D’Aguanno, Giuseppe; et al.; Electromagnetic density of modes for a finite-size three-dimensional structure; Physical Review E 69, 057601 (2004); https://journals.aps.org/pre/abstract/10.1103/PhysRevE.69.057601
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The concept of the density of modes has been lacking a precise mathematical definition for a finite-size structure. With the explosive growth in the fabrication of photonic crystals and nanostructures, which are inherently finite in size, a workable definition is imperative. We give a simple and physically intuitive definition of the electromagnetic density of modes based on the Green’s function for a generic three-dimensional open cavity filled with a linear, isotropic, dielectric material.
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