Inversion of the Debye-Wolf diffraction integral using an eigenfunction representation of the electric fields in the focal region

Matthew R. Foreman; Sherif S. Sherif; Peter R.T. Munro; Peter Török

doi:10.1364/OE.16.004901

Inversion of the Debye-Wolf diffraction integral using an eigenfunction representation of the electric fields in the focal region

Matthew R. Foreman, Sherif S. Sherif, Peter R.T. Munro, Peter Török^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

29 Citations (Scopus)

Abstract

The forward problem of focusing light using a high numerical aperture lens can be described using the Debye-Wolf integral, however a solution to the inverse problem does not currently exist. In this work an inversion formula based on an eigenfunction representation is derived and presented which allows a field distribution in a plane in the focal region to be specified and the appropriate pupil plane distribution to be calculated. Various additional considerations constrain the inversion to ensure physicality and practicality of the results and these are also discussed. A number of inversion examples are given.

Original language	English
Pages (from-to)	4901-4917
Number of pages	17
Journal	Optics Express
Volume	16
Issue number	7
DOIs	https://doi.org/10.1364/OE.16.004901
Publication status	Published - Mar 31 2008
Externally published	Yes

ASJC Scopus Subject Areas

Atomic and Molecular Physics, and Optics

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10.1364/OE.16.004901

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Inversion of the Debye-Wolf diffraction integral using an eigenfunction representation of the electric fields in the focal region

Abstract

ASJC Scopus Subject Areas

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