Abstract

We describe and analyze an optical device capable of generating tilt, defocus, astigmatism, coma, and spherical aberration wave-front deformation. This optical device consists of a pair of aspheric plates that produce aberrations by laterally shifting one plate relative to the other. The surface descriptions of these optical plates are provided, and their aberration-inducing properties are verified with ray-tracing software. In addition, we examine the versatility and the limitations of using variable aberration generators and provide insight into how aberrations may be controlled by a simple lateral shift. The device may find application in aberration control in lens systems that are nonrotationally symmetric.

© 1999 Optical Society of America

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References

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  1. W. T. Welford, Aberrations of the Symmetrical Optical System (Academic, London, 1974), pp. 201–202.
  2. J. G. Baker, W. T. Plummer, “Analytic function optical component,” U. S. patent4,650,292 (17Mar.1987).
  3. D. J. Riley, R. A. Chipman, “Distortion-adjusting optical elements,” Appl. Opt. 31, 2188–2193 (1992).
    [CrossRef]
  4. L. J. Golden, “Generation and measurement of small aberrations,” Ph.D. dissertation (University of Arizona, Optical Sciences Center, 1974).
  5. K. P. Thompson, “Conformal optics: key issues in a developing technology,” Opt. Photonics News 8(10), 24–30 (1997).
    [CrossRef]
  6. L. W. Alvarez, W. E. Humphrey, “Variable-power lens and system,” U. S. patent3,507,565 (21Apr.1970).
  7. Optical Research Associates, 3280 East Foothill Boulevard, Pasadena, California.

1997

K. P. Thompson, “Conformal optics: key issues in a developing technology,” Opt. Photonics News 8(10), 24–30 (1997).
[CrossRef]

1992

Alvarez, L. W.

L. W. Alvarez, W. E. Humphrey, “Variable-power lens and system,” U. S. patent3,507,565 (21Apr.1970).

Baker, J. G.

J. G. Baker, W. T. Plummer, “Analytic function optical component,” U. S. patent4,650,292 (17Mar.1987).

Chipman, R. A.

Golden, L. J.

L. J. Golden, “Generation and measurement of small aberrations,” Ph.D. dissertation (University of Arizona, Optical Sciences Center, 1974).

Humphrey, W. E.

L. W. Alvarez, W. E. Humphrey, “Variable-power lens and system,” U. S. patent3,507,565 (21Apr.1970).

Plummer, W. T.

J. G. Baker, W. T. Plummer, “Analytic function optical component,” U. S. patent4,650,292 (17Mar.1987).

Riley, D. J.

Thompson, K. P.

K. P. Thompson, “Conformal optics: key issues in a developing technology,” Opt. Photonics News 8(10), 24–30 (1997).
[CrossRef]

Welford, W. T.

W. T. Welford, Aberrations of the Symmetrical Optical System (Academic, London, 1974), pp. 201–202.

Appl. Opt.

Opt. Photonics News

K. P. Thompson, “Conformal optics: key issues in a developing technology,” Opt. Photonics News 8(10), 24–30 (1997).
[CrossRef]

Other

L. W. Alvarez, W. E. Humphrey, “Variable-power lens and system,” U. S. patent3,507,565 (21Apr.1970).

Optical Research Associates, 3280 East Foothill Boulevard, Pasadena, California.

L. J. Golden, “Generation and measurement of small aberrations,” Ph.D. dissertation (University of Arizona, Optical Sciences Center, 1974).

W. T. Welford, Aberrations of the Symmetrical Optical System (Academic, London, 1974), pp. 201–202.

J. G. Baker, W. T. Plummer, “Analytic function optical component,” U. S. patent4,650,292 (17Mar.1987).

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Figures (4)

Fig. 1
Fig. 1

Laterally shifting Alvarez–Humphrey plates.

Fig. 2
Fig. 2

Spot diagrams for two different amounts of shift a.

Fig. 3
Fig. 3

Plot of rms spot size versus lateral shift showing a linear variation in the amount of spherical aberration with shift.

Fig. 4
Fig. 4

Plot of a magnified surface shape that generates spherical aberration.

Tables (1)

Tables Icon

Table 1 Table Listing Surface Descriptions, Direction of Plate Shift, and Resulting Wave-Front Deformation for Aberrations of Interest

Equations (11)

Equations on this page are rendered with MathJax. Learn more.

OPDx, y=n-1Tx, y,
Wx, y=n-1Tx+a, y-Tx-a, y,
Wx, y=n-1Tx, y+a-Tx, y-a.
Wx, y=2an-1Tx+a, y-Tx-a, y2a2an-1Tx, yx,
x=x+sx, yn-1Tx+a, yx,
y=y+sx, yn-1Tx+a, yy,
sx, y=S+Tx+a, y-Tx-a, y
Wx, y=n-1Tx+a, y-Tx-a, y.
Wx, y=2kn-1ay-n-12k2x2+y2y.
R=-2n-1k2x2+y2
R=-k2d2,

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