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Proceedings Paper

Full vectorial beam propagation method based on the directional decomposition of the electromagnetic field
Author(s): Mathe van Stralen; Hans Blok
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Paper Abstract

In the proposed method a directional decomposition of the electromagnetic field is made by eliminating the two field components along the propagation direction from the Maxwell equations. This results in a full vectorial two-way wave equation for the forward and backward traveling waves. By a simple manipulation, a set of two coupled one-way wave equations is constructed, which are pseudo-differential equations and contain simple terms for the interaction between the counter-propagating waves. The Green tensors corresponding to the one-way wave equations are expressed in terms of path integrals and can be based either upon the pseudo-differential operator or upon the corresponding left symbol. Using these path integrals a Bremmer coupling series is applied which completes the directional decomposition procedure. This new scheme encompasses all existing BPM-type methods. Some numerical results are given for a new BPM-type algorithm based upon the application of left symbols.

Paper Details

Date Published: 25 August 1994
PDF: 10 pages
Proc. SPIE 2212, Linear and Nonlinear Integrated Optics, (25 August 1994); doi: 10.1117/12.185138
Show Author Affiliations
Mathe van Stralen, Delft Univ. of Technology (Netherlands)
Hans Blok, Delft Univ. of Technology (Netherlands)


Published in SPIE Proceedings Vol. 2212:
Linear and Nonlinear Integrated Optics
Giancarlo C. Righini; David Yevick, Editor(s)

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