用由广义惠更斯菲涅耳衍射积分推导出的传输方程详细研究了复宗量拉盖尔·高斯光束及其传输特性。
The elegant Laguerre-Gaussian (L-G) beams and their propagation properties are studied in detail using the propagation equation derived from the generalized Huygens-Fresnel diffraction integral.
使用复解析信号法研究了束宽与频率无关的超短脉冲贝塞尔·高斯光束在自由空间的传输特性。
Using a complex analytical signal representation, the free-space propagation properties of ultrashort pulsed Bessel-Gauss beams whose waist width is independent of frequency are studied.
因此，窄带脉冲光束可以采用复振幅包络和复解析信号两种表示式来研究，而对于宽带脉冲光束，必须采用严格的复解析信号表示式。
It is concluded that both of the representations are applicable to study narrowband pulse, but for broadband pulse only rigorous complex analytical signal representation should be adopted.
本文所得结果具有广泛的意义，因为正弦高斯光束、双曲正弦高斯光束和复宗量正弦高斯光束均可视为其特例。
The results show it is significant that sine-Gaussian beams, sinh-Gaussian beams and elegant sine-Gaussian beams can be regarded as the special cases of elegant sinh-Gaussian beams.
本文所得结果具有广泛的意义，因为正弦高斯光束、双曲正弦高斯光束和复宗量正弦高斯光束均可视为其特例。
The results show it is significant that sine-Gaussian beams, sinh-Gaussian beams and elegant sine-Gaussian beams can be regarded as the special cases of elegant sinh-Gaussian beams.
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