论文标题
边界层对电磁和声学的非凡传输的影响通过狭窄的缝隙
Boundary-layer effects on electromagnetic and acoustic extraordinary transmission through narrow slits
论文作者
论文摘要
我们研究了通过无限板中的亚波长缝的电磁波和声波的异常传播的问题，该板的厚度接近波长的半数。我们建立在Holley＆Schnitzer的匹配 - 肿瘤分析的基础上（Wave Motion，91 102381，2019），他考虑了单张式配置，假设忽略了耗散且电磁和声学问题的理想化配方是一种单张配置。在这里，我们在这里扩展了该理论，以在电磁问题中包括与板的有限电导率相关的薄耗散边界层，以及在声学问题中粘性和粘性和热效应。通过考虑具有耗散效应和衍射效应的杰出边界尺度，我们会产生准确的分析近似值，这些分析近似通常在谐振附近有效；电磁声学类比保留至单个物理依赖性参数，该参数是针对两种情况明确提供的。该理论与文献中的GHz-Microwave和KHz声学实验非常吻合。
We study the problem of resonant extraordinary transmission of electromagnetic and acoustic waves through subwavelength slits in an infinite plate, whose thickness is close to a half-multiple of the wavelength. We build on the matched-asymptotics analysis of Holley & Schnitzer (Wave Motion, 91 102381, 2019), who considered a single-slit configuration assuming an idealised formulation where dissipation is neglected and the electromagnetic and acoustic problems are analogous. We here extend that theory to include thin dissipative boundary layers associated with finite conductivity of the plate in the electromagnetic problem and viscous and thermal effects in the acoustic problem, considering both single-slit and slit-array configurations. By considering a distinguished boundary-layer scaling where dissipative and diffractive effects are comparable, we develop accurate analytical approximations that are generally valid near resonance; the electromagnetic-acoustic analogy is preserved up to a single physics-dependent parameter that is provided explicitly for both scenarios. The theory is shown to be in excellent agreement with GHz-microwave and kHz-acoustic experiments in the literature.
