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Inverse Boundary Value Problems for ...

Pichler, Monika.

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Inverse Boundary Value Problems for Maxwell's Equations.

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Inverse Boundary Value Problems for Maxwell's Equations./
作者:	Pichler, Monika.
出版者:	Ann Arbor : ProQuest Dissertations & Theses, : 2019,
面頁冊數:	94 p.
附註:	Source: Dissertations Abstracts International, Volume: 80-11, Section: B.
Contained By:	Dissertations Abstracts International80-11B.
標題:	Applied Mathematics. -
電子資源:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=13861264
ISBN:	9781392088906

Inverse Boundary Value Problems for Maxwell's Equations.
Pichler, Monika.

Inverse Boundary Value Problems for Maxwell's Equations. - Ann Arbor : ProQuest Dissertations & Theses, 2019 - 94 p.

Source: Dissertations Abstracts International, Volume: 80-11, Section: B.

Thesis (Ph.D.)--Northeastern University, 2019.

This item must not be sold to any third party vendors.

In this dissertation, we consider inverse boundary value problems for the time-harmonic Maxwell equations in different settings. Such problems aim to recover the internal electromagnetic material properties of a body, namely its conductivity, electric permittivity, and magnetic permeability, from measurements taken on its surface. We first show that a Lipschitz continuous conductivity, electric permittivity, and magnetic permeability are uniquely determined by knowledge of all tangential electric and magnetic fields on the entire boundary of a bounded body at a fixed frequency. Secondly, we consider two inverse problems in an infinite slab, assuming partial availability of boundary measurements. We assume that tangential boundary data for the electric and magnetic fields at a fixed frequency is available either on subsets of one boundary hyperplane, or on subsets of different boundary hyperplanes. We show that in each of these cases, the electromagnetic material parameters are uniquely determined on the slab by these partial measurements.

ISBN: 9781392088906Subjects--Topical Terms:

1669109
Applied Mathematics.

Inverse Boundary Value Problems for Maxwell's Equations.
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520 $a In this dissertation, we consider inverse boundary value problems for the time-harmonic Maxwell equations in different settings. Such problems aim to recover the internal electromagnetic material properties of a body, namely its conductivity, electric permittivity, and magnetic permeability, from measurements taken on its surface. We first show that a Lipschitz continuous conductivity, electric permittivity, and magnetic permeability are uniquely determined by knowledge of all tangential electric and magnetic fields on the entire boundary of a bounded body at a fixed frequency. Secondly, we consider two inverse problems in an infinite slab, assuming partial availability of boundary measurements. We assume that tangential boundary data for the electric and magnetic fields at a fixed frequency is available either on subsets of one boundary hyperplane, or on subsets of different boundary hyperplanes. We show that in each of these cases, the electromagnetic material parameters are uniquely determined on the slab by these partial measurements.
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