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Radiation pattern of azimuthally varying scalar Laguerre–Gauss waves

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Abstract

The exact full-wave generalization of the azimuthally varying scalar real-argument Laguerre–Gauss beam is obtained. The radiation intensity of the resulting azimuthally varying real-argument Laguerre–Gauss wave is determined. The main characteristics of the radiation intensity pattern are discussed. The total power Pn,m is determined, where n is the radial mode number and m is the azimuthal mode number. By the use of 1Pn,m, the characteristics of the quality of the paraxial beam approximation to the real-argument Laguerre–Gauss wave are investigated.

© 2007 Optical Society of America

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