平顶高斯光束和超高斯光束传输特性的相似性
Similar propagation property of flattened-Gaussian beams and super-Gaussian beams
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摘要: 在直角坐标系下对平顶高斯光束和超高斯光束的传输特性的相似性问题作了讨论。研究表明,当有相同的M2因子但束宽不同的平顶高斯光束和超高斯光束通过光阑效应可忽略ABCD光学系统传输时,在广义菲涅尔数F相等处有相似的光强分布。对于有光阑和用球差透镜聚焦的情况,若平顶高斯光束和超高斯光束具有相同的M2因子和束腰宽度,则在相同传输距离处仍可得到相似的光强分布。
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关键词:
- 平顶高斯光束 /
- 超高斯光束 /
- 无光阑和有光阑ABCD光学系统 /
- 球差透镜 /
- 传输特性的相似性
Abstract: The similar propagation property of flattened Gaussian beams (FGBs) and super-Gaussian beams (SGBs) is studied i n the rectangular coordinate system. It is shown that two FGB and SGB with the same M2-factor but different waist width exhibit similar intensity distributions at the position of the equal generalized Fresnel number, as they propagate through an unapertured ABCD optical system. For the apertured case and focusing by a spherically aberrated lens, similar intensity profiles at the equal propagation distance can be also obtained, if the two FGB and SGB have the same M2-factor and waist width.
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