2021/10/31 by Ebrahim Forati · 6 citations
Engineering · Materials Science · Mathematics · Physics and Astronomy · #Condensed matter physics #Density of states #Electromagnetic radiation #Finite element method #Formalism (music) #Geometry #Local density of states #Mathematics #Metamaterials and Metasurfaces Applications #Photonic Crystals and Applications #Photonic crystal #Photonics #Physics #Quantum mechanics #Tensor (intrinsic definition) #Thermal Radiation and Cooling Technologies #physics.optics
paper · pdf · doi:10.1109/jmmct.2022.3153405
published in IEEE journal on multiscale and multiphysics computational techniques 7, 46-55 (Institute of Electrical and Electronics Engineers)
arxiv created 2021/10/31 · openalex created_date 2021/11/08 · openalex publication_date 2022/01/01 · arxiv updated 2022/03/18 · openalex updated_date 2026/08/05
Different densities of electromagnetic states inside a one dimensional photonic crystal (1D PC) are studied. Hertz vector formalism is used to calculate Green tensor inside a layered structure, semi-analytically. Based on the obtained Green tensor, the local density of electromagnetic states (LDOS) and the density of states (DOS) inside a 1D PC are calculated and discussed. The Green tensor is also used to approximate the density of Bloch states inside the 1D PC and is compared with its exact calculation based on the 1D PC dispersion relations. Using a practical 1D PC parameters in the visible range, the aforementioned quantities are calculated and verified with a full-wave solver based on finite element method (FEM). The formulations and the results are aimed to be helpful in thermal and spontaneous radiation studies.