Abstract

We show that the refracted wave at the exit surface of a Photonic Crystal (PhC) slab is periodically modulated, in positive or in negative direction, changing the slab thickness. In spite of an always increasing literature, the effect of the thickness in negative refraction on PhC’s does not seem to be appropriately considered. However such an effect is not surprising if interpreted with the help of Dynamical Diffraction Theory (DDT), which is generally applied in the x-ray diffraction. The thickness dependence is a direct result of the so-called Pendellösung phenomenon. That explains the periodic exchange, inside the crystal, of the energy among direct beam (or positively refracted) and diffracted beam (or negatively refracted). The Pendellösung phenomenon is an outstanding example of the application of the DDT as a powerful and simple tool for the analysis of s electromagnetic interaction in PhC’s.

©2005 Optical Society of America

Pendellösung effect in photonic crystals

S. Savo, E. Di Gennaro, C. Miletto, A. Andreone, P. Dardano, L. Moretti, and V. Mocella
Opt. Express 16(12) 9097-9105 (2008)

A polarizing beam splitter using negative refraction of photonic crystals

Vito Mocella, Principia Dardano, Luigi Moretti, and I. Rendina
Opt. Express 13(19) 7699-7707 (2005)

Analysis of wave propagation in a two-dimensional photonic crystal with negative index of refraction: plane wave decomposition of the Bloch modes

Alejandro Martínez, Hernán Míguez, José Sánchez-Dehesa, and Javier Martí
Opt. Express 13(11) 4160-4174 (2005)

Influence of surface termination on negative reflection by photonic crystals

Vito Mocella, Principia Dardano, Luigi Moretti, and Ivo Rendina
Opt. Express 15(11) 6605-6611 (2007)

Dual-negative refraction in photonic crystals with hexagonal lattices

G. Y. Dong, J. Zhou, X. L. Yang, and L. Z. Cai
Opt. Express 19(13) 12119-12124 (2011)