The present invention relates to an optical device, particularly a lens, particularly a liquid lens, particularly a liquid lens having an adjustable focal power (the focal power is the reciprocal value of the focal length of the lens) and/or an adjustable surface form.
Generally, an optical device that comprise a refractive element (cf. e.g.
Therefore, it is an objective of the present invention to provide an optical element that is capable of generating a transmitted wavefront that is temperature-independent and thus does not undergo thermally induced changes.
This problem is solved by an optical device having the features of claim 1.
Preferred embodiments of this optical device are stated in the sub claims and are described below.
According to claim 1, an optical device is disclosed comprising:
For the purposes of designing the optical device, said temperature can be assumed to be constant though out the lens (e.g. due to a thermal equilibrium). However, when operating the optical device, the latter may also exhibit a temperature gradient, i.e. a temperature distribution.
According to an embodiment, said temperature range corresponds to temperatures from −40° C. to 85° C., particularly to temperatures from 0° C. to 65° C.
According to an embodiment of the present invention, for adapting the first refractive index, the first refractive element is formed out of a corresponding transparent first material, and wherein for adapting the second refractive index, the second refractive element is formed out of a corresponding transparent second material.
Further, according to an embodiment of the present invention, the first refractive index and the shape of the first surface depend on the temperature due to the thermal expansion of the optical device (e.g. induced by an increasing temperature). Here, particularly, the first and second material may be selected such that the temperature dependence of the second refractive index and the shapes of the second and third surfaces are negligible compared to the first refractive index and the first surface shape and can therefore be disregarded.
Further, according to an embodiment of the present invention, the second refractive index and the shapes of the second surface and of the third surface each depend on the temperature (e.g. to a similar degree as the first refractive index and the first surface).
Further, according to an embodiment of the present invention, the first and the second refraction index can also depend on the wavelength of the incoming light, i.e., the first material and the second material cause said refraction indices to also depend on the wavelength of the incoming light.
Furthermore, according to an embodiment of the present invention, the refractive indices and the shapes of the surfaces are selected such that a shape of a wavefront of the transmitted light is independent of the temperature and a chromatic aberration of the two refractive elements is reduced (e.g. relative to a refractive system with only one material) or prevented, when the temperature lies within the pre-defined temperature range.
According to a further embodiment of the present invention, the second surface comprises a curved shape.
Further, according to an embodiment of the present invention, the two refractive elements form a lens having a tunable focal length, wherein the first refractive element comprises a transparent liquid arranged between the first surface and the second surface, wherein the first surface is elastically deformable and comprises a shape having a tunable first radius depending on temperature (since the volume of the liquid changes with temperature), and wherein the second refractive element is rigid and forms the second surface which comprises a shape having a second radius, and wherein the third surface comprises one of a planar shape, a concave shape, a convex shape.
According to an embodiment, the shape of the first surface comprises a spherical and/or a cylindrical component. Further, the shape of the first surface can be one of: spherical, cylindrical.
Furthermore, according to an embodiment, the shape of the second surface can comprise a spherical and/or a cylindrical component.
Further, particularly the shape of the second surface can be one of: spherical, cylindrical, or may comprise a more complex geometry (e.g. may comprise components other than spherical or cylindrical components). For instance, the second surface can include a conical portion or conical component.
Further, according to an embodiment of the present invention, for a given first refractive index, a given temperature-dependent first radius, and a planar wavefront of the incoming light, the second refractive index, the second radius and the third surface shape (e.g. third radius) are selected such that the wavefront of the transmitted light is independent of the temperature when the temperature is within the pre-defined range.
Further, according to an embodiment of the present invention, the first refractive index exhibits a more pronounced temperature dependence than the second refractive index, i.e. the magnitude of the variations of the first refractive index with temperature are larger than those of the second refractive index.
Particularly, the first material comprises a general volumetric thermal expansion coefficient αv=(1/V)·(∂V/∂T)P that is larger than the general volumetric thermal expansion coefficient of the second material.
Further, according to an embodiment of the present invention, the first refractive index is lower than the second refractive index.
Further, according to an embodiment of the present invention, the liquid comprises a lower dispersion than the second refractive element.
Further, according to an embodiment of the present invention, the lens forms an achromat.
Furthermore, according to an embodiment of the present invention, the second surface comprises a flat annular boundary portion having an outer diameter, wherein the boundary portion surrounds a central concave portion having a diameter that is smaller than said outer diameter.
Particularly, the outer diameter corresponds to a diameter of at least one of: the first surface, the second surface, the third surface.
According to a further embodiment, the optical device comprises a lens shaper contacting a transparent and elastically deformable membrane of the optical device, wherein the first surface is formed by a central portion of a surface of the membrane, wherein said central portion of the surface of the membrane is defined by the lens shaper. For this, the lens shaper comprises a circumferential edge from which said central portion protrudes. In this way, the lens shaper delimits said central portion of the membrane. The curvature of this central portion and therewith the focal power of the lens can be adjusted by pushing against the membrane with the lens shaper or by pulling on the membrane. Due to the liquid the central portion can thus be given a convex shape, e.g. by pushing with the lens shaper against the membrane, or a concave shape, e.g. by pulling on the membrane with the lens shaper.
Furthermore, according to an embodiment, the actuator is configured to act on the membrane to tune the first radius (or curvature of said central portion of the membrane).
According to a further embodiment, the actuator is configured to move a mover of the actuator along an optical axis of the optical device, wherein the mover is connected via a connecting structure to the lens shaper to move the lens shaper along the optical axis to adjust the first radius of the first surface and therewith the focal power of the optical device.
Particularly, in an embodiment, the actuator comprises a stationary magnet and a mover, wherein the mover comprises an electrical coil for generating a magnetic field to interact with a magnetic field of the magnet so that the mover is moved along the optical axis.
In the following embodiments as well as features and advantages of the present invention are described with reference to the Figures, wherein
In other words, according to the present invention, a combination of n1(T), n2(T), S1(T), S2(T) and S3(T) can be found that makes the transmitted wavefront W′ temperature independent.
Here, n1(T, λ), n2(T, λ), S1(T), S2(T) and S3(T) are selected such that the transmitted wavefront W′ is rendered temperature independent, wherein furthermore a dependence of the transmitted wavefront W′ on the on wavelength is reduced or vanishes (e.g. the device 1 forms an achromat)
Given the first refractive index n1(T) and the first surface S1(T), a second refractive index n2, and a second and a third surface S2 and S3 can be selected to make the transmitted wavefront W′ temperature independent.
Furthermore,
The liquid 12 is further delimited by the opposing second surface S2, which is a surface of the rigid second refractive element 11, wherein this second surface S2 comprises a fixed radius R2 so that the liquid 12 forms a bi-convex volume in
Given the first refractive index n1(T) and the first radius R1(T) as functions of temperature T, the second refractive index n2 and the second radius R2 are selected according to the present invention such that the transmitted wavefront W′ is still planar like the incident wavefront W and temperature independent.
Here, in this embodiment, the first refractive index n1(T) preferably comprises a strong temperature dependence and particularly a low dispersion (e.g. transparent optical liquid 12 such as a liquid polymer, particularly a silicone oil). Furthermore, the second refractive index n2 (compared to the first refractive index) preferably comprises a weak temperature dependence and particularly a high dispersion (e.g. a glass).
Particularly, the concept of the present invention is insensitive to the absolute magnitude of the refractive indices of the materials, and is sensitive only to the relative change of the refractive indices with temperature. Thus, according to a preferred embodiment, both the first and the second material can have the same refractive indices (e.g. at the nominal design temperature). Furthermore, according to a preferred embodiment a high refractive index is selected for the liquid so that the curvatures of the first surface S1(T) can be reduced.
Particularly, a thermal expansion of the liquid 12 causes a change in the first radius R1, wherein here e.g. dR1/dT<0.
Furthermore, the first refractive index ni of the liquid 12 is also temperature dependent, wherein here e.g. dn1/dT<0.
R2 and R1 can now be chosen such that the lens 1 is fully temperature compensated for a selected focal power (dFP/dT|FP=0=0) compared to a conventional lens shown in
Furthermore, as indicated in
To demonstrate specific examples of the present invention,
Using the formula for thick lenses in air (n=1), the focal powers for the respective refractive elements 10, 11 can be calculated according to
wherein d1 and d2 are the thicknesses of the elements 10, 11 in the direction of the optical axis A of the lens 1 at the location of the optical axis A (i.e. center of the respective element 10, 11).
The total focal power thus amounts to
FP
Total
=FP
lens1
+FP
lens2
And a drift of the total focal power due to a temperature drift from T0 to T1 amounts to
LFP=FP
Total(T1)−FPTotal(T0)
Using the this formula, the radii R1, R2, R3 and the indices n1, n2 can be chosen such (at temperature To) that at a given total focal power, the drift of the total focal power due to a changing temperature (e.g. from T0 to T1) is zero, which is shown in the specific example depicted in
According to
Furthermore, according to the embodiment shown in
Particularly, in the example depicted in
Furthermore, according to
According to
Furthermore,
Here, the first refractive element 10 is formed by a container 2 filled with a transparent liquid 12 (first material) wherein the container 2 comprises a circumferential lateral wall 2a as well as a bottom 2b formed by a second rigid refractive element 11 that forms a convex third surface S3 and an opposing second surface S2 forming said bottom 2c of the container 2. Particularly, said second surface S2 comprises a central concave portion 13b surrounded by an annular flat portion 13a, wherein a diameter D2 of said concave portion 13b is smaller than a diameter D1 of the third surface S3. The container 2 is closes by a transparent and elastically deformable membrane 25 which opposes the bottom 2c of the container 2.
The second refractive element 11 is formed out of a transparent second solid material such as a glass or plastic material (e.g. polymer).
Particularly, the lens 1 comprises a passive temperature compensation according to the present invention, e.g., given the tuneable first radius R1(T), the refractive indices n1, n2 and the shapes of the remaining second and third surfaces are selected such that for a given focal power the focal power becomes independent of the temperature as shown e.g. in
In order to adjust the focal power of the lens 1, the latter comprises an actuator 20 that is configured to move a lens shaper 24 that contacts said membrane 25, wherein the first surface S1 of the lens having the first radius R1 is formed by a central portion of a surface 25a of the membrane 25, wherein said portion of the surface 25a of the membrane 25 is defined by the lens shaper 24, i.e. extends up to a circumferential inner edge 24a of the lens shaper 24.
Particularly, according to an embodiment, the actuator 20 can be configured to move a mover 22 of the actuator 20 along an optical axis A of the optical device 1, wherein the mover 22 is connected via a connecting structure 23 to the lens shaper 24 to move the lens shaper 24 along the optical axis A (i.e. in direction B or opposite direction B′) to adjust the first radius R1 of the first surface S1 and therewith the focal power of the optical device 1. This is due to the fact, that the container 2 is filled with the liquid 12, which causes the first surface S1 to bulge outwards when the lens shaper 24 is moved in direction B which in turn increases the focal power (since R1 decreases). In case the lens shaper 24 is moved in the opposite direction B′. the focal power decreases correspondingly.
Particularly, the mover 22 can comprise a an electrical coil 21, wherein the actuator 20 can further comprise a magnet 23. The coil 21 is configured to generating a magnetic field when an electrical current is passed through the coil 21 to interact with a magnetic field of the magnet 23 so as to move the mover 22 along the optical axis A (i.e. in direction B or B′ depending on the direction of the electrical current flowing through the coil 21).
Number | Date | Country | Kind |
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19150839.9 | Jan 2019 | EP | regional |
Filing Document | Filing Date | Country | Kind |
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PCT/EP2020/050338 | 1/8/2020 | WO | 00 |