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arXiv physics/0703165physics.optics
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多重散射法在半无限光子波导系统分析中的应用

Application of the multiple-scattering method to analysis of systems with semi-infinite photonic waveguides

Wojciech Smigaj

摘要:

我们提出了一种技术,补偿虚假反射隐含的多重散射(MS)方法,通常用于分析有限的光子晶体(PC)系统,以获得准确的值的特征参数,如反射和透射系数,PC功能元件。而不是MS计算算法的修改,我们的方法涉及MS方法获得的结果的后处理。我们推导出在有限系统中激发的场的解析公式,明确考虑到在人工系统边界处发生的杂散反射。通过拟合MS模拟的结果,从推导的公式得到的那些被调查的功能元件的内部参数。与一个和两个半无限波导连接的设备进行了明确的分析,可能的扩展形式主义更复杂的电路进行了讨论。所提出的方法的准确性进行了测试,在一些系统中,我们的计算结果证明是在良好的协议与其他作者独立获得的。

英文摘要:

We propose a technique of compensating the spurious reflections implied by the multiple-scattering (MS) method, commonly used for analyzing finite photonic crystal (PC) systems, to obtain exact values of characteristic parameters, such as reflection and transmission coefficients, of PC functional elements. Rather than a modification of the MS computational algorithm, our approach involves postprocessing of results obtained by the MS method. We derive analytical formulas for the fields excited in a finite system, taking explicitly into account the spurious reflections occurring at the artificial system boundaries. The intrinsic parameters of the investigated functional element are found by fitting the results of MS simulations to those obtained from the formulas derived. Devices linked with one and two semi-infinite waveguides are analyzed explicitly; possible extensions of the formalism to more complex circuits are discussed as well. The accuracy of the proposed method is tested in a number of systems; the results of our calculations prove to be in good agreement with those obtained independently by other authors.

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