4.1: Planteamiento del problema

Última actualización

17 abr 2022
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- 4: Medios homogéneos e isótropos
- 4.2: Solución

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En este capítulo nos preocuparemos por caracterizar adecuadamente los medios homogéneos e isótropos cuando son iluminados por ondas armónicas planas inhomogéneas.

Vamos a ver qué soluciones ecMm existen cuando $\epsilon_{g e n}$ es un escalar (homogeneidad) y no depende de la posición (isotropía) tales que la forma de los campos sea

$\begin{aligned} \mathbf{E}(\mathbf{r}, t) &=\mathbf{E}_{0} e^{i\left(\mathbf{k}_{c} \cdot \mathbf{r}-\omega t\right)} \\ \mathbf{H}(\mathbf{r}, t) &=\mathbf{H}_{0} e^{i\left(\mathbf{k}_{c} \cdot \mathbf{r}-\omega t\right)} \end{aligned}$

con $\mathbf{E}_{0}, \mathbf{H}_{0}, \mathbf{k}_{c}, \omega$ constantes. Lo que queremos saber es qué relaciones vamos a obtener entre los parámetros de la onda y con los del material $\left(\epsilon_{g e n}, \mu\right)$ si imponemos el cumplimiento de las ecuaciones de MAXWELL sobre el tipo de soluciones que acabamos de escribir.

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