Description of Diffraction and Focusing of Ultrashort Pulses
on the Basis of a Nonstationary Kirchhoffframe0Sommerfeld Method

E. M. Mikhaframe1lov and P. A. Golovinskiframe2*

Voronezh State Architecture and Civil Engineering Academy, Voronezh, 394006 Russia
*e-mail: golovinsk@phys.vgasa.voronezh.su

Received April 12, 1999

Abstract—The scalar problem of the propagation of a plane-wave pulse behind a diaphragm is solved. The cal-
culation is performed on the basis of the nonstationary Kirchhoff–Sommerfeld integral and decomposition of
the pulse in terms of wavelets. Two types of diaphragms, circular and square, are studied. The propagation of a
pulse under focusing conditions is calculated. The Green’s function of the diffraction problem for a circular
opening with and without aberration-free focusing is constructed. © 2000 MAIK “Nauka/Interperiodica”.


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