# High-order functional derivatives of the scattered field according to the permittivity-contrast function

@article{Arhab2018HighorderFD, title={High-order functional derivatives of the scattered field according to the permittivity-contrast function}, author={Slimane Arhab and Dimitrios S. Anagnostou and Maminirina Joelson}, journal={Wave Motion}, year={2018} }

## One Citation

Numerical comparative study between regularized Gauss-Newton and Conjugate-Gradient methods in the context of microwave tomography

- Mathematics
- 2019

The reconstruction of relative permittivity and conductivity in microwave tomography is carried out using regularized Gauss-Newton and Conjugate-Gradient iterative schemes. These two approaches are…

## References

SHOWING 1-10 OF 43 REFERENCES

An Adjoint-Field Technique for Shape Reconstruction of 3-D Penetrable Object Immersed in Lossy Medium

- Computer ScienceIEEE Transactions on Antennas and Propagation
- 2009

An inversion algorithm is presented that is based on hybridization of the adjoint scheme for calculating gradient directions with the method of moments and the numerical results show that implementing the well known frequency hopping technique helps the algorithm avoid dropping in local minima.

RECIPROCITY THEOREM APPLIED TO THE COMPUTATION OF FUNCTIONAL DERIVATIVES OF THE SCATTERING MATRIX

- Mathematics
- 1982

ABSTRACT The paper presents a general reciprocity theorem which is valid for any couple of fields and scatterers ; especially, the surfaces of the scatterers in the two configurations may be…

Inverse scattering method in electromagnetic optics: Application to diffraction gratings

- Mathematics, Physics
- 1980

We present a theoretical and numerical method for solving problems of inverse scattering in optics given data on the far field, find the scattering object. This method is applied to perfectly…

Scattering by a dielectric cylinder of arbitrary cross section shape

- Physics
- 1965

The theory and equations are developed for the scattering pattern of a dielectric cylinder of arbitrary cross section shape. The harmonic incident wave is assumed to have its electric vector parallel…

Inverse Wave Scattering of Rough Surfaces with Emitters and Receivers in the Transition Zone

- Physics
- 2016

We deal with the problem of determining the profile of a perfectly conducting rough surface from single-frequency and multistatic data. The two fundamental polarizations are investigated, in a…

Hessian kernels of seismic data functionals based upon adjoint techniques

- Geology
- 2011

SUMMARY We present an extension of the adjoint method that allows us to compute the second derivatives of seismic data functionals with respect to Earth model parameters. This work is intended to…

An Efficient Nonlinear Imaging Approach for Dielectric Objects Buried Under a Rough Surface

- GeologyIEEE Transactions on Geoscience and Remote Sensing
- 2014

A nonlinear tomographic approach for microwave imaging of dielectrics buried under a rough surface is presented. It has been made possible to efficiently apply the contrast-source-inversion method,…

Inverse scattering: an iterative numerical method for electromagnetic imaging

- Mathematics, Physics
- 1991

The authors propose a spatial iterative algorithm for electromagnetic imaging based on a Newton-Kantorovich procedure for the reconstruction of the complex permittivity of inhomogeneous lossy…

Reconstruction of a two-dimensional binary obstacle by controlled evolution of a level-set

- Mathematics
- 1998

We are concerned with the retrieval of the unknown cross section of a homogeneous cylindrical obstacle embedded in a homogeneous medium and illuminated by time-harmonic electromagnetic line sources.…