Penggunaan Metode FDTD untuk Analisis Gelombang pada Struktur Berbasis Kartesian dan Silinder
Abstract
In this paper, the comparison of wave characteristics between Cartesian and cylindrical coordinate system–based structures was analyzed using finite-difference time-domain (FDTD) method. The use of FDTD method wasconsidered due to its advantage in solving electromagnetics (EM) problems in wide spectrum of frequency and geometry shapes. The analysis was undertaken for three-dimensions (3D) Cartesian and cylindrical coordinate system–based structures with dimension of x = 600 mm, y = 300 mm, z = 1.200 mm, dan 𝜌 = 600 mm, 𝝋 =1 °, z = 1.200 mm, respectively. A transverse electric (TE) mode excitation of sine wave modulated Gaussian pulse with frequency of 1 GHz was applied for exciting both structures with the direction of propagation wave assumed in z–axis. Some scenarios were applied for both structures conditioned with free space, dielectric, and conductive medium. The attenuation rate obtained from three modelling scenarios in Cartesian coordinate system structures were 0.35 Np/m, 0.24 Np/m, and 0.62 Np/m, respectively. Meanwhile the attenuation rates for cylindrical coordinate system structure were 0.35 Np/m, 0.21 Np/m, and 0.40 Np/m. The simulation result for resonant frequency in Cartesian and cylindrical coordinate systemstructure conditioned with free space were 558.706 MHz and 498.466 MHz, respectively. The resonant frequency obtainedfrom simulation result in Cartesian and cylindrical coordinatesystem structure conditioned with dielectric medium was similar with the one from theoretical calculation in which the highesterror were 2.03% and 0.73%, respectively.
References
K. S. Yee, “Numerical solution of initial boundary value problems involving maxwell’s equation in isotropic media,” IEEE Trans. Antennas Propag., Vol. 14, No. 3, hal. 302–307, Mei 1966.
K. S. Yee dan J. S. Chen, “The Finite Difference Time Domain (FDTD) and the Finite Volume Time Domain (FVTD) Methods in Solving Maxwell’s Equations,” IEEE Trans. Antennas and Propag., Vol. 45, No. 3, hal. 354–363, Mar. 1997.
A. Taflove dan S. C. Hagness, Computational Electrodynamics: The Finite Difference Time Domain Method 3rd ed., London, UK: Artech House, 2005.
A. F. Chan, “The Finite Difference Time Domain Method for Computational Electromagnetics”, University of Southern Queensland, Project Report, hal. 1-294, 2006.
D. M. Hockanson, J. L. Drewniak, T. H. Hubbing, dan T. P. Van Doren, “FDTD Modelling of Thin Wires for Simulating Common-Mode Radiation from Structures with Attached Cables,” Proceeding of IEEE International Symposium on Electromagnetic Compatibility, 1995, hal. 168–173.
N. Dib, T. Weller, dan M. Scardelltti, “Analysis of 3-D Cylindrical Structures Using the Finite Difference Time Domain Method,” Proceeding of International Microwave Symposium Digest, 1998, hal. 925–928.
M. F. Hadi, A.Z. Elsherbeni, “Numerical Dispersion and Stability for Three-Dimensional Cylindrical FDTD Near the Axis of Rotation,” Proceeding of 11th European Conference on Antenna and Propagation (EUCAP), 2017, hal. 936–938.
N. H. Shabrina, A. Munir, “Analysis of Wave Characteristic Between Cylindrical and Cartesian System-Based Structure Using FDTD Method,” Proceeding of 9th International Conference on Telecommunication Systems Services and Applications (TSSA), 2015, hal. 1–6.
U. S. Inan dan R. A. Marshall, Numerical Electromagnetics: The FDTD Method, NY: Cambridge University Press, 2011.
A. Munir dan Edwar, “Computational Approach for Resonant Frequency Calculation of Coaxial Cavity Resonator Using Cylindrical Coordinate System-based FDTD Method,” Proceeding of 14th International Conference on Quality in Research (QiR), 2015, hal. 73–76.
A. D. Setiawan, H. Nusantara dan A. Munir, “Resonant Frequency Computation of Dielectric Material Loaded Circular Waveguide Using Cylindrical Coordinate System-Based FDTD Method,” Proceeding of 5th International Conference on Electrical Engineering and Informatics (ICEEI), 2015, hal. 314–317.
A. Munir dan B. T. Ranum, “Cylindrical Coordinate System-Based Full Wave FDTD Computation for Resonant Frequency Calculation of Circular Cavity Resonator,” Proceeding of 1st International Conference on Wireless and Telematics (ICWT), 2015, hal. 1–4.
R. Rahmatillah, Chairunisa, dan A. Munir, “Numerical Analysis for Wave Propagation in Circular Waveguide Using Cylindrical Coordinate System-Based FDTD Method,” Proceeding of International Conference of Advance Informatics: Concept, Theory and Application (ICAICTA), 2014, hal. 209–213.
R. E. Collin, Field Theory of Guided Waves 2nd ed., NY: John Wiley & Sons, 1991.
© Jurnal Nasional Teknik Elektro dan Teknologi Informasi, under the terms of the Creative Commons Attribution-ShareAlike 4.0 International License.