A hybrid transfer-matrix finite-difference time-domain (FDTD) method is proposed for modeling the optical properties of finite-width planar periodic structures. This method can also be applied for calculation of the photonic bands in infinite photonic crystals. We describe the procedure of evaluating the transfer-matrix elements by a special numerical FDTD simulation. The accuracy of the new method is tested by comparing computed transmission spectra of a 32-layered photonic crystal composed of spherical or ellipsoidal scatterers with the results of direct FDTD and layer-multiple-scattering calculations.
© 2009 Optical Society of America
Original Manuscript: December 10, 2008
Revised Manuscript: February 3, 2009
Manuscript Accepted: February 4, 2009
Published: March 13, 2009
Alexei Deinega, Sergei Belousov, and Ilya Valuev, "Hybrid transfer-matrix FDTD method for layered periodic structures," Opt. Lett. 34, 860-862 (2009)