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Shock structure for electromagnetic waves in bianisotropic, nonlinear materials
Author(s) -
Sjöberg Daniel
Publication year - 2003
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 - 10.1029/2001rs002578
Subject(s) - shock wave , smoothing , electromagnetic radiation , perturbation (astronomy) , physics , nonlinear system , shock (circulatory) , mathematical analysis , partial differential equation , mechanics , wave propagation , classical mechanics , mathematics , optics , medicine , statistics , quantum mechanics
Shock waves are discontinuous solutions to quasi‐linear partial differential equations and can be studied through a singular perturbation known as the vanishing viscosity technique. The vanishing viscosity method is a means of smoothing the shock, which we use to study the case of electromagnetic waves in bianisotropic materials. We derive the conditions arising from this smoothing procedure for a traveling wave, and the waves are classified as fast, slow, or intermediate shock waves.