科研之友
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摘要
Within the context of an investigation of the potential of functions, which directly or indirectly relate to the Airy functions, to yield solutions of the 2D paraxial wave equation, we consider here the Airy polynomials. We see that appropriate Gaussian-modulated versions of such polynomials, which could in a sense parallel the Hermite-Gaussian wavefunctions of both elegant and standard type, yield, when assumed as initial functions, solutions of the 2D PWE shaping in the form of a complex Gaussian modulation of three-variable Hermite polynomials. A basic characterization of these wavefunctions is provided, having as a touchstone the Hermite-Gaussian wavefunctions.
- 出版日期2012-4
