Analysis of the Purcell effect in the waveguide mode by S-quantization


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Abstract

A method for calculating the spontaneous-emission probability for arbitrary layered structures in the waveguide mode has been developed based on the scattering matrix formalism. The results of calculating the mode Purcell factor for the TE and TM modes of a planar waveguide are shown. Analytical estimates for the mode Purcell factor are obtained, and the conditions for achieving maximum amplification of spontaneous emission in a waveguide are determined.

About the authors

K. A. Ivanov

St. Petersburg State University; ITMO University

Author for correspondence.
Email: kivanov@corp.ifmo.ru
Russian Federation, St. Petersburg, 194021; St. Petersburg, 197101

A. R. Gubaidullin

St. Petersburg State University; ITMO University

Email: kivanov@corp.ifmo.ru
Russian Federation, St. Petersburg, 194021; St. Petersburg, 197101

K. M. Morozov

St. Petersburg State University

Email: kivanov@corp.ifmo.ru
Russian Federation, St. Petersburg, 194021

M. E. Sasin

Ioffe Physical Technical Institute

Email: kivanov@corp.ifmo.ru
Russian Federation, St. Petersburg, 194021

M. A. Kaliteevskii

St. Petersburg State University; ITMO University; Ioffe Physical Technical Institute

Email: kivanov@corp.ifmo.ru
Russian Federation, St. Petersburg, 194021; St. Petersburg, 197101; St. Petersburg, 194021

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