Title :
Accurate Multipole Analysis for Leaky Microcavities in Two-Dimensional Photonic Crystals
Author :
Li, Shaojie ; Lu, Ya Yan
Author_Institution :
Dept. of Math., City Univ. of Hong Kong, Kowloon, China
Abstract :
A multipole method is presented to analyze leaky microcavities in finite two-dimensional photonic crystals. The eigenfrequency of a leaky mode is solved from the condition that the eigenvalue with the smallest magnitude (instead of the determinant) of the coefficient matrix is zero. Accurate solutions are obtained with a relatively small truncation order in the associated cylindrical wave expansions.
Keywords :
eigenvalues and eigenfunctions; matrix algebra; microcavities; numerical analysis; photonic band gap; photonic crystals; coefficient matrix; cylindrical wave expansions; eigenfrequency; eigenvalue; leaky microcavities; leaky mode; multipole analysis; numerical methods; photonic bandgaps; truncation order; two-dimensional photonic crystals; Multipole method; numerical methods; optical cavities; photonic crystals (PhCs);
Journal_Title :
Photonics Technology Letters, IEEE
DOI :
10.1109/LPT.2009.2036446
