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.
Published in | American Journal of Mathematical and Computer Modelling (Volume 3, Issue 1) |
DOI | 10.11648/j.ajmcm.20180301.13 |
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), 2018. Published by Science Publishing Group |
Рulse, Narrowband Component, Fourier-Harmonics, Dispersion, Pulse Distortions
[1] | Ginzburg V. L., Electromagnetic Waves Propagation in Plasma. 1964. (N. Y.: Pergamon Press). |
[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. |
APA Style
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
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
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
@article{10.11648/j.ajmcm.20180301.13, 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://article.sciencepublishinggroup.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} }
TY - JOUR T1 - Mathematical and Computer Simulation of Pulses Interaction AU - Yuriy Zayko Y1 - 2018/05/07 PY - 2018 N1 - https://doi.org/10.11648/j.ajmcm.20180301.13 DO - 10.11648/j.ajmcm.20180301.13 T2 - American Journal of Mathematical and Computer Modelling JF - American Journal of Mathematical and Computer Modelling JO - American Journal of Mathematical and Computer Modelling SP - 22 EP - 26 PB - Science Publishing Group SN - 2578-8280 UR - https://doi.org/10.11648/j.ajmcm.20180301.13 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. VL - 3 IS - 1 ER -