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Analysis of whispering gallery mode resonators by using airy functions


Reference:

Cinosi, N., Sarma, J., Mencarelli, D. and Causa, F., 2003. Analysis of whispering gallery mode resonators by using airy functions. In: Numerical Simulation of Semiconductor Optoelectronic Devices, 2003. NUSOD 2003. Proceedings of the IEEE/LEOS 3rd International Conference on, 2003-01-01.

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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.

Details

Item Type Conference or Workshop Items (Paper)
CreatorsCinosi, N., Sarma, J., Mencarelli, D. and Causa, F.
Uncontrolled Keywordsq-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
DepartmentsFaculty of Engineering & Design > Electronic & Electrical Engineering
RefereedNo
StatusPublished
ID Code6043

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