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首页> 外文期刊>Discrete and continuous dynamical systems▼hSeries S >COMPLEX RAY IN ANISOTROPIC SOLIDS:EXTENDED FERMAT'S PRINCIPLE
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COMPLEX RAY IN ANISOTROPIC SOLIDS:EXTENDED FERMAT'S PRINCIPLE

机译：各向异性固体中的复合光线：延长的费达的原则

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摘要

In contrast to homogeneous plane waves, solutions of the Christoffel equation for anisotropic media, for which a determined number of rays can be observed in a fixed direction of observation, inhomogeneous plane waves provide a continuum of "rays" that propagate in this direction. From this continuum, some complex plane waves can be extracted for verifying a definition of quasi-arrivals, based on the condition that the time of flight would vary the less in extension to the Fermat's principle that stipulates a stationary time of flight for wave arrivals. The dynamic response in some angular zones contain prominent, although not singular, features whose arrivals cannot be described by the classical ray theory. These wave packet's arrivals can be described by quasi-fronts associated to specific inhomogeneous plane waves. The extent of the phenomena depends on the degree of anisotropy. For weak anisotropy, such quasi-fronts can be observed. For stronger anisotropy, the use of inhomogeneous plane waves, due to their complex slowness vector, permits a simple description of quasi-arrivals that refer to the internal diffraction phenomenon. Some examples are given for different wave surfaces, showing how the wave fronts can be extended beyond the cuspidal edges for forming closed wave surfaces.
机译：与均匀平面波相反，可以在固定观察方向上观察到各向异性介质的Christoffel方程的溶液，其在固定观察方向上，不均匀平面波提供沿着该方向传播的“射线”的连续。从这个连续内，可以提取一些复杂的平面波来验证准抵达的定义，基于飞行时间的延伸时间较少的条件，使Fermat的原理较少，以规定飞行飞行飞行的静止时间。某种角度表中的动态响应包含突出的虽然不是单数的，但古典光线理论无法描述其抵达的特征。这些波包的到达可以由与特定的不均匀平面波相关联的准前部来描述。现象的程度取决于各向异性程度。对于弱的各向异性，可以观察到这种准则。对于较强的各向异性，由于其复杂的慢速载体，使用不均匀平面波允许简单地描述据径向的准射击物，这是指内部衍射现象。对不同的波浪给出了一些示例，示出了如何将波前沿可以延伸超过用于形成闭合波表面的齿顶边缘。

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