Title :
Analysis of band-gap characteristics of two-dimensional periodic structures using the source-model technique
Author :
Ludwig, A. ; Leviatan, Y.
Author_Institution :
Dept. of Electr. Eng., Technion-Israel Inst. of Technol., Haifa, Israel
Abstract :
Summary form only given. Introduces a solution based on the source-model technique for periodic structures for the problem of electromagnetic scattering by a two-dimensional PBC (photonic bandgap crystal) slab illuminated by a TM (transverse magnetic) plane wave. The PBC slab is composed of a finite number of identical layers each comprising a linear periodic array of dielectric cylinders. The proposed solution uses fictitious current sources of yet to be determined amplitudes to simulate the fields in each of the different dielectric regions of which the PBC slab is composed. These amplitudes are in turn adjusted to fit the continuity conditions for the tangential components of the electric and magnetic fields at a selected set of points on the boundary between the different dielectric regions, within the unit cell of the periodic structure. The calculated transmitted and reflected power densities for different frequencies and for various angles of incidence of the implied incident wave demonstrate the existence of a frequency bandgap.
Keywords :
electromagnetic wave scattering; periodic structures; photonic band gap; TM plane wave; band-gap characteristics; continuity conditions; dielectric cylinders; dielectric regions; electromagnetic scattering; fictitious current sources; frequency bandgap; linear periodic array; photonic bandgap crystal slab; power densities; source-model technique; tangential components; two-dimensional periodic structures; unit cell; Dielectrics; Ear; Eigenvalues and eigenfunctions; Electromagnetic scattering; Engine cylinders; Frequency; Magnetic fields; Periodic structures; Photonic band gap; Slabs;
Conference_Titel :
Electrical and Electronics Engineers in Israel, 2002. The 22nd Convention of
Print_ISBN :
0-7803-7693-5
DOI :
10.1109/EEEI.2002.1178334