## Polarization and Moment Tensors: With Applications to Inverse Problems and Effective Medium TheoryThis book presents important recent developments in mathematical and computational methods used in impedance imaging and the theory of composite materials. By augmenting the theory with interesting practical examples and numerical illustrations, the exposition brings simplicity to the advanced material. An introductory chapter covers the necessary basics. An extensive bibliography and open problems at the end of each chapter enhance the text. |

### Contents

1 | |

7 | |

3 | 32 |

Uniqueness for Inverse Conductivity Problems | 67 |

4 | 75 |

Full Asymptotic Formula for the Potentials 129 | 128 |

NearBoundary Conductivity Inclusions | 145 |

Impedance Imaging of Conductivity Inclusions | 161 |

Effective Properties of Electrical Composites | 195 |

### Other editions - View all

Polarization and Moment Tensors: With Applications to Inverse Problems and ... Habib Ammari,Hyeonbae Kang No preview available - 2007 |

Polarization and Moment Tensors: With Applications to Inverse Problems and ... Habib Ammari,Hyeonbae Kang No preview available - 2010 |

### Common terms and phrases

algorithm anisotropic Appl Applications associated assume asymptotic expansion boundary boundary measurements bounded bounded Lipschitz domain chapter compact completes composite compute conductivity conductivity problem consider constant containing corresponding defined definition denote depends derive Detection determine disk effective elastic electrical ellipse EMTs estimate example exists fact field first-order formula function given gives GPTs harmonic function hence holds identity imaging inclusions inequality interesting introduce inverse Inverse Problems Lamé layer potentials Lemma linear materials Math Mathematical matrix method Moreover Note numerical Observe obtain ôly operator periodic perturbations polarization tensor positive presence problem Proof properties prove radius reconstruction relation representation respectively satisfies solution solve space Suppose symmetric takes Theorem Theory transmission problem unique variational voltage volume yields zero

### Popular passages

Page 1 - ... 1. Introduction Impedance imaging uses measurements of boundary voltage potentials and associated boundary currents to infer information about the internal conductivity profile of an object. Complete information about all voltages and currents is known to uniquely characterize an isotropic internal conductivity profile [8, 27, 33, 34].