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So far, the elegant Hermite-Gaussian (EHG) beams and cosh-Gaussian (ChG) beams have been studied in detail, respectively. In this present paper, a more generalized beam containing this two beams is introduced and studied. Just as the more generalized cases for the standard Hermite-Gaussian (SHG) beams and ChG beams are called Hermite-cosh-Gaussian (HChG) beams, the more generalized cases for EHG beams...
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