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 email@example.com
Accepted: 22 August 1998
Published online: 15 November 1998
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.
PACS: 03.40.Kf – Waves and wave propagation: general mathematical aspects
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 1998