瞬态波辐射问题近似解与精确解的比较分析

Conference Proceedings 2000 International Conference on Mathematical Methods in Electromagnetic Theory (Cat. No.00EX413) Pub Date : 2000-09-12 DOI:10.1109/MMET.2000.888521

A.N. Dumin, V. Katrich, S. Pivnenko, O. Tretyakov

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引用次数: 5

摘要

采用时域模态基法求解了同轴波导开端瞬态波辐射问题。得到了辐射到自由空间的场和反射到波导内的场的解析表达式，得到了激发tem波振幅与时间的阶跃关系。通过计算Duhamel积分，得到了振幅随时间变化的tem波的解。并将该问题的精确解与基尔霍夫近似的精确解进行了比较。通过实验得到了同轴孔径辐射场的时空依赖关系，验证了理论结果。对理论和实验结果进行了对比分析。

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Comparative analysis of approximate and exact solutions of transient wave radiation problems

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.

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Conference Proceedings 2000 International Conference on Mathematical Methods in Electromagnetic Theory (Cat. No.00EX413)

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