Optical characterization of one dimension photonic crystal

Photonic crystal is a periodic dielectric material that affect the propagation of light. That produces a photonic bandgap. Photonic bandgap is a phenomena where a range of frequency cannot propagate through the structure. We use Plane Wave and Transfer Matrix method to analyze the dispersion relation that produce the photonic bandgap. In the simulation we try to compare both results and show them in graph of wavevector k vs frequency, with unit cell consisting GaAS as material of the dielectric and air as the gap. If we increase the width of the dielectric medium, the bandgap will shift into higher frequency value. The proof of the bandgap is reflectance coefficients. Comparing both TMM and PWM method resulting an error of calculation. The length of error on each bandgap increased as the normalized frequency increased. In the first bandgap, it has length of differences 0.0072 in normalized frequency. And is increasing when we analyze the second and third photonic bandgap, with length of differences 0.0136 and 0.0195, respectively. The fourth and fifth photonic bandgap occured above the normalized region so was not a valid results