side of the plate.

11. The optical position measuring device according to claim 9, wherein the first measuring standard and the second measuring standard are arranged such that: the illumination beam bundle incident from the light source is split up into two partial beam bundles at the first reflection grating of the first measuring standard and the partial beam bundles then propagate in a direction of the second measuring standard; the partial beam bundles pass through a diffractive retro-reflector or a roof reflector in the transparent plate of the second measuring standard and then propagate back again in a direction of the first measuring standard at a perpendicular offset with respect to the measuring direction; and the partial beam bundles are superposed at a recombination location on the second reflection grating of the first measuring standard, and a signal beam bundle with the pair of superposed partial beam bundles propagates back again in the direction of the second measuring standard.

12. The optical position measuring device according to claim 11, further comprising a scanning unit, stationary in relation to the two measuring standards, including a path-folding mirror, a grating, a lens, and a plurality of polarizers, the scanning unit being coupled via at least one optical fiber to a light source and a plurality of detector elements.

13. The optical position measuring device according to claim 11, further comprising a scanning unit, stationary in relating to the two measuring standards, including a light source, a path-folding mirror, a grating, a lens, a plurality of polarizers, and a plurality of detector elements.

14. The optical position measuring device according to claim 8, wherein the second measuring standard includes a transparent plate in which a diffractive retro-reflector or a diffractive roof prism having a lens and a reflector is provided for each partial beam bundle.

15. The optical position measuring device according to claim 14, wherein: on a first side of the transparent plate facing the first measuring standard, the lenses include at least one transmission grating; and on a second side of the transparent plate facing away from the first measuring standard, the reflector includes at least one reflecting layer, having a reflecting side oriented in a direction of the first side of the plate.

16. The optical position measuring device according to claim 14, wherein the first measuring standard and the second measuring standard are arranged such that: the illumination beam bundle incident from the light source is split up into two partial beam bundles at the first reflection grating of the first measuring standard and the partial beam bundles then propagate in a direction of the second measuring standard; the partial beam bundles pass through a diffractive retro-reflector or a roof reflector in the transparent plate of the second measuring standard and then propagate back again in a direction of the first measuring standard at a perpendicular offset with respect to the measuring direction; and the partial beam bundles are superposed at a recombination location on the second reflection grating of the first measuring standard, and a signal beam bundle with the pair of superposed partial beam bundles propagates back again in the direction of the second measuring standard.

17. The optical position measuring device according to claim 16, further comprising a scanning unit, stationary in relation to the two measuring standards, including a path-folding mirror, a grating, a lens, and a plurality of polarizers, the scanning unit being coupled via at least one optical fiber to a light source and a plurality of detector elements.

18. The optical position measuring device according to claim 16, further comprising a scanning unit, stationary in relating to the two measuring standards, including a light source, a path-folding mirror, a grating, a lens, a plurality of polarizers, and a plurality of detector elements.

19. The optical position measuring device according to claim 1, wherein each of the measuring standards is movable along at least one measuring direction.

Description

BRIEF DESCRIPTION OF THE DRAWINGS

(1) FIG. 1 schematically illustrates a conventional optical position measuring device.

(2) FIG. 2a is a first schematic view of the unfolded scanning beam path of the optical position measuring device according to an example embodiment of the present invention, in a plane that includes the measuring direction.

(3) FIG. 2b is a second schematic view of the unfolded scanning beam path of the optical position measuring device illustrated in FIG. 2a, in a plane that is oriented perpendicular to the measuring direction.

(4) FIG. 3a is a first schematic view of an optical position measuring device according to an example embodiment of the present invention.

(5) FIG. 3b is a second schematic view of the optical position measuring device illustrated in FIG. 3a.

(6) FIG. 4a is a plan view of the first measuring standard of the optical position measuring device illustrated in FIGS. 3a and 3b, together with the reflection gratings situated thereon.

(7) FIG. 4b is a plan view of the first side of the second measuring standard of the optical position measuring device illustrated in FIGS. 3a and 3b, together with the transmission grating situated thereon.

(8) FIG. 4c is a plan view of the second side of the second measuring standard of the optical position measuring device illustrated in FIGS. 3a and 3b, together with the reflector situated thereon.

DETAILED DESCRIPTION

(9) Fundamental principles of the optical position measuring device according to example embodiments of the present invention are discussed below with reference FIGS. 2a to 4c.

(10) FIGS. 2a and 2b schematically illustrate two different views of the scanning beam path of an optical position measuring device. FIG. 2a illustrates the unfolded scanning beam path in a plane that includes measuring direction x, and FIG. 2b illustrates the unfolded scanning beam path in a plane that is oriented perpendicular to measuring direction x.

(11) As can be understood from the illustrated unfolded scanning beam paths, the optical position measuring device includes an illumination device 10 having a light source 11, a first measuring standard 20 having a splitting grating 21 and a combination grating 22, a second measuring standard 30 having a twice-traversed grating 31, and a detection unit 40 including a grating 41, polarizers 42, and a detector system 43.

(12) The two measuring standards 20, 30 in the position measuring device are arranged in a manner that allows mutual movement or displacement along the indicated at least one measuring direction x. Each of the two measuring standards 20, 30 in the illustrated example is able to move along measuring direction x. As an alternative, it is basically sufficient that relative mobility of the two measuring is provided, e.g., that only one measuring standard is movable along at least one measuring direction, and the other is stationary, for example.

(13) The two measuring standards 20, 30 may include both reflection and transmission gratings.

(14) In the illustration of the unfolded beam path in FIGS. 2a and 2b, first measuring standard 20 is shown twice in each case, since it is acted upon twice in the course of the beam path, i.e., a first time by the illumination beam bundle B impinging from the direction of light source 11, which is split into two partial beam bundles TS1, TS2 at splitting grating 21 of first measuring standard 20, and a second time at a combination grating 22 by partial beam bundles TS1, TS2 undergoing the recombination. Analogous thereto, the two passed-through gratings 31.1, 31.2 in second measuring standard 30 are shown in FIGS. 2a and 2b as well.

(15) The unfolded partial scanning beam paths of the two partial beam bundles TS1, TS2 split up at first measuring standard 20 can be seen in the individual partial depictions of FIGS. 2a and 2b. Between the splitting of the incident illumination beam bundle B at splitting grating 21 of first measuring standard 20 and the recombination of partial beam bundles TS1, TS2 at combination grating 22 of first measuring standard 20, partial beam bundles TS1, TS2 pass through second measuring standard 20, or rather the gratings 31.1, 31.2 provided there, on two occasions.

(16) The pair of partial beam bundles TS1, TS2 recombined at combination grating 22 subsequently propagates as signal beam bundle S in the direction of detection unit 40, where multiple phase-displaced scanning signals are able to be generated therefrom in, e.g., a conventional polarization-optical manner with the aid of a grating 41, downstream polarizers 42, and detector system 43. As far as the design and method of functioning of detection unit 40 are concerned, reference is made to European Published Patent Application No. 0 481 356, mentioned above, which is expressly incorporated herein in its entirety by reference thereto.

(17) In the position measuring device, multiple measures, which will be discussed in more detail below, ensure that the partial beam bundles TS1, TS2 to be superimposed are polarized in a mutually orthogonal manner. Propagating in the direction of detection unit 40 thus is a polarization-encoded signal beam bundle S, from which multiple phase-displaced scanning signals are able to be generated. Discrete polarization-optical components in the scanning beam path for generating the polarization-encoded signal beam bundle S are not required. Instead, the different polarization of the partial beam bundles TS1, TS2 that are going to be superposed is ensured by the measures described below.

(18) One such measure consists of arranging the scanning beam paths of partial beam bundles TS1, TS2 in mirror symmetry with plane of incidence E between the split and the recombination, as illustrated in FIG. 2a. This symmetry refers both to the propagation direction of the partial beam bundles and their polarization directions. As illustrated in FIG. 2a, the plane of incidence has a perpendicular orientation with respect to the drawing plane. In general, plane of incidence E is to be defined as the plane that is bound by the direction of incidence of illumination beam bundle B propagating in the direction of first measuring standard 20, and the normal to splitting grating 21. The optical components integrated into measuring standards 20 and 30 are arranged to be substantially translation-invariant in measuring direction x. This ensures that the symmetry of illumination beam bundle B with respect to plane of incidence E is unable to be canceled by measuring standards 20 and 30.

(19) The illumination beam bundles B emitted by the light source incidentally has a linear polarization exhibiting symmetrical or antisymmetrical mirror symmetry with respect to plane of incidence E. Illumination beam bundle B may be s-polarized or p-polarized here, i.e., the associated Jones vector

(20) $\hspace{1em}\left(\begin{array}{c}{E}_x\\ E_y\end{array}\right)$
is

(21) $\hspace{1em}\left(\begin{array}{c}1\\ 0\end{array}\right)$
or

(22) $\left(\begin{array}{c}0\\ 1\end{array}\right).$
In view of the Jones calculus for describing linear optical images while taking the polarization into account, reference is made to the “Jones Calculus” entry in the Internet Wikipedia encyclopedia (see, e.g., Mar. 15, 2014 revision).

(23) Furthermore, splitting grating 21 on first measuring standard 20 is impinged upon by a conically incident illumination beam bundle B, e.g., at an angle that is not perpendicular. Incident illumination beam bundle B extends in a plane perpendicular to measuring direction x at an angle other than 0°. It therefore has a directional propagation component that is oriented perpendicularly to the grating normal of splitting grating 21 and perpendicularly to measuring direction x. No directional component in measuring direction x is included in illumination beam bundle B. For this, illumination unit 10 including light source 11 must be appropriately designed or disposed, possibly such that illumination beam bundle B does not lie in the z-direction, but in the yz plane, if x denotes the measuring direction and z is the direction of the normal to first measuring standard 20. In view of the conical illumination of splitting grating 21, reference is made to FIG. 2b, for example, which illustrates the scanning beam path in plane of incidence E or illumination beam bundle B that impinges upon splitting grating 21 in plane of incidence E in an oblique manner. Plane of incidence E is defined by the grating normal to splitting grating 21 and the direction of incidence of illumination beam bundle B. The conical incidence of illumination beam bundle B upon measuring standards 20, 30 causes what is generally referred to as polarization crosstalk, which manifests itself in secondary diagonal elements m.sub.sp and m.sub.ps, different from zero, of the Jones matrix of the optical system having the two measuring standards 20, 30, and leads to a differentiability of partial beam bundles TS1, TS2.

(24) The reciprocal action of each grating 21, 22, 31.1, 31.2 with the corresponding partial beam bundles TS1, TS2 is described via a Jones matrix M.sub.Z.sup.(n), which is a function of the individual layer and of grating parameters and describes the over-coupling of the electric field into the possible polarization states s and p in correct phase relation.

(25) Splitting grating 21 is denoted by A below, the two lens gratings 31.1, 31.2 are denoted by L1, L2, a reflector 32 possibly provided between the two lenses is denoted by R, and combination grating 22 is denoted by V.

(26) The grating parameters of the different gratings 21, 22, 31.1, 31.2 are determined, for example, such that given an incoming s-polarized electrical field featuring the Jones vector

(27) $\left(\begin{array}{c}1\\ 0\end{array}\right),$
the orthogonally circular Jones vectors result for the two partial beam bundles TS1 and TS2:

(28) $\begin{array}{cc}{M}_V^{\left(-1\right)}{M}_{L2}^{\left(+1\right)}{M}_R^{\left(0\right)}{M}_{L1}^{\left(+1\right)}{M}_A^{\left(-1\right)}\left(\begin{array}{c}1\\ 0\end{array}\right)=\frac{1}{\sqrt{2}}\left(\begin{array}{c}1\\ -i\end{array}\right)M_V^{\left(+1\right)}{M}_{L2}^{\left(-1\right)}{M}_R^{\left(0\right)}{M}_{L1}^{\left(-1\right)}{M}_A^{\left(+1\right)}\left(\begin{array}{c}1\\ 0\end{array}\right)=\frac{1}{\sqrt{2}}\left(\begin{array}{c}1\\ +i\end{array}\right)& \left(\mathrm{Eq}.1\right)\end{array}$

(29) For reasons of symmetry, the two interfering partial beam bundles TS1, TS2 are circularly polarized. In a similar manner, the various gratings 21, 22, 31.1, 31.2 may also be arranged such that orthogonally circularly polarized partial beam bundles TS1 and TS2 with respect to each other are generated for an incoming p-polarized electrical field having the Jones vector

(30) $\left(\begin{array}{c}0\\ 1\end{array}\right).$
As an alternative, gratings 21, 22, 31.1, 31.2 may also be optimized, so that partial beam bundles TS1, TS2 are polarized in a linearly orthogonal manner with respect to each other. Instead of Equation 1, the following Equation 2 then applies to an incoming s-polarized field:

(31) $\begin{array}{cc}{\left(\begin{array}{c}{E}_x\\ E_y\end{array}\right)}_{\mathrm{TS}1}=M_V^{\left(-1\right)}{M}_{L2}^{\left(+1\right)}{M}_R^{\left(0\right)}{M}_{L1}^{\left(+1\right)}{M}_A^{\left(-1\right)}\left(\begin{array}{c}1\\ 0\end{array}\right)=\frac{1}{\sqrt{2}}\left(\begin{array}{c}1\\ -1\end{array}\right){\left(\begin{array}{c}{E}_x\\ E_y\end{array}\right)}_{\mathrm{TS}2}=M_V^{\left(+1\right)}{M}_{L2}^{\left(-1\right)}{M}_R^{\left(0\right)}{M}_{L1}^{\left(-1\right)}{M}_A^{\left(+1\right)}\left(\begin{array}{c}1\\ 0\end{array}\right)=\frac{1}{\sqrt{2}}\left(\begin{array}{c}1\\ +1\end{array}\right)& \left(\mathrm{Eq}.2\right)\end{array}$

(32) In this case, exiting partial beam bundles TS1 and TS2 are linearly polarized at +45° or −45° and thus, once again, have a mirror-symmetrical and orthogonal polarization with respect to each other.

(33) The above Equations 1 and 2 may be generalized to arrive at Equation 3:

(34) $\begin{array}{cc}{\left(\begin{array}{c}{E}_x\\ E_y\end{array}\right)}_{\mathrm{TS}1}=M_V^{\left(-1\right)}{M}_{L2}^{\left(+1\right)}{M}_R^{\left(0\right)}{M}_{L1}^{\left(+1\right)}{M}_A^{\left(-1\right)}{\left(\begin{array}{c}{E}_x\\ E_y\end{array}\right)}_{in}=\frac{1}{\sqrt{2}}\left(\begin{array}{c}1\\ -e^{i\phi }\end{array}\right){\left(\begin{array}{c}{E}_x\\ E_y\end{array}\right)}_{\mathrm{TS}2}=M_V^{\left(+1\right)}{M}_{L2}^{\left(-1\right)}{M}_R^{\left(0\right)}{M}_{L1}^{\left(-1\right)}{M}_A^{\left(+1\right)}{\left(\begin{array}{c}{E}_x\\ E_y\end{array}\right)}_{in}=\frac{1}{\sqrt{2}}\left(\begin{array}{c}1\\ +e^{i\phi }\end{array}\right)& \left(\mathrm{Eq}.3\right)\end{array}$

(35) The incoming electrical field having Jones vector

(36) ${\left(\begin{array}{c}{E}_x\\ E_y\end{array}\right)}_{in}$
may either be s-polarized

(37) 0$\hspace{1em}\left(\begin{array}{c}1\\ 0\end{array}\right)$
or p-polarized

(38) $\left(\begin{array}{c}0\\ 1\end{array}\right).$
Angle φ is freely selectable. Regardless of angle φ, the two partial beam bundles TS1 and TS2 are always orthogonally polarized, e.g., the vector product of the two Jones vectors is zero (*=conjugate complex):

(39) $\begin{array}{cc}{\left(\begin{array}{c}{E}_x\\ E_y\end{array}\right)}_{\mathrm{TS}1}.Math.{\left(\begin{array}{c}{E}_x\\ E_y\end{array}\right)}_{\mathrm{TS}2}^{*}=0& \left(\mathrm{Eq}.4\right)\end{array}$

(40) Their polarization states are linearly polarized for φ=0 and φ=π and circularly polarized for φ=π/2 and φ=3π/2. For φ≠n.Math.π (n=0, 1, 2, 3), the polarization is elliptical.

(41) Because of these measures, a polarization-encoded signal beam bundle S is able to be generated by the optical position measuring device without having to place separate polarization-optical components between the measuring standards 20, 30 that are movable relative to each other. As desired, signal beam bundle S propagating in the direction of detection unit 40 thus includes two orthogonally polarized, superposed partial beam bundles TS1, TS2 and may be analyzed, e.g., in a conventional manner in order to generate the plurality of phase-displaced scanning signals. The two superposed partial beam bundles TS1 and TS2 are normally split up into multiple superposed partial beam bundles and converted with the aid of lambda half-wave or lambda quarter-wave plates into mutually superposed partial beam bundles that are orthogonally linearly polarized with respect to each other. They pass through polarizers and are converted into scanning signals by detectors. The phase relation of the scanning signals is adjustable by aligning the polarizers such that multiple mutually phase-displaced scanning signals are able to be generated.

(42) The modulation degree of the scanning signals is a function of the orthogonality of the polarization of the two partial beam bundles TS1 and TS2. Tolerances in the production of gratings 21, 22, 31.1, 31.2 prevent the two partial beam bundles TS1, TS2 from having an ideal orthogonal polarization. For an adequate degree of modulation of at least 33%, the vector product of the associated Jones vectors may be maximally ⅔ in a deviation from Equation 4:

(43) $\begin{array}{cc}{\left(\begin{array}{c}{E}_x\\ E_y\end{array}\right)}_{\mathrm{TS}1}.Math.{\left(\begin{array}{c}{E}_x\\ E_y\end{array}\right)}_{\mathrm{TS}2}^{*}<\frac{2}{3}& \left(\mathrm{Eq}.5\right)\end{array}$

(44) FIGS. 3a to 4c illustrate an example embodiment of the optical position measuring device. While FIGS. 3a and 3b schematically illustrate different cross-sectional views of the position measuring device, FIGS. 4a to 4c are plan views of different components of the position measuring device.

(45) The position measuring device includes two measuring standards 120, 130, which, analogously to FIGS. 2a and 2b, are situated so as to allow movement along measuring direction y. A scanning unit 150, which includes different optical components, is fixed in place in relation to movable measuring standards 120, 130. Optical fibers 156, 154.1 to 154.3 link scanning unit 150 to a light source and to multiple opto-electronic detector elements.

(46) Scanning unit 150 and measuring standards 120, 130, for example, are mechanically coupled to machine components, whose relative positions are ascertainable with the aid of the position measuring device. The displacement-dependent scanning signals generated by the position measuring device are processed further by a machine control for positioning the machine components.

(47) Illumination beam bundle B emitted by the light source is transmitted to scanning unit 150 via optical fiber 156. It first passes through an optically inactive region of second measuring standard 130 and then impinges upon a splitting grating 121, which is arranged as a reflection grating, on the side of first measuring standard 120. As illustrated in FIG. 4a, splitting grating 121 includes a system of reflecting and non-reflecting scale graduations, which are periodic in measuring direction y and in turn extend parallel to the x-direction with their longitudinal axis.

(48) At the reflectively designed splitting grating 121 of first measuring standard 120, illumination beam bundle B, which conically impinges thereon, is diffracted or split up into two first orders of diffraction or into two partial beam bundles TS1, TS2. The two partial beam bundles TS1, TS2 then pass through the scanning gap between first measuring standard 120 and second measuring standard 130 and subsequently impinge upon second measuring standard 130.

(49) Second measuring standard 130 includes a transparent plate 133 on whose first side facing first measuring standard 120 two transmission gratings 131.1, 131.2 extending in the y-direction are provided. On the opposite, second side of plate 133, there is a reflector 132 in the form of a reflective layer, whose reflecting side faces the direction of the first side of transparent plate 133. In the exemplary embodiment illustrated, this arrangement of second measuring standard 130 is used to provide a diffractive roof reflector for the two partial beam bundles TS1, TS2 impinging thereon, the roof reflector including two lenses and a reflector in each case. The lenses are formed by transmission gratings 131.1, 131.2, and reflector 132 is formed by the reflective layer.

(50) As illustrated in FIG. 3b, after passing through transmission grating 131.1 for the first time, the reflection at reflector 132, and the renewed passage through transmission grating 131.2, partial beam bundles TS1, TS2 are therefore reflected back in the direction of first measuring standard 120 at a perpendicular offset with respect to measuring direction y. On first measuring standard 120, partial beam bundles TS1, TS2 are superposed at a combination location on a combination grating 122, so that a signal beam bundle S then propagates back again in the direction of second measuring standard 130. There, signal beam bundle S passes through an optically inactive region of transparent plate 133 and, following a deflection via an outcoupling mirror 155, reaches a detection unit, which, for example, includes grating 151, a lens 152, and polarizers 153.1, 153.2, 153.3. In the exemplary embodiment, optical fibers 154.1, 154.2, 154.3 are arranged downstream from polarizers 153.1, 153.2, 153.3, which transmit the partial beam bundles, split via grating 151, to detector elements, which are located at a distance from scanning unit 150.

(51) In the exemplary embodiment illustrated, the polarization-rotating functionality of the previously discussed quarter-wave plates required in conventional systems is provided by the symmetry of gratings 121, 122, 131.1, 131.2 of first and second measuring standards 120, 130. The previously required additional polarizers for compensating possible faulty polarizations are also not required in the optical position measuring device described herein. Without additional components in the scanning gap, possibly occurring polarization errors are fixedly correlated with the different gratings in the scanning beam path and thus reproducible. They may lead to interpolation errors, which, if required, are correctable by suitable compensation methods, such as an online compensation.

(52) Via a simultaneous optimization of the layer and grating parameters of splitting grating 121, transmission gratings 131.1, 131.2, the reflector and combination grating 122, the polarization crosstalk component is able to be optimized such that a maximum modulation of the interfering partial beam bundles is achieved. The reciprocal action of each grating 121, 122, 131.1, 131.2 with the corresponding partial beam bundles is described via a Jones matrix M.sub.Z.sup.(n), which is a function of the individual layer and grating parameters and describes the over-coupling of the electric field into the possible polarization states s and p in correct phase relation.

(53) In addition to the exemplary embodiments described herein, there are of course additional possibilities within the framework hereof.

(54) For example, it is possible that instead of two measuring standards that are separately movable along the measuring direction, only one of the two measuring standards is arranged so as to allow movement, whereas the other is stationary, for example, and assigned to a scanning unit.

(55) It is also possible that one of the two measuring standards, or both, is/are additionally displaceable in a direction other than the measuring direction, in order to thereby construct a position measuring device as described in PCT International Published Patent Application No. WO 2008/138501 mentioned above.

(56) Moreover, instead of the exemplary embodiment illustrated in FIGS. 3a and 3b, it is possible that that the light source and/or the detector elements is/are not situated at a distance from the scanning unit and coupled via optical fibers, but are integrated into the scanning unit.

(57) In addition, it is possible that the splitting and combination gratings on the first measuring standard are arranged as a single grating and that it is not necessary to provide two separate grating tracks in this case.

(58) Moreover, it may be provided that instead of the diffractive roof reflector provided in the above exemplary embodiment, a diffractive retro-reflector is provided in the second measuring standard, etc.