Open-geometry modal method based on transverse electric and transverse magnetic mode expansion for orthogonal curvilinear coordinates

Uğur Meriç Gür, Samel Arslanagić, Michael Mattes, Niels Gregersen*

*Corresponding author for this work

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Abstract

A vectorial modal method is presented based on transverse magnetic and transverse electric mode expansion, which significantly simplifies the evaluation of the operator matrix. The method, which features a true open boundary condition, is introduced for an orthogonal curvilinear coordinate system with the specific examples of circular and elliptical geometries presented. We validate the method by considering challenging problems, such as the calculation of spontaneous emission rates, of modal reflection coefficients and of the effect of the emitter spatial misalignment on the spontaneous emission β factor. Results are compared with literature.
Original languageEnglish
Article number033301
JournalPhysical Review E
Volume103
Issue number3
Number of pages14
ISSN2470-0045
DOIs
Publication statusPublished - 2021

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