Title :
Comparative analysis of approximate and exact solutions of transient wave radiation problems
Author :
Dumin, Alexander N. ; Katrich, Victor A. ; Pivnenko, Sergey N. ; Tretyakov, Oleg A.
Author_Institution :
Kharkov Nat. Univ., Ukraine
Abstract :
The problem of transient wave radiation from open end of a coaxial waveguide is solved by means of the modal basis method in time domain. The analytical expressions of fields radiated into free space and reflected inside the waveguide are obtained for step-wise time dependence of amplitude of the exciting TEM-wave. The solution for exciting TEM-wave with arbitrary time dependence of amplitude is obtained by calculation of Duhamel´s integral. The exact solution of the problem is compared with the same one obtained in Kirchhoff approximation. The spatial and time dependencies of the field radiated from the coaxial aperture are obtained experimentally to examine theoretical results. A comparative analysis of the theoretical and experimental results is made
Keywords :
approximation theory; coaxial waveguides; electromagnetic fields; electromagnetic wave propagation; integral equations; modal analysis; transients; waveguide theory; Duhamel´s integral; EM wave reflection; Kirchhoff approximation; TEM-wave; approximate solution; exact solution; free space radiation; modal basis method; open end coaxial waveguide; radiated fields; spatial dependence; step-wise time amplitude dependence; time domain analysis; transient wave radiation problems; Apertures; Coaxial components; Diffraction; Electromagnetic fields; Electromagnetic propagation; Electromagnetic radiation; Electromagnetic waveguides; Equations; Kirchhoff´s Law; Transient analysis;
Conference_Titel :
Mathematical Methods in Electromagnetic Theory, 2000. MMET 2000. International Conference on
Conference_Location :
Kharkov
Print_ISBN :
0-7803-6347-7
DOI :
10.1109/MMET.2000.888521
