### The inverse scattering problem for a homogeneous bi-isotropic slab using transient data

(1993) 422. p.112-125- Abstract
- Transient wave propagation in a finite bi-isotropic slab is treated. The incident

field impinges normally on the slab, which can be inhomogeneous wrt

depth. Dispersion and bi-isotropy are modeled by time convolutions in the

constitutive relations. Outside the slab the medium is assumed to be homogeneous,

non-dispersive and isotropic, and such that there is no phase velocity

mismatch at the boundaries of the slab. Two alternative methods of solution

to the propagation problem are given—the imbedding method and the Green

function approach. The second method is used to solve the inverse problem

and the first to generate synthetic data. The inverse scattering problem is... (More) - Transient wave propagation in a finite bi-isotropic slab is treated. The incident

field impinges normally on the slab, which can be inhomogeneous wrt

depth. Dispersion and bi-isotropy are modeled by time convolutions in the

constitutive relations. Outside the slab the medium is assumed to be homogeneous,

non-dispersive and isotropic, and such that there is no phase velocity

mismatch at the boundaries of the slab. Two alternative methods of solution

to the propagation problem are given—the imbedding method and the Green

function approach. The second method is used to solve the inverse problem

and the first to generate synthetic data. The inverse scattering problem is to

reconstruct the four susceptibility kernels of the medium using a set of finite

time trace of reflection and transmission data. (Less)

Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/531384

- author
- Kristensson, Gerhard
^{LU}and Rikte, Sten - organization
- publishing date
- 1993
- type
- Chapter in Book/Report/Conference proceeding
- publication status
- published
- subject
- host publication
- Inverse problems in mathematical physics / Lecture notes in physics
- editor
- Päivärinta, L. and Somersalo, E.
- volume
- 422
- pages
- 112 - 125
- publisher
- Springer
- ISSN
- 0075-8450
- ISBN
- 3-540-57195-7
- language
- English
- LU publication?
- yes
- id
- 66af14eb-adef-49a8-8e05-fee4caed3577 (old id 531384)
- date added to LUP
- 2016-04-01 17:02:53
- date last changed
- 2018-11-21 20:46:14

@inbook{66af14eb-adef-49a8-8e05-fee4caed3577, abstract = {{Transient wave propagation in a finite bi-isotropic slab is treated. The incident<br/><br> field impinges normally on the slab, which can be inhomogeneous wrt<br/><br> depth. Dispersion and bi-isotropy are modeled by time convolutions in the<br/><br> constitutive relations. Outside the slab the medium is assumed to be homogeneous,<br/><br> non-dispersive and isotropic, and such that there is no phase velocity<br/><br> mismatch at the boundaries of the slab. Two alternative methods of solution<br/><br> to the propagation problem are given—the imbedding method and the Green<br/><br> function approach. The second method is used to solve the inverse problem<br/><br> and the first to generate synthetic data. The inverse scattering problem is to<br/><br> reconstruct the four susceptibility kernels of the medium using a set of finite<br/><br> time trace of reflection and transmission data.}}, author = {{Kristensson, Gerhard and Rikte, Sten}}, booktitle = {{Inverse problems in mathematical physics / Lecture notes in physics}}, editor = {{Päivärinta, L. and Somersalo, E.}}, isbn = {{3-540-57195-7}}, issn = {{0075-8450}}, language = {{eng}}, pages = {{112--125}}, publisher = {{Springer}}, title = {{The inverse scattering problem for a homogeneous bi-isotropic slab using transient data}}, volume = {{422}}, year = {{1993}}, }