Reflection and transmission of a Hermite–Gaussian beam incident upon a curved dielectric layer

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Abstract
The reflection and transmission of a Hermite-Gaussian beam at a curved dielectric layer is investigated theoreticallyand systematically by using the complex ray technique. A Hermite-Gaussian beam field is expressed in terms of a superposition of a finite number of complex-source-point multipole fields. With the use of the asymptotic approximation for the multipole fields, the complex ray analysis of a higher-order beam field is treated. The power conservation among the incident, reflected, and transmitted fields is considered, and the beam parameters of the transmitted field are also discussed numerically.

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