Propagation and focusing of nonparaxial Gaussian beams with spherical wavef
ront in a graded-index medium are investigated using quantum-theoretical me
thod of coherent states. Explicit expressions for the trajectory and width
of a beam taking into account all correction terms to the paraxial approxim
ation have been obtained. Electromagnetic field distributions in longitudin
al and lateral directions are simulated. Diffraction of strongly focused hi
gh-aperture wave beams is investigated theoretically. The ratio of intensit
ies of evanescent and propagating fields is calculated for different values
of focused spot. (C) 2001 Optical Society of America.