A new approach to the 2D inverse electromagnetic medium scattering problem: reconstruction of anisotropic objects

2000 ◽  
Vol 36 (4) ◽  
pp. 1106-1109 ◽  
Author(s):  
W.M. Rucker ◽  
G. Lehner ◽  
C. Huber ◽  
A. Buchau ◽  
W. Rieger
Keyword(s):  
Scattering Problem ◽  
New Approach ◽  
Electromagnetic Medium

A novel approach to the 2D-TM inverse electromagnetic medium scattering problem

1999 ◽  
Vol 35 (3) ◽  
pp. 1566-1569 ◽  
Author(s):  
W. Rieger ◽  
M. Haas ◽  
C. Huber ◽  
G. Lehner ◽  
W.M. Rucker
Keyword(s):  
Scattering Problem ◽  
Novel Approach ◽  
Electromagnetic Medium

scholarly journals Solving a 1-D inverse medium scattering problem using a new multi-frequency globally strictly convex objective functional

2020 ◽  
Vol 28 (5) ◽  
pp. 693-711
Author(s):  
Nguyen T. Thành ◽  
Michael V. Klibanov
Keyword(s):  
Global Convergence ◽  
Error Estimate ◽  
Scattering Problem ◽  
Projection Algorithm ◽  
New Approach ◽  
Numerical Examples ◽  
Strictly Convex ◽  
Inverse Medium ◽  
Inverse Medium Scattering ◽  
Objective Functional

AbstractWe propose a new approach to constructing globally strictly convex objective functional in a 1-D inverse medium scattering problem using multi-frequency backscattering data. The global convexity of the proposed objective functional is proved. We also prove the global convergence of the gradient projection algorithm and derive an error estimate. Numerical examples are presented to illustrate the performance of the proposed algorithm.

Inverse Scattering Based on Proper Solution Space

2019 ◽  
Vol 27 (03) ◽  
pp. 1850033
Author(s):  
A. Hamad ◽  
M. Tadi
Keyword(s):  
Boundary Conditions ◽  
Inverse Scattering ◽  
Unknown Function ◽  
Scattering Problem ◽  
Inverse Scattering Problem ◽  
Solution Space ◽  
Initial Guess ◽  
Proper Solution ◽  
New Approach ◽  
Numerical Examples

This paper is concerned with an inverse scattering problem in frequency domain, when the scattered field is governed by the Helmholtz equation. The algorithm is iterative in nature. It introduces a new approach which we refer to as proper solution space. It assumes an initial guess for the unknown function and obtains corrections to the guessed value. The updating stage is accomplished by generating a set of functions that satisfy some of the required boundary conditions. We refer to this space as proper solution space. The correction to the assumed value can then be obtained by imposing the remaining boundary conditions. A number of numerical examples are used to study the applicability and effectiveness of the new approach.

The O–C diagrams of minor planets − a new approach to modelling the rotation

1999 ◽  
Vol 173 ◽  
pp. 185-188
Author(s):  
Gy. Szabó ◽  
K. Sárneczky ◽  
L.L. Kiss
Keyword(s):  
Error Analysis ◽  
Time Dependence ◽  
Theoretical Work ◽  
Minor Planet ◽  
Minor Planets ◽  
New Approach ◽  
Preliminary Results ◽  
Ccd Observations

AbstractA widely used tool in studying quasi-monoperiodic processes is the O–C diagram. This paper deals with the application of this diagram in minor planet studies. The main difference between our approach and the classical O–C diagram is that we transform the epoch (=time) dependence into the geocentric longitude domain. We outline a rotation modelling using this modified O–C and illustrate the abilities with detailed error analysis. The primary assumption, that the monotonity and the shape of this diagram is (almost) independent of the geometry of the asteroids is discussed and tested. The monotonity enables an unambiguous distinction between the prograde and retrograde rotation, thus the four-fold (or in some cases the two-fold) ambiguities can be avoided. This turned out to be the main advantage of the O–C examination. As an extension to the theoretical work, we present some preliminary results on 1727 Mette based on new CCD observations.

A New Approach to the Demonstration of Oxidase-Localization Using Tannic Acid Or Catechin

1973 ◽  
Vol 31 ◽  
pp. 698-699
Author(s):  
V. Mizuhira ◽  
Y. Futaesaku
Keyword(s):  
Cross Section ◽  
Tannic Acid ◽  
Elastic Fiber ◽  
The Other ◽  
New Approach ◽  
Tissue Block ◽  
Active Reaction ◽  
The Cross

Previously we reported that tannic acid is a very effective fixative for proteins including polypeptides. Especially, in the cross section of microtubules, thirteen submits in A-tubule and eleven in B-tubule could be observed very clearly. An elastic fiber could be demonstrated very clearly, as an electron opaque, homogeneous fiber. However, tannic acid did not penetrate into the deep portion of the tissue-block. So we tried Catechin. This shows almost the same chemical natures as that of proteins, as tannic acid. Moreover, we thought that catechin should have two active-reaction sites, one is phenol,and the other is catechole. Catechole site should react with osmium, to make Os- black. Phenol-site should react with peroxidase existing perhydroxide.

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