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Electromagnetoacoustic SH surface waves: Formula for the velocity, existence and uniqueness
Wave Motion ( IF 2.1 ) Pub Date : 2021-05-18 , DOI: 10.1016/j.wavemoti.2021.102757
P.T.H Giang , P.C. Vinh , T.T. Tuan , V.T.N. Anh

The propagation of electromagnetoacoustic SH surface waves (called briefly EMA-SH waves) in non-dispersive piezoelectric media was investigated by Li (1996). Romeo (2004) has derived a formula for the wave velocity. However, it is not valid for all values of material parameters belonging to the existence domain of EMA-SH waves. In this paper, a new formula for the velocity of EMA-SH waves has been derived using the complex function method. This formula is valid for all values of material parameters in the existence domain of EMA-SH waves and more simple than corrected Romeo’s formula. Based on the obtained formula, it is shown that whenever an EMA-SH wave exists, it is unique. We have found the necessary and sufficient condition in an explicit and very simple form for an EMA-SH wave to exist. The correction of Romeo’s formula has been made that makes this formula valid in whole existence domain of EMA-SH waves.



中文翻译:

电磁声SH表面波:速度,存在和唯一性的公式

Li(1996)研究了电磁声SH表面波(简称为EMA-SH波)在非分散压电介质中的传播。罗密欧(2004)推导了波速公式。但是,对于属于EMA-SH波存在域的材料参数的所有值而言,它都是无效的。在本文中,使用复函数方法推导了EMA-SH波速度的新公式。该公式对EMA-SH波存在域中的所有材料参数值均有效,并且比经过修正的罗密欧公式更简单。根据所获得的公式,表明每当存在EMA-SH波时,它都是唯一的。我们已经以明显且非常简单的形式找到了存在EMA-SH波的必要条件和充分条件。

更新日期:2021-05-27
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