Inverse Source Problem in Nonhomogeneous Background Media

Inverse Source Problem in Nonhomogeneous Background Media. Part II: Vector Formulation and Antenna Substrate Performance Characterization

This paper solves analytically and illustrates numerically the full-vector, electromagnetic inverse source problem of synthesizing an unknown source embedded in a given substrate medium of volume V and radiating a prescribed exterior field. The derived formulation and results generalize previous work on the scalar version of the problem, especially the recent “Part I” paper [A.J. Devaney, E.A. ...

Internal Forces in Piles “Under External Forces and Earthquake in Homogeneous and Nonhomogeneous Media”

Scattering and inverse scattering in one-dimensional nonhomogeneous media

The wave propagation in a one-dimensional nonhomogeneous medium is considered, where the wave speed and the restoring force depend on location. In the frequency domain this is equivalent to the Schrijdinger equation d2$/dx2 + k211, = k2P(x)II, + Q(x)Jt with an added potential proportional to energy. The scattering and bound-state solutions of this equation are studied and the properties of the ...

Determination of a Source Term in an Inverse Heat Conduction Problem by Radial Basis Functions

In this paper, we propose a technique for determining a source term in an inverse heat conduction problem (IHCP) using Radial Basis Functions (RBFs). Because of being very suitable instruments, the RBFs have been applied for solving Partial Dierential Equations (PDEs) by some researchers. In the current study, a stable meshless method will be pro- posed for solving an (I...

Estimation of the Strength of the Time-dependent Heat Source using Temperature Distribution at a Point in a Three Layer System

In this paper, the conjugate gradient method coupled with adjoint problem is used in order to solve the inverse heat conduction problem and estimation of the strength of the time- dependent heat source using the temperature distribution at a point in a three layer system. Also, the effect of noisy data on final solution is studied. The numerical solution of the governing equations is obtained b...