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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
Author
Benqing Gao, Beijing Institute of Technology, School of Information Science and Technology, Beijing, China
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Abstract
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.
Keywords
Frequency Domain to Time Domain Trasformation, Laplace Transformation, Algebraical Superposition Technic, Rectangular Wavwguide TE10 Mode, Time-frequency Union Value
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
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