Abstract
The wave equations for an ultrashort tightly-focused laser pulse in Hermite–Gaussian (0,0) mode are solved approximately. We obtain the analytical field expressions, which are exact up to the second order of the parameters 1/(k0L) and 1/(k0w0) (k0 is the laser wave number, w0 the laser beam waist, and L the laser pulse length). Our solutions can be reduced to usual paraxial ones naturally and more precise compared with the usual paraxial ones.
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