It is shown that the approach proposed by Lax et al. [Phys. Rev. A 11, 1365 (1975)] for studying the propagation of an electromagnetic beam beyond the paraxial approximation can be efficiently employed even when the beam under consideration presents a very nonparaxial character. The met hod that we present consists of applying a nonlinear resummation scheme, the so-called delta trans formation, to the divergent perturbative series arising from the Lax scheme. Numerical results pertinent to the evaluation of transverse and longitudinal components of the electric field are presented for the particular case of vectorial Gaussian beams, showing the effectiveness of the method.
Borghi R, & Santarsiero M (2003). Summing Lax series for nonparaxial beam propagation. OPTICS LETTERS, 28(10), 774-776.
Titolo: | Summing Lax series for nonparaxial beam propagation |
Autori: | |
Data di pubblicazione: | 2003 |
Rivista: | |
Citazione: | Borghi R, & Santarsiero M (2003). Summing Lax series for nonparaxial beam propagation. OPTICS LETTERS, 28(10), 774-776. |
Abstract: | It is shown that the approach proposed by Lax et al. [Phys. Rev. A 11, 1365 (1975)] for studying the propagation of an electromagnetic beam beyond the paraxial approximation can be efficiently employed even when the beam under consideration presents a very nonparaxial character. The met hod that we present consists of applying a nonlinear resummation scheme, the so-called delta trans formation, to the divergent perturbative series arising from the Lax scheme. Numerical results pertinent to the evaluation of transverse and longitudinal components of the electric field are presented for the particular case of vectorial Gaussian beams, showing the effectiveness of the method. |
Handle: | http://hdl.handle.net/11590/114254 |
Appare nelle tipologie: | 1.1 Articolo in rivista |