Band Diagram Analysis of Frequency-Dependent Photonic BandGap Structures Using FDFD Method (original) (raw)
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Finite-Difference Time-Domain (FDTD) method has been widely used to study Photonic Bandgap (PBG) structures. However, staircasing approximation employed by Yee's scheme for curved structures is noted to cause numerical errors when the wavelengths of interest are relative small with regard to the grid size. Consequently a high spatial resolution is required in the conventional Yee's FDTD scheme. Nonorthogonal FDTD (NFDTD) method uses a conformal grid to discretize curved structures and hence requires less computer memory in the simulation. The tradeoff is the late time instability inherent in the NFDTD method. In this paper, the Yee's algorithm and NFDTD are compared in modelling the photonic bandgap structures in terms of mesh sizes, numerical accuracy and the requirements on spatial resolution.
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Laboratoire de physique de la matière molle, Unité de recherche : Circuits et systèmes électroniques HF Faculté des Sciences de Tunis, Campus Universitaire Tunis EL-manar, 2092, Tunisie -Abstract-The study of the photonic one-dimensional structures gaps was approached by several methods of analysis such as the FDTD, the method of the flat waves. Our innovation in this study consists in using the iterative method based on the concept of wave FWCIP which establishes a relation of recurrence between the waves incidents and the waves reflected to see the electromagnetic behaviour of the dielectric one-dimensional structures And by calculating the coefficient of transmission and reflection, a comparison will be made at the level of these two coefficients with those found by means of the method of the FDTD.
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Study of electromagnetic band-gap (EBG) structures has become a hot topic in computational electromagnetics. In this article, some EBG structures integrated inside a circular waveguide are studied. They are formed by a series of air-gaps within a circular dielectric-filled waveguide. A body-of-revolution finite-difference time-domain (BOR-FDTD) method is adopted for analysis of such waveguide structures, due to their axial symmetric properties. The opening ends of the waveguide are treated as a matched load using an unsplit perfectly matched layer technique. Excitations on a waveguide in BOR-FDTD are demonstrated. Numerical results of various air-gap lengths with respect to the period of separation are given, showing an interesting tendency of EBG behavior. A chirping-and-tapering technique is applied on the EBG pattern to improve the overall performance. The proposed EBG structures may be applied into antenna structures or other system for unwanted signal suppression. Results show that the BOR-FDTD offers a good alternative in analyzing axial symmetric configurations, as it offers enormous savings in computational time and memory comparing with a general 3D-FDTD algorithm. © 2007 Wiley Periodicals, Inc. Microwave Opt Technol Lett 49: 2201–2206, 2007; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/mop.22668
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