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TM waves in nonlinear self‐focusing media
Author(s) -
Miyagi Mitsunobu,
Nishida Shigeo
Publication year - 1975
Publication title -
radio science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.371
H-Index - 84
eISSN - 1944-799X
pISSN - 0048-6604
DOI - 10.1029/rs010i008p00833
Subject(s) - physics , transverse plane , nonlinear system , mechanical wave , longitudinal wave , rectilinear propagation , transverse wave , plane wave , wave propagation , electromagnetic radiation , love wave , plane (geometry) , transverse magnetic , classical mechanics , quantum electrodynamics , computational physics , mechanics , magnetic field , optics , mathematics , geometry , quantum mechanics , structural engineering , engineering
In this paper, properties of stationary waves of the transverse magnetic (TM) type which have two electric field components, i.e., axial and transverse ones, in a nonlinear self‐focusing medium are discussed. Waves of the TM type are categorized into a solitary wave and several types of waves oscillating in the transverse plane. Analytical expressions of oscillating waves are obtained by using an asymptotic expansion and its extension for the large nonlinearity as well as the small one of the medium. A solitary wave is also discussed numerically, and some differences between the solitary waves of TE and TM types are mentioned.