TY - JOUR
T1 - Electromagnetic fields in dispersive chiral media generated by modulated nonuniformly moving sources
AU - Kravchenko, V. V.
AU - Oviedo-Galdeano, H.
AU - Rabinovich, V. S.
N1 - Funding Information:
The work of Vladislav Kravchenko was partially supported by CONACyT grant 166141, and the work of Vladimir Rabinovich was partially supported by CONACyT grant 179872.
PY - 2013/3
Y1 - 2013/3
N2 - A representation for the fields generated by moving sources in chiral media in the form of double time-frequency oscillating integrals is obtained by using quaternionic analysis methods. Some additional assumptions concerning the source allow us to introduce a large dimensionless parameter λ > 0 which characterizes simultaneously the slowness of variations of the amplitude and of the velocity of the source. Application of the two-dimensional stationary phase method to the integral representation of the field leads to asymptotic formulas for the electromagnetic field for large λ > 0, and efficient formulas for the frequency and the time Doppler effects in dispersive chiral media. As an application of the proposed method, we consider the Vavilov-Cherenkov radiation in chiral dispersive media.
AB - A representation for the fields generated by moving sources in chiral media in the form of double time-frequency oscillating integrals is obtained by using quaternionic analysis methods. Some additional assumptions concerning the source allow us to introduce a large dimensionless parameter λ > 0 which characterizes simultaneously the slowness of variations of the amplitude and of the velocity of the source. Application of the two-dimensional stationary phase method to the integral representation of the field leads to asymptotic formulas for the electromagnetic field for large λ > 0, and efficient formulas for the frequency and the time Doppler effects in dispersive chiral media. As an application of the proposed method, we consider the Vavilov-Cherenkov radiation in chiral dispersive media.
UR - http://www.scopus.com/inward/record.url?scp=84879704960&partnerID=8YFLogxK
U2 - 10.1134/S1061920813010056
DO - 10.1134/S1061920813010056
M3 - Artículo
SN - 1061-9208
VL - 20
SP - 39
EP - 55
JO - Russian Journal of Mathematical Physics
JF - Russian Journal of Mathematical Physics
IS - 1
ER -