Study of the microgear resonators using the Floquet-Bloch formalism

Kien Phan Huy; Alain Morand; Pierre Benech

doi:10.1117/12.588942

28 April 2005 Study of the microgear resonators using the Floquet-Bloch formalism

Kien Phan Huy, Alain Morand, Pierre Benech

Proceedings Volume 5722, Physics and Simulation of Optoelectronic Devices XIII; (2005) https://doi.org/10.1117/12.588942
Event: Integrated Optoelectronic Devices 2005, 2005, San Jose, California, United States

Abstract

The microgear cavity is a microdisk surrounded by a circular Bragg grating. It is well known for its high Q Whispering Gallery Mode (WGM) and its modal selectivity. Microgears are often simulated thanks to two-dimensional (2-D) Finite-Difference Time-Domain (FDTD) computations which are limited by their cartesian grid and experience a high numerical complexity. In this paper, a fast and accurate 2-D method describing the WGM in a microgear dielectric resonators is presented. The model is based on the Floquet Bloch formalism. The field is described analytically within the disk and outside the grating. The field within the grating is calculated with a finite difference formalism in polar coordinates. The resonant wavelength and quality factor can be deduced from the eigenvalue problem. Our method has been compared to the Coupled Mode Theory and to 2-D FDTD computations, it proves to be more accurate and much faster than both methods (few seconds versus few hours for FDTD). Moreover, we have demonstrated a polarization effect of the microgear. Finally, our model can be applied to different structures. Micro-flowers and microgear surrounded by multi-layer Bragg reflector are investigated.

Citation Download Citation

Kien Phan Huy, Alain Morand, and Pierre Benech "Study of the microgear resonators using the Floquet-Bloch formalism", Proc. SPIE 5722, Physics and Simulation of Optoelectronic Devices XIII, (28 April 2005); https://doi.org/10.1117/12.588942

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KEYWORDS

Finite-difference time-domain method

Resonators

Polarization

Dielectric polarization

Teeth

Fiber Bragg gratings

Refractive index

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