Title :
Green´s Function Analysis of Electromagnetic Wave Propagation in Photonic Crystal Devices Using Complex Images Technique
Author :
Ameri, Hoda ; Faraji-Dana, Reza
Author_Institution :
Sch. of Electr. & Comput. Eng., Univ. of Tehran, Tehran, Iran
Abstract :
An integral equation method employing complex images Green´s functions is developed for analyzing different devices fabricated in 2-D dielectric photonic crystals. The integral equation is written in terms of the unknown equivalent current sources flowing on the surfaces of the periodic 2-D cylinders. The method of moments is then employed to solve for the unknown current distributions. The required Green´s function of the problem is represented in terms of a finite summation of complex images instead of the conventional slowly converging infinite series. It is shown that when the field-point is far from the periodic sources, it is just sufficient to consider the contribution of the propagating poles in the structure. This will result in a summation of plane waves that has an even smaller size compared with the conventional complex images Green´s function. This will enable us to analyze the dielectric periodic structures efficiently and accurately. The method is applied to a number of waveguide structures and its results are compared with the existing literature.
Keywords :
Green´s function methods; dielectric materials; electromagnetic wave propagation; integral equations; method of moments; photonic crystals; waveguides; 2D dielectric photonic crystal; Green function analysis; complex images technique; electromagnetic wave propagation; equivalent current source; finite summation; integral equation method; method of moments; periodic 2D cylinder; photonic crystal device; waveguide structure; Complex images; integral equation method; method of moments (MoM); periodic Green´s function; photonic crystal devices;
Journal_Title :
Lightwave Technology, Journal of
DOI :
10.1109/JLT.2010.2102004