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This work focuses on the study of the influence of geometrical parameters on the quality factor of a cavity H1, realized with one missing hole in the center. For obtaining the H1 characteristics and the band structure of the photonic crystal, the finite difference time domain (FDTD) method, which is based on solving Maxwell's equations in a spatially and temporally discretized domain, and plane wave expansion (PWE) method, which is a resolution method of Maxwell equations in the frequency domain, were used respectively. In this method, one simulates a space of theoretically infinite extent with a finite computational cell. The quality factor increases until a maximum value equal 1.23×10⁶ for a filling factor r/a=0.44, and then decreases to a value of 3.39×10⁵ for a filling factor r/a=0.47.
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