The Determination of the Surface Impedance of a Partially Coated Obstacle from Far Field Data
نویسندگان
چکیده
A variational method is given for determining the essential supremum of the surface impedance of a partially coated perfect conductor from a knowledge of the far field pattern of the time-harmonic electric field at fixed frequency. It is assumed that the shape of the scatterer has been determined (e.g., by solving the far field equation and using the linear sampling method). Numerical examples are given for the scalar case with constant surface impedance.
منابع مشابه
Stable Determination of the Surface Impedance of an Obstacle by Far Field Measurements
We deal with the inverse scattering problem of determining the surface impedance of a partially coated obstacle. We prove a stability estimate of logarithmic type for the impedance term by the far field measurements.
متن کاملObstacle and Boundary Determination from Scattering Data
In this paper, we are concerned with the identification of complex obstacles from the scattering data for the acoustic problem. The complex obstacle is characterized by its shape and the boundary values of the impedance coefficient. We establish pointwise formulas which can be used to reconstruct the shape of the obstacle and give explicitly the values of the surface impedance as a function of ...
متن کاملOn unique determination of partially coated polyhedral scatterers with far field measurements
This work is a continuation of our early study in Liu and Zou (2006 Uniqueness in an inverse acoustic obstacle scattering problem for both sound-hard and sound-soft polyhedral scatterers Inverse Problems 22 515–24; 2006 Uniqueness in determining multiple polygonal or polyhedral scatterers of mixed type Technical Report 2006-03(337) The Chinese University of Hong Kong) and addresses the unique d...
متن کاملReconstruction of the Shape and Surface Impedance from Acoustic Scattering Data for an Arbitrary Cylinder
The inverse scattering for an obstacle D ⊂ R2 with mixed boundary condition can be considered as a prototype for radar detection of complex obstacles with coated and noncoated parts of the boundary. We construct some indicator functions for this inverse problem using the far-field pattern directly, without the necessity of transforming the far field to the near field. Based on careful singulari...
متن کاملOn Detection and Visibility of a Complex Obstacle Using Multipoles Sources from Far Field Data
We deal with the acoustic inverse scattering problem for detecting an obstacle with mixed boundary conditions from the far field map. We show how the geometric properties and the material parameter distributed on the surface are involved in the obstacle reconstruction numerically. The main advance of this research on our recently work (SIAM J. Applied Math, 67(4), 2007) is the higher-order asym...
متن کاملذخیره 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 ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- SIAM Journal of Applied Mathematics
دوره 64 شماره
صفحات -
تاریخ انتشار 2004