We have developed a plane-wave transfer-matrix method in combination with an interpolation method to calculate the whole diagram of photonic band structures in the first Brillouin zone by only looking at one single stacking direction of crystalline layers with fast numerical convergence. Using the interpolation method, one does not need to scan a considerable frequency range to accurately compute the exact value of eigenfrequency corresponding to a Bloch wave. The calculated photonic band structures by our proposed method are in good agreement with results obtained by means of the conventional plane-wave expansion method but with a better numerical convergency. The proposed approach can become an economical, flexible, and accurate numerical tool to understand and design different two-dimensional and three-dimensional photonic crystals.
© 2008 Optical Society of America
Original Manuscript: March 14, 2008
Manuscript Accepted: May 26, 2008
Published: July 16, 2008
Ming Che and Zhi-Yuan Li, "Solution of photonic band diagrams by a plane-wave-based transfer-matrix method in combination with an interpolation method," J. Opt. Soc. Am. B 25, 1270-1276 (2008)