Skew line ray model of nonparaxial Gaussian beam
نویسندگان
چکیده
منابع مشابه
Scalar field of nonparaxial Gaussian beams.
A family of closed-form expressions for the scalar field of strongly focused Gaussian beams in oblate spheroidal coordinates is given. The solutions satisfy the wave equation and are free from singularities. The lowest-order solution in the far field closely matches the energy density produced by a sine-condition, high-aperture lens illuminated by a paraxial Gaussian beam. At the large waist li...
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A new method for solving the wave equation is presented that is nonparaxial and can be applied to wide-angle beam propagation. It shows very good stability characteristics in the sense that relatively larger step sizes can be taken. An implementation by use of the collocation method is presented in which only simple matrix multiplications are involved and no numerical matrix diagonalization or ...
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A packet of light rays is defined that is equivalent to a Gaussian beam of light. The transformation of the Gaussian beam as it passes through any combination of perfect lenses and flat dielectric interfaces can be found by applying geometric optics to the equivalent ray packet.. The envelope of the ray packet gives the Gaussian beam spot size and the curves perpendicular to the average ray slo...
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Closed form option pricing formulae explaining skew and smile are obtained within a parsimonious non-Gaussian framework. We extend the non-Gaussian option pricing model of L. Borland (Quantitative Finance, 2, 415-431, 2002) to include volatility-stock correlations consistent with the leverage effect. A generalized Black-Scholes partial differential equation for this model is obtained, together ...
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ژورنال
عنوان ژورنال: Optics Express
سال: 2018
ISSN: 1094-4087
DOI: 10.1364/oe.26.003381