The Algebraical Superposition Technic for Transformation from S Domain to Time Domain
American Journal of Modern Physics
Volume 9, Issue 4, July 2020, Pages: 55-59
Received: Jun. 9, 2020;
Accepted: Jul. 7, 2020;
Published: Aug. 17, 2020
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Benqing Gao, Beijing Institute of Technology, School of Information Science and Technology, Beijing, China
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An algebraical superposition technic for transformation from frequency domain to time domain is presented. The establishing model process are; From the inverse Laplace transform integral formula, the integral formula can be expressed by the series with k [-K, K] term., based on integral function distribution properties along integral path, the bidirectional series sum on k [-K, K] term series can be expressed by a monomial trigonomial function series sum on k [0, K]. In the paper the solution process and main points are presented. The application examples are shown; the results are supported to the algebraical superposition technic. In using above algebraical superposition technic to analysis airspace dispersive propagation poperties, i.e., to find out its time-domain parameters, the resultant formula contain time-domain factor and frequency-domain factor, that is first time to present in the paper, so it is called ‚’time-frequency union technic‘. In the paper simultaneity solve out wave number and wave impendance for waveguide TE10 mode propagation, and get both time-frequency union values, and show the soving process and soving accuracy.
Frequency Domain to Time Domain Trasformation, Laplace Transformation, Algebraical Superposition Technic, Rectangular Wavwguide TE10 Mode, Time-frequency Union Value
To cite this article
The Algebraical Superposition Technic for Transformation from S Domain to Time Domain, American Journal of Modern Physics.
Vol. 9, No. 4,
2020, pp. 55-59.
Copyright © 2020 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/
) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Zheng Jun li, Signal and system introduction, Beijing, High education publisher, 2009, p 420-438.
Wu xiang qi, Signal and system (third), Beijing, Electronic industry publisher, 2009, p 338.
Zeng Yu Cun deng, Signal and system (third), Beijing, Beijing Institute of Technology publisher, 2010, p. 266-283.
(USA) R. E. Collin, Translation: Chinese, Hou Yuanqing, Field theory of guided waves, Shanghai Science-technic Publisher, 1960, p 182-184.
Lu Shanwei, Microwave Engineering Foundation, Beijing aviation and spaceflight university publisher, 1995, P. 128-139.
Yan Yun Qing, Li Ying Hui, Micriwave Technic Fondamention (fourth), Beijing Instituteof Technology Publisher, 2011, P. 68-96.
Liang Kun Miao, Mathematic Physic Method, Beijing Education Publisher, 1978, p. 85-99.
Fu Dan University Mathematic Depatment Editor, Mathematic PhysicEquation (second), ShanghaiScience Technic Publisher, 1961, p. 78-94.
Mathematic handbook writing group, Mathematic handbook, Beijing, Pepole education publish, 1979, p. 553-564.
Po Go Neng, Fortran 95 Program Design, Beijinb, China electric power publisher, 2006, p. 562-567.
Ben-Qing Gao, An algebraical superposition technic for transformation from Z domain to time domain, 2018, WJRR, Vol. 6, May, P. 4-7.
Ben-Qing Gao, A new priciple technic for the transformation from frequency to time domain, 2017, AIP Advances 7, 035315, USA..