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arXiv 2403.09694math.GMphysics.optics
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单向脉冲:相对无畸变的准球面波、Fourier-Bessel积分与平面波分解

Unidirectional pulses: relatively undistorted quasi-spherical waves, Fourier-Bessel integrals, and plane-waves decompositions

Alexandr B. Plachenov, Aleksei. P. Kiselev

AI总结:

研究一类单向轴对称局域脉冲,证明其准球面波、Fourier-Bessel积分和正向投影平面波叠加三种表示彼此等价。

摘要:

本文对一类单向轴对称局域脉冲给出了理论描述。文中建立了其三种表示形式之间的等价性:相对无畸变准球面波形式、Fourier-Bessel积分形式,以及波矢在给定方向上具有正投影的平面波叠加形式。

英文摘要:

A theoretical description of a class of unidirectional axisymmetric localized pulses, is given. The equivalence of their representations in the form of relatively undistorted quasi-spherical waves, in the form of Fourier-Bessel integrals and in the form of a superposition of plane waves with wave vectors having positive projections on a given direction is established.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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