The behavior of electromagnetic localized waves at a planar interface

Acoustic X-wave reflection and transmission at a planar interface: Spectral analysis

“…Furthermore, one should note that in earlier investigations the case of infinite energy FWMs has been considered instead of X-waves. 22,23 No attempt has been made at this stage to provide comparisons with recent work on the transmission and reflection of pulsed beams. 24,25 The latter are paraxial ultra-wide-band solutions to the scalar wave equation or Maxwell's equations, whereas X-waves are exact ones.…”

“…Hillion's results have been criticized by Donnelly and Power. 23 They have used a geometrical approach to prove that the transmitted waveform of the twodimensional FWM does not have a LW structure. In their approach, LW solutions are represented in the form of a space-time Fourier transform whose domain is constrained to a specific geometrical support.…”

“…A similar problem has been investigated previously in two different papers. 22,23 In both cases, the authors used a two-dimensional variation of the Brittingham's FWM electromagnetic solution. In the first paper, Hillion has argued that FWMs are transmitted across a discontinuity surface only if they are normally incident on that surface, while for oblique incidence only reflection takes place.…”

Reflection and transmission of full-vector X-Waves normally incident on dielectric half spaces

“…The reflection and transmission of obliquely incident TE LWs were first investigated in [4]. The study considered only a two-dimensional representation of LWs with backward-propagating components and concluded that an obliquely incident TE LW will disintegrate upon passing through a lossless dielectric interface.…”

“…Since they are free from backward-propagating components, they are more appealing for practical realization than the other types of LWs, and thus have been extensively studied in the literature (see [2] for a historical review). For constructing electromagnetic counterparts of scalar X-Waves, single polarization (mostly transverse-electric (TE)-polarization) type of localized solutions to the vector wave equation were considered (see, [3][4][5][6][7][8][9] and references therein). Full-vector X-Waves obtained by superimposing localized TE and transverse magnetic (TM) polarization components were first introduced in [10] and their unusual propagation characteristics were revealed.…”