Abstract
These theoretical methods are very powerful tools, if one keeps aware of their limitations and interprets results correctly.
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Notes
- 1.
This is done by showing that the inner product \(\left(\vec{E}_1(\vec{r}),{{\mathbf{O}}}_E\vec{E}_2(\vec{r})\right) = \left({{\mathbf{O}}}_E\vec{E}_1(\vec{r}),\vec{E}_2(\vec{r})\right)\) for any vector fields \(\vec{E}_1(\vec{r})\) and \(\vec{E}_2(\vec{r})\).
- 2.
Working with the electric field rather than the magnetic field, is only justified by the fact, that the plane wave expansion technique is less cumbersome but the approach would be the same for the magnetic field.
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Kolle, M. (2011). Theoretical Aspects of Photonic Structures. In: Photonic Structures Inspired by Nature. Springer Theses. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-15169-9_2
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