Introduction to the Quantum Theory of Distortion and Delay Satellite Radio Signals

G. V. Golubkov*, M. I. Manzhelii, L. V. Eppelbaum

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


The foundations of the quantum theory of distortion and delay of GPS satellite signal passing through D and E atmospheric layers are expound. The problem reduces to the resonant scattering of photons moving in the electromagnetic field of the signal on Rydberg complexes populated in a two-temperature nonequilibrium plasma. The processes of creation of additional photons as a result of stimulated emission and resonance scattering of photons are considered. In the present work, the quantum theory of the propagation of a satellite signal in the upper atmosphere of the Earth was proposed for the first time. The general questions of the theory and possible consequences are discussed. It is shown that the processes occurring here are directly related to the resonant quantum properties of the medium propagation. The first process leads to a direct increase in the power of the received signal, and the second to a shift in the signal carrier frequency and the time delay of its propagation. This occurs because of the scattering of the Rydberg electron by the ion core and the neutral medium molecule in the intermediate autoionization states of the composite system populated by the strong non-adiabatic coupling of electron and nuclear motions. Determination of the relationship between the frequency shift Δν and delay time Δτ of a satellite signal with quantum dynamics inside the Rydberg complex А**М is the general purpose of this paper.

Original languageEnglish
Pages (from-to)549-553
Number of pages5
JournalRussian Journal of Physical Chemistry B
Issue number3
StatePublished - 1 May 2018


  • D and E layers of the atmosphere
  • Rydberg complex
  • distortion and signal delay
  • electromagnetic field
  • resonant photon scattering
  • satellite radio signal


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