2003/06/27 by Dmitry N. Chigrin
Engineering · Physics and Astronomy · #Condensed matter physics #Dipole #Electromagnetic radiation #Group velocity #Lattice (music) #Optics #Photon #Photonic Crystals and Applications #Photonic and Optical Devices #Photonic crystal #Photonics #Physics #Quantum mechanics #Radiation #Random lasers and scattering media #Resonator #Square lattice #Stopband #cond-mat.mtrl-sci #cond-mat.soft
paper · pdf · doi:10.1103/physreve.70.056611
Submitted to Phys. Rev. E
arxiv created 2003/06/27 · openalex publication_date 2004/11/18 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
An asymptotic analysis of the radiation pattern of a classical dipole in a photonic crystal possessing an incomplete photonic bandgap is presented. The far-field radiation pattern demonstrates a strong modification with respect to the dipole radiation pattern in vacuum. Radiated power is suppressed in the direction of the spatial stop band and strongly enhanced in the direction of the group velocity, which is stationary with respect to a small variation of the wave vector. An effect of radiated power enhancement is explained in terms of photon focusing. A numerical example is given for a square-lattice two-dimensional photonic crystal. Predictions of asymptotic analysis are substantiated with finite-difference time-domain calculations, revealing a reasonable agreement.