4 research outputs found
Numerical test of the theory of pseudo-diffusive transmission at the Dirac point of a photonic band structure
It has recently been predicted that a conical singularity (= Dirac point) in
the band structure of a photonic crystal produces an unusual 1/L scaling of the
photon flux transmitted through a slab of thickness L. This inverse-linear
scaling is unusual, because it is characteristic of radiative transport via
diffusion modes through a disordered medium -- while here it appears for
propagation of Bloch modes in an ideal crystal without any disorder. We present
a quantitative numerical test of the predicted scaling, by calculating the
scattering of transverse-electric (TE) modes by a two-dimensional triangular
lattice of dielectric rods in air. We verify the 1/L scaling and show that the
slope differs by less than 10% from the value predicted for maximal coupling of
the Bloch modes in the photonic crystal to the plane waves in free space.Comment: 4 pages, 7 figures. Figure adde
Photonic realization of the relativistic Kronig-Penney model and relativistic Tamm surface states
Photonic analogues of the relativistic Kronig-Penney model and of
relativistic surface Tamm states are proposed for light propagation in fibre
Bragg gratings (FBGs) with phase defects. A periodic sequence of phase slips in
the FBG realizes the relativistic Kronig-Penney model, the band structure of
which being mapped into the spectral response of the FBG. For the semi-infinite
FBG Tamm surface states can appear and can be visualized as narrow resonance
peaks in the transmission spectrum of the grating
Classical Simulation of Relativistic Quantum Mechanics in Periodic Optical Structures
Spatial and/or temporal propagation of light waves in periodic optical
structures offers a rather unique possibility to realize in a purely classical
setting the optical analogues of a wide variety of quantum phenomena rooted in
relativistic wave equations. In this work a brief overview of a few optical
analogues of relativistic quantum phenomena, based on either spatial light
transport in engineered photonic lattices or on temporal pulse propagation in
Bragg grating structures, is presented. Examples include spatial and temporal
photonic analogues of the Zitterbewegung of a relativistic electron, Klein
tunneling, vacuum decay and pair-production, the Dirac oscillator, the
relativistic Kronig-Penney model, and optical realizations of non-Hermitian
extensions of relativistic wave equations.Comment: review article (invited), 14 pages, 7 figures, 105 reference