Modeling of cavities using the analytic modal method and an open geometry formalism

Jakob Rosenkrantz de Lasson, Thomas Christensen, Jesper Mørk, Niels Gregersen

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We present an eigenmode expansion technique for calculating the properties of a dipole emitter inside a micropillar. We consider a solution domain of infinite extent, implying no outer boundary conditions for the electric field, and expand the field on analytic eigenmodes. In contrast to finite-sized simulation domains, this avoids the issue of parasitic reflections from artificial boundaries. We compute the Purcell factor in a two-dimensional micropillar and explore two discretization techniques for the continuous radiation modes. Specifically, an equidistant and a nonequidistant discretization are employed, and while both converge, only the nonequidistant discretization exhibits uniform convergence. These results demonstrate that the method leads to more accurate results than existing simulation techniques and constitutes a promising basis for further work.
Original languageEnglish
JournalOptical Society of America. Journal A: Optics, Image Science, and Vision
Issue number7
Pages (from-to)1237-1246
Publication statusPublished - 2012

Bibliographical note

This paper was published in JOSA A and is made available as an electronic reprint with the permission of OSA. The paper can be found at the following URL on the OSA website: Systematic or multiple reproduction or distribution to multiple locations via electronic or other means is prohibited and is subject to penalties under law.

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