Optical and Quantum Electronics

, Volume 36, Issue 1, pp 213-221

First online:

Mathematical study of the two-dimensional lasing problem for the whispering-gallery modes in a circular dielectric microcavity

  • Elena I. SmotrovaAffiliated withInstitute of Radio-Physics and Electronics, NASU Email author 
  • , Alexander I. NosichAffiliated withInstitute of Radio-Physics and Electronics, NASU

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Microdisk lasers are investigated for their thresholds characteristics. We present a novel approach for studying the threshold gains of the whispering-gallery (WG) and other modes based on solving the boundary value problem for the Maxwell's equations. The novelty is that we consider the real-value pairs of frequencies and material gains as eigenvalues. In the two-dimensional (2D) approximation this problem is reduced to the set of independent transcendental equations. A Newton's method is further used to calculate the thresholds and natural frequencies numerically.

dielectric resonator microdisk laser threshold gain whispering-gallery mode