SELF-DUAL INTEGRAL EQUATION FOR SCATTERING ANALYSIS FROM BODIES OF REVOLUTION WITH MULTIPLE IMPEDANCE BOUNDARY CONDITIONS

Magnetic Field Integral Equation for Electromagnetic Scattering by Conducting Bodies of Revolution in Layered Media

Convolution quadrature for the wave equation with impedance boundary conditions

We consider the numerical solution of the wave equation with impedance boundary conditions and start from a boundary integral formulation for its discretization. We develop the generalized convolution quadrature (gCQ) to solve the arising acoustic retarded potential integral equation for this impedance problem. For the special case of scattering from a spherical object, we derive representation...

Integral Equation Methods in Inverse Obstacle Scattering with a Generalized Impedance Boundary Condition

The inverse problem under consideration is to reconstruct the shape of an impenetrable two-dimensional obstacle with a generalized impedance boundary condition from the far field pattern for scattering of time-harmonic acoustic or E-polarized electromagnetic plane waves. We propose an inverse algorithm that extends the approach suggested by Johansson and Sleeman [10] for the case of the inverse...

Far Field Scattering from Bodies of Revolution

By use of approximations based on physical reasoning radar cross-section results for bodies of revolution are found. In the Rayleigh region (wavelength large with respect to object dimensions) approximate solutions are found. Examples given include a finite cone, a lens, an ellipticogive,.a spindle and a finite cylinder. In the physical optics region (wavelength very small with respect to all r...

Integral Equation Methods for Solving Laplace's Equation with Nonlinear Boundary Conditions: the Smooth Boundary Case

A nonlinear boundary value problem for Laplace's equation is solved numerically by using a reformulation as a nonlinear boundary integral equation. Two numerical methods are proposed and analyzed for discretizing the integral equation, both using product integration to approximate the singular integrals in the equation. The first method uses the product Simpson's rule, and the second is based o...