Düzlemsel katmanlı yapıların incelenmesi ve yeni uygulama alanları: Chirped aynalar ve fotonik kristaller

The main purpose of this work is to study and to investigate layered media, with a view ofunderstanding its applications as chirped mirrors and photonic crystals. In this work, wereviewed the dispersion phenomena in general and investigated dispersion compensation roleof chirped dielectric mirrors and used genetic algorithm for chirped mirror design. The otherplanar layered media, one dimensional photonic crystals are studied via plane wave method(PWM) which obtains dispersion diagram of the infinitely extended periodic planar structuresand we propose a novel approach, namely (generalized pencil of function) GPOF approach,alternative to PWM. Similar to PWM, this approach finds dispersion characteristics of thephotonic crystals. The main difference is that GPOF approach analyzes photonic crystalshaving finite number of layers which is more realistic. In addition, by this approach, onedimensional photonic crystal can be modeled with their homogeneous equivalents. The newapproach is compared with PWM for the confirmation of accuracy. With this method, it isshown that homogeneous equivalents and, dispersion characteristics can be found for obliqueincident waves as well.Keywords: planar layered media, chirped dielectric mirrors, dispersion compensation, geneticalgorithm, photonic crystals, plane wave method, generalized pencil of function.