Article
Licensed
Unlicensed
Requires Authentication
Theory of ground-penetrating radars III
Published/Copyright:
September 7, 2013
Abstract
- The governing equations are Maxwell’s. The source of the current is either j = ey δ(z − z0)δ(x)f(t) or eϕ δ(z − z0)δ(r − r0)f(t) (straight wire or loop of current, f(t) is a pulse). The conductivity σ(z) and permittivity ε(z) are unknown in the medium (z > 0) and are known in the air (z < 0). The source is in the air: z0< 0. The μ is a known constant. The data are the values of E(x, y, z, t) and H(x, y, z, t) for all t > 0, all x, y ∈ R2 on the surface z = 0. For t < 0 the system is at rest: the electromagnetic fields vanish. Given the data, an exact inversion procedure is described to find σ(z) and ε(z).
Published Online: 2013-09-07
Published in Print: 2000-02
© 2013 by Walter de Gruyter GmbH & Co.
You are currently not able to access this content.
You are currently not able to access this content.
Articles in the same Issue
- CONTENTS
- Identifiability of distributed parameters for high-order quasi-linear differential equations
- Theory of ground-penetrating radars III
- Stability and convergence of the wavelet-Galerkin method for the sideways heat equation
- On the inverse problem of determining a connection on a vector bundle
- Inverse problems for differential equations with singularities lying inside the interval
Articles in the same Issue
- CONTENTS
- Identifiability of distributed parameters for high-order quasi-linear differential equations
- Theory of ground-penetrating radars III
- Stability and convergence of the wavelet-Galerkin method for the sideways heat equation
- On the inverse problem of determining a connection on a vector bundle
- Inverse problems for differential equations with singularities lying inside the interval
