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
수학강연회 The significance of dimensions in mathematics file Kyoto Univ./서울대학교 Heisuke Hironaka
수학강연회 Quasi-homomorphisms into non-commutative groups file Kyoto Univ. Koji Fujiwara
수학강연회 학부생을 위한 강연회: 통신의 New Trend, 그리고 Big Data file KT 전무 양현미
수학강연회 Chern-Simons invariant and eta invariant for Schottky hyperbolic manifolds file KIAS 박진성
수학강연회 극소곡면의 등주부등식 file KIAS 최재경
BK21 FOUR Rookies Pitch 2021-2 Rookies Pitch: Arithmetic Statistics (이정인) file KIAS 이정인
BK21 FOUR Rookies Pitch 2022-2 Rookies Pitch: Probability Theory (변성수) file KIAS 변성수
BK21 FOUR Rookies Pitch 2022-2 Rookies Pitch: Algebraic Geometry (박현준) file KIAS 박현준
수학강연회 <학부생을 위한 ɛ 강연> Intuition, Mathematics and Proof file KAIST 수리과학과 김동수
수학강연회 Introduction to Non-Positively Curved Groups file KAIST 김상현
수학강연회 학부생을 위한 강연회: What is the algebraic number theory? file KAIST 구자경
수학강연회 Topology of configuration spaces on graphs file KAIST 고기형
수학강연회 The Mathematics of the Bose Gas and its Condensation file KAIST 이지운
수학강연회 Cloaking via Change of Variables file KAIST 임미경
수학강연회 Role of Computational Mathematics and Image Processing in Magnetic Resonance Electrical Impedance Tomography (MREIT) file KAIST 이창옥
수학강연회 학부생을 위한 강연회: Tipping Point Analysis and Influence Maximization in Social Networks file KAIST 정교민
수학강연회 <학부생을 위한 강연> 사색 정리를 포함하는 Hadwiger의 추측의 변형에 관하여 file KAIST 엄상일
수학강연회 Connectedness of a zero-level set as a geometric estimate for parabolic PDEs file KAIST 김용정
수학강연회 Normal form reduction for unconditional well-posedness of canonical dispersive equations file KAIST 권순식
수학강연회 Essential dimension of simple algebras file KAIST 백상훈
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