ABSTRACT
The plane wave expansion method was implemented in modelling and simulating the band
structures of three dimensional photonic crystals with FCC lattice formed from air spheres drilled in
GaAs and diamond lattice formed by GaAs spheres drilled in air. Both these structures lead to a
complete band gap not allowing EM waves with the frequency of the band gap to propagate through
the crystal in any direction. Diamond lattice photonic crystal has a complete band gap for a wider
range of filling fraction than FCC photonic crystal and also it has a wider band gap width.
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Filling fraction
Variation of Gap to mid gap ratio with filling fraction
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