Scattering matrix approach to the resonant states and Q-values of microdisk lasing cavities

Abstract

We have developed a scattering-matrix approach for numerical calculation of resonant states and Q-values of a nonideal optical disk cavity of an arbitrary shape and of an arbitrary varying refraction index. The developed method has been applied to study the effect of surface roughness and inhomogeneity of the refraction index on Q-values of microdisk cavities for lasing applications. We demonstrate that even small surface roughness can lead to a drastic degradation of high-Q cavity modes by many orders of magnitude. The results of numerical simulation are analyzed and explained in terms of wave reflection at a curved dielectric interface combined with the examination of Poincare surfaces of section and Husimi distributions.

arXiv comment13 pages, 8 figures

References in corpus (3)

• Boundary element method for resonances in dielectric microcavities
• Hexagonal dielectric resonators and microcrystal lasers
• Fresnel laws at curved dielectric interfaces of microresonators

Cited by in corpus (9)

• Spectral shift and Q-change of circular and square-shaped optical microcavity modes due to periodic sidewall surface roughness
• Waveguiding properties of surface states in photonic crystals
• Light propagation in finite and infinite photonic crystals: The recursive Green's function technique
• Directional Emission from an Optical Microdisk Resonator with a Point Scatterer
• Elastic electron scattering in quantum corrals: The importance of the shape of the adatom potential
• Phase Space Engineering in Optical Microcavities I: Preserving near-field uniformity while inducing far-field directionality
• S and Q Matrices Reloaded: applications to open, inhomogeneous, and complex cavities
• Spin-polarized dynamic transport in tubular two-dimensional electron gases
• Phase Space Engineering in Optical Microcavities II: Controlling the far-field