MULTI-IMMERSION MICROSCOPE OBJECTIVE WITH MINIMALLY REFRACTIVE SURFACES
20230139165 · 2023-05-04
Assignee
Inventors
Cpc classification
G02B21/33
PHYSICS
G02B17/00
PHYSICS
International classification
Abstract
The present invention relates to an immersion microscope objective (10) for inspecting a sample (S) in an immersion medium (M), comprising: at least one concave minor (3), at least one optical element (1) comprising an aspherical surface (2) facing the at least one concave minor (3), and an internal space (4) arranged between the at least one concave minor (3) and said aspherical surface (2), said internal space (4) being configured to be filled with an immersion medium (M) such that the immersion medium (M) contacts the at least one concave minor (3) and the aspherical surface (2). According to the present invention, the aspherical interface (2) is shaped such that the working distance (7) of the immersion microscope objective (10) varies by less than 1% when the refractive index n of said immersion medium (M) is increased or decreased by at least 0.025.
Claims
1. An immersion microscope objective (10) for inspecting a sample (S) in an immersion medium (M), comprising: at least one concave mirror (3), at least one optical element (1) comprising an aspherical surface (2) facing the at least one concave mirror (3), an internal space (4) arranged between the at least one concave mirror (3) and said aspherical surface (2), said internal space (4) being configured to be filled with an immersion medium (M) such that the immersion medium (M) contacts the at least one concave mirror (3) and the aspherical surface (2), wherein the immersion microscope objective (10) comprises a working distance (7) being the distance between the focus (F) of the immersion microscope objective (10) and the vertex (3a) of the concave mirror (3), wherein the aspherical surface (2) is non-planar and is shaped such that the working distance (7) of the immersion microscope objective (10) varies by less than 1% when instead of a first immersion medium (M) being arranged in said internal space (4) a second immersion medium (M) resides in the internal space (4) that comprises a refractive index n that is increased or decreased with respect to the refractive index n of the first immersion medium (M) by at least 0.025.
2. The immersion microscope objective according to claim 1, wherein the refractive index n of the first immersion medium is in the range from 1.0 to 1.6, particularly 1.3 to 1.6, and/or wherein the refractive index n of the second immersion medium is in the range from 1.0 to 1.6, particularly 1.3 to 1.6.
3. The immersion microscope objective according to claim 1, wherein the numerical aperture NA of the immersion microscope objective (10) is in the range from 0.3 to 1.0 when the immersion medium (M) present in the internal space (4) is air.
4. The immersion microscope objective according to claim 1, wherein the immersion medium (M) is one of: a fluid, a gas, a liquid, a gel, a hydrogel.
5. The immersion microscope objective according to claim 1, wherein the at least one mirror (3) and the at least one optical element (1) are rotationally symmetric with respect to an optical axis (A).
6. The immersion microscope objective according to claim 1, wherein the at least one mirror (3) comprises a spherical shape.
7. The immersion microscope objective according to claim 1, wherein the at least one mirror (3) is one mirror of a plurality of mirrors comprised by the immersion microscope objective (10), wherein each mirror of said plurality of mirrors is configured to contact the immersion medium (M) when the immersion medium (M) resides in said internal space (4).
8. The immersion microscope objective according to claim 1, wherein the immersion microscope objective (10) comprises a further aspherical surface (5) shaped to compensate a spherical aberration created by the at least one mirror (3).
9. The immersion microscope objective according to claim 8, wherein the further aspherical surface (5) is formed by said at least one optical element (1) and faces away from said aspherical surface (2) that faces the at least one mirror (3).
10. The immersion microscope objective according to claim 8, wherein the further aspherical surface is formed by a further optical element of the immersion microscope objective (10).
11. The immersion microscope objective according to claim 9, wherein the immersion microscope objective (10) comprises a lens group comprising a plurality of lenses, wherein the first optical element (1) forms a lens of said lens group, and/or wherein the further optical element forms a lens of said lens group.
12. The immersion microscope objective according to claim 1, wherein the immersion microscope objective (10) comprises a sample holder (6) configured to hold a sample (S) such that the sample (S) is located in said internal space (4) between the at least one mirror (3) and said aspherical surface (2) facing the at least one mirror (3).
13. A microscope (100) comprising an immersion microscope objective (10) according to claim 1.
14. The microscope according to claim 13, wherein the microscope (100) is one of: a wide-field microscope, particularly comprising a single- or a multi-element tube lens, a light-sheet microscope, particularly comprising a single- or a multi-element tube lens, a two-photon fluorescence microscope, a three-photon fluorescence microscope, a four-photon fluorescence microscopy, a second-harmonic generation microscope, a third-harmonic generation microscope, a fluorescence confocal microscope, a reflectance confocal microscope, a polarization microscope, a Coherent Anti-Stokes Raman Scattering (CARS) microscope, a stimulated Raman Scattering (SRS) microscope.
15. The immersion microscope objective according to claim 8, wherein the aspherical surface (2) is defined by a polynomial equation α(y)=α.sub.iy.sup.i describing the aspherical surface (2), and wherein the further aspherical surface (5) is defined by a polynomial equation b(y)=α.sub.iy.sup.i describing the further aspherical surface (5), and wherein said polynomial equations α(y) and b(y) obey the relation α(y)=((n−1)/n).Math.b(y) with n being the refractive index of the optical element (1) at an operating wavelength of the immersion microscope objective.
16. The immersion microscope objective according to claim 10, wherein the immersion microscope objective (10) comprises a lens group comprising a plurality of lenses, wherein the first optical element (1) forms a lens of said lens group, and/or wherein the further optical element forms a lens of said lens group.
17. The immersion microscope objective according to claim 9, wherein the aspherical surface (2) is defined by a polynomial equation α(y)=α.sub.iy.sup.i describing the aspherical surface (2), and wherein the further aspherical surface (5) is defined by a polynomial equation b(y)=α.sub.iy.sup.i describing the further aspherical surface (5), and wherein said polynomial equations α(y) and b(y) obey the relation α(y)=((n−1)/n).Math.b(y) with n being the refractive index of the optical element (1) at an operating wavelength of the immersion microscope objective.
Description
[0049] In the following, embodiments of the present invention as well as further features and advantages are described with reference to the Figures, wherein
[0050]
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[0055]
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[0060]
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[0063]
[0064] The present invention relates to an immersion microscope objective 10 that can be used with a variety of different immersion media M. Particularly, as shown in
[0065] The preferably high-order aspherical surface 2 can be formed by a transparent correction plate 1. In addition, such a correction plate 1 can have a further aspherical surface 5 adapted to counteract the spherical aberration of the at least one mirror 3 to deliver excellent image quality.
[0066] As described above, if a prescription in the form of a polynomial z.sub.5(y) for the further aspherical surface 5 has been found for the paraxial case (e.g. by numerical optimization in an optical design program), the shape z.sub.2 (y) of the high-order aspherical surface 2 is preferably chosen according to:
[0067] if n is the refractive index of the material of the correction plate 1. Thus, the shape of the high-order aspherical surface 2 is a scaled version of the shape of the further aspherical surface 5. On its own, the aspherical surface 2 facing the at least one concave mirror would not be sufficient to correct for the spherical aberration of the at least one concave mirror and thus does not represent the shape of a classical Schmidt corrector according to [15] & [16].
[0068] If the medium M between the correction plate 1 and the mirror 3 is replaced with a solid with index n, the numerical aperture (NA=n sin α) is increased by a factor of n which in turn improves the resolving power of the microscope. In addition, the image brightness scales as n.sup.2. If the space between the correction plate 1 and the mirror 3 is not filled with a solid material, but a liquid immersion medium M, the system acts as an immersion objective 10.
[0069] Advantageously, in such a design, the mirror 3 does not introduce varying aberrations (especially chromatic aberrations) when the immersion medium M (e.g. fluid) is exchanged to one with different refractive index and dispersion. The reason is that the law of reflection at an interface (θ.sub.1=θ.sub.2) does not contain any dependence on the wavelength-dependent refractive index of the medium (λ) as in Snell's law for refraction at an interface between two media n.sub.1 sin θ.sub.1=n.sub.2 sin θ.sub.2. This design concept can be used to turn any mirror-based telescope or microscope design (such as a Schwarzschild two-mirror objective) into an immersion objective 10. As, however, part of the excitation optics (if used in combination with laser scanning) or the detection path (if used in combination with an eyepiece or a camera) is usually placed in air, there has to be a window separating the immersed section of the microscope and the other sections of the optical path. When rays starting at or directed to off-axis locations of the rotationally symmetric optical system hit this surface, lateral chromatic aberration is generated which is the dominant chromatic aberration in such immersed mirror systems.
[0070] In general, the aspherical correction plate 1 deforms the parallel wavefront outside of the objective in a way to counteract the spherical aberration of the primary mirror. As stated above, the reflection of a wavefront off a mirror is independent of the medium the wavefront is propagating in. This means that for any possible immersion medium M inside the objective 10, a single shape of the aspherical correction plate 1 is sufficient to correct the spherical aberration of the mirror 3 as long as no additional refraction (equivalent to additional wavefront distortions) happens when the wavefront crosses the interface (e.g. aspherical surface 2) between the correction plate 1 (preferably made of a transparent solid material such as a glass or a plastic) and the (e.g. liquid) immersion medium M. This can be achieved if the surface 2 separating the correction element 1 and the liquid medium M is shaped similarly as the passing wavefront. In this case, there is no additional refraction of rays (as locally, the wavefront crosses the interface with a surface normal perpendicular to the wavefront) and no additional aberrations are generated—the surface is minimally refractive. If wavefronts are originating from or directed at off-axis locations, there will be slight deviation from local normal incidence and thus, additional off-axis aberrations can be generated. However, for sufficiently small angle differences (<11.4° or 0.2 radians), the resulting aberrations are small. Therefore, we define a surface as minimally refractive if the absolute difference of the angle of incidence θ.sub.1 and the angle of refraction θ.sub.2 at the intersection point between any ray contributing to image formation and the surface (and thus subject to Snell's law according to n.sub.1 sin θ.sub.1=n.sub.2 sin θ.sub.2) is less than 0.2 radians:
|θ.sub.1−θ.sub.2|<0.2 radians
[0071] Minimally refractive surfaces (here e.g. the aspherical surface 2) can thus be used to transfer wavefronts (cf. wavefronts W, W′ in
[0072] As already introduced above,
[0073] As shown in
[0074] As a demonstration of this design principle according to the invention, the invention is applied to the design of multiphoton microscope objective. While in a confocal laser-scanning fluorescence microscope, sufficient correction of lateral and chromatic aberration over a wavelength band covering the necessary excitation and emission regions of the spectrum is beneficial to achieve a sufficiently large field of view (FOV), in a multiphoton microscope such as a two-photon microscope, the requirements for color correction are reduced. For example, in a two-photon microscope operating at an excitation wavelength of 850 nm and utilizing 100 fs laser pulses, the full-width-at-half-maximum (FWHM) width of the excitation spectrum is <10 nm. As a two-photon microscope can be operated in combination with descanned detection by collecting the bulk scattered and unscattered emission light with a photodetector, color correction is not necessary for the emitted fluorescence light. This means that correction of the lateral chromatic aberration over the visible and near-infrared domain of the spectrum is not required unless multiple excitation wavelengths should be employed at the same time. In addition, image curvature is of no concern in an extended (or even cleared sample), as the collected three-dimensional imaging data can be computationally morphed back into a Cartesian coordinate system.
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[0077] According to yet another embodiment of the microscope 100 according to the present invention,
[0078] Furthermore,
[0079] Particularly, an optical system in the framework of the present invention can be considered to be diffraction-limited if the Strehl ratio (the ratio of the peak intensity of the point spread function of the optical system to the maximum intensity using an ideal point spread function) is larger than 0.8. This is equivalent to a root-mean-square (RMS) wavefront error lower than approximately 1/14 λ=0.0714λ.
[0080] Furthermore, according to a preferred embodiment of the present invention, the aspheric surface that faces the concave mirror and contacts the immersion medium of the objective and/or delimits the internal space of the objective that particularly contains the sample is a rotationally symmetric polynomial aspherical surface described by a polynomial expansion of the deviation z from a spherical surface with radius r in terms of the radial coordinate y:
z(y)=α.sub.1y.sup.2+α.sub.2y.sup.4+α.sub.3y.sup.6+α.sub.4y.sup.8+α.sub.5y.sup.10
[0081] To demonstrate the utility of optical design with minimally refractive surfaces, two further embodiments of the immersion microscope objective will be described below in more detail with reference to
[0082] Particularly,
[0083] In a material with n.sub.d=1 such as air, this embodiment has a numerical aperture (NA) of 0.52, in a material with n.sub.d=1.333 (such as water), the design has an NA of 0.69. In a higher index medium, for example with n.sub.d=1,5579, the system has an NA of 0.80.
[0084] It can operate as a two-photon microscope objective with excitation wavelengths ranging from 800 to 1000 nm and offers sufficient color correction to operate with 20 nm wide wavelength bands. The immersion medium fills the space between surface 2 and the mirror 3. The location of the image is stable in combination with different immersion media ranging from air, fluid, and solid media with variable n.sub.d and V.sub.d.
[0085] Exemplary parameters that are used in the embodiment according to
TABLE-US-00001 Surface Surface according Radius Thickness no. to FIG. 9 (mm) (mm) n.sub.d V.sub.d 1 5 468.366 5 1.4584 67.82 2 2 1600.594 35.058 Variable Variable 3 3 −40 −19.476 Mirror Mirror Image Image −19.761
TABLE-US-00002 Surface Surface according no. to FIG. 9 a1 a2 a3 a4 a5 1 5 9.744E−04 −1.124E−05 −1.083E−08 −5.473E−12 −3.876E−14 2 2 3.279E−04 −3.486E−06 −4.951E−09 1.350E−11 −4.465E−14 3 3 Image Image
[0086] A further embodiment of the immersion microscope objective according to the present invention is shown in
[0087] In a material with n.sub.d=1 such as air, this embodiment has a NA of 0.85, in a material with n.sub.d=1.333 (such as water), the design has an NA of 1.14. In a higher index medium, for example with n.sub.d=1.5579, the system has an NA of 1.33.
[0088] It can operate as a two-photon microscope objective with excitation wavelengths ranging from 780 to 940 nm and offers sufficient color correction to operate with 20 nm wide wavelength bands. The immersion medium fills the space between surface 2 and the mirror 3. The location of the image is stable in combination with different immersion media ranging from air, fluid, and solid media with variable n.sub.d and V.sub.d.
[0089] Exemplary parameters that are used in the embodiment according to
TABLE-US-00003 Surface Surface according Radius Thickness no. to FIG. 11 (mm) (mm) n.sub.d V.sub.d 1 5 85.512 5 1.4584 67.82 2 2 517.546 17.293 Variable Variable 3 3 −22 −10.366 Mirror Mirror Image Image −10.834
TABLE-US-00004 Surface Surface according no. to FIG. 11 a1 a2 a3 a4 a5 1 5 2.03824E−03 −5.44201E−05 −3.59160E−07 2.18769E−09 −1.91200E−11 2 2 1.59327E−03 −2.19531E−05 −8.94622E−09 −5.08478E−10 1.27801E−12 3 3 Image Image
[0090] A further embodiment of the immersion microscope objective according to the present invention is shown in
[0091] In a material with n.sub.d=1 such as air, this embodiment has a NA of 0.53, in a material with n.sub.d=1.333 (such as water), the design has an NA of 0.71. In a higher index medium, for example with n.sub.d=1.5579, the system has an NA of 0.82.
[0092] It can operate as a two-photon microscope objective with excitation wavelengths ranging from 780 to 940 nm and offers sufficient color correction to operate with 20 nm wide wavelength bands. The immersion medium fills the space between surface 2 and the mirror 3. The location of the image is stable in combination with different immersion media ranging from air, fluid, and solid media with variable n.sub.d and V.sub.d.
[0093] Compared to the previous embodiments, this embodiment specifies surfaces 5 and 2 to be flat (infinite radius). As a result, the condition that the ratio of the polynomials describing surfaces 5 and 2 should be (n−1)/n can be tested explicitly. Here, n is the index of refraction of the correction plate 1 at the center wavelength of the excitation spectrum. In the previous embodiments, such a comparison is only possible if the stated nonzero surface radii are included in the surface polynomial for surfaces 5 and 2.
[0094] Exemplary parameters that are used in the embodiment according to
TABLE-US-00005 Surface Surface according Radius Thickness no. to FIG. 13 (mm) (mm) n.sub.d V.sub.d 1 5 Infinity 1 1.4584 67.82 2 2 Infinity 39.068 Variable Variable 3 3 −40 −19.408 Mirror Mirror Image Image −20.667
TABLE-US-00006 Surface Surface according no. to FIG. 13 a1 a2 a3 1 5 2.29856E−03 −1.08328E−05 −1.34800E−08 2 2 7.17691E−04 −3.40284E−06 −4.08693E−09 3 3 Image Image
[0095] Assuming an index of n.sub.d=1.4525 for the correction plate 1 in this embodiment, the ratio between the aspherical coefficients of surface 5 and 2 should be (n−1)/n=0.312 in the paraxial case. The table below shows that this condition is fulfilled in this embodiment:
TABLE-US-00007 Ideal Surface ratio a1 a2 a3 Ratio of 0.312 0.312 0.314 0.303 Surface 2 vs. Surface 5
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