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Extra Form
Lecturer 임미경
Dept. KAIST
date May 03, 2012
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.
Atachment
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List of Articles
Category Subject Dept. Lecturer
Math Colloquia Conformal field theory in mathematics file 고등과학원 강남규
Math Colloquia Conformal field theory and noncommutative geometry file 동경대학교 Kawahigashi
Math Colloquia Compressible viscous Navier-Stokes flows: Corner singularity, regularity file POSTECH 권재룡
Math Colloquia Combinatorial Laplacians on Acyclic Complexes file 서울대학교 국웅
Math Colloquia Codimension Three Conjecture file 교토대학교/서울대학교 Masaki Kashiwara
Math Colloquia Cloaking via Change of Variables file KAIST 임미경
Math Colloquia Classical and Quantum Probability Theory file 충북대학교 지운식
Math Colloquia Class field theory for 3-dimensional foliated dynamical systems file Kyushu University Morishita Masanori
Math Colloquia Circular maximal functions on the Heisenberg group file 연세대 수학과 김준일
Math Colloquia Chern-Simons invariant and eta invariant for Schottky hyperbolic manifolds file KIAS 박진성
Math Colloquia Categorification of Donaldson-Thomas invariants file 서울대학교 김영훈
Math Colloquia Categorical representation theory, Categorification and Khovanov-Lauda-Rouquier algebras file Kyoto University/서울대학교 Masaki Kashiwara
Math Colloquia Brownian motion with darning and conformal mappings file University of Washington Zhen-Qing Chen
Math Colloquia Brownian motion and energy minimizing measure in negative curvature file 서울대학교 임선희
Math Colloquia Birational Geometry of varieties with effective anti-canonical divisors file 연세대학교 최성락
Math Colloquia Averaging formula for Nielsen numbers file 서강대학교 이종범
Math Colloquia Arithmetic of elliptic curves file 서울대 김도형
Math Colloquia Anomalous diffusions and fractional order differential equations file University of Washington Zhen-Qing Chen
Math Colloquia Analytic torsion and mirror symmetry file Kyoto University Ken-ichi Yoshikawa
Math Colloquia Analysis and computations of stochastic optimal control problems for stochastic PDEs file 아주대 이형천
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