Design and Optical Properties of Two-dimensional Photonic Crystals: A Finite-Difference Time-Domain Numerical Simulation Study

作者：Park Inkyu^*; Kim Sunman; Lee Geon Joon; Lee YoungPak; Kim Jihye

来源：Journal of the Korean Physical Society, 2011, 59(5): 3267-3272.

DOI：10.3938/jkps.59.3267

• Two-dimensional photonic crystals
• Photonic bandgap
• Multiple beam interference
• Square-lattice
• Triangular lattice
• Defect
• 90 degrees-bent waveguide

In this research, the photonic band structures and the transmittance spectra are obtained by solving the Maxwell equations using the finite-difference tune-domain method. Two-dimensional (2D) square-lattice photonic crystals (PCs) were designed such that the center wavelength of the photonic bandgap (PBG) was located near 800 ram The optimized 2D square-lattice PC has epsilon(H) = 7.0, epsilon(L) = 1.0, lattice constant (a) = 272 run, and radius of lattice (r(H)) = 0.3*a. The square-lattice PC shows a complete PBC between 711 and 841 am. The proposed square-lattice PC can be created by the interference of four umbrella. beams. For the interference of four umbrella beams with a wavelength of 400 inn and a crossing angle of 47.3 degrees, the interference pattern has a. square lattice-like profile with a lattice constant of 272 urn. As applications of 2D square-lattice PCs, we investigated the optical properties of a linear waveguide, a 90 degrees-bent waveguide, and an interferometer formed by introducing proper defects into 2D square-lattice PCs. Similar to 2D square-lattice PCs formed by four beam interference, 2D triangular lattice PCs can he created by three beam interference. A triangular lattice PC with a lattice constant of 287 urn can be created by the interference of three umbrella beams with a wavelength of 400 am and a crossing angle of 68 degrees. The corresponding 2D triangular lattice PC shows a complete PBC between 706 inn and 916

• 出版日期2011-11