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. (C) 2003 Optical Society of America. [References: 12]
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机译：结果表明，Lax等人提出的方法。 [物理[Rev. A 11，1365（1975）]用于研究电磁束超出近轴近似的传播，即使所考虑的光束呈现出非常近轴的特性，也可以有效地采用。我们现在提出的方法是将非线性恢复方案（即所谓的delta变换）应用于由Lax方案引起的发散微扰级数。对于矢量高斯光束的特殊情况，给出了与电场的横向和纵向分量评估有关的数值结果，表明了该方法的有效性。 （C）2003年美国眼镜学会。 [参考：12]
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