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Rayleigh range and the M-2 factor for Bessel-Gauss beams

机译:贝塞尔-高斯光束的瑞利范围和M-2因子

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摘要

The M-2 factor of Bessel-Gauss beams derived by Borghi and Santarsiero [Opt. Lett. 22, 262-264 (1997)] is shown to predict the e(-2) axial position rather than the half-intensity position of the on-axis intensity as the Rayleigh range divided by M-2 for large values of k(t)w(0). For small values of k(t)w(0), the half-intensity axial position of the J(0) Bessel-Gauss beam is the Rayleigh range divided by M-2. Also, the ratio of the half-intensity lengths of J(0) Bessel-Gauss and comparable Gaussian beams having the same radial size of their central regions is shown to be M-2/1.3. For equal input powers and large k(t)w(0), the values of peak intensity times effective range for J(0) Bessel-Gauss beams is a constant and is a factor of 1.3 larger than the corresponding product for the comparable simple Gaussian beam. (C) 1998 Optical Society of America. [References: 14]
机译:Borghi和Santarsiero推导的Bessel-Gauss光束的M-2因子[Opt。来吧[22,262-264(1997)]显示为预测k(t)值的e(-2)轴向位置而不是轴上强度的半强度位置,因为瑞利范围除以M-2 )w(0)。对于较小的k(t)w(0)值,J(0)贝塞尔-高斯光束的半强度轴向位置是瑞利范围除以M-2。同样,J(0)贝塞尔-高斯和具有相同中心区域径向尺寸的可比高斯光束的半强度长度之比显示为M-2 / 1.3。对于相等的输入功率和较大的k(t)w(0),J(0)贝塞尔高斯光束的峰值强度乘以有效范围的值是一个常数,比可比较的简单乘积的对应乘积大1.3倍。高斯光束。 (C)1998年美国眼镜学会。 [参考:14]

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