Passing of gaussian bunch through quadratically-heterogeneous prism
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beamAbstract
Passing of wave bunch is in-process examined through the border of division of homogeneous dielectric with quadratically heterogeneous at arbitrary coal of falling of bunch and arbitrary orientation of axis of heterogeneity.
The parameters of wave bunch are certain in a quadratically-heterogeneous environment. The most substantial parameter of task is a relation of radius of falling bunch in a mouth and radius of own fashion of quadratic environment.
It is shown that the radius of bunch in a quadratic environment at the sloping falling on the border of division changes with a period, the same as well as in case of the normal falling, normal direction of axis of heterogeneity and location of mouth of bunch on the border of division.
At the axial falling on the border of division (a falling bunch spreads along the axis of heterogeneity ) the parameters of wave bunch in a quadratic environment do not depend on the angle of incidence. From the angle of incidence here the coefficients of reflections and refractions depend only.
Thus, a quadratic environment ducts a falling wave bunch, compelling him to spread along the axis of heterogeneity and here the parameters of bunch change periodically.
The radius of wave bunch hesitates between two extreme values that depend on position of mouth, angle of incidence of bunch and orientation of axis of heterogeneity.
At certain terms a mouth appears after a quadratic layer, like that as it is at passing of bunch through a collecting lens with large optical force. A parameter that describes influence of heterogeneity of environment on the change of the divergence of bunch is entered. It is shown that divergence of bunch in a quadratically heterogeneous environment changes periodically.
The radius of wave bunch hesitates between two extreme values, that depend on position of mouth, angle of incidence and orientation of axis of heterogeneity. At certain terms a mouth appears after a quadratic layer, like that, as it is at passing of bunch through a collective lens with large optical force. A parameter that describes influence of heterogeneity of environment on the change of divergence of bunch is entered. It is shown that divergence of bunch in a quadratic environment changes periodically.
References
Fedorov F.I / F.I Fedorov, VV Filippov // Reflection and refraction of light transparent crystals. - Minsk; Science and Technology, 1976.
Goncharenko AM /A.M. Goncharenko //Gaussian beams of light. - Minsk; Science and Technology 1977.
Deschamps J. /J. Deschamps, P. Mast // Coll. "Quasioptics". - Moscaw. World, 1966 - p. 198-209.
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