Extra Form
강연자 임미경
date 2012-05-03
We consider the problem of identifying the material properties from boundary measurements. For the conductivity case, this is known as Calderon problem: “Is it possible to determine the electrical conductivity inside a domain from the boundary voltage and current measurements?” The uniqueness for Calderon problem holds when the conductivity is restricted to be isotropic, where by definition the material properties are independent of direction. For the anisotropic case, the uniqueness fails to hold since, using a change of coordinates, it is possible to make two different anisotropic conductivity profiles which give the same boundary data. We will see how to make “Harry Potter’s invisibility cloak” using a singular change of coordinates, which blows up a point to the region being cloaked. In addition, the regularization or the approximation of singular cloaking will be explained. Finally, I will provide a new method of constructing very effective near-cloaking structures in order to achieve enhanced near-invisibility.
첨부 '1'
List of Articles
카테고리 제목 소속 강연자
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수학강연회 Compressible viscous Navier-Stokes flows: Corner singularity, regularity file POSTECH 권재룡
수학강연회 Combinatorial Laplacians on Acyclic Complexes file 서울대학교 국웅
수학강연회 Codimension Three Conjecture file 교토대학교/서울대학교 Masaki Kashiwara
수학강연회 Cloaking via Change of Variables file KAIST 임미경
수학강연회 Classical and Quantum Probability Theory file 충북대학교 지운식
수학강연회 Class field theory for 3-dimensional foliated dynamical systems file Kyushu University Morishita Masanori
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수학강연회 Categorical representation theory, Categorification and Khovanov-Lauda-Rouquier algebras file Kyoto University/서울대학교 Masaki Kashiwara
수학강연회 Brownian motion with darning and conformal mappings file University of Washington Zhen-Qing Chen
수학강연회 Brownian motion and energy minimizing measure in negative curvature file 서울대학교 임선희
수학강연회 Birational Geometry of varieties with effective anti-canonical divisors file 연세대학교 최성락
수학강연회 Averaging formula for Nielsen numbers file 서강대학교 이종범
수학강연회 Arithmetic of elliptic curves file 서울대 김도형
수학강연회 Anomalous diffusions and fractional order differential equations file University of Washington Zhen-Qing Chen
수학강연회 Analytic torsion and mirror symmetry file Kyoto University Ken-ichi Yoshikawa
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