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Extra Form
강연자 임미경
소속 KAIST
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.
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List of Articles
카테고리 제목 소속 강연자
수학강연회 Compressible viscous Navier-Stokes flows: Corner singularity, regularity file POSTECH 권재룡
수학강연회 학부생을 위한 ε 강연회: Constructions by ruler and compass together with a conic file 건국대/서울대 최인송
수학강연회 Non-commutative Lp-spaces and analysis on quantum spaces file 서울대학교 이훈희
수학강연회 Randomness of prime numbers file 서울대학교 임선희
수학강연회 Space.Time.Noise file Meijo University Takeyuki Hida
수학강연회 학부생을 위한 강연회: Tipping Point Analysis and Influence Maximization in Social Networks file KAIST 정교민
수학강연회 Role of Computational Mathematics and Image Processing in Magnetic Resonance Electrical Impedance Tomography (MREIT) file KAIST 이창옥
수학강연회 On Ingram’s Conjecture file University of Zagrab Sonja Stimac
수학강연회 Variational Methods without Nondegeneracy file POSTECH 변재형
수학강연회 Chern-Simons invariant and eta invariant for Schottky hyperbolic manifolds file KIAS 박진성
수학강연회 Brownian motion with darning and conformal mappings file University of Washington Zhen-Qing Chen
수학강연회 Categorical representation theory, Categorification and Khovanov-Lauda-Rouquier algebras file Kyoto University/서울대학교 Masaki Kashiwara
수학강연회 학부생을 위한 강연회: 통신의 New Trend, 그리고 Big Data file KT 전무 양현미
수학강연회 Cloaking via Change of Variables file KAIST 임미경
수학강연회 How to solve linear systems in practice file 이화여대 수학과 민조홍
수학강연회 Spectral Analysis for the Anomalous Localized Resonance by Plasmonic Structures file 인하대학교 강현배
수학강연회 Conformal field theory and noncommutative geometry file 동경대학교 Kawahigashi
수학강연회 극소곡면의 등주부등식 file KIAS 최재경
수학강연회 Topology of configuration spaces on graphs file KAIST 고기형
수학강연회 학부생을 위한 강연회: What is the algebraic number theory? file KAIST 구자경
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