In the past two decades, a fluid of research on the photonic crystals (PCs) has been triggered. PCs are artificially periodic structures and they possess come photonic band gaps (PBGs) where electromagnetic waves cannot propagate when the frequencies of waves are falling the PBGs. The study of basic structure of PBG can provide much important information that could be useful in the applications of PCs. In this thesis, we have studied three topics on the PBGs of specific PCs. The first one is to study the photonic band structure in a semiconductor-organic PC operating at UV frequency. The UV PBG structure has been investigated as a function of the loss, angle of incidence in TE and TM polarizations. The PBG can be enhanced by a ternary PC where metallic layer is sandwiched by the semiconductor and organic layers.
The second part is to study the resonant tunneling under the condition where the evanescent waves are present. This tunneling phenomenon is seen a dielectric-dielectric PC. The results show that such a PC can be used to design a multichanneled filter, which could be of technical use in the optical electronics.
The third part is to study the omnidirectional properties in a semiconductor-dielectric PC containing the thermally sensitive semiconductor InSb. Since the permittivity of InSb is a strong function of temperature, tunable photonic band structure will be investigated in this work.

In the past two decades, a fluid of research on the photonic crystals (PCs) has been triggered. PCs are artificially periodic structures and they possess come photonic band gaps (PBGs) where electromagnetic waves cannot propagate when the frequencies of waves are falling the PBGs. The study of basic structure of PBG can provide much important information that could be useful in the applications of PCs. In this thesis, we have studied three topics on the PBGs of specific PCs. The first one is to study the photonic band structure in a semiconductor-organic PC operating at UV frequency. The UV PBG structure has been investigated as a function of the loss, angle of incidence in TE and TM polarizations. The PBG can be enhanced by a ternary PC where metallic layer is sandwiched by the semiconductor and organic layers.
The second part is to study the resonant tunneling under the condition where the evanescent waves are present. This tunneling phenomenon is seen a dielectric-dielectric PC. The results show that such a PC can be used to design a multichanneled filter, which could be of technical use in the optical electronics.
The third part is to study the omnidirectional properties in a semiconductor-dielectric PC containing the thermally sensitive semiconductor InSb. Since the permittivity of InSb is a strong function of temperature, tunable photonic band structure will be investigated in this work.

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