Electromagnetic propagation in periodic stratified media I General theory*

Abstract

The propagation of electromagnetic radiation in periodically stratified media is considered. Media of finite, semi-infinite, and infinite extent are treated. A diagonalization of the unit cell translation operator is used to obtain exact solutions for the Bloch waves, the dispersion relations, and the band structure of the medium. Some new phenomena with applications to integrated optics and laser technology are presented.

Optical Effects Induced by Bloch Surface Waves in One-Dimensional Photonic Crystals

“…A typical SEM image of a one-dimensional photonic crystal is shown in the Figure 1a. The BSWs propagate along the vacuum/photonic crystal interface in the photonic-band-gap spectral range, and exponentially decay in the directions perpendicular to the surface plane [22]. Depending on the photonic crystal structure, the BSWs can have a polarization sensitivity and be excited only by TE-polarized light.…”

Application of the Mathieu’s equation for a design of a photonic crystal supporting surface electromagnetic waves

“…1). For TM modes, if we know the H y -component of the magnetic field, the electric field components can be evaluated from Maxwell's equations [2,19]:…”

“…Optical surface modes in onedimensional photonic crystals (multilayer dielectric mirrors) were extensively studied in the 1970s, both theoretically [2,3] and experimentally [4]. Twenty years later, excitation of optical surface waves (SW) in photonic crystals in a Kretschmann-like configuration was first demonstrated [5].…”

Compact photonic-crystal superabsorbers from strongly absorbing media

“…The fields are evaluated at the interface, i.e., at x ¼ 0, with the transfer matrix method (TMM). [36][37][38] Three characteristic cases for the spectral response of the energy velocity at the PC interface, v e;int , are shown as solid lines in Figs. 2(a)-2(c), that correspond to PCs with lattice constants a ¼ 5 lm, 8 lm, and 10 lm, respectively.…”

“…3, where dv e =dx is calculated [36][37][38] as a function of the location, x within the entry SiC layer of the semi-infinite PC. This is done at the free space wavelength where the v e;int and v e;0 curves intersect.…”