Numerical modeling of field patterns in PCWs with PEC and dispersive LHM circular cylindrical inclusions

Abstract

The study of photonic crystal waveguides (PCWs) is relevant in optics, telecommunications, andmedicine for monitoring biomolecules. This work analyzes an electromagnetic system composed of two conductive plates and a periodic array of perfect electric conductor (PEC) or dispersive left-handed material (LHM) circular cylindrical inclusions, applying a numerical integral method to determine the dispersion relation and characterize the eigenmodes of the system for TE and TM polarizations. The results show disordered patterns of field intensities for PEC and dispersive LHM media at an approximation of the limit of rays. In order to confirm the presence of electromagnetic chaos, a statistical analysis were carried out in terms of the standard deviation of the autocorrelation function (ACF). Therefore, the decrease in the value of the correlation length as the frequency increases is a characteristic feature of chaos. This suggests that the chaotic properties of electromagnetic waves in PCWs could have applications in modern communications technology.