Q-factor instability and its explanation in the staircased FDTD simulation of high-Q circular cavity Export

@article{citeulike:5898846, abstract = {The loss of high-Q whispering-gallery modes (WGMs) with lower azimuthal mode number [m\~{}(9-12)] in a circular cavity have been analyzed by using a two-dimensional finite-difference time domain method (2D FDTD) method employing Cartesian gridding and staircase approximation. The FDTD simulated Q-factors of these WGMs are generally lower than those of theoretical expectations. The variations of FDTD simulated Q-factors with spatial-calculation step size indicate that the FDTD results do not simply approximate to their theoretical expectation but jump unstably under the expectation. A loss estimation method similar to volume current method (VCM) is developed to explain the FDTD results and instability. This method calculates the ” incoherent” scattering field of a scattering source under influence of cavity. Theoretical results coincident with the FDTD simulation are obtained, especially for transverse magnetic modes. As based on the developed method, the energy loss is affected by only a few harmonics of boundary fluctuation that cause the FDTD loss instability.}, author = {Qiu, Shan-Liang and Li, Yong-Ping}, citeulike-article-id = {5898846}, citeulike-linkout-0 = {http://dx.doi.org/10.1364/JOSAB.26.001664}, citeulike-linkout-1 = {http://www.opticsinfobase.org/abstract.cfm?id=184332}, day = {1}, doi = {10.1364/JOSAB.26.001664}, issn = {0740-3224}, journal = {J. Opt. Soc. Am. B}, keywords = {roughness}, month = {September}, number = {9}, pages = {1664--1674}, posted-at = {2009-10-06 14:40:39}, priority = {2}, publisher = {OSA}, title = {Q-factor instability and its explanation in the staircased FDTD simulation of high-Q circular cavity}, url = {http://dx.doi.org/10.1364/JOSAB.26.001664}, volume = {26}, year = {2009} }

TY - JOUR ID - citeulike:5898846 L3 - citeulike-article-id:5898846 N2 - The loss of high-Q whispering-gallery modes (WGMs) with lower azimuthal mode number [m~(9-12)] in a circular cavity have been analyzed by using a two-dimensional finite-difference time domain method (2D FDTD) method employing Cartesian gridding and staircase approximation. The FDTD simulated Q-factors of these WGMs are generally lower than those of theoretical expectations. The variations of FDTD simulated Q-factors with spatial-calculation step size indicate that the FDTD results do not simply approximate to their theoretical expectation but jump unstably under the expectation. A loss estimation method similar to volume current method (VCM) is developed to explain the FDTD results and instability. This method calculates the “incoherent” scattering field of a scattering source under influence of cavity. Theoretical results coincident with the FDTD simulation are obtained, especially for transverse magnetic modes. As based on the developed method, the energy loss is affected by only a few harmonics of boundary fluctuation that cause the FDTD loss instability. IS - 9 JF - J. Opt. Soc. Am. B SN - 0740-3224 EP - 1674 TI - Q-factor instability and its explanation in the staircased FDTD simulation of high-Q circular cavity PB - OSA VL - 26 SP - 1664 KW - roughness AU - Qiu, Shan-Liang AU - Li, Yong-Ping PY - 2009/09/01/ UR - http://dx.doi.org/10.1364/JOSAB.26.001664 ER -