Eigenfunction expansion of the electric fields in the focal region of a high numerical aperture focusing system | Zendy

Sherif S. Sherif | Zendy; Matthew R. Foreman | Zendy; Péter Török | Zendy

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Eigenfunction expansion of the electric fields in the focal region of a high numerical aperture focusing system

Author(s) -

Sherif S. Sherif,

Matthew R. Foreman,

Péter Török

Publication year - 2008

Publication title -

optics express

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.394

H-Index - 271

ISSN - 1094-4087

DOI - 10.1364/oe.16.003397

Subject(s) - optics , apodization , bessel function , eigenfunction , physics , numerical aperture , diffraction , multipole expansion , aperture (computer memory) , debye , electric field , electromagnetic field , cardinal point , wavelength , eigenvalues and eigenvectors , quantum mechanics , acoustics , condensed matter physics

The Debye-Wolf electromagnetic diffraction integral is now routinely used to describe focusing by high numerical (NA) lenses. We obtain an eigenfunction expansion of the electric vector field in the focal region in terms of Bessel and generalized prolate spheroidal functions. Our representation has many optimal and desirable properties which offer considerable simplification to the evaluation and analysis of the Debye- Wolf integral. It is potentially also useful in implementing two-dimensional apodization techniques to synthesize electromagnetic field distributions in the focal region of a high NA lenses. Our work is applicable to many areas, such as optical microscopy, optical data storage and lithography.

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