Plazma Tipi Malzeme İçeren Fotonik Kristal Yapıların Tasarımı

Abstract

Plasma photonic crystal (PFC) structure is created by arranging a material exhibiting both dielectric and plasma properties in a multilayered manner according to different sequences. This thesis study focuses on the design of plasma photonic crystal structures with specific sequences that can be used in various optical applications, and investigates their reflection, transmission and absorption behaviors. In the designed structures, the first section employs homogeneous, non-magnetized, weakly ionized plasma material. In the second section, magnetized plasma material is used to create new designs. The Transfer Matrix Method (TMM) is employed in this study, and its formulation is provided. After confirming the results of similar studies in the literature, four different PFC’s are designed using periodic sequences, Fibonacci, Thue-Morse and Cantor series. These designs are expanded to include and exclude defect layers. Air and different dielectric materials are chosen as defect layers. For each of PFC structures, the effects of plasma electron density, defect layer dielectric constant and thickness on reflection and transmission behaviors are examined in the first section. Additionally, for the magnetized PFC structure, new parameters such as external magnetic field and collision frequency are also analyzed to determined reflection, transmission, and absorption behaviors, specifically for periodic and Cantor series-based designs. In the literature, it is reported that PFC designs based on periodic, Fibonacci, Thue- Morse and Cantor sequences exhibit distinct characteristics in terms of optical reflection, transmission, and absorption behaviors. This thesis investigates the comparative contributions of these structures to PFC design by considering various structural parameters together. Periodic PFC forms result with multi-channel transmission characteristic. Fibonacci Sequence PFC yields high reflection at low frequencies and creates a multi-channel structure at high frequencies. Thue-Morse Sequence PFC is primarily suited for single-channel transmission but exhibits high reflection outside the transmission region. Cantor Sequence PFC uniquely displays broader transmission behavior compared to the others. For magnetized plasma, similar characteristics emerge, with both periodic and Cantor sequence-based structures exhibiting increased transmission bandwidths. These findings highlight the potential of PFC designs based on different mathematical series for some current optical applications such as optical filters, wavelength multipliers, and optical sensors.