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'
  1. 학부생을 위한 ε 강연회: Constructions by ruler and compass together with a conic

  2. Non-commutative Lp-spaces and analysis on quantum spaces

  3. Randomness of prime numbers

  4. Space.Time.Noise

  5. 학부생을 위한 강연회: Tipping Point Analysis and Influence Maximization in Social Networks

  6. Role of Computational Mathematics and Image Processing in Magnetic Resonance Electrical Impedance Tomography (MREIT)

  7. On Ingram’s Conjecture

  8. Variational Methods without Nondegeneracy

  9. Chern-Simons invariant and eta invariant for Schottky hyperbolic manifolds

  10. Brownian motion with darning and conformal mappings

  11. Categorical representation theory, Categorification and Khovanov-Lauda-Rouquier algebras

  12. 학부생을 위한 강연회: 통신의 New Trend, 그리고 Big Data

  13. 07Nov
    by Editor
    in 수학강연회

    Cloaking via Change of Variables

  14. How to solve linear systems in practice

  15. Spectral Analysis for the Anomalous Localized Resonance by Plasmonic Structures

  16. Conformal field theory and noncommutative geometry

  17. 극소곡면의 등주부등식

  18. Topology of configuration spaces on graphs

  19. 학부생을 위한 강연회: What is the algebraic number theory?

  20. 정년퇴임 기념강연회: 숙제

Board Pagination Prev 1 2 3 4 5 6 7 8 9 10 11 12 Next
/ 12