Analytical Modeling of Quality Factor for Shell Type Microsphere Resonators

Abstract

Abstract-In this paper, we have proposed a shell type dielectric microsphere resonator in order to enhance its quality factor. In this work we have assumed that the radius of dielectric microsphere is 12 µm and that the interior metal layer radius is 11.5 µm. We have obtained analytic equations for Vector potentials, characteristic equation, quality factor, resonance frequency and resonance location of TE modes. We have plotted these characteristics by MATLAB software and compared them with the normal microsphere characteristics.

WGMode : A Matlab toolbox for whispering gallery modes volume computation in spherical optical micro-resonators

“…The smaller losses by radiation are, the smaller Im(ω) is and therefore the higher is the radiative quality factor. We wish to emphasize that the quality factor of an optical micro-resonator usually takes into account other losses phenomena, that can be predominant [6,7,8]. Therefore, it is likely to happen that the radiative quality factor is not close to the true, experimentally measured, quality factor.…”

“…A part of optical losses in an optical micro-resonator is caused by the fact that, unlike a flat surface, the total internal reflection from a curved surface does not exist and leads to a radiation of the wave from the dielectric cavity [5,6,7]. This phenomenon is taken into account through the radiative quality factor which is defined as the ratio of the real part of the wave number of a given WGM and its imaginary part.…”

“…Other energy losses in a micro-resonator include surface scattering losses, surface absorption losses, material absorption losses and are taken into account in the definition of the intrinsic quality factor. These additional contributions to the quality factor are difficult to handle mathematically and to compute analytically [6,7,8]. For this reason, in the WGMode toolbox only the radiative quality factor is computed.…”

Quality Factor Enhancement of Optical Channel Drop Filters Based on Photonic Crystal Ring Resonators

“…By using multilayer rings, light can be confined closer to the surface of the ring. The result of the greater confinement of light near the surface is a higher quality factor [15].…”

The Electromagnetic Properties of the Generalized Cantor Stack in Spherical Multilayered Systems

“…The case of the compound structure, when the dielectric sphere is coated by an alternative stack, is much richer. The Q-factor of optical oscillations has a large value in the frequency regions of weak transmission, and beyond these regions, Q remains small [4][5][6][7][8][9][10][11][12][13]. In this paper we numerically analyze the wave phase interference in a Cantor generalized fractal pattern in the spherical stack.…”