Far-field properties and beam quality of vectorial Hermite–Laguerre–Gaussian beams beyond the paraxial approximation |
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| Authors: | Xiaoping Kang Zhong He Baida Lü |
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| Institution: | aInstitute of Laser Physics and Chemistry, Sichuan University, Chengdu 610064, China;bDepartment of Physics Qiong Zhou University, Wuzhishan 572200, China |
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| Abstract: | The far-field properties and beam quality of vectorial nonparaxial Hermite–Laguerre–Gaussian (HLG) beams are studied in detail, where, instead of the second-order-moments-based M2 factor, the extended power in the bucket (PIB) and βparameter are used to characterize the beam quality in the far field and the intensity in the formulae is replaced by the z component of the time-averaged Poynting vector  Sz . It is found that the Sz PIB and βparameter of vectorial nonparaxial HLG beams depend on the mode indices n, m, αparameter and waist-width-to-wavelength ratio w0/λ and the PIB and βparameter are additionally dependent on the bucket's size taken. |
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| Keywords: | Vectorial nonparaxial Hermite– Laguerre– Gaussian (HLG) beam z-Component of the time– averaged Poynting vector Power in the bucket (PIB) |
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