Radiation pattern of a classical dipole in a photonic crystal: photon focusing

Abstract

The 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 stopband 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 \emph{photon focusing}. 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.

arXiv commentSubmitted to Phys. Rev. E

References in corpus (2)

• Radiating dipoles in photonic crystals
• Periodic thin-film interference filters as one-dimensional photonic crystals

Cited by in corpus (5)

• Electromagnetic Scattering Laws in Weyl Systems
• Theory of Cherenkov radiation in periodic dielectric media: Emission spectrum
• All-Angle Collimation for Spin Waves
• Spatial distribution of the emission intensity in a photonic crystal: Self-interference of Bloch eigenwaves
• Spatial distribution of Cherenkov radiation in periodic dielectric media