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The design of one-dimensional photonic crystals and the analysis of their optical properties have been performed using band diagram and forbidden gap map methods. It has been shown that the latter method is more useful for practical applications since i it can be applied for any number of periods and ii it is more suitable for the selection of a filling fraction in a wide range of values using a single graphical presentation. Three different types of photonic crystals with small, medium, and high optical contrast were modeled using both methods. The features of the omnidirectional band gap formation for photonic crystals with small optical contrast and low number of periods have been explained. The formation of a one-dimensional photonic structure with limited number of periods and omnidirectional band gap close to that for an infinite periodic structure has been discussed. © 2008 American Institute of Physics. DOI: 10.1063/1.2963700 microphotonics were opened up due to the elaboration of the theory and application of photonic crystals PCs. PCs pos- sess unique optical properties and can be used as reflectors, waveguides, attenuators of spontaneous atomic emission, de- vices for controlling emission in microcavities, and others.3-5 Furthermore, PCs have demonstrated their potential for ap- plication due to a number of microphotonic devices utilized recently.6 During the last decade particular attention has been paid to the development of devices based on one- dimensional 1D PCs, thanks to certain advantages of these devices over two- and three-dimensional 3D PCs. These advantages are mainly related to their simpler fabrication, low cost, and the possibility of having simultaneous total reflection in a certain frequency or wavelength range for light at any incident angle and polarization, i.e., to possess omnidirectional bands ODBs.7-9 The design of a 1D PC normally starts with the selection of the wavelength of its operation. Then, the materials with corresponding refractive indices, n1 and n2, for suitable pe- riodic structure fabrication are chosen. Based on the above selection, the geometric thickness of both components, d1 and d2, will be determined in accordance with the Bragg condition

Design of one-dimensional photonic crystals using combination of band diagram and photonic gap map approaches