Please enter verification code
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
Views 184      Downloads 74
Benqing Gao, Beijing Institute of Technology, School of Information Science and Technology, Beijing, China
Article Tools
Follow on us
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
Benqing Gao, 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. doi: 10.11648/j.ajmp.20200904.11
Copyright © 2020 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License ( 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..
Science Publishing Group
1 Rockefeller Plaza,
10th and 11th Floors,
New York, NY 10020
Tel: (001)347-983-5186