Path-integral derivation of the complex ABCD Huygens integral

Ewan M Wright, J. C. Garrison

Research output: Contribution to journalArticle

10 Citations (Scopus)

Abstract

The Huygens integral, or Green’s function, for paraxial beam propagation in a generalized lenslike medium is derived as a Feynman path integral involving a summation over real rays. This formulation provides a physically intuitive understanding of the structure of the Green’s function. The path integral is evaluated by introducing in a consistent manner the notion of complex rays, and the familiar result for the Huygens integral in terms of the complex ABCD matrix of the medium is obtained.

Original languageEnglish (US)
Pages (from-to)1751-1755
Number of pages5
JournalJournal of the Optical Society of America A: Optics and Image Science, and Vision
Volume4
Issue number9
DOIs
StatePublished - Sep 1 1987

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Green's function
derivation
rays
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formulations
propagation
matrices
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ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics
  • Computer Vision and Pattern Recognition
  • Electronic, Optical and Magnetic Materials

Cite this

Path-integral derivation of the complex ABCD Huygens integral. / Wright, Ewan M; Garrison, J. C.

In: Journal of the Optical Society of America A: Optics and Image Science, and Vision, Vol. 4, No. 9, 01.09.1987, p. 1751-1755.

Research output: Contribution to journalArticle

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