Focusing of a Gaussian Schell-model Beam Through a Circular Lens

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Abstract
On the basis of the generalized Huygens–Fresnel diffraction integral and the theory of partially coherent light, the field characteristics of a Gaussian Schell-model (GSM) beam focused by a circular lens in both unapertured and apertured cases, including the axial intensity distributions and focal shift, are studied in detail and illustrated numerically. It has been shown that the focal shift of GSM beams varies depending not only on the Fresnel number and truncation parameter, but also on the coherent parameter in general.

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