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Fields of a focused linearly polarized Gaussian beam: truncated series versus the complex-source-point spherical-wave representation

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Abstract

Fields of a linearly polarized fundamental Gaussian beam are derived exactly using the propagation characteristics of a complex-source-point spherical wave diverging from the origin. Intensity distributions are calculated and compared with their counterparts in a truncated series. It is found that utility of the exact fields is limited by a discontinuity inherent in the vector potential from which they have been obtained.

© 2009 Optical Society of America

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