Adaptive eigenspace method for inverse scattering problems in the frequency domain
نویسندگان
چکیده
منابع مشابه
Adaptive Eigenspace Method for Inverse Scattering Problems in the Frequency Domain
A nonlinear optimization method is proposed for the solution of inverse scattering problems in the frequency domain, when the scattered field is governed by the Helmholtz equation. The time-harmonic inverse medium problem is formulated as a PDE-constrained optimization problem and solved by an inexact truncated Newtontype iteration. Instead of a grid-based discrete representation, the unknown w...
متن کاملA linear sampling method for inverse scattering stodynamics elastodynamics problems in the time domain elastodynamics problems in the time domain
This paper, deals with detecting and identifying unknown scatters (e.g., obstacles) in an elastic background solid through the use of elastic illuminating waves. In this regards, the Linear Sampling Method (LSM) for the reconstruction of the underground obstacles from near-field surface seismic measurements in the time domain is explained. The LSM is an effective approach to image the geometric...
متن کاملInverse scattering problems and the enclosure method
We show that the enclosure method introduced here is applicable to inverse scattering problems in two dimensions. Using the single set of the Cauchy data of a solution of the Helmholtz equation, we give some formulae for extracting the value of the support functions of unknown sound-hard polygonal obstacles and piecewise linear cracks from the set. AMS: 35R30
متن کاملInverse Scattering for Vowel Articulation with Frequency-domain Data
An inverse scattering problem is analyzed for vowel articulation in the human vocal tract. When a unit amplitude, monochromatic, sinusoidal volume velocity is sent from the glottis towards the lips, various types of scattering data are used to examine whether the cross sectional area of the vocal tract can uniquely be determined by each data set. Among the data sets considered are the absolute ...
متن کاملMultilevel Linear Sampling Method for Inverse Scattering Problems
A novel multilevel algorithm is presented for implementing the widely used linear sampling method in inverse obstacle scattering problems. The new method is shown to possess asymptotically optimal computational complexity. For an n×n sampling mesh in R2 or an n×n×n sampling mesh in R3, the proposed algorithm requires one to solve only O(nN−1) far-field equations for a RN problem (N=2,3), and th...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Inverse Problems
سال: 2017
ISSN: 0266-5611,1361-6420
DOI: 10.1088/1361-6420/aa5250