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Transmission through Kerr Media Barriers within Waveguides and Circuits

机译:通过波导和电路内的Kerr介质壁垒进行传输

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The transmission properties of a barrier composed of Kerr nonlinear media contained within a photonic crystal waveguide or within circuits formed of photonic crystal waveguides is studied theoretically. The photonic crystal is a two-dimensional array of linear media dielectric cylinders, waveguides are formed in the photonic crystal by replacing a row of photonic crystal cylinders with linear media replacement dielectric cylinders, and the barrier is formed by replacing a finite number of waveguide cylinders with cylinders containing Kerr nonlinear dielectric media. The transmission maxima of the circuits, for an incident waveguide mode into the circuits, are determined as functions of two parameters characterizing the Kerr nonlinear media in the barrier. The resulting two-dimensional plot in the Kerr parameter space gives a complex pattern with features that are identified with Fabry-Perot excitations, intrinsic localized modes, and dark soliton modes resonantly excited within the barrier. Circuits treated are straight waveguides, waveguides with bends, and waveguides with side couplings. The theory is based on a difference equation approach developed for nonlinear barriers in Phys Rev B 69,235105(2004) and Phys Rev B 77,115105(2008).
机译:理论上研究了由光子晶体波导中或由光子晶体波导形成的电路中包含的Kerr非线性介质构成的势垒的传输特性。光子晶体是线性介质介电圆柱的二维阵列,通过用线性介质替换介电圆柱代替一排光子晶体圆柱,在光子晶体中形成波导,并且通过替换有限数量的波导圆柱形成势垒。装有Kerr非线性介电介质的圆柱体。对于入射到电路中的波导模式,电路的传输最大值取决于两个参数的函数,该参数表征了势垒中的Kerr非线性介质。在Kerr参数空间中生成的二维图给出了具有特征的复杂模式,这些特征通过在屏障内共振激发的Fabry-Perot激发,固有局域模和暗孤子模来识别。所处理的电路是直形波导,带有弯曲的波导和带有侧耦合的波导。该理论基于Phys Rev B 69,235105(2004)和Phys Rev B 77,115105(2008)中针对非线性势垒开发的差分方程方法。

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