Analysis of whispering gallery mode resonators by using airy functions

N Cinosi, J Sarma, D Mencarelli, F Causa

Research output: Contribution to conferencePaper

Abstract

In this paper, airy functions to represent Bessel functions of large index order are applied. The eigenvalue wave equation is then reduced to a polynomial equation. The complex roots of such a polynomial are the sought whispering gallery modes (WGM) resonant frequencies which in effect, provide the Q-factors and determine the WGM field profiles. Particular emphasis has been given to deriving the spectral and spatial distribution of WGMs, along the Q-factors of the resonators. These properties are essential to characterise circular semiconductor lasers, which use WGMs as modal emission.
Original languageEnglish
Publication statusPublished - 2003
EventNumerical Simulation of Semiconductor Optoelectronic Devices, 2003. NUSOD 2003. Proceedings of the IEEE/LEOS 3rd International Conference on -
Duration: 1 Jan 2003 → …

Conference

ConferenceNumerical Simulation of Semiconductor Optoelectronic Devices, 2003. NUSOD 2003. Proceedings of the IEEE/LEOS 3rd International Conference on
Period1/01/03 → …

Keywords

  • Q-factors
  • whispering gallery mode resonators
  • laser cavity resonators
  • ring lasers
  • resonant frequencies
  • wave equations
  • circular semiconductor lasers
  • Bessel functions
  • Q-factor
  • airy functions
  • polynomial equation
  • eigenvalues and eigenfunctions
  • polynomials
  • eigenvalue wave equation

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    Cinosi, N., Sarma, J., Mencarelli, D., & Causa, F. (2003). Analysis of whispering gallery mode resonators by using airy functions. Paper presented at Numerical Simulation of Semiconductor Optoelectronic Devices, 2003. NUSOD 2003. Proceedings of the IEEE/LEOS 3rd International Conference on, .