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

Uğur Meriç Gür, Samel Arslanagić, Michael Mattes, and Niels Gregersen
Phys. Rev. E 103, 033301 – Published 3 March 2021
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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.

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  • Received 15 June 2020
  • Revised 13 October 2020
  • Accepted 8 February 2021

DOI:https://doi.org/10.1103/PhysRevE.103.033301

©2021 American Physical Society

Physics Subject Headings (PhySH)

Atomic, Molecular & OpticalGeneral PhysicsStatistical Physics & ThermodynamicsInterdisciplinary PhysicsQuantum Information, Science & Technology

Authors & Affiliations

Uğur Meriç Gür, Samel Arslanagić, and Michael Mattes

  • Department of Electrical Engineering, Technical University of Denmark, Ørsteds Plads, Building 348, DK-2800 Kongens Lyngby, Denmark

Niels Gregersen*

  • Department of Photonics Engineering, Technical University of Denmark, Ørsteds Plads, Building 343, DK-2800 Kongens Lyngby, Denmark

  • *ngre@fotonik.dtu.dk

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Issue

Vol. 103, Iss. 3 — March 2021

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