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) |
| Creators | Cinosi, N., Sarma, J., Mencarelli, D. and Causa, F. |
| Uncontrolled 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 |
| Departments | Faculty of Engineering & Design > Electronic & Electrical Engineering |
| Refereed | No |
| Status | Published |
| ID Code | 6043 |
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