Spatiotemporal behaviors and singularity of ultrashort pulsed Elegant Hermite-Gaussian beams |
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Authors: | Runwu Peng Zhixiang Tang Chujun Zhao Dianyuan Fan |
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Affiliation: | a School of Computer and Communication, Hunan University, Changsha 410082, China b Shanghai Institute of Optics and Fine Mechanics, Chinese Academy of Sciences, P.O. Box 800-211, Shanghai 201800, China |
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Abstract: | Analytical propagation expressions of ultrashort pulsed Elegant Hermite-Gaussian beams are derived and spatiotemporal properties of the pulses with different transverse modes are studied. Singularity of the complex amplitude envelope solution of the pulses obtained under slowly varying envelope approximation is analyzed in detail. The rigorous analytical solution of the pulse is deduced and no singularity emerges in the solution. The obtained results indicate that the transverse mode affects not only the spatiotemporal properties but also the singularity of the pulses. Time delay of the off-axis maximum intensity is more obvious and the singularity is located nearer to the z-axis for the pulse with higher transverse modes. |
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Keywords: | Ultrashort pulse Transverse mode Spatiotemporal coupling Singularity |
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