A Point-source Method for Inverse Acoustic and Electromagnetic Obstacle Scattering Problems

نویسنده

  • Roland Potthast
چکیده

We present the mathematical foundation for a point-source method to solve some inverse acoustic and electromagnetic obstacle scattering problems in three dimensions. We investigate the inverse acoustic scattering problem by a sound-soft and a sound-hard scatterer and the inverse electromagnetic scattering problem by a perfect conductor. Two independent approaches to the method are presented which reeect its strong relation to basic properties of obstacle scattering problems.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

A Point-source Method in Inverse Acoustic Scattering

We present a point-source method to solve inverse acoustic obstacle scattering problems. The point-source method gives a new and explicit procedure how to compute from the far eld pattern u 1 of a scattered eld an approximation for the total acoustic eld u near the unknown obstacle. The point-source method then searches for the boundary of the obstacle as a zero-curve of u or @u @ , respectivel...

متن کامل

A Point-source Method in Inverse Electromagnetic Scattering

We present the mathematical foundation for a point-source method PSM to solve inverse electromagnetic perfect-conductor obstacle scattering problems. The PSM gives a new and explicit procedure how to compute locally from the far eld pattern E 1 an approximation for the total electric eld E near the unknown obstacle. The PSM then searches for the boundary of the obstacle as a zero-curve of p E w...

متن کامل

Inverse Acoustic and Electromagnetic Scattering Theory

This paper is a survey of the inverse scattering problem for time-harmonic acoustic and electromagnetic waves at fixed frequency. We begin by a discussion of “weak scattering” and Newton-type methods for solving the inverse scattering problem for acoustic waves, including a brief discussion of Tikhonov’s method for the numerical solution of ill-posed problems. We then proceed to prove a uniquen...

متن کامل

Short Communication On the scattering of point-generated electromagnetic waves by a perfectly conducting sphere, and related near-field inverse problems

A spherical electromagnetic wave is scattered by a bounded perfectly conducting obstacle. A generalization of the plane-wave optical theorem is established. For a spherical scatterer, low frequency results are obtained by approximating the known exact solution (separation of variables). In particular, a closed-form approximation of the scattered wavefield at the source of the incident spherical...

متن کامل

Multifrequency inverse obstacle scattering: the point source method and generalized filtered backprojection

We outline two methods for obstacle reconstruction from multifrequency far field scattering data, the first built upon the point source method proposed by Potthast for solving inverse scattering problems with single frequency data in the resonance region, and the second based on filtered backprojection techniques using the physical optics approximation for high frequency scattering. Our impleme...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 1997