Regulative Conditions of Existence of Doppler Effect Using Green Function Formalism


  • R El-Bahi



The Doppler shift of the near and far Waves due to the electromagnetic source in motion is investigated. Using the decomposition of Green’s function for the wave in the case of classical oscillating electron motion, it is found that there are some regulative conditions of the phenomena. The present theory proves that the shift is undefined in the adjacent area. Actually, the spectrum of the radiation field in the adjacent area is ambiguous. The current theory establishes a regular Doppler effect in the distant area. Bearing in mind that the propagator coupled with the electric field takes a shifted frequency. Once, the relationship between the far-field frequency, the oscillating dynamic source have been established, the spectrum exists and can be analyzed.


C.Doppler, “Über das farbige Licht der Doppelsterne und einiger anderer Gestirne des Himmels”. Abh.königl.böhm.Ges.Wiss. 2, 465-482 (1843).

Victor C. Chen, “The Micro-Doppler Effect in Radar”. Artech House. 50-79 (2011).

Barrie W. Jones. “The Search for Life Continued: Planets Around Other Stars”. Springer-Praxis books in popular astronomy. 164-165 (2008).

R. El-Bahi, “Adorable reversed field configuration with self-fields effect in a fel” Eur. Phys. J. D, 66, 240 (2012).

R. El-Bahi. M.N. Rhimi, “Self-field effects on electron dynamics in a three-dimensional helical wiggler free-electron laser with axial magnetic field”. Eur. Phys. J. D, 57, 365, (2010).

Igor I. Sobelman. Atomic Spectra and Radiative Transitions. (Springer Series on Atoms+Plasmas 1992)

J. D. Jackson. “Classical Electrodynamics”. 3nd ed. Wiley, 661-668 (1998).

David Erzen, John P. Verboncoeur, Joze Duhovnik and Nikola Jelic. ”S-PARMOS a method for simulating single charged particle motion in external magnetic and electric fields” Int. Jnl. of Multiphysics, 1 , 419-432 (2007).

O. Keller, “Attached and radiated electromagnetic fields of an electric point dipole” J. Opt. Soc. Am. B 6,835-847 (1999).

H. F. Arnoldus, “Transverse and longitudinal components of the optical self-, near-, middle- and far-field”.J. Mod. Optic. 50, 755-770 ( 2003). 11. J. D. Jackson. “Classical Electrodynamics”. 2nd ed, Wiley, New York, 243-244 (1975).



How to Cite

El-Bahi, R. (2017) “Regulative Conditions of Existence of Doppler Effect Using Green Function Formalism”, The International Journal of Multiphysics, 11(2), pp. 187-196. doi: 10.21152/1750-9548.11.2.187.