High-frequency limit of the Helmholtz equation with variable refraction index
نویسندگان
چکیده
منابع مشابه
Lecture Notes 5 ; Helmholtz Equation and High Frequency Approximations
The Helmholtz equation, ∆u(x) + n(x)ωu(x) = f(x), x ∈ R, (1) is a time-independent linear partial differential equation. The interpretation of the unknown u(x) and the parameters n(x), ω and f(x) depends on what the equation models. The most common areas are wave propagation problems and quantum mechanics, in which case u(x) is the amplitude of a time-harmonic wave and the orbitals for an energ...
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ژورنال
عنوان ژورنال: Journal of Functional Analysis
سال: 2006
ISSN: 0022-1236
DOI: 10.1016/j.jfa.2005.06.003