Calculation of vectorial three-dimensional transfer functions in large-angle 
focusing systems

Schoenle, A.; Hell, S. W.

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Calculation of vectorial three-dimensional transfer functions in large-angle focusing systems

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Schoenle, A.
Department of NanoBiophotonics, MPI for biophysical chemistry, Max Planck Society;

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Hell, S. W.
Department of NanoBiophotonics, MPI for biophysical chemistry, Max Planck Society;

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Schoenle, A., & Hell, S. W. (2002). Calculation of vectorial three-dimensional transfer functions in large-angle focusing systems. Journal of the Optical Society of America A, 19(10), 2121-2126. Retrieved from http://www.opticsinfobase.org/viewmedia.cfm?uri=josaa-19-10-2121&seq=0.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0012-F2D6-5

Abstract

The optical transfer function (OTF) is used in describing imaging systems in the Fourier domain. So far the calculation of the OTF of a large-aperture imaging system has been difficult because the vectorial nature of light breaks the cylindrical symmetry of the pupil function. We derive a simple line integral solution for calculating the vectorial three- dimensional OTF. We further extend this approach to imaging through a planar interface of two media with mismatched refractive indices. In general, our formalism allows for calculation of the Fourier transform of any product of two arbitrary vector components of the electromagnetic field. Arbitrary phase or amplitude modifications of the pupil function can be taken into account. (C) 2002 Optical Society of America