Propagation of time-truncated Airy-type pulses in media with quadratic and cubic dispersion

Author(s)

Borda-Hernandez, Jose A. ^[1] ; Zamboni-Rached, Michel ^[2] ; Shaarawi, Amr ^[3] ; Besieris, Ioannis M. ^[4]

Affiliation

^[1] Univ Estadual Campinas, FEEC, Sao Paulo - Brazil

^[2] Univ Toronto, Dept Elect & Comp Engn, Toronto, ON - Canada

^[3] Amer Univ Cairo, Dept Phys, New Cairo - Egypt

^[4] Virginia Polytech Inst & State Univ, Bradley Dept Elect & Comp Engn, Blacksburg, VA 24060 - USA

• Document type: Journal article
• Source: JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION; v. 32, n. 10, p. 1791-1796, OCT 1 2015.
• Web of Science Citations: 2

Abstract

In this paper, we describe analytically the propagation of Airy-type pulses truncated by a finite-time aperture when second-and third-order dispersion effects are considered. The mathematical method presented here, which is based on the superposition of exponentially truncated Airy pulses, is very effective and allows us to avoid the use of time-consuming numerical simulations. We analyze the behavior of the time-truncated ideal Airy pulse and also the interesting case of a time-truncated Airy pulse with a ``defect{''} in its initial profile, which reveals the self-healing property of this kind of pulse solution. (C) 2015 Optical Society of America (AU)

• FAPESP's process: 13/26437-6 - Non-diffracting waves in dispersive absorbing media
• Grantee: Michel Zamboni Rached
• Support Opportunities: Scholarships abroad - Research