Eur. Phys. J. B 6, 163-165 (1998)
https://doi.org/10.1007/s100510050538

Invariable-profile wavefunctions and Brittingham's focus wave modes

Institute of Physics, St. Petersburg University, Ulyanovskaya 1, Petrodvorets, St. Petersburg 198904, Russia

Corresponding author: ^a boris@snoopy.phys.spbu.ru

Received: 14 May 1998
Accepted: 22 August 1998
Published online: 15 November 1998

Abstract

A family of invariable-profile wavefunctions is constructed. The relations found describe both transient and steady-state waves. The Gauss and Bessel-Gauss focused waves of order m can be obtained from these steady-state waves via Bateman's transformation.