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

Uğur Meriç Gür | Zendy; Samel Arslanagić | Zendy; Michael Mattes | Zendy; Niels Gregersen | Zendy

Open Access

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

Author(s) -

Uğur Meriç Gür,

Samel Arslanagić,

Michael Mattes,

Niels Gregersen

Publication year - 2021

Publication title -

physical review. e

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.896

H-Index - 304

eISSN - 2470-0053

pISSN - 2470-0045

DOI - 10.1103/physreve.103.033301

Subject(s) - curvilinear coordinates , transverse plane , physics , modal , coordinate system , mathematical analysis , transverse mode , cylindrical coordinate system , eigenmode expansion , boundary value problem , geometry , bipolar coordinates , optics , normal mode , mathematics , acoustics , mechanics , materials science , quantum mechanics , laser , engineering , structural engineering , polymer chemistry , vibration

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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