余弦高斯光束在梯度折射率介质中的传输特性
Propagation properties of cosine-Gaussian beams in gradient-index medium
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摘要: 为了研究光束在梯度折射率介质中的传输规律，利用广义惠更斯-菲涅耳衍射积分法，推导出余弦高斯光束在梯度折射率介质中传输的解析表达式，对余弦高斯光束在梯度折射率介质中的传输特性进行了分析，并进一步讨论了介质梯度折射率系数和调制参数对传输特性的影响。结果表明，余弦高斯光束在梯度折射率介质中传输时,轴上光强分布呈现周期性变化,横向光强分布受梯度折射率系数和调制参数影响较大。余弦高斯光束传输时具有不稳定性，通过适当调节参数,可在空间某位置实现余弦高斯光束的整形。Abstract: Using the method of generalized Huygens-Fresnel diffraction integral, this paper deduces the analytical expression of cosine-Gaussian beams propagating in a gradient-index medium, and analyzes the corresponding propagation properties of cosine-Gaussian beams. The influence of the medium’s gradient-index parameter and the modulation parameter on the propagation properties is also discussed. The results show that the intensity of cosine-Gaussian beams propagating in a gradient-index medium varies periodically on axis. The transverse intensity distribution is largely influenced by the modulation parameter. The transmission of cosine-Gaussian beams is unstable, but the cosine-Gaussian beams can be reshaped through appropriately adjusting the modulation parameter at some spatial position.
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