D’Aguanno, GiuseppeMattiucci, NadiaCentini, MarcoScalora, MichaelBloemer, Mark J.2020-05-222020-05-222004-05-24D’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.69.057601https://doi.org/10.1103/PhysRevE.69.057601http://hdl.handle.net/11603/18719The 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.4 pagesen-USThis item is likely protected under Title 17 of the U.S. Copyright Law. Unless on a Creative Commons license, for uses protected by Copyright Law, contact the copyright holder or the author.Public Domain Mark 1.0This work was written as part of one of the author's official duties as an Employee of the United States Government and is therefore a work of the United States Government. In accordance with 17 U.S.C. 105, no copyright protection is available for such works under U.S. Law.Electromagnetic density of modes for a finite-size three-dimensional structureText