By starting from the paraxial wave equation, the analytical expression of the ultrashort Hyperbolic Secant pulsed beam are deduced.
从傍轴波动方程出发，给出了超短双曲正割脉冲光束的解析解。
2
Starting from paraxial wave equation, analytical propagation expressions of hyperbolic secant pulsed beams with narrowband and broadband are derived.
从近轴波动方程出发推导了窄带和宽带双曲正割脉冲光束的解析传输公式。
3
A class of exact solutions of the Dirac equation are obtained for an electron in the electromagnetic field of a wave guide formed by two pairs of hyperbolic cylinders.