Patent Grant
7271965
1. Field of the Invention
This invention relates to optical lens systems configured to compensate for chromatic aberration, and particularly to an apochromatic lens suitable for wideband applications.
2. Discussion of the Known Art
U.S. Pat. No. 5,333,076 (Jul. 26, 1994) discloses a stabilized imaging system intended for use in aerial reconnaissance systems, including a fixed lens assembly and a movable electro-optic imager element. The lens assembly has an external entrance pupil located between a rotating prism and a stationary prism, so that the apertures of the two prisms can be made relatively small for a given field of view. In addition, the prisms provide a level of compensation for chromatic aberration that occurs within the lens assembly.
Lens assemblies or systems such as disclosed in the '076 patent are constructed to compensate for chromatic dispersion inherent in each lens element of the system. The systems are typically apochromatic; that is, the lens elements are configured and positioned relative to one another so that the focal length of the lens system is the same at both ends of the light spectrum of interest (achromatic), and at one or more other intermediate wavelengths (apochromatic). Without such compensation, the focal length of the system would change undesirably with the light spectrum received from the object, yielding axial chromatic aberration which causes color fringes to appear at the edges of the projected image of the object. Another example of an apochromatic lens system is disclosed in U.S. Pat. No. 5,973,859 (Oct. 26, 1999). See also U.S. Pat. No. 6,147,815 (Nov. 14, 2000). So-called achromatic lens systems are constructed to obtain the same focal length only at two wavelengths over the spectrum of interest. See, e.g., U.S. Pat. No. 5,959,785 (Sep. 28, 1999).
Chromatic dispersion in a glass lens element occurs because the index of refraction (n) of the glass varies with the wavelength of light transmitted through the glass. The degree of this variation is represented by the so-called Abbe number (V) for a given type of glass. Specifically,
V=(nd−1)/(nf−nC);
where nd is the index of refraction of the glass at the wavelength of the helium d line (587.6 nm), nf is the index at the hydrogen f line (486.1 nm), and nC is the index at the hydrogen c line (656.3 nm).
Accordingly, the smaller the value of V, the greater the chromatic dispersion through the glass. Typical Abbe numbers for various types of optical glass are given below:
By combining two lens elements with different Abbe numbers, a lens system can be made to have zero axial chromatic aberration (achromatic correction) for the f and the c lines. These lens systems typically arrange the two lens elements, one positive and one negative, to be in contact or cemented to one another in an arrangement called an achromatic doublet. For the achromatic doublet, the powers and the dispersions of the elements add and are chosen to yield zero total dispersion by satisfying the following equations:
Φp/Vp=−Φn/Vn Eq. 1
Φ=Φp+Φn Eq. 2
where
Φ=power of the lens system
Φp=power of the positive lens
Φn=power of the negative lens
ΦVp=Abbe number of the positive lens
ΦVn=Abbe number of the negative lens
A lens system that is corrected for axial chromatic aberration will typically still exhibit some residual chromatic aberration known as secondary spectrum. Secondary spectrum is measured by the difference between the axial position of the system's corrected common f and c line focus point, and the position of the focus point for another wavelength within the spectrum, typically measured at the d line. In this case, the remaining secondary spectrum produces green or purple fringes to appear on images of objects having sharp edges.
The secondary spectrum for a cemented doublet having a focal length (f), is given by:
SS=[(−f)(Pp−Pn)]/(Vp−Vn) Eq. 3
where
Pp=partial dispersion of the positive lens
Pn=partial dispersion of the negative lens
and the partial dispersion P for either lens is defined by
P=(nd−nf)/(nf−nc) Eq. 4
For a cemented doublet to have a zero secondary spectrum, the two lens glasses must be chosen so as to have different Abbe numbers but the same partial dispersion. This is very difficult since most glasses exhibit a linear relationship between Abbe number and partial dispersion. By careful selection of glasses, most achromatic doublets can only reduce their secondary spectrum rather than completely eliminating it. To eliminate secondary spectrum completely, apochromatic lens systems typically utilize a minimum of three lens elements, and employ glasses having abnormal partial dispersion, i.e., a dispersion that varies non-linearly with the Abbe number of the glass as explained below. By carefully arranging the powers of the lens elements, their Abbe numbers and partial dispersions, all three lines (f, d, c) can be brought to a common focus point.
Wideband apochromatic lens systems employ the same approach of careful selection of lens element powers, Abbe numbers and partial dispersions. Wideband systems must therefore employ a greater number of lens elements and types of glass due to the extended spectrum, however, and partial dispersions for an extended set of wavelengths must also be considered.
Partial Dispersion and Abnormal Dispersion for General Set of Wavelengths
The relative partial dispersion Px,y for a given type of glass for a general set of wavelengths is defined by:
Px,y=(nx−ny)/(nf−nc) Eq. 5
where the subscripts x and y denote standard spectral line assignments associated with specific refractive index values.
The dispersive characteristics of various types of glass may then be compared by plotting the relative partial dispersion Px,y versus the Abbe number V. These quantities share a linear correspondence for most optical glasses and therefore plot along a single straight line. Glasses that exhibit this linear behavior are referred to as normal dispersion glasses. The partial dispersion of these glasses can be approximately described by the following equation:
Px,yax,y+bx,y·V Eq. 6
where ax,y and bx,y are constants. Glasses which deviate significantly from the line described by Equation 6 are called abnormal dispersion glasses. For such glass types, the deviation of partial dispersion from the normal line can be represented by the quantity ΔPx,y. A more precise expression for Px,y may then be given by the following equation:
Px,y=ax,y+bx,y·V+ΔPx,y Eq. 7
In their catalogs and publications, suppliers of glass materials typically provide ΔPx,y values as referenced to a straight line defined by the Px,y values for a given type of glass. See, e.g., SCHOTT Technical Information Publication TIE-29, Refractive Index and Dispersion (April 2005); and R. E. Fischer, et al. (OPTICS 1, Inc. and SCHOTT AG), “Removing the Mystique of Glass Selection”, at Internet URL <http:/www.optics1.com/pdfs/removing_mystique.pdf>. Both of these publications are incorporated by reference.
High quality wideband apochromatic lens systems typically employ eight or more lens elements formed from at least five or more different types of glass. This results in a complex lens assembly with higher cost, lower transmittance, and higher susceptibility to glass obsolescence. Consequently, if only one of the required glasses becomes obsolete and a suitable substitute glass cannot be found, a costly redesign often becomes necessary. Because of these disadvantages, a wideband apochromatic lens system that requires fewer lens elements and fewer glass types while offering color correction over a wide spectrum of, e.g., about 400 nm bandwidth, is highly desirable.
According to the invention, an apochromatic lens system for use with an external aperture stop, includes a first optical group having positive optical power, a second optical group having negative optical power and a third optical group having positive optical power, mounted axially in order from a front end to a rear end of a lens barrel. The first optical group includes four optical elements having, in order from the front end of the barrel, a negative optical power, a positive optical power, a negative optical power, and a positive optical power. The second optical group includes one optical element of a negative optical power; and the third group includes two optical elements each having a positive optical power. All of the mentioned optical elements are formed from not more than three different types of glass material.
According to another aspect of the invention, an apochromatic lens system for use with an internal aperture stop, includes a first optical group having positive optical power, a second optical group having positive optical power and a third optical group having negative optical power, mounted axially in order from a front end to a rear end of a lens barrel. The first optical group includes four optical elements having, in order from the front end of the barrel, a positive optical power, a negative optical power, a positive optical power, and a negative optical power. The second optical group includes one optical element of positive optical power, and the third optical group includes one optical element of negative optical power. All of the mentioned optical elements are formed from not more than three different glass materials.
For a better understanding of the invention, reference is made to the following description taken in conjunction with the accompanying drawing and the appended claims.
In the drawing:
The lens system 10 basically includes a lens barrel 12 having an axis A-A. The barrel 12 is supported by a bracket or other structure not shown in
A first optical group 30, a second optical group 40, and a third optical group 50 of optical elements or lenses are mounted inside the lens barrel 12 in the stated order from the front end 14 toward the rear end 18 of the barrel, in alignment with the barrel axis A-A. The first optical group 30 has an overall positive power, and is configured to converge light received from the object 16 and to direct the converged light onto the second optical group 40. The group 30 includes four optical elements 32, 34, 36, 38 having, in order starting from the barrel front end 14; a negative optical power, a positive optical power, a negative optical power, and a positive optical power. Elements 32, 34 and elements 36, 38 may, if desired, be cemented to one another as noted below.
As seen in
The second optical element 34 of the group 30 is a double convex lens, the third optical element 36 is a double concave lens, and the fourth optical element 38 is a positive meniscus lens whose convex surface 38a faces toward the object 16.
Further, as mentioned, the first and the second optical elements 32, 34 of the first optical group 30 may be cemented to one another for additional chromatic aberration correction. The third and the fourth optical elements 36, 38 of the group 30 may also be cemented to one another for the same reason.
The mutual configuration of the four optical elements of the first optical group 30 allows for correction of pupil spherical aberration, spherical aberration and for coma correction, while satisfying relationships required among the optical elements needed to achieve a desired overall color correction by the lens system 10.
The second optical group 40 has a negative optical power, and is configured to diverge the converged light from the first optical group 30 and to direct the diverged light onto the third optical group 50. The second optical group 40 includes only one optical element 42 of a negative optical power, for example, a double convex lens as shown in
The third optical group 50 has an overall positive optical power, and is configured to converge the diverged light from the second optical group 40, and to focus the light onto the imaging surface 20 aligned with the back end 18 of the lens barrel 12. The third optical group 50 includes two optical elements 52, 54 each of positive optical power. In the embodiment of
The apochromatic lens system 10 in
Further, the following relationships among the optical groups 30, 40, 50 and their constituent optical elements have been found to allow the lens system 10 to perform well over a wide spectral band as noted below.
F′/F′I>0.7;
|F′I/F′II|>1.5;
0.35<|F′II/F′III|<0.85;
0.45<V1/V2≈V5/V6≈V5/V7<0.75;
0.85<(V1/V2)/(V3/V4)<1.15;
3.75<|ΔP1/ΔP2|≈ΔP5/ΔP6<4.75;
0.2<(ΔP1/ΔP2)/(ΔP3/ΔP4)<0.4; and
0.85<(ΔP3/ΔP4)/(ΔP5/ΔP7)<1.15;
wherein:
V1, V2, V3 and V4 are Abbe numbers for each of the optical elements 32, 34, 36, 38 of the first optical group 30 in the stated order;
V5 is the Abbe number of the optical element 42 of the second optical group 40;
V6 and V7 are the Abbe numbers for the optical elements 52, 54 of the third optical group 50 in the stated order; and
ΔP1, ΔP2, ΔP3, ΔP4, ΔP5, ΔP6 and ΔP7 are measured deviations of relative partial dispersion from linearity with respect to the Abbe number for the corresponding optical element.
The secondary spectrum is corrected, and near diffraction quality is obtained over the whole field of view across a wide wavelength band of 546 nm to 940 nm when the glass manufacturer's specified ΔPd,C. value was used for ΔPn for each of the corresponding optical elements. Glass manufacturers may specify a number of different ΔP values for a given glass (e.g., ΔPd,C.; ΔPc,f; ΔPC,s; etc.). The selection of the particular ΔP value should correspond with a central portion of the spectral band over which the inventive lens system 10 is desired to perform.
The system 110 includes a lens barrel 112 having an axis A′-A′. The barrel 112 is supported by a bracket or other structure not shown in
A first optical group 130, a second optical group 140, and a third optical group 150 of optical elements are mounted inside the lens barrel 112 in the stated order from the front end 114 toward the rear end 118 of the barrel, in alignment with the barrel axis A′-A′. The first optical group 130 has an overall positive power, and is configured to converge light received from the object 116 and direct the converged light onto the second optical group 140. The group 130 includes four optical elements 132, 134, 136, 138 having, in order starting from the barrel front end 114; a positive optical power, a negative optical power, a positive optical power, and a negative optical power.
As seen in
The third optical element 136 of the first optical group 130 is in the form of a biconvex lens, and the fourth optical element 138 of the group is in the form of a biconcave lens. The third optical element 136 and the fourth optical element 138 may also be cemented to one another for the above reason.
The second optical group 140 has an overall positive optical power, and is configured further to converge the light from the first optical group 130, and to direct the converged light onto the third optical group 150. The second optical group 140 includes only one optical element 142 of a positive optical power, wherein the element 142 is in the form of a positive meniscus lens.
The third optical group 150 has an overall negative optical power, and is configured to focus the converged light from the second optical group 140 onto the imaging surface 120 aligned with the back end 118 of the lens barrel 112. The third optical group 150 includes only one optical element 152 possessing a negative optical power, wherein the element 152 is a negative meniscus lens whose concave surface 152a faces toward the object 116.
In the lens system 110 in
The apochromatic lens system 110 in
Further, the following relationships among the optical groups 130, 140, 150 and their constituent optical elements have been found to allow the lens system 110 to perform well over a wide spectral band as noted below.
|F′/F′I<0.35;
|F′I/F′II|>4;
0.45<|F′II/F′III|<0.75;
1.3<V1/V2≈V5/V6<1.5;
1.15<(V1/V2)/(V3/V4)<1.45;
0.10<|ΔP1/ΔP2≈|ΔP5/ΔP6|<0.25; and
1.1<(ΔP1/ΔP2)/(ΔP3/ΔP4)<1.35;
wherein:
F′ is the focal length of the lens system 110;
F′I, F′II and F′III are focal lengths of the first, the second and the third optical groups 130, 140, 150;
V1, V2, V3 and V4 are Abbe numbers for each of the optical elements 132, 134, 136, 138 of the first optical group 130 in the stated order;
V5 is the Abbe number of the optical element 142 of the second optical group 140;
V6 is the Abbe number of the optical element 152 of the third optical group 150; and
ΔP1, ΔP2, ΔP3, ΔP4, ΔP5, and ΔP6 are measured deviations of relative partial dispersion from linearity with respect to the Abbe number for the corresponding optical element.
The lens system 210 also requires only six optical elements that may be formed from only three different types of glass. For example:
Further, the following relationships among the optical groups 230, 240, 250 and their constituent optical elements have been found to allow the lens system 210 to perform well over a wide band as shown in
F′I/F′II>2.5;
1<V1/V2≈V5/V6<1.2;
0.7<(V1/V2)/(V3/V4)<0.9;
0.25<(ΔP1/ΔP2)(ΔP3/ΔP4)<0.55
where:
F′I and F′II are the focal lengths of optical groups 230 and 240, respectively;
V1, V2, V3, V4, V5 and V6 are the Abbe numbers for the optical elements 232, 234, 236, 238, 242 and 252; and
ΔP1, ΔP2, ΔP3, and ΔP4 are deviations of relative partial dispersion from linearity with respect to the Abbe number for the optical elements 232, 234, 236 and 238.
While the foregoing represents preferred embodiments of the invention, it will be understood by those skilled in the art that various changes and modifications may be made without departing from the spirit and scope of the invention, and that the invention includes all such modifications and changes as come within the scope of the following claims.
| Number | Name | Date | Kind |
|---|---|---|---|
| 5333076 | Wight | Jul 1994 | A |
| 5959785 | Adachi | Sep 1999 | A |
| 5973859 | Abe | Oct 1999 | A |
| 6147815 | Fujie | Nov 2000 | A |
