Spontaneous emission rate and the density of states inside a one dimensional photonic crystal

Abstract

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.

References in corpus (8)

• Interfacing single photons and single quantum dots with photonic nanostructures
• Controlling the Spontaneous Emission Rate of Single Quantum Dots in a 2D Photonic Crystal
• Definition and measurement of the local density of electromagnetic states close to an interface
• Local density of optical states in the band gap of a finite photonic crystal
• Finite size scaling of density of states in photonic bandgap crystals
• Theory of emission from an active photonic lattice
• Spontaneous-emission rates in finite photonic crystals of plane scatterers
• Density of Bloch states inside a one dimensional photonic crystal

Cited by in corpus (4)

• Interpreting Purcell Enhancement of Non-Hermitian Metasurfaces with Spectral Parameters
• Modelling Purcell enhancement of metasurfaces supporting quasi-bound states in the continuum
• Density of Bloch states inside a one dimensional photonic crystal
• Direct space-time modeling of mechanically dressed dipole-dipole interactions with electromagnetically-coupled oscillating dipoles