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Nezhad Mohammad, A.M., Abdipour, P., Bababeyg, M., Noshad, H.. (1394). Derivation of Green’s Function for the Interior Region of a Closed Cylinder. نشریه مهندسی عمران امیرکبیر, 46(2), 23-33. doi: 10.22060/eej.2015.511
A.M. Nezhad Mohammad; P. Abdipour; M. Bababeyg; H. Noshad. "Derivation of Green’s Function for the Interior Region of a Closed Cylinder". نشریه مهندسی عمران امیرکبیر, 46, 2, 1394, 23-33. doi: 10.22060/eej.2015.511
Nezhad Mohammad, A.M., Abdipour, P., Bababeyg, M., Noshad, H.. (1394). 'Derivation of Green’s Function for the Interior Region of a Closed Cylinder', نشریه مهندسی عمران امیرکبیر, 46(2), pp. 23-33. doi: 10.22060/eej.2015.511
Nezhad Mohammad, A.M., Abdipour, P., Bababeyg, M., Noshad, H.. Derivation of Green’s Function for the Interior Region of a Closed Cylinder. نشریه مهندسی عمران امیرکبیر, 1394; 46(2): 23-33. doi: 10.22060/eej.2015.511

Derivation of Green’s Function for the Interior Region of a Closed Cylinder

AUT Journal of Electrical Engineering
مقاله 4، دوره 46، شماره 2، زمستان 2014، صفحه 23-33  XML اصل مقاله (901 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22060/eej.2015.511
نویسندگان
A.M. Nezhad Mohammad1؛ P. Abdipour1؛ M. Bababeyg1؛ H. Noshad* 2
1BSc. Student, Department of Electrical Engineering, Amirkabir University of Technology, Tehran, Iran
2Assistant Professor, Department of Energy Engineering and Physics, Amirkabir University of Technology, Tehran, Iran
چکیده
The importance of constructing the appropriate Green function to solve a wide range of problems inelectromagnetics and partial differential equations is well-recognized by those dealing with classical electrodynamics and related fields. Although the subject of obtaining the Green function for certain geometries has been extensively studied and addressed in numerous sources, in this paper a systematic method using the Method of Separation of Variables has been employed to scrutinize the Green function with Dirichlet boundary condition for the interior region of a closed cylinder. With further rigorous elaboration, we have demonstrated clearly the path through which the Green function can be accomplished. Additional verifications both in analytical and computer-simulating problems have also been performed to demonstrate the validity of our analysis.
کلیدواژه ها
Cylindrical Green’s Function؛ Electrostatic Potential؛ Poisson’s Equation. 
عنوان مقاله [English]
Derivation of Green’s Function for the Interior Region of a Closed Cylinder
نویسندگان [English]
A.M. Nezhad Mohammad, P. Abdipour, M. Bababeyg, H. Noshad
چکیده [English]
The importance of constructing the appropriate Green function to solve a wide range of problems inelectromagnetics and partial differential equations is well-recognized by those dealing with classical electrodynamics and related fields. Although the subject of obtaining the Green function for certain geometries has been extensively studied and addressed in numerous sources, in this paper a systematic method using the Method of Separation of Variables has been employed to scrutinize the Green function with Dirichlet boundary condition for the interior region of a closed cylinder. With further rigorous elaboration, we have demonstrated clearly the path through which the Green function can be accomplished. Additional verifications both in analytical and computer-simulating problems have also been performed to demonstrate the validity of our analysis.
کلیدواژه ها [English]
Cylindrical Green’s Function, Electrostatic Potential, Poisson’s Equation. 
مراجع
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A.Ye. Svezhentsev et al.,” Green’s Functions for Probe-Fed Arbitrary-Shaped Cylindrical Microstrip Antennas”, Antennas and Propagation, IEEE Transaction on, 63: pp. 993-1003, 2015.
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Abramowitz M., Stegun I.A., “Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables”, Dover Publications, 1972

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