Theoretical investigation of one-dimensional cavities in two-dimensional photonic crystals

• Published in: IEEE journal of quantum electronics Vol. 38; no. 7; pp. 844 - 849
• Main Authors: Foteinopoulou, S., Soukoulis, C.M.
• Format: Journal Article
• Language: English
• Published: New York IEEE 01-07-2002; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Dielectrics; Finite difference methods; Finite difference time domain method; Frequency; Hexagonal lattice; Holes; Laboratories; Mathematical analysis; Mathematical models; Photonic band gap; Photonic crystals; Physics; Q factor; Quality factor; Resonance; Time domain analysis; Two dimensional
• ISSN: 0018-9197; 1558-1713
• DOI: 10.1109/JQE.2002.1017596

We study numerically the features of the resonant peak of one-dimensional (1-D) dielectric cavities in a two-dimensional (2-D) hexagonal lattice. We use both the transfer matrix method and the finite difference time-domain (FDTD) method to calculate the transmission coefficient. We compare the two methods and discuss their results for the transmission and quality factor Q of the resonant peak. We also examine the dependence of Q on absorption and losses, the thickness of the sample, and the lateral width of the cavity. The Q-factor dependence on the width of the source in the FDTD calculations is also given.