Exact-image method for Gaussian-beam problems involving a planar interface
Author(s) -
Ismo V. Lindell
Publication year - 1987
Publication title -
journal of the optical society of america a
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.803
H-Index - 158
eISSN - 1520-8532
pISSN - 1084-7529
DOI - 10.1364/josaa.4.002185
Subject(s) - gaussian beam , planar , gaussian , optics , exact solutions in general relativity , physics , beam (structure) , reflection (computer programming) , image (mathematics) , mathematical analysis , mathematics , computer science , quantum mechanics , computer vision , computer graphics (images) , programming language
The exact-image method, recently introduced for the solution of electromagnetic field problems involving sources above a planar interface between two homogeneous media, is shown to be valid also for sources located in complex space, which makes its application possible for Gaussian-beam analysis. It is demonstrated that the Goos–Hanchen shift and the angular shift of a TE-polarized beam are correctly given as asymptotic results by the exact-reflection-image theory. Also, the apparent-image location giving the correct Gaussian beam transmitted through the interface is obtained as another asymptotic check. The theory described here makes it possible to calculate the exact coupling from the Gaussian beam to the reflected and refracted beams as well as to the surface wave.
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