## 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 to

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

time trace of reflection and transmission data.

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.

Original language | English |
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Title of host publication | Inverse problems in mathematical physics / Lecture notes in physics |

Editors | L. Päivärinta, E. Somersalo |

Publisher | Springer |

Pages | 112-125 |

Volume | 422 |

ISBN (Print) | 3-540-57195-7 |

Publication status | Published - 1993 |

### Publication series

Name | |
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Volume | 422 |

ISSN (Print) | 0075-8450 |

## Subject classification (UKÄ)

- Other Electrical Engineering, Electronic Engineering, Information Engineering
- Electrical Engineering, Electronic Engineering, Information Engineering