双曲正弦-高斯型超短脉冲光束及其传输特性

在傍轴近似条件下,给出了一组超短脉冲光束的解析解,称为双曲正弦-高斯型超短脉冲光束.对这种超短脉冲光束及其在自由空间中的传输过程进行了较为细致的研究.结果表明双曲正弦-高斯型超短脉冲光束光强的横向分布在脉冲中部为双曲正弦-高斯型,而在脉冲头部和尾部则为高斯型,该脉冲光束的脉冲波形在传输中始终为双曲正弦-高斯型.该脉冲在轴上传输时有脉冲极性反转现象,在轴外有脉冲延迟现象.

Hyperbolic-Sine-Gaussian Ultrashort Pulsed Beams and the Propagation Properties

A family of solutions of the paraxial wave equation is found in theory, which represents a new family of ultrashort pulsed beams called Hyperbolic-sine-Gaussian ultrashort pulsed beams. The Hyperbolic-sine-Gaussian ultrashort pulsed beams and their propagation properties in free space have been studied in detail. The transversal intensity distribution of Hyperbolic-sine-Gaussian ultrashort pulsed beams is a hyperbolic sine Gaussian shape in the center of the pulse, and is a Gaussian shape at the tail or head of the pulse. The pulse shape is always hyperbolic-sine-Gaussian in propagation. In propagation the polarity reversal appears on axis, and the pulse time delay appears at the beam periphery.