Method to map individual electromagnetic field components inside a photonic crystal

Abstract

We present a method to map the absolute electromagnetic field strength inside photonic crystals. We apply the method to map the dominant electric field component Ez of a two-dimensional photonic crystal slab at microwave frequencies. The slab is placed between two mirrors to select Bloch standing waves and a subwavelength spherical scatterer is scanned inside the resulting resonator. The resonant Bloch frequencies shift depending on the electric field at the position of the scatterer. To map the electric field component Ez we measure the frequency shift in the reflection and transmission spectrum of the slab versus the scatterer position. Very good agreement is found between measurements and calculations without any adjustable parameters.

Coherent Cherenkov radiation and laser oscillation in a photonic crystal

“…The lattice carries 20 x 7 cylindrical metallic rods (height p = 1.6a z , diameter d = 0.6a z ) and is enclosed in a rectangular metallic waveguide (height h = 3.2a z and width w = 13.44a z ). We assume all surfaces to be fully conducting, which is well-justified in the range of mm-waves as can be seen, e.g., from spatial mapping of individual field components inside photonic crystals [35]. Consequently, the permeability and permittivity in eqs.…”