用转移矩阵法研究无序对二维光子晶体透射谱的影响
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O431.2

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江苏省自然科学基金


EFFECT OF DISORDER ON TRANSMISSION SPECTRA OF TWO-DIMENSIONAL PHOTONIC CRYSTALS WITH TRANSFER MATRIX METHOD
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    摘要:

    将转移矩阵法(Transfer Matrix Method)用于数值模拟无序情况下的二维光子晶体传输特性.充分利用Fortran语言中的RAND函数分别研究了晶格结构无序、圆柱半径无序、柱体形状无序、介电常数无序对光子晶体传输特性的影响.计算了多种因素无序情况下的二维正方晶格光子晶体的传输函数随频率的变化关系.计算结果表明弱无序时柱体形状影响最大,最小是圆柱半径无序.这说明在一定的无序范围里,可以认为光子晶体的传输特性能够被很好地保持.在强无序时存在共同的现象就是在低频即长波段出现光子局域化现象,无序会影响二维光子晶体的带隙宽度、位置,在强无序时会出现多个共振模.

    Abstract:

    The effect of disorder on transmission spectra of two-dimensional photonic crystals with transfer matrix method(TMM) was investigated.Specifically,the effects of disorders of lattice structure,radius of cylinders,shape of cylinders,and the dielectric constant on the transmission spectra of a two-dimensional square lattice crystal with frequency were studied by using the RAND function in Fortran,respectively.The numerical simulation results show that,in the case of weak disorder,the effect of the shape of cylinders is the most significant while the effect of radius of cylinders is the weakest. The characteristics of transmission can be well maintained if the disorders are limited within a certain range.In the case of strong disorder,a common phenomena found in different disorders is the localization of photons at low frequencies.The width and position of the band gap are affected by the strong disorder.In addition,a number of resonant modes are found in the transmission.

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汤炳书,沈廷根.用转移矩阵法研究无序对二维光子晶体透射谱的影响[J].红外与毫米波学报,2007,26(1):73~76]. TANG Bing-Shu, SHEN Ting-Gen. EFFECT OF DISORDER ON TRANSMISSION SPECTRA OF TWO-DIMENSIONAL PHOTONIC CRYSTALS WITH TRANSFER MATRIX METHOD[J]. J. Infrared Millim. Waves,2007,26(1):73~76.]

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  • 收稿日期:2006-04-05
  • 最后修改日期:2006-11-05
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