# US 7,609,441 B2 · Distorted pupil relay for spectral filtering

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- Number: US 7,609,441 B2
- Document ID: US7609441B2
- Status: Granted
- Kind: B2
- Application number: 11/138,782
- Filed: 2005-05-26
- Published: 2006-11-30
- Granted: 2009-10-27
- Earliest claimed: 2005-05-26
- Assignees: The Boeing Company
- Inventors: Mark A. Lundgren
- Web page: https://patentgrep.com/patent/US7609441B2

## CPC

- G02B 27/0025: {for optical correction, e.g. distorsion, aberration}
- G02B 13/0095: {Relay lenses or rod lenses (in instruments for viewing the inside of hollow bodies G02B23/2446)}
- G02B: OPTICAL ELEMENTS, SYSTEMS OR APPARATUS

## Abstract

A system and method for spectral filtering of images are provided. The system and method utilize a first biconic lens surface to astigmatize a substantially 2-D system pupil into a substantially 1-D pupil (e.g., slit-shaped), and a second biconic lens surface to restore the astigmatic pupil to good quality. Advantageously, the light stream may be filtered with a variable filter.

## Claims

### Claim 1

An optical system, comprising:
a first biconic surface that receives a plurality of light ray bundles originating from a two-dimensional image of an object, the first biconic surface distorting a pupil from a circular shape to a slit shape thereby compressing the plurality of light ray bundles into a compressed beam of light with a slit-shaped cross-section;
a variable filter for filtering the compressed beam of light; and
a secondary group of biconic surfaces that corrects aberrations from the filtered beam of light and provides a filtered two-dimensional image at an image focal plane, the secondary group of biconic surfaces including a weak biconic surface and a strong biconic surface.

### Claim 2 (depends on 1)

The system of claim 1, wherein the first biconic surface has a radius of 150 mm in one direction and is flat in another direction, and wherein the second biconic surface has a radius of 6.9 mm in one direction and is flat in another direction.

### Claim 3 (depends on 1)

The system of claim 1, wherein the pupil has a width compressed by a ratio of about 10:1.

### Claim 4 (depends on 1)

The system of claim 1, wherein the pupil is distorted from a circular shape with a diameter of about 10 mm to a slit shape with a maximum width of about 1 mm.

### Claim 5 (depends on 1)

The system of claim 1, wherein the variable filter is selected from the group consisting of a circular variable filter, a linear variable filter, an electronically variable filter, and a prism.

### Claim 6 (depends on 1)

The system of claim 1, further comprising a first relay lens for providing an intermediate image of the object.

### Claim 7 (depends on 1)

The system of claim 1, further comprising a system stop including a circular aperture with a diameter of about 15 mm providing a field of view of about 0.5 degree.

### Claim 8 (depends on 1)

The system of claim 1, further comprising a relay lens optically coupled to the first biconic surface for relaying the compressed beam of light to the variable filter.

### Claim 9

An optical system, comprising:
a first relay lens for providing an intermediate two-dimensional image of an object through a circular system stop;
a first biconic lens group optically coupled to the first relay lens, the first biconic lens group receiving a plurality of light ray bundles originating from the intermediate two-dimensional image and distorting a pupil from a circular shape to a slit shape thereby compressing the plurality of light ray bundles into a compressed beam of light with a slit-shaped cross-section;
a second relay lens optically coupled to the first biconic lens group for relaying the compressed beam of light;
a variable filter optically coupled to the second relay lens for filtering the compressed beam of light;
and a second biconic lens group optically coupled to the variable filter for correcting aberrations from the filtered beam of light to restore a filtered two-dimensional image at an image focal plane, the second biconic lens group including a weak biconic surface and a strong biconic surface.

### Claim 10 (depends on 9)

The system of claim 9, wherein the pupil has a width compressed by a ratio of about 10:1.

### Claim 11 (depends on 9)

The system of claim 9, wherein the variable filter is selected from the group consisting of a circular variable filter, a linear variable filter, an electronically variable filter, and a prism.

### Claim 12

A method of spectral filtering, comprising:
receiving a plurality of light ray bundles originating from a two-dimensional image of an object at a first biconic surface;
distorting a pupil from a circular shape to a slit shape with the first biconic surface thereby compressing the plurality of light ray bundles into a compressed beam of light with a slit-shaped cross-section;
filtering the compressed beam of light; and
correcting aberrations from the filtered beam of light with a secondary group of biconic surfaces to provide a filtered two-dimensional image at an image focal plane, the secondary group of biconic surfaces including a weak biconic surface and a strong biconic surface.

### Claim 13 (depends on 12)

The method of claim 12, wherein the image of the object is provided to the first biconic surface with a first relay lens.

### Claim 14 (depends on 12)

The method of claim 12, wherein the pupil is distorted to have a width compressed by a ratio of 10:1.

### Claim 15 (depends on 12)

The method of claim 12, wherein the compressed beam of light is relayed from the first biconic surface to a variable filter with a relay lens.

### Claim 16 (depends on 15)

The method of claim 15, wherein the variable filter is selected from the group consisting of a circular variable filter, a linear variable filter, an electronically variable filter, and a prism.

### Claim 17

A pupil relay system, comprising:
a first lens group for receiving a plurality of light ray bundles originating from a two-dimensional image of an object, the plurality of light ray bundles produced by an optical system having an aperture stop, the first lens group including a first biconic surface capable of inducing an astigmatic pupil of the stop;
and a second lens group that reduces the astigmatism induced by the first biconic surface and provides a filtered two-dimensional image at an image focal plane, the second lens group including a weak biconic surface and a strong biconic surface.

### Claim 18 (depends on 17)

The system of claim 17, wherein the first and second lens groups each form achromatic doublets having positive optical power.

### Claim 19 (depends on 17)

The system of claim 17, further comprising a variable filter at the astigmatic pupil of the stop, the variable filter selected from the group consisting of a circular variable filter, a linear variable filter, an electronically variable filter, and a prism.
