Izvestiya of Saratov University.

Physics

ISSN 1817-3020 (Print)
ISSN 2542-193X (Online)

For citation:

Davidovich M. V. About the envelope of the wave packet (pulse). Izvestiya of Saratov University. Physics , 2025, vol. 25, iss. 2, pp. 242-254. DOI: 10.18500/1817-3020-2025-25-2-242-254, EDN: ILZMKE

This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
Published online: 
30.06.2025
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Language: 
Russian
Heading: 
Methodical department
Article type: 
Article
UDC: 
537.8:537.9:621.371
DOI: 
10.18500/1817-3020-2025-25-2-242-254
EDN: 
ILZMKE

About the envelope of the wave packet (pulse)

Autors: 
Davidovich Mikhail Vladimirovich, Saratov State University
Abstract: 

Background and Objectives: The methodological work considers the issues of the velocities and times of propagation of wave packets (pulses) through a medium layer of thickness d with dispersion. Methods: The spectral method of numerical calculation of the wave packet is used, taking into account the dispersion of the dielectric constant. Results: It has been shown that the output pulse appears no earlier than after time d/c, while it weakens and expands with the formation of a tail. Tunneling through a plasma layer has been numerically investigated, while no Hartmann-type tunneling paradoxes have been observed.

Key words: 
wave packet
pulse
envelope
dispersion
group velocity
tunneling
Hartman’s paradox
Acknowledgments: 
The work is partially supported by the Russian Science Foundation (project No. 16-19-10033) and by the Ministry of Science and Higher Education of the Russian Federation within the framework of the State Task (No. FSRR-2023-0008).
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Received: 
20.05.2024
Accepted: 
20.06.2024
Published: 
30.06.2025
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