American Journal of Mathematical and Computer Modelling

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Mathematical and Computer Simulation of Pulses Interaction

Received: 13 February 2018    Accepted: 10 April 2018    Published: 07 May 2018
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Abstract

The paper presents the results of mathematical and computer simulation of the interaction of radio pulses of an arbitrary nature. Pulses of a rectangular and Gaussian shape are considered. We also consider the evolution of the wave packet formed as a result of the decay of the bound quantum state. The main reason for the distortion of the pulse shape is the interaction of narrow-band spectral components of pulses.

DOI 10.11648/j.ajmcm.20180301.13
Published in American Journal of Mathematical and Computer Modelling (Volume 3, Issue 1, March 2018)
Page(s) 22-26
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Рulse, Narrowband Component, Fourier-Harmonics, Dispersion, Pulse Distortions

References
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[2] Verbin Yu. P., On the estimation of the speed of propagation of a radio signal//Radiotechnica i Electronica .-1995.- V. 40, № 8, p. 1169–1176,(Russian).
[3] Vakman D. E., On fast oscillations of the parameters of oscillations// Radiotechnica i Electronica.-1986, V. 31, № 7, p. 1459-1462,(Russian).
[4] Zayko Yu. N., The history of one "artifact"// Proc. of the Saratov State University, ser. Physics, 2012, V. 12, № 1, p. 3-12, (Russian).
[5] Vainshtein L. A., Vakman D. E., Amplitude, phase, frequency - the basic concepts of the theory of oscillations//Uspehi Fizicheskih Nauk, 1977, V. 123, №. 4, p. 657-682, (Russian).
[6] Landau L. D. & Lifshitz E. M., Quantum Mechanics (Volume 3 of A Course of Theoretical Physics ) Pergamon Press, 1965.
[7] Johler J. T., The Propagation Time of a Radio Pulse// IEEE Trans., 1963, Vol. AP-11, P. 661-668.
[8] Strelkov G. M., Propagation of a Radio Pulse in Isotropic Plasma// Radiotechnica i Electronica.-2006, V. 51, p. 672-682, (Russian).
[9] Srtelkov G. M., Complex Radio Signal in Ionospheric Plasma// Radiotechnica i Electronica.-2008, V. 53, № 1, p. 1094-1103, (Russian).
[10] Srtelkov G. M., Naryshkin V. I., Propagation of a Radio Pulse with Linear Frequency Modulation in Isotropic Plasma// Radiotechnica i Electronica.-2008, V. 53, № 1, p. 49-57, (Russian).
[11] Shvartsburg A. B., Impulse electrodynamics of nonharmonic signals//Uspehi Fizicheskih Nauk, 1994, V. 164, № 3, P. 333-335 (Russian).
[12] Shvartsburg A. B., Video Pulses and Non-Periodic Waves in Dispersive Media (exactly solvable models)//Uspehi Fizicheskih Nauk, 1998, V. 168, № 1, P. 85-103 (Russian).
[13] Zayko Yu. N., Frequency Modulation of the Filling of a Radio Pulse Propagating in a Waveguide//Izvestia Vyzov: Radiofizika, 1989, V. 32, № 12, P. 1558-1560 (Russian).
[14] Zayko Yu. N., Mezhuev D. I., Propagation of a Rectangular Radio Pulse with Linear Frequency Modulation in a Dispersive Medium// Technical Physics Letters, 1991, V. 17, № 17, P. 50-53.
[15] Zayko Yu. N., The Geometrical Phase of Modulated Waves, Propagating in Dispersive Media//Applied Math. Letters, 1997, V. 10, № 5, P. 75-78.
[16] Zayko Yu. N., Interaction of Narrow-Band Signal Components and Complex Behavior of PDE Characteristics in x,t-plane//Proc SPIE, 2006, V. 6165, P. i06.
Author Information
  • Department of Applied Informatics, Faculty of Public Administration, the Russian Presidential Academy of National Economy and Public Administration, Saratov Branch, Saratov, Russia

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    Yuriy Zayko. (2018). Mathematical and Computer Simulation of Pulses Interaction. American Journal of Mathematical and Computer Modelling, 3(1), 22-26. https://doi.org/10.11648/j.ajmcm.20180301.13

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    ACS Style

    Yuriy Zayko. Mathematical and Computer Simulation of Pulses Interaction. Am. J. Math. Comput. Model. 2018, 3(1), 22-26. doi: 10.11648/j.ajmcm.20180301.13

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    AMA Style

    Yuriy Zayko. Mathematical and Computer Simulation of Pulses Interaction. Am J Math Comput Model. 2018;3(1):22-26. doi: 10.11648/j.ajmcm.20180301.13

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      author = {Yuriy Zayko},
      title = {Mathematical and Computer Simulation of Pulses Interaction},
      journal = {American Journal of Mathematical and Computer Modelling},
      volume = {3},
      number = {1},
      pages = {22-26},
      doi = {10.11648/j.ajmcm.20180301.13},
      url = {https://doi.org/10.11648/j.ajmcm.20180301.13},
      eprint = {https://download.sciencepg.com/pdf/10.11648.j.ajmcm.20180301.13},
      abstract = {The paper presents the results of mathematical and computer simulation of the interaction of radio pulses of an arbitrary nature. Pulses of a rectangular and Gaussian shape are considered. We also consider the evolution of the wave packet formed as a result of the decay of the bound quantum state. The main reason for the distortion of the pulse shape is the interaction of narrow-band spectral components of pulses.},
     year = {2018}
    }
    

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    AB  - The paper presents the results of mathematical and computer simulation of the interaction of radio pulses of an arbitrary nature. Pulses of a rectangular and Gaussian shape are considered. We also consider the evolution of the wave packet formed as a result of the decay of the bound quantum state. The main reason for the distortion of the pulse shape is the interaction of narrow-band spectral components of pulses.
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