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.

Summing Lax series for nonparaxial beam propagation

SANTARSIERO, Massimo
2003

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.
Borghi, R., Santarsiero, M. (2003). Summing Lax series for nonparaxial beam propagation. OPTICS LETTERS, 28(10), 774-776.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11590/114254
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