Fast modelling of deeply and fully etched gratings based on the Bloch-Floquet theorem

A model of deeply and fully etched gratings (also identified as one-dimensi onal waveguide photonic bandgap structures), based on the Bloch-Floquet the orem, has been developed to perform a complete analysis of the electromagne tic (e.m.) wave propagation in the structure, assumed of finite extension, i.e. to determine mode propagation constants, electromagnetic field harmoni cs and total field distribution, transmission and reflection coefficients, total forward and backward power flow in the structure, guided power and to tal losses. Comparisons with other accurate numerical methods confirm the accuracy of t he new one, whose main advantages are the quickness and the possibility to determine a great amount of information and figures of merit in a few secon ds (for each operating wavelength). Moreover, the model allows the designer a complete view of the physical and geometrical device features, so it per mits to draw design rules for optimization of photonic bandgap (PBG) wavegu ide device design. Copyright (C) 2001 John Wiley & Sons, Ltd.