9.1.2: Descripción escalar

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Para observar interferencia en condiciones óptimas (término interferencial más grande) escogeremos ambos vectores paralelos, es decir, ondas con el mismo estado de polarización especificado por el vector unitario \(\mathbf{u}\).
\begin{equation*}
\begin{aligned}
\mathbf{E}_{1} &=E_{1} \mathbf{u} \\
\mathbf{E}_{2} &=E_{2} \mathbf{u} \\
\mathbf{E} &=E \mathbf{u}
\end{aligned}
\end{equation*}
Podemos escribir la igualdad vectorial \(\mathbf{E}=\mathbf{E}_{1}+\mathbf{E}_{2}\) como \(E=E_{1}+E_{2}\). Es decir, vamos a asumir tácitamente en lo que sigue que todas las ondas tienen el mismo estado de polarización. Esto nos conduce a la descripción escalar, más sencilla.

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