Modes of the infinite square lattice of coupled microring resonators
Modes of the infinite square lattice of coupled microring resonators
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DOI：
10.1364/josaa.25.003043
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发表时间：
2008-12-01
影响因子：
1.9
通讯作者：
Uzunoglu, Nikolaos
中科院分区：
文献类型：
--
作者：
Chremmos, Ioannis;Uzunoglu, Nikolaos
本文首次研究了耦合微环光学谐振器的无限正方形晶格。利用周期光学介质中传输的标准矩阵形式和经典的Bloch定理，解析地推导出了传输Bloch模的色散方程和振幅。结果表明，这种二维微环阵列的色散方程omega(k(X)，k(Y))可表示为波数为k(X)和k(Y)的一维微环阵列的两个相互独立的色散方程之和，因此通带宽度是微环耦合腔光波导的两倍，并且在谐振器间功率耦合比大于1/2的情况下不存在阻带。文中还研究了对间断周期晶格分析有重要意义的瞬逝模式。已报道的分析是未来研究由大型有限微环阵列组成的超谐振器的前提。(C)2008年美国光学学会
The infinite square lattice of coupled microring optical resonators is studied for what we belive to be the first time. Using the standard matrix formalism and the classical Bloch's theorem for propagation in periodic optical media, the dispersion equation and the amplitudes of propagating Bloch modes are derived analytically. It is found that the dispersion equation omega(k(x),k(y)) of this 2D microring array is expressed as the sum of two independent dispersion equations of the 1D microring array with wavenumbers k(x) and k(y) As a result, the width of the passband is twice that of a microring coupled-resonator optical waveguide and there are no stop bands for an interresonator power coupling ratio greater than 1/2. The evanescent modes that are important to the analysis of lattices with interrupted periodicity are also studied. The reported analysis is the prerequisite to the future study of superresonators consisting of large finite microring arrays. (C) 2008 Optical Society of America