Abstract
The X-wave solutions introduced by Lu and Greenleaf1∓3 have attracted notable attention in the past few years.4–7 These ultra-wideband slowly dispersing fields exhibit extended focus depth and can be very useful in applications ranging from high-resolution imaging, identification of buried objects, remote sensing and secure communication. There have been several studies of the generation of X-waves from finite apertures,1,11,12 as well as studies of their scattering from objects and their transmission through dispersive media and multilayered structures.13–19 Sources for acoustical, optical and microwave X-waves have been constructed and the theoretically predicted behavior of such pulses validated in a number of experiments.2,5,6 The X-wave solution is an ultrawideband superposition of spectral plane wave components traveling along wave vectors restricted to a conic surface characterized by the half-apex (axicon) angle ξ,8–10 In the present work, we demonstrate that highly focused pulses can be shaped by exciting a finite aperture using an extended pulse train of distinct X-waves. The proposed scheme makes use of the fact that the peaks of X-waves, characterized by different axicon angles, travel at different velocities. Consequently, one can choose the initial excitation times of a sequence of several X-waves so that all their peaks meet at an a priori chosen focusing point.
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Shaarawi, A.M., Besieris, I.M. (2003). Focusing of Ultra-Wideband Composite X-Waves. In: Ultra-Wideband, Short-Pulse Electromagnetics 6. Springer, Boston, MA. https://doi.org/10.1007/978-1-4419-9146-1_16
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DOI: https://doi.org/10.1007/978-1-4419-9146-1_16
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