Abstract
We theoretically study the optical parametric amplification (OPA) process seeded by a Laguerre–Gaussian (LG) mode. Based on the nonlinear coupled-wave equations, we analyze the overlap integral among interacting LG beams, which presents the selection laws for the azimuthal and radial indices of a pure LG mode in the OPA process. In the numerical simulations, we demonstrate the amplification of an LG01 mode as an example with high purity and high gain. Our results provide a potential way to efficiently amplify an LG mode for optical communications.
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