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Analysis of leaky-surface-wave propagating under periodic metal grating

机译:周期性金属光栅下的泄漏面波传播分析

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A detailed field analysis is presented for a leaky surface wave propagating under a periodic metal grating, using a theory that neglects the effect of mass loading due to the grating. The approach is based on Floquet's theorem and the coupled equations of wave motion with unperturbed mechanical and perturbed (or periodic) electrical boundary conditions, yielding a general field solution applicable to any material and to arbitrary connections to the grating. As a key step, the periodic boundary equations are solved by combining them into a set of infinite homogeneous equations through algebraic treatment and performing orthogonal integration with respect to space harmonics. The advantage in using this method results from there being no need to use assumptions or complicated expressions anticipating an accurate solution if sufficient space harmonics are considered. It is shown that the theory proposed here can be directly extended to solve simpler SAW problems. An analysis is carried out for LiNbO/sub 3/ for both the leaky wave and Rayleigh wave, taking into account dispersion relations, propagation attenuation of the leaky wave, and other field distributions. Theoretical and experimental results for the width of the first stopband are discussed.
机译:提出了一种详细的现场分析方法,该方法利用忽略了光栅引起的质量载荷效应的理论,对在周期性金属光栅下传播的泄漏表面波进行了分析。该方法基于Floquet定理和具有无扰动机械和扰动(或周期性)电边界条件的波动运动的耦合方程,产生适用于任何材料以及与光栅的任意连接的通用场解。作为关键步骤,通过代数处理将周期边界方程组合为一组无限齐次方程,并针对空间谐波进行正交积分,可以求解周期边界方程。使用这种方法的优势在于,如果考虑到足够的空间谐波,则无需使用假设或复杂的表达式即可预期出准确的解决方案。结果表明,本文提出的理论可以直接扩展为解决较简单的声表面波问题。考虑到色散关系,泄漏波的传播衰减和其他场分布,针对泄漏波和瑞利波对LiNbO / sub 3 /进行了分析。讨论了第一阻带宽度的理论和实验结果。

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