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Preprint 24-2007

On the three formulations of transparent boundaries for the beam propagation method

Source file is available as :   Portable Document Format (PDF)

Author(s) : Lubomir Sumichrast , Matthias Ehrhardt

Preprint series of the Institute of Mathematics, Technische Universität Berlin
Preprint 24-2007

MSC 2000

35Q60 Equations of electromagnetic theory and optics

PACS : 41.20.Jb

Abstract :
For the simulation of the propagation of optical waves in the open waveguiding structures of the integrated optics the beam propagation method of solution of the parabolic wave equation is commonly used. It is of paramount importance to have well-performing transparent boundary conditions applied on the boundaries of the computational window, to enable the superfluous portion of the propagating wave to radiate away from the waveguiding structure. Three different formulations (continuous, semi-discrete and fully-discrete) of the non-local transparent boundary conditions are introduced and compared here.

Keywords : Electromagnetic waves, photonic structures, computer simulation, transparent boundary conditions

Notes :
Proceedings of AMTEE 2007 - Advanced Methods of the Theory of Electrical Engineering (Applied to Power Systems), Pilsen, Czech Republic, September, 10-12, 2007.

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