Abstract
The paper concerns a complexified Green’s function g* for the 2D Helmholtz equation, which is studied as a nonparaxial model of a Gaussian beam. The function g* satisfies a certain nonhomogeneous Helmholtz equation in the real space with a source distribution dependent on a choice of branch of a certain complex square root. Various choices of branch cut are discussed, and the corresponding source distribution is calculated. Bibliography: 13 titles.
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