ANALYSIS OF TOPOLOGICAL DERIVATIVE FUNCTION FOR A FAST ELECTROMAGNETIC IMAGING OF PERFECTLY CONDUCING CRACKS | Zendy

Yixuan Ma | Zendy; Pok-Son Kin | Zendy; WonKwang Park | Zendy

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ANALYSIS OF TOPOLOGICAL DERIVATIVE FUNCTION FOR A FAST ELECTROMAGNETIC IMAGING OF PERFECTLY CONDUCING CRACKS

Author(s) -

Yixuan Ma,

Pok-Son Kin,

WonKwang Park

Publication year - 2011

Publication title -

electromagnetic waves

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.437

H-Index - 89

eISSN - 1559-8985

pISSN - 1070-4698

DOI - 10.2528/pier11092901

Subject(s) - derivative (finance) , function (biology) , boundary value problem , topology (electrical circuits) , mathematics , boundary (topology) , dirichlet boundary condition , image (mathematics) , mathematical analysis , iterative method , computer science , geometry , algorithm , computer vision , combinatorics , financial economics , economics , biology , evolutionary biology

We consider a topological derivative based imaging technique for non-iterative imaging of small and extended perfectly conducting cracks with Dirichlet boundary condition. For this purpose, we introduce topological derivative imaging function based on the asymptotic formula in the existence of narrow crack. We then mathematically analyze its structure in order to investigate why it yields the shape of crack(s). Analyzed structure gives us an optimal condition to get a better image of them. Various numerical experiments support our analysis.

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