Method for correcting field curvature

• US 5,677,797 A
• Filed: 02/04/1994
• Issued: 10/14/1997
• Est. Priority Date: 02/04/1994
• Status: Expired due to Fees

• Current Assignee: 3M Innovative Properties Company (3M Company)
• Original Assignee: US Precision Lens, Inc.
• Inventors: Betensky, Ellis I.
• Primary Examiner(s): NGUYEN, THONG Q
• Application Number:
  US08/192,328
• Time in Patent Office: 1,348 Days
• Field of Search: 359/362-363, 359/422-435, 359/708, 359/642, 359/900, 359/662, 359/648-651
• US Class Current: 359/708
• CPC Class Codes: G02B 13/18 with lenses having one or more non-spherical faces, e.g. for reducing geometrical aberration G02B13/002 takes precedence
• CPC Class Codes: G02B 2027/011 comprising device for correcting geometrical aberrations, distortion
• CPC Class Codes: G02B 27/0025 for optical correction, e.g. distorsion, aberration
• CPC Class Codes: G02B 27/0172 characterised by optical features

Abstract

A method for producing a lens system is provided in which an exact field curvature (EFC) value is determined for at least one principal ray, the EFC value being given by:

EFC=-Σ(n'"'"'-n)c/nn'"'"'

the summation being taken over the surfaces of the system, and for each of the surfaces, n is the index of refraction on the object side of the surface, n'"'"' is the index of refraction on the image side of the surface, and c is the curvature of the surface at the intersection of the surface with the principal ray, c being positive if the center of curvature is on the image side of the surface.

Claims

1. A method for producing a lens system, said lens system comprising at least one aspherical surface and optionally comprising one or more spherical surfaces, said method comprising:

(a) designing the system by a method comprising selecting the shape of one or more aspherical surfaces in the system by determining an EFC value for the system for at least one principal ray, said EFC value being given by;

space="preserve" listing-type="equation">EFC=-Σ

(n'"'"'-n)c/nn'"'"'

where the summation is taken over the surfaces of the system, and for each of said surfaces, n is the index of refraction on the object side of the surface, n'"'"' is the index of refraction on the image side of the surface, and c is the curvature of the surface at the intersection of the surface with the principal ray, c being positive if the center of curvature is on the image side of the surface; and

(b) producing the lens system designed in step (a).

2. The method of claim 1 wherein the system has a maximum field of view and the at least one principal ray is the limiting principal ray associated with said maximum field of view.

3. The method of claim 1 wherein EFC values are determined for multiple principal rays.

4. A method for designing a lens system, said lens system comprising at least one aspherical surface and optionally comprising one or more spherical surfaces, said method comprising:

(a) selecting the shape of one or more aspherical surfaces in the system by determining an EFC value for the system for at least one principal ray, said EFC value being given by;

space="preserve" listing-type="equation">EFC=-Σ

Z(n'"'"'-n)c/nn'"'"'

where the summation is taken over the surfaces of the system, and for each of said surfaces, n is the index of refraction on the object side of the surface, n'"'"' is the index of refraction on the image side of the surface, and c is the curvature of the surface at the intersection of the surface with the principal ray, c being positive if the center of curvature is on the image side of the surface; and

(b) displaying a visually-perceivable graphic representation of the lens system designed in step (a).

5. The method of claim 4 wherein the system has a maximum field of view and the at least one principal ray is the limiting principal ray associated with said maximum field of view.

6. The method of claim 4 wherein EFC values are determined for multiple principal rays.