Patent Application
20110090565
Various embodiments of the present invention relate to an objective lens.
For an objective lens of a microscope, a high numerical aperture has always been demanded in order to improve resolution and brightness during fluorescent viewing, and good correction of chromatic aberration is also required. However as numerical aperture increases, the depth of focus decreases and correction of chromatic aberration (including chromatic aberration due to spherical aberration) becomes difficult, and in order to solve this problem, many anomalous dispersion glasses must be used, which are expensive and difficult to process. Also picture elements, such as CCD and peripheral technology thereof, are advancing lately, and the purpose of a microscope is becoming more like an image input device rather than a conventional microscope for viewing samples using an eye piece. In this case, an obtained image is preferably flat and uniform throughout the entire field of view. In this situation, today various objective lenses using diffractive optical elements are being proposed in order to correct chromatic aberration in an advanced way (e.g. see Patent Document 1).
A problem of this objective lens, however, is that various aberrations throughout the entire field of view cannot be sufficiently corrected to be used for a microscope.
Various embodiments of the present invention provide an objective lens in which many anomalous dispersion glasses are not used, numerical aperture is high, and various aberrations, particularly chromatic aberrations, are sufficiently corrected throughout the entire field of view.
An objective lens according to various embodiments of the present invention comprises, for example, in order from an object, a first lens group having positive refractive power as a whole, and a second lens group having negative refractive power as a whole. The first lens group includes: a positive lens group which is disposed closest to the object and of which lens surface facing the object is a plane or a concave surface; a diffractive optical element in which two diffractive element constituents made from optical materials are cemented, and which has a diffractive optical surface formed with diffraction grating grooves on the cemented surface; and at least one cemented lens, and the second lens group includes a concave surface facing an image and a concave surface facing the object, which face each other. The diffractive optical element is disposed closer to the object than a position where a principal ray crosses the optical axis. According to an embodiment, the objective lens satisfies the following conditional expression:
|θmax|≦10°
where θmax denotes a maximum incident angle of a ray that enters the diffractive optical element, and satisfies the following conditional expression:
|fdoe/fa|≧100
where fa denotes a focal length of the objective lens, and fdoe denotes a focal length of the diffractive optical element.
In an embodiment of the objective lens, the following conditional expression is satisfied:
3≦|f2/fa|≦30
where fa denotes a focal length of the objective lens, and f2 denotes a focal length of the second lens group, the power Φ of a lens surface is defined by
Φ=(n′-n)/r
where r denotes a radius of curvature of the lens surface, and n and n′ are refractive indexes at the d-line of media before and after the lens surface, and the following conditional expression is satisfied:
0.7≦|Φ2-1/Φ2-2|≦1.4
where Φ2-1 denotes a power of the concave surface facing the image, and Φ2-2 denotes a power of the concave surface facing the object in the second lens group.
In an embodiment of the objective lens, the following conditional expression is satisfied:
2≦N/H≦10
where N denotes a number of diffraction grating grooves on the diffractive optical surface in the diffractive optical element, and H denotes an effective radius of the diffractive optical surface in the diffractive optical element.
In an embodiment of the objective lens, the following conditional expression is satisfied:
vdmax≦85
where v dmax denotes a maximum value of Abbe numbers of positive lenses included in the objective lens.
In an embodiment of the objective lens, the following conditional expressions are satisfied:
nd1≦1.54
0.0145≦nF1-nC1
1.55≦nd2
nF2-nC2≦0.013
where nd1 denotes a refractive index at the d-line (λ=587.562 nm), nF1 denotes a refractive index at the F-line (λ=486.133 nm), and nC1 denotes a refractive index at the C-line (λ=656.273 nm) of a material of the diffractive element constituent of which refractive index is lower and Abbe number is smaller, out of the two diffractive element constituents of the diffractive optical element, and nd2 denotes a refractive index at the d-line, nF2 denotes a refractive index at the F-line, and nC2 denotes a refractive index at the C-line of a material of the diffractive element constituents of which refractive index is higher and Abbe number is greater, out of the two diffractive element constituents of the diffractive optical element.
In an embodiment of the objective lens, the first lens group has at least one positive single lens.
With an objective lens according to various embodiments of the present invention, an objective lens can be provided in which numerical aperture is high, and various aberrations, particularly chromatic aberrations, can be sufficiently corrected throughout the entire field of view.
The above description relates to various features in various embodiments of an objective lens. However, all embodiments are not intended to being limited to including all these features. Accordingly, it is to be understood that both the foregoing general description and the following detailed description are exemplary and explanatory and are not restrictive of the invention, as claimed.
OL (OL1 to 7) objective lens
G1 first lens group
L1 plan-convex lens (positive lens)
L3 positive meniscus lens (positive single lens)
CL12, CL13, CL14, CL15 cemented lens
G2 second lens group
GD diffractive optic element
D diffractive optical surface
Embodiments of the present invention will now be described with reference to the drawings. First a configuration of an Objective lens according to an embodiment of the present invention will be described using
In this objective lens OL, the first lens group G1 is a lens group for converging divergent lights emitted from the object, and has a positive lens component having a sharp convex surface facing the image (e.g. cemented lens CL11 in which a plano-convex lens L1 and positive meniscus lens L2 are cemented, in the case of
In the objective lens OL of the present embodiment, the diffractive optical element GD is disposed for correcting chromatic aberration. The diffractive optical element GD has a diffractive optical surface D in which grating structures formed of several lines to several hundred lines of fine grooves or slits per 1 mm are formed concentrically, and has properties such that the light which entered into this diffractive optical surface D is diffracted to a direction determined by the grating pitch (space of diffraction grating grooves) and the wavelength of the incident light. The diffractive optical element GD (diffractive optical surface D) has a negative dispersion value (Abbe number=−3.453, in the case of the present embodiment), that is, dispersion is major and anomalous dispersion (partial dispersion ratio (ng−nF)/(nF−nC)=0.2956 in the case of the present embodiment) is strong, therefore the diffractive optical element GD has strong chromatic aberration correction capability. The Abbe number of the optical glass is normally about 30 to 80, but the Abbe number of the diffractive optical element has a negative value. In other words, unlike normal glass (refractive optical element), the diffractive optical surface D of the diffractive optical element GD has a dispersion characteristic in which the refractive index decreases as the wavelength of the light is shorter, and the light is refracted more as the wavelength of the light is longer. Hence a good achromatic effect can be implemented if this diffractive optical element GD is combined with a normal refractive optical element. As a result, chromatic aberration can be corrected well by using the diffractive optical element GD.
In order to simultaneously correct the longitudinal chromatic aberration and lateral chromatic aberration by the diffractive optical element GD, the diffractive optical surface D must be disposed closer to the object than the position where the principal ray crosses the optical axis, due to the arrangement of refractive power. This is because the longitudinal chromatic aberration and lateral chromatic aberration can be corrected in a balanced way by the diffractive optical element GD in the front side (object side) of the position where the principal ray crosses the optical axis, and the remaining lateral chromatic aberration can be corrected behind the position where the principal ray crosses the optical axis, using a cemented lens or the like. To prevent a decrease in the minimum pitch of the diffraction grating grooves of the diffractive optical element GD, primary achromatism must be performed to a certain extent using a refractive lens of the first lens group G1. For this purpose, at least one cemented lens (e.g. cemented lens CL12 in the case of
The diffractive optical element GD according to the present embodiment, in which the diffractive optical surface D is constructed by cementing two diffractive element constituents made from different optical materials (e.g. optical members L9 and L10 in the case of
Compared with a separated multi-layer type diffracted optical element, in which two diffractive element constituents having the diffraction grating grooves are closely disposed so that the diffraction grating grooves face each other, the contact multi-layer type diffractive optical element can be manufactured by simple manufacturing steps. Therefore mass production efficiency is high and diffraction efficiency with respect to the incident angle of view is good. Hence in the case of the objective lens OL according to the present embodiment, which uses the contact multi-layer type diffractive optical element, manufacturing is easy and diffraction efficiency improves.
The second lens group G2 is a lens group for making the lights which are converged by the first lens group G1 to be parallel beams. The second lens group G2 has a so called “Gaussian type configuration” in order to correct the Petzval sum, and has a negative lens having a concave surface with high curvature (bi-concave lens L16 in
The conditions for constructing the objective lens OL according to the present embodiment will now be described. If an angle of the luminous flux entering the diffractive optical element GD is large, diffraction efficiency drops and efficiency of diffracted lights of orders other than the designed order increases and flares are generated. Therefore in this objective lens OL, the diffractive optical element GD must be disposed in a position that satisfies the following conditional expression (1).
|θmax|≦10° (1)
where θmax denotes a maximum incident angle of a ray that enters the diffractive optical element GD.
The conditional expression (1) specifies a maximum incident angle of a ray that enters the diffractive optical element GD. By satisfying this conditional expression (1), diffraction efficiency improves, an increase of efficiency of diffracted lights of orders other than the design order is suppressed, and flares can be well prevented.
The objective lens OL, according to the present embodiment, satisfies the following conditional expression (2), where fa denotes a focal length of the entire objective lens OL, and fdoe denotes a focal length of the diffractive optical element GD.
|fdoe/fa|≧100 (2)
The conditional expression (2) is a conditional expression for limiting the power of the diffractive optical surface D of the diffractive optical element GD. If the lower limit of the conditional expression (2) is not reached, the power of the diffractive optical surface D of the diffractive optical element GD becomes too high, and a major chromatic aberration is generated. If this chromatic aberration generated on the diffractive optical surface D is corrected in other refractive systems, the power of the refractive system increases, and spherical aberration and coma Aberration are generated, which cannot be corrected. The pitch width of the peripheral diffraction grating grooves also decreases, and manufacturing becomes difficult.
In various embodiments, the objective lens OL satisfies the following conditional expression (3), where f2 denotes a focal length of the second lens group G2.
3≦|f2/fa|≦30 (3)
The conditional expression (3) is a conditional expression for limiting the power of the second lens group G2. If the upper limit of the conditional expression (3) is exceeded, the Petzval sum increases and flatness of the image is affected. If the lower limit of the conditional expression (3) is not reached, on the other hand, spherical aberration and coma aberration of a high order are generated. To further improve performance, in various embodiments the lower limit of the conditional expression (3) is 4, and the upper limit thereof is 20.
In various embodiments this objective lens OL satisfies the following conditional expression (4), where Φ2-1 denotes a power of the concave surface having high curvature facing the image of the second lens group G2, and Φ2-2 denotes a power of the concave surface having high curvature facing the object thereof. Here the power Φ of the lens surface is defined as follows, where r denotes a radius of curvature, and n and n′ denote refractive indexes at the d-line of media before and after this lens surface.
0.7≦|Φ2-1/Φ2-2|≦1.4 (4)
Where Φ=(n′-n)/r.
The conditional expression (4) is a conditional expression for limiting the balance of power of the concave surfaces facing each other disposed in the second lens group G2, if the upper limit or lower limit of the conditional expression (4) is not satisfied, the balance of powers of the concave surfaces having high curvature facing each other worsens, and coma aberration becomes aggrivated.
In various embodiments, the objective lens OL according to this example satisfies the following conditional expression (5), where N denotes a number of diffraction grating grooves of the diffractive optical surface D of the diffractive optical element GD, and H denotes an effective radius of the diffractive optical surface D.
2≦N/H≦10 (5)
The conditional expression (5) is a conditional expression for specifying appropriate ranges of a, number of diffraction grating grooves and effective radius of the diffractive optical surface D. If the upper limit of the conditional expression (5) is exceeded, correction of chromatic aberration becomes excessive. If the lower limit of the conditional expression (5) is not reached, on the other hand, correction becomes insufficient.
The objective lens OL, according to the present embodiment, satisfies the following conditional expression (6), where v dmax denotes a maximum value of the Abbe numbers of the positive lenses included in the objective lens OL.
vdmax≦85 (6)
The conditional expression (6) is a conditional expression for specifying an Abbe number of a positive lens included in the objective lens OL. The glass material having an Abbe number that exceeds the upper limit of the conditional expression (6) is a material having anomalous dispersion characteristics, such as fluorite, and if such a material is used for the positive lens in addition to using the diffractive optical element GD, then correction of chromatic aberration becomes excessive.
The objective lens OL, according to the present embodiment, satisfies the following conditional expressions (7) to (10), where nd1 denotes a refractive index at the d-line, nF1 denotes a refractive index at the F-line, and nC1 denotes a refractive index at the C-line, of the material of the diffractive element constituent of which refractive index is lower and Abbe number is smaller, out of the two diffractive element constituents of the diffractive optical element GD, and nd2 denotes a refractive index at the d-line, nF2 denotes a refractive index at the F-line and nC2 denotes a refractive index at the C-line of the material of the diffractive element constituent of which refractive index is higher and Abbe number is greater, out of the two diffractive element constituents of the diffractive optical element.
nd1≦1.54 (7)
0.0145≦nF1-nC1 (8)
1.55≦nd2 (9)
nF2-nC2≦0.013 (10)
The conditional expressions (7) to (10) specify the refractive indexes and dispersion with respect to the F-line and C-line (nF−nC) of the two diffractive element constituents of the diffractive optical element GD respectively. By satisfying these conditional expressions, two different diffractive element constituents can be cemented to form the diffractive optical surface D with better performance, and as a result, 90% or higher diffraction efficiency can be implemented in a wide wavelength range from the g-line to C-line. An example of resins used for such optical materials is disclosed in Japanese Patent Application No. 2004-367607 and Japanese Patent Application No. 2005-237573. If the upper limit or lower limit of each conditional expression (7) to (10) is not satisfied, the diffractive optical element GD of the achromatic lens system according to the present embodiment becomes difficult to implement a 90% or higher diffraction efficiency and to maintain the form of the contact multi-layer type diffractive optical element.
When ηm is a diffraction efficiency of the diffracted light of the m-th order, the diffraction efficiency ηm can be determined by the following expression. Here m denotes an order of diffraction, d denotes the height of the diffraction grating, n1 denotes a refractive index of one material constituting the diffraction grating surface (diffractive optical surface D), n2 denotes the refractive index of the other material constituting the diffraction grating surface (diffractive optical surface D), and λ denotes wavelength.
ηm={(sin(a-m)π)/(a-m)π}2
where a={(n1-1)d−(n2-1)d}/λ.
In the case of a combination of resins used for the following examples, a contact multi-layer type diffractive optical element having superb values can be implemented, that is, the grating height is 20.05 μm, and the first order diffraction efficiency is 98% or higher in a wide wavelength range, 98% at the g-line, 98% at the F-line, 100% at the d-line and 98% at the C-line.
Seven examples of the objective lens OL according to the present embodiment will be shown below, and in each example, the phase difference of the diffractive optical surface D formed on the diffractive optical element GD is calculated by the ultra high refractive index method, which uses a normal refractive index and a later mentioned aspherical expression (11). The ultra high refractive index method uses a predetermined equivalence relationship between the aspherical form and the grating pitch on the diffractive optical surface, and in the present examples, the diffractive optical surface D is shown by the data of the ultra high refractive index method, that is, by the later mentioned aspherical expression (11) and the coefficients thereof. In the examples, d-line, C-line, F-line and g-line are selected as the target of calculating aberration characteristics. Table 1 shows the wavelengths of the d-line, C-line, F-line and g-line used for the present examples, and the refractive index values set for each spectral line used for the calculation of the ultra high refractive index method.
In each example, an aspherical surface is given by the following expression (11), where y is a height in a direction perpendicular to the optical axis, S(y) is a distance (sag) from a tangential plane of a vertex of each aspherical surface at height y to each aspherical surface along the optical axis, r is a radius of curvature of the reference spherical surface (paraxial radius of curvature), κ is a conical coefficient, and An is an aspherical coefficient of the n-th order. In the following examples, “E-n” means “×10−n”. The paraxial radius of curvature R at this time is given by the following expression (12).
S(y)=(y2/r)/{1+(1−κ×y2/r2)1/2}+A2×y2+A4×y4+A6×y6+A8×y8 (11)
R=1/(1/r+2A2) (12)
In each example, “*” is attached to the right side of the surface number if the diffractive optical surface is formed on the lens surface, and the aspherical expression (11) indicates the data of the performance of the diffractive optical surface.
The objective lens OL of each example is an infinity correction type having a configuration shown in
This imaging lens IL has, in order from the object, a cemented lens in which a bi-convex lens L21 and a bi-concave lens L22 are cemented, and a cemented lens in which a bi-convex lens L23 and a bi-concave lens L24 are cemented.
As mentioned above, in the diffractive optical element GD, an optical glass L8, two optical members L9 and L10 constituted by different resin materials, and optical glass (piano-concave lens) L11 are cemented in this order, and diffraction grating grooves (diffractive optical surface D) are formed on the cemented surface of the optical members L9 and L10. In other words, this diffractive optical element GD is a contact multi-layer type diffractive optical element.
Table 3 shows the data of the objective lens OL1 according to Example 1 in
In the following data, “mm” is normally used for the unit of radius of curvature r, surface distance d, focal length of the the objective lens fa, and other lengths unless otherwise specified. However, the unit is not limited to “mm”, but another appropriate unit can be used instead, since an equivalent optical performance is obtained even if an optical system is proportionally expanded or proportionally reduced.
Among the conditional correspondence values shown in Table 3, Φ2-1, in conditional expression (4), indicates the power of the 24th surface, and Φ2-2 indicates power of the 25th surface. Thus in Example 1, all of the conditional expressions (1) to (10) are satisfied.
Now an objective lens OL2 shown in
In the diffractive optical element GD, an optical glass L4, two optical members L5 and L6 constituted by different resin materials, and optical glass L7 are cemented in this order, and diffraction grating grooves (diffractive optical surface D) are formed on the cemented surface of the optical members L5 and L6.
Table 4 shows the data of the objective lens OL2 according to Example 2 in
Among the condition correspondence values shown in Table 4, Φ2-1 in the conditional expression (4) indicates the power of the 23rd surface, and Φ2-2 indicates the power of the 24th surface. Thus in Example 2 as well, all of the conditional expressions (1) to (10) are satisfied.
An objective lens OL3 shown in
In the diffractive optical element GD, an optical glass L4, two optical members L5 and L6 constituted by different resin materials, and optical glass L7 are cemented in this order, and diffraction grating grooves (diffractive optical surface D) are formed on the cemented surface of the optical members L5 and L6.
Table 5 shows the data of the objective lens OL3 according to Example 3 in
Among the condition correspondence values shown in Table 5, Φ2-1 in the conditional expression (4) indicates the power of the 23rd surface, and Φ2-2 indicates the power of the 24th surface. Thus in Example 3 as well, all of the conditional expressions (1) to (10) are satisfied.
Now an objective lens OL4 shown in
In the diffractive optical element GD, an optical glass L6, two optical members L7 and L8 constituted by different resin materials, and optical glass (plano-concave lens) L9, are cemented in this order, and diffraction grating grooves (diffractive optical surface D) are formed on the cemented surface of the optical members L7 and L8.
Table 6 shows the data of the objective lens OL4 according to Example 4 in
Among the condition correspondence values shown in Table 6, Φ2-1 in conditional expression (4) indicates the power of the 25th surface, and Φ2-2 indicates the power of the 26th surface. Thus in Example 4 as well, all of the conditional expressions (1) to (10) are satisfied.
Now an objective lens OL5 shown in
In the diffractive optical element GD, an optical glass L6, two optical members L7 and L8 constituted by different resin materials, and optical glass (plano-concave lens) L9, are cemented in this order, and diffraction grating grooves (diffractive optical surface D) are formed on the cemented surface of the optical members L7 and L8.
Table 7 shows the data of the objective lens OL5 according to Example 5 in
Among the condition correspondence values shown in Table 7, Φ2-1 in conditional expression (4) indicates the power of the 25th surface, and Φ2-2 indicates the power of the 26th surface. Thus in Example 5 as well, all of the conditional expressions (1) to (10) are satisfied.
Now an objective lens OL6 shown in
In the diffractive optical element GD, an optical glass L4, two optical members L5 and L6 constituted by different resin materials, and optical glass L7 are cemented in this order, and a diffraction grating grooves (diffractive optical surface D) are formed on the cemented surface of the optical members L5 and L6.
Table 8 shows the data of the objective lens OL6 according to Example 6 in
Among the condition correspondence values shown in Table 8, Φ2-1 in conditional expression (4) indicates the power of the 17th surface, and Φ2-2 indicates the power of the 18th surface. Thus in Example 6 as well, all of the conditional expressions (1) to (10) are satisfied.
Now the objective lens OL7 shown in
In the diffractive optical element GD, two optical members L4 and L5 constituted by different resin materials are cemented in this order between the lenses L3 and L6, and diffraction grating grooves (diffractive optical surface D) are formed on the cemented surface of the optical members L4 and L5.
Table 9 shows the data of the objective lens OL7 according to Example 7 in
Among the condition correspondence values shown in Table 9, Φ2-1 in conditional expression (4) indicates the power of the 15th surface, and Φ2-2 indicates the power of the 16th surface. Thus in Example 7 as well, all of the conditional expressions (1) to (10) are satisfied.
All examples and conditional language recited herein are intended for pedagogical objects to aid the reader in understanding the invention and the concepts contributed by the inventors to furthering the art, and are to be construed as being without limitation to such specifically recited examples and conditions. Although embodiments of the present inventions have been described in detail, it should be understood that various changes, substitutions, and alterations could be made hereto without departing from the spirit and scope of the invention.
| Number | Date | Country | Kind |
|---|---|---|---|
| 2008-042763 | Feb 2008 | JP | national |
| Number | Date | Country | |
|---|---|---|---|
| Parent | PCT/JP2009/053293 | Feb 2009 | US |
| Child | 12861468 | US |
