Abstract

In the paraxial form of the Debye integral for focusing, higher order defocus terms are ignored, which can result in errors in dealing with aberrations, even for low numerical aperture. These errors can be avoided by using a different integration variable. The aberrations of a glass slab, such as a coverslip, are expanded in terms of the new variable, and expressed in terms of Zernike polynomials to assist with aberration balancing. Tube length error is also discussed.

© 2013 Optical Society of America

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2000 (1)

1998 (1)

1997 (1)

C. J. R. Sheppard, Optik 105, 29 (1997).

1995 (2)

1993 (2)

R. Kant, J. Modern Opt. 40, 2293 (1993).
[CrossRef]

C. J. R. Sheppard and M. Gu, J. Modern Opt. 40, 1631(1993).
[CrossRef]

1988 (1)

1987 (1)

1984 (1)

1959 (1)

B. Richards and E. Wolf, Proc. R. Soc. London A 253, 358 (1959).
[CrossRef]

1943 (1)

H. H. Hopkins, Proc. Phys. Soc. London 55, 116 (1943).
[CrossRef]

Booker, G. R.

Born, M.

M. Born and E. Wolf, Principles of Optics, 6th ed.(Pergamon, 1993).

Gu, M.

C. J. R. Sheppard and M. Gu, J. Modern Opt. 40, 1631(1993).
[CrossRef]

Hopkins, H. H.

H. H. Hopkins, Proc. Phys. Soc. London 55, 116 (1943).
[CrossRef]

Kant, R.

R. Kant, J. Modern Opt. 40, 2293 (1993).
[CrossRef]

Laczik, Z.

Li, Y.

Matthews, H. J.

Németh, G.

Richards, B.

B. Richards and E. Wolf, Proc. R. Soc. London A 253, 358 (1959).
[CrossRef]

Sheppard, C. J. R.

Török, P.

Varga, P.

Wolf, E.

Y. Li and E. Wolf, J. Opt. Soc. Am. A 1, 801 (1984).
[CrossRef]

B. Richards and E. Wolf, Proc. R. Soc. London A 253, 358 (1959).
[CrossRef]

M. Born and E. Wolf, Principles of Optics, 6th ed.(Pergamon, 1993).

Appl. Opt. (1)

J. Modern Opt. (2)

R. Kant, J. Modern Opt. 40, 2293 (1993).
[CrossRef]

C. J. R. Sheppard and M. Gu, J. Modern Opt. 40, 1631(1993).
[CrossRef]

J. Opt. Soc. Am. A (5)

Opt. Lett. (1)

Optik (1)

C. J. R. Sheppard, Optik 105, 29 (1997).

Proc. Phys. Soc. London (1)

H. H. Hopkins, Proc. Phys. Soc. London 55, 116 (1943).
[CrossRef]

Proc. R. Soc. London A (1)

B. Richards and E. Wolf, Proc. R. Soc. London A 253, 358 (1959).
[CrossRef]

Other (1)

M. Born and E. Wolf, Principles of Optics, 6th ed.(Pergamon, 1993).

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