Transmission of electromagnetic waves into time-varying media

Propagation of Optical Pulses in Dynamic Media: A Time Transformation Method

“…The temporal boundary value problem was considered by Fante in Ref. [8], where expressions for the electromagnetic fields transmitted into a time-varying medium for a plane wave incident upon both on a non-dispersive and dispersive dielectric half-space were obtained. Especially, solutions were obtained for the case when the medium was changed in a stepwise fashion, and also for the case when the medium varied slowly and continuously.…”

“…Using a nonlinear transformation (or mapping) of the time t ′ of a temporal slice time to a new time 8) where E ′ (t 1 ) = E in (t ′ ) and the Jacobian of this transformation is given by…”

Loss compensation in time-dependent elastic metamaterials

“…The amplification properties of timedependent media have been of interest for at least 60 years. The early studies focused on the parametric amplification in electrical transmission lines with time-varying inductance [15,16] or capacitance [17,18] and on wave propagation through * dtorrent@uji.es dielectric media with time-varying properties [19,20]. More recent studies have considered both time-varying mechanical and time-varying electromagnetic materials [17,[21][22][23][24][25].…”

On Maxwell's equations in non-stationary media

“…Investigation of wave behaviour in transient media started from theoretical works by Felsen (Felsen & Whitman 1970) and Fante (1971), where they studied electromagnetic waves under the influence of step-like time jump in media permittivity. Their main result, which is the key to understanding field behaviour under temporal variations in media, and which is often not obvious for those who do not deal with this subject, is in that after the abrupt change in permittivity the incident wave splits into direct and inverse ones.…”