Abstract
Elegant Hermite–Gaussian beams (EHGBs) are extended to the partially coherent case. An explicit and analytical formula is derived for the cross-spectral density of a partially coherent EHGB propagating through an aligned or misaligned paraxial ABCD optical system. The propagation properties of a partially coherent EHGB in free space and its focusing properties through a thin lens are studied numerically, and are compared to those of a partially coherent standard Hermite–Gaussian beam (SHGB). It is found that the propagation and focusing properties of a partially coherent EHGB are closely related to its initial coherence. A partially coherent EHGB spreads slower than a partially coherent SHGB in free-space propagation. A partially coherent EHGB can be focused more tightly than a partially coherent SHGB.
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Wang, F., Cai, Y., Eyyuboğlu, H.T. et al. Partially coherent elegant Hermite–Gaussian beams. Appl. Phys. B 100, 617–626 (2010). https://doi.org/10.1007/s00340-010-3938-5
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DOI: https://doi.org/10.1007/s00340-010-3938-5