Journal of Radio Electronics. eISSN 1684-1719. 2025. №12

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DOI: https://doi.org/10.30898/1684-1719.2025.12.13

ABOUT THE SUPERLUMINAL GROUP VELOCITY

OF A VIDEO SIGNAL IN AN AMPLIFYING MEDIUM

N.S. Bukhman, S.N. Bukhman

Samara State Technical University

443100, Samara, Molodogvardeyskaya str., 244

The paper was received August 21, 2025.

Abstract. It is shown that holomorphic (infinitely differentiable) video signals of sufficient duration are, in principle, capable of propagating in an environment with population inversion (and gain dominance over absorption at least at low frequencies) without significant distortion and significant amplification at a superluminal group velocity. The practical implementation of this effect is limited not so much by the distortion or amplification of the video signal itself, as by the maximum size (and amplification of extraneous signals at the maximum gain frequency) of actually existing active media. At best, with reasonable amplification coefficients of real-world active media, one can hope for the amount of time ahead of the vacuum speed of light by the video signal on the order of its own duration.

Key words: video signal, group speed, superluminal group speed.

Corresponding author: Bukhman Nikolay Sergeevich, e-mail: nik3142@yandex.ru

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For citation:

Bukhman N.S. Bukhman S.N. About the superluminal group velocity of a video signal in an amplifying medium // Journal of Radio Electronics. – 2025. – №. 12. https://doi.org/10.30898/1684-1719.2025.12.13 (In Russian)