Multipole expansion for efficient calculation of focal distributions

Colin J. R. Sheppard; Peter Torok

doi:10.1117/12.231034

5 February 1996 Multipole expansion for efficient calculation of focal distributions

Colin J. R. Sheppard, Peter Torok

Proceedings Volume 2730, Second Iberoamerican Meeting on Optics; (1996) https://doi.org/10.1117/12.231034
Event: Second Iberoamerican Meeting on Optics, 1995, Guanajuato, Mexico

Abstract

There is continued interest in calculation of the electromagnetic field distribution in the focal region of an optical system of high numerical aperture. Important applications include microscopy and optical information storage. Unfortunately direct evaluation of the diffraction integrals is extremely time-consuming. We have developed a new method in which the illumination is expanded in a series of multipole terms, each of which gives rise to a focal field which is an analytic function in three-dimensional space. The electric energy density in the focal region has been calculated for various lens and mirror systems.

Citation Download Citation

Colin J. R. Sheppard and Peter Torok "Multipole expansion for efficient calculation of focal distributions", Proc. SPIE 2730, Second Iberoamerican Meeting on Optics, (5 February 1996); https://doi.org/10.1117/12.231034

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