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Volumn 46, Issue 1, 2009, Pages 55-97

Invisibility and inverse problems

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EID: 58749108876     PISSN: 02730979     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0273-0979-08-01232-9     Document Type: Article
Times cited : (149)

References (127)
  • 1
    • 0020831056 scopus 로고
    • On the inverse scattering transform for the Kadomtsev-Petviashvili equation
    • MR715426 (85h:35179).
    • M. Ablowitz, D. Bar Yaacov and A. Fokas, On the inverse scattering transform for the Kadomtsev-Petviashvili equation, Studies Appl. Math. 69 (1983), 135-143. MR715426 (85h:35179)
    • (1983) Studies Appl. Math. , vol.69 , pp. 135-143
    • Ablowitz, M.1    Bar Yaacov, D.2    Fokas, A.3
  • 2
    • 21144473666 scopus 로고
    • Homogenization and two-scale convergence
    • MR1185639 (93k:35022).
    • G. Allaire, Homogenization and two-scale convergence, SIAM J. Math. Anal. 23 (1992), 1482-1518. MR1185639 (93k:35022)
    • (1992) SIAM J. Math. Anal. , vol.23 , pp. 1482-1518
    • Allaire, G.1
  • 3
    • 0002604317 scopus 로고
    • Two-scale convergence on periodic surfaces and applications
    • In A. Bourgeat, C. Carasso, S. Luckhaus and A. Mikelic (eds.), Singapore, World Scientific.
    • G. Allaire and A. Damlamian and U. Hornung, Two-scale convergence on periodic surfaces and applications, In A. Bourgeat, C. Carasso, S. Luckhaus and A. Mikelic (eds.), Mathematical Modelling of Flow through Porous Media, 15-25, Singapore, World Scientific, 1995.
    • (1995) Mathematical Modelling of Flow through Porous Media , pp. 15-25
    • Allaire, G.1    Damlamian, A.2    Hornung, U.3
  • 4
    • 27244451303 scopus 로고    scopus 로고
    • Achieving transparency with plasmonic and metamaterial coatings
    • A. Alu and N. Engheta, Achieving transparency with plasmonic and metamaterial coatings, Phys. Rev. E 72, 016623 (2005)
    • (2005) Phys. Rev. E , vol.72 , pp. 016623
    • Alu, A.1    Engheta, N.2
  • 5
    • 30444450433 scopus 로고    scopus 로고
    • Calderón's inverse conductivity problem in the plane
    • MR2195135 (2007b:30019).
    • K. Astala and L. Päivärinta: Calderón's inverse conductivity problem in the plane. Annals of Math. 163 (2006), 265-299. MR2195135 (2007b:30019)
    • (2006) Annals of Math , vol.163 , pp. 265-299
    • Astala, K.1    Päivärinta, L.2
  • 6
    • 17444429256 scopus 로고    scopus 로고
    • Calderón's inverse problem for anisotropic conductivity in the plane
    • MR2131051 (2005k:35421).
    • K. Astala, M. Lassas, and L. Päiväirinta, Calderón's inverse problem for anisotropic conductivity in the plane, Comm. Partial Diff. Eqns. 30 (2005), 207-224. MR2131051 (2005k:35421)
    • (2005) Comm. Partial Diff. Eqns. , vol.30 , pp. 207-224
    • Astala, K.1    Lassas, M.2    Päiväirinta, L.3
  • 8
    • 0003513119 scopus 로고
    • Variational convergence for functions and operators
    • Pitman, Boston, xiv+423 pp. MR773850 (86f:49002).
    • H. Attouch, Variational convergence for functions and operators, Appl. Math. Series, Pitman, Boston, 1984. xiv+423 pp. MR773850 (86f:49002)
    • (1984) Appl. Math. Series
    • Attouch, H.1
  • 11
    • 0032640641 scopus 로고    scopus 로고
    • Neutral inhomogeneities in conduction phenomenon
    • MR1695877 (2000d:78013).
    • Y. Benveniste and T. Miloh, Neutral inhomogeneities in conduction phenomenon, Jour. Mech. Phys. Solids 47 (1999), 1873. MR1695877 (2000d:78013)
    • (1999) Jour. Mech. Phys. Solids , vol.47 , pp. 1873
    • Benveniste, Y.1    Miloh, T.2
  • 12
    • 0040819457 scopus 로고
    • The uniqueness theorem in the inverse problem of spectral analysis for the Schrödinger equation (Russian)
    • MR0101377 (21:188).
    • Y. Berezanskii, The uniqueness theorem in the inverse problem of spectral analysis for the Schrödinger equation (Russian), Trudy Moskov. Mat. Obsch. 7 (1958), 1-62. MR0101377 (21:188)
    • (1958) Trudy Moskov. Mat. Obsch. , vol.7 , pp. 1-62
    • Berezanskii, Y.1
  • 13
    • 0036904346 scopus 로고    scopus 로고
    • Electrical impedance tomography
    • R99-R136. MR1955896.
    • L. Borcea, Electrical impedance tomography, Inverse Problems 18 (2002), R99-R136. MR1955896
    • (2002) Inverse Problems , vol.18
    • Borcea, L.1
  • 15
    • 0001659228 scopus 로고    scopus 로고
    • Uniqueness in the inverse conductivity problem with less regular conductivities in two dimensions
    • MR1452176 (98f:35155).
    • R. Brown and G. Uhlmann, Uniqueness in the inverse conductivity problem with less regular conductivities in two dimensions, Comm. PDE 22 (1997), 1009-10027. MR1452176 (98f:35155)
    • (1997) Comm. PDE , vol.22 , pp. 1009-10027
    • Brown, R.1    Uhlmann, G.2
  • 16
    • 40449100443 scopus 로고    scopus 로고
    • Recovering the potential from Cauchy data in two dimensions
    • MR2387648.
    • A. Bukhgeim, Recovering the potential from Cauchy data in two dimensions, J. Inverse Ill-Posed Probl. 16 (2008), 19-34. MR2387648
    • (2008) J. Inverse Ill-Posed Probl. , vol.16 , pp. 19-34
    • Bukhgeim, A.1
  • 19
    • 0009616661 scopus 로고
    • On an inverse boundary value problem, Seminar on Numerical Analysis and its Applications to Continuum Physics (Rio de Janeiro, 1980)
    • MR590275 (81k:35160).
    • A.P. Calderón, On an inverse boundary value problem, Seminar on Numerical Analysis and its Applications to Continuum Physics (Rio de Janeiro, 1980), pp. 65-73, Soc. Brasil. Mat., Río de Janeiro, 1980. MR590275 (81k:35160)
    • (1980) Soc. Brasil. Mat., Río de Janeiro , pp. 65-73
    • Calderón, A.P.1
  • 20
    • 0000271273 scopus 로고
    • A problem in electrical prospection and an n-dimensional Borg-Levinson theorem
    • MR998731 (90i:35279).
    • S. Chanillo, A problem in electrical prospection and an n-dimensional Borg-Levinson theorem, Proc. Amer. Math. Soc. 108 (1990), 761-767. MR998731 (90i:35279)
    • (1990) Proc. Amer. Math. Soc. , vol.108 , pp. 761-767
    • Chanillo, S.1
  • 21
    • 34250655827 scopus 로고    scopus 로고
    • Transformation media that rotate electromagnetic fields
    • H. Chen and C.T. Chan, Transformation media that rotate electromagnetic fields, Appl. Phys. Lett. 90 (2007), 241105.
    • (2007) Appl. Phys. Lett. , vol.90 , pp. 241105
    • Chen, H.1    Chan, C.T.2
  • 23
    • 35648932927 scopus 로고    scopus 로고
    • Acoustic cloaking in three dimensions using acoustic metamaterials
    • H. Chen and C.T. Chan, Acoustic cloaking in three dimensions using acoustic metamaterials, Appl. Phys. Lett. 91 (2007), 183518.
    • (2007) Appl. Phys. Lett. , vol.91 , pp. 183518
    • Chen, H.1    Chan, C.T.2
  • 24
    • 34547824255 scopus 로고    scopus 로고
    • Electromagnetic wave interactions with a metamaterial cloak
    • H.-S. Chen, B.-I. Wu, B. Zhang and J.A. Kong, Electromagnetic wave interactions with a metamaterial cloak, Phys. Rev. Lett. 99 (2007), 063903.
    • (2007) Phys. Rev. Lett. , vol.99 , pp. 063903
    • Chen, H.-S.1    Wu, B.-I.2    Zhang, B.3    Kong, J.A.4
  • 25
    • 0002621641 scopus 로고    scopus 로고
    • Electrical impedance tomography
    • MR1669729 (99k:78017).
    • M. Cheney, D. Isaacson and J. Newell, Electrical impedance tomography, SIAM Rev. 41 (1999), 85-101. MR1669729 (99k:78017)
    • (1999) SIAM Rev , vol.41 , pp. 85-101
    • Cheney, M.1    Isaacson, D.2    Newell, J.3
  • 26
    • 0011254821 scopus 로고    scopus 로고
    • Variational methods for structural optimization
    • Springer-Verlag, New York, MR1763123 (2001e:74070).
    • A. Cherkaev, Variational methods for structural optimization, Appl. Math. Sci. 140, Springer-Verlag, New York, 2000. MR1763123 (2001e:74070)
    • (2000) Appl. Math. Sci.
    • Cherkaev, A.1
  • 27
    • 33749333794 scopus 로고    scopus 로고
    • Full-wave simulations of electromagnetic cloaking structures
    • S. Cummer, B.-I. Popa, D. Schurig, D. Smith and J. Pendry, Full-wave simulations of electromagnetic cloaking structures, Phys. Rev. E 74, 036621 (2006).
    • (2006) Phys. Rev. E , vol.74 , pp. 036621
    • Cummer, S.1    Popa, B.-I.2    Schurig, D.3    Smith, D.4    Pendry, J.5
  • 28
    • 33847642182 scopus 로고    scopus 로고
    • One path to acoustic cloaking
    • S. Cummer and D. Schurig, One path to acoustic cloaking, New Jour. Phys. 9 (2007), 45.
    • (2007) New Jour. Phys. , vol.9 , pp. 45
    • Cummer, S.1    Schurig, D.2
  • 29
    • 40749148972 scopus 로고    scopus 로고
    • Scattering theory derivation of a 3D acoustic cloaking shell
    • S. Cummer, et al., Scattering theory derivation of a 3D acoustic cloaking shell, Phys. Rev. Lett. 100 (2008), 024301.
    • (2008) Phys. Rev. Lett. , vol.100 , pp. 024301
    • Cummer, S.1
  • 30
    • 0003267633 scopus 로고
    • An introduction to Γ-convergence
    • Birkhauser Boston, Inc., Boston, MA, xiv+340 pp. MR1201152 (94a:49001).
    • G. Dal Maso, An introduction to Γ-convergence, Prog. in Nonlinear Diff. Eq. and Their Appl. 8. Birkhauser Boston, Inc., Boston, MA, 1993. xiv+340 pp. MR1201152 (94a:49001)
    • (1993) Prog. in Nonlinear Diff. Eq. and Their Appl. , vol.8
    • Dal Maso, G.1
  • 31
    • 54249139049 scopus 로고
    • To the possibility of comparison of three-dimensional electromagnetic systems with nonuniform anisotropic filling
    • L. S. Dolin, To the possibility of comparison of three-dimensional electromagnetic systems with nonuniform anisotropic filling, Izv. Vuzove, Radiofizika 4 (1961), 964-967.
    • (1961) Izv. Vuzove Radiofizika , vol.4 , pp. 964-967
    • Dolin, L.S.1
  • 32
    • 33847670175 scopus 로고    scopus 로고
    • Determining the magnetic Schrödinger operator from partial Cauchy data
    • MR2287913 (2008a:35044).
    • D. Dos Santos Ferreira, C. Kenig, J. Sjöstrand and G. Uhlmann, Determining the magnetic Schrödinger operator from partial Cauchy data. Comm. Math. Phys. 271 (2007), 467-488. MR2287913 (2008a:35044)
    • (2007) Comm. Math. Phys. , vol.271 , pp. 467-488
    • Dos Santos Ferreira, D.1    Kenig, C.2    Sjöstrand, J.3    Uhlmann, G.4
  • 33
    • 0001846906 scopus 로고
    • The particle problem in the general theory of relativity
    • A. Einstein and N. Rosen, The particle problem in the general theory of relativity, Physical Review 48 (1935), 73.
    • (1935) Physical Review , vol.48 , pp. 73
    • Einstein, A.1    Rosen, N.2
  • 34
    • 77951180919 scopus 로고    scopus 로고
    • G. Eleftheriades K. Balmain, eds., Negative-Refraction Metamaterials, IEEE/Wiley, Hoboken.
    • G. Eleftheriades and K. Balmain, eds., Negative-Refraction Metamaterials, IEEE/Wiley, Hoboken (2005).
    • (2005)
  • 35
    • 0002477276 scopus 로고
    • The inverse problem in the quantum theory of scattering. II. (Russian)
    • MR0523015 (58:25585).
    • L. Faddeev, The inverse problem in the quantum theory of scattering. II. (Russian) Current Problems in Mathematics 3 (1974), 93-180. MR0523015 (58:25585)
    • (1974) Current Problems in Mathematics , vol.3 , pp. 93-180
    • Faddeev, L.1
  • 36
    • 34548451545 scopus 로고    scopus 로고
    • Full-wave invisibility of active devices at all frequencies
    • MR2336363 (2008g:78016).
    • A. Greenleaf, Y. Kurylev, M. Lassas, G. Uhlmann: Full-wave invisibility of active devices at all frequencies, Comm. Math. Phys. 275 (2007), 749-789. MR2336363 (2008g:78016)
    • (2007) Comm. Math. Phys. , vol.275 , pp. 749-789
    • Greenleaf, A.1    Kurylev, Y.2    Lassas, M.3    Uhlmann, G.4
  • 37
    • 35649021386 scopus 로고    scopus 로고
    • Electromagnetic wormholes and virtual magnetic monopoles from metamaterials
    • A. Greenleaf, Y. Kurylev, M. Lassas, G. Uhlmann: Electromagnetic wormholes and virtual magnetic monopoles from metamaterials, Phys. Rev. Lett. 99 (2007), 183901.
    • (2007) Phys. Rev. Lett. , vol.99 , pp. 183901
    • Greenleaf, A.1    Kurylev, Y.2    Lassas, M.3    Uhlmann, G.4
  • 38
    • 35148841436 scopus 로고    scopus 로고
    • Improvement of cylindrical cloaking with the SHS lining
    • A. Greenleaf, Y. Kurylev, M. Lassas, G. Uhlmann: Improvement of cylindrical cloaking with the SHS lining, Optics Express 15 (2007), 12717-12734.
    • (2007) Optics Express , vol.15 , pp. 12717-12734
    • Greenleaf, A.1    Kurylev, Y.2    Lassas, M.3    Uhlmann, G.4
  • 44
    • 0037261789 scopus 로고    scopus 로고
    • The Calderón problem for conormal potentials, I: Global uniqueness and reconstruction
    • MR1941812 (2003j:35324).
    • A. Greenleaf, M. Lassas, and G. Uhlmann, The Calderón problem for conormal potentials, I: Global uniqueness and reconstruction, Comm. Pure Appl. Math 56 (2003), 328-352. MR1941812 (2003j:35324)
    • (2003) Comm. Pure Appl. Math , vol.56 , pp. 328-352
    • Greenleaf, A.1    Lassas, M.2    Uhlmann, G.3
  • 45
    • 0038439643 scopus 로고    scopus 로고
    • Anisotropic conductivities that cannot be detected in EIT
    • (special issue on Impedance Tomography).
    • A. Greenleaf, M. Lassas, and G. Uhlmann, Anisotropic conductivities that cannot be detected in EIT, Physiolog. Meas. (special issue on Impedance Tomography) 24 (2003), 413-420.
    • (2003) Physiolog. Meas. , vol.24 , pp. 413-420
    • Greenleaf, A.1    Lassas, M.2    Uhlmann, G.3
  • 46
    • 0742323755 scopus 로고    scopus 로고
    • On nonuniqueness for Calderón's inverse problem
    • no. 5-6, MR2024725 (2005f:35316).
    • A. Greenleaf, M. Lassas, and G. Uhlmann, On nonuniqueness for Calderón's inverse problem, Math. Res. Lett. 10 (2003), no. 5-6, 685-693. MR2024725 (2005f:35316)
    • (2003) Math. Res. Lett. , vol.10 , pp. 685-693
    • Greenleaf, A.1    Lassas, M.2    Uhlmann, G.3
  • 48
    • 34247561831 scopus 로고    scopus 로고
    • On the explicit reconstruction of a Riemann surface from its Dirichlet-Neumann operator
    • MR2306654.
    • G. Henkin, V. Michel, On the explicit reconstruction of a Riemann surface from its Dirichlet-Neumann operator, Geometric and Functional Analysis 17 (2007), 116-155. MR2306654
    • (2007) Geometric and Functional Analysis , vol.17 , pp. 116-155
    • Henkin, G.1    Michel, V.2
  • 50
    • 22544453369 scopus 로고    scopus 로고
    • Institute of Physics Publishing, Bristol and Philadelphia.
    • D. Holder, Electrical Impedance Tomography, Institute of Physics Publishing, Bristol and Philadelphia (2005).
    • (2005) Electrical Impedance Tomography
    • Holder, D.1
  • 51
    • 36749079969 scopus 로고    scopus 로고
    • Negative refraction in semiconductor metamaterials
    • doi:10.1038/nmat2033 (14 Oct)
    • A. Hoffman, et al., Negative refraction in semiconductor metamaterials, Nature Materials, doi:10.1038/nmat2033 (14 Oct 2007).
    • (2007) Nature Materials
    • Hoffman, A.1
  • 52
    • 58749105667 scopus 로고    scopus 로고
    • Special issue on electrical impedance tomography of Physiolog
    • D. Isaacson, J. Mueller and S. Siltanen, Special issue on electrical impedance tomography of Physiolog. Meas. 24, 2003.
    • (2003) Meas
    • Isaacson, D.1    Mueller, J.2    Siltanen, S.3
  • 53
    • 34547164277 scopus 로고    scopus 로고
    • The Calderón problem with partial data
    • MR2299741.
    • C.E. Kenig, J. Sjöstrand and G. Uhlmann, The Calderón problem with partial data, Annals of Math. 165 (2007), 567-591. MR2299741
    • (2007) Annals of Math , vol.165 , pp. 567-591
    • Kenig, C.E.1    Sjöstrand, J.2    Uhlmann, G.3
  • 54
    • 37549009568 scopus 로고    scopus 로고
    • Metamaterials: Lost in space
    • 01 Jan.
    • A. Jenkins, Metamaterials: Lost in space, Nature Photonics 2, 11-11 (01 Jan 2008).
    • (2008) Nature Photonics , vol.2 , pp. 11-11
    • Jenkins, A.1
  • 55
    • 0142163496 scopus 로고    scopus 로고
    • Inverse boundary spectral problems, Chapman and Hall/CRC Monogr. and Surv
    • in Chapman and Hall/CRC, Boca Raton, xx+290 pp. MR1889089 (2003e:58045).
    • A. Kachalov, Y. Kurylev and M. Lassas, Inverse boundary spectral problems, Chapman and Hall/CRC Monogr. and Surv. in Pure and Appl. Math., 123. Chapman and Hall/CRC, Boca Raton, 2001. xx+290 pp. MR1889089 (2003e:58045)
    • (2001) Pure and Appl. Math. , vol.123
    • Kachalov, A.1    Kurylev, Y.2    Lassas, M.3
  • 57
    • 0016496376 scopus 로고
    • Invisible bodies
    • M. Kerker, Invisible bodies, J. Opt. Soc. Am. 65 (1975), 376.
    • (1975) J. Opt. Soc. Am. , vol.65 , pp. 376
    • Kerker, M.1
  • 58
    • 0001331670 scopus 로고
    • Definition of artificially soft and hard surfaces for electromagnetic waves
    • P.-S. Kildal, Definition of artificially soft and hard surfaces for electromagnetic waves, Electron. Lett. 24 (1988), 168-170.
    • (1988) Electron. Lett. , vol.24 , pp. 168-170
    • Kildal, P.-S.1
  • 59
    • 0025508938 scopus 로고
    • Artificially soft and hard surfaces in electromagnetics
    • P.-S. Kildal, Artificially soft and hard surfaces in electromagnetics, IEEE Trans. Ant. and Prop. 38, no. 10, 1537-1544 (1990).
    • (1990) IEEE Trans. Ant. and Prop. , vol.38 , Issue.10 , pp. 1537-1544
    • Kildal, P.-S.1
  • 60
    • 48349110186 scopus 로고    scopus 로고
    • RF invisibility using metamaterials: Harry Potter's cloak or the Emperor's new clothes?
    • June.
    • P.-S. Kildal, A. Kishk, Z. Sipus, RF invisibility using metamaterials: Harry Potter's cloak or the Emperor's new clothes?, IEEE APS Int. Symp., Hawai, June, 2007.
    • (2007) IEEE APS Int. Symp., Hawai
    • Kildal, P.-S.1    Kishk, A.2    Sipus, Z.3
  • 61
    • 0034379523 scopus 로고    scopus 로고
    • Sobolev spaces with zero boundary values on metric spaces
    • MR1752853 (2000m:46071).
    • T. Kilpeläinen, J. Kinnunen, and O. Martio, Sobolev spaces with zero boundary values on metric spaces, Potential Anal. 12 (2000), 233-247. MR1752853 (2000m:46071)
    • (2000) Potential Anal , vol.12 , pp. 233-247
    • Kilpeläinen, T.1    Kinnunen, J.2    Martio, O.3
  • 63
    • 41849093698 scopus 로고    scopus 로고
    • Cloaking via change of variables in electrical impedance tomography
    • MR2384775.
    • R. Kohn, H. Shen, M. Vogelius, and M. Weinstein, Cloaking via change of variables in electrical impedance tomography, Inver. Prob. 24 (2008), 015016. MR2384775
    • (2008) Inver. Prob. , vol.24 , pp. 015016
    • Kohn, R.1    Shen, H.2    Vogelius, M.3    Weinstein, M.4
  • 65
    • 0021580594 scopus 로고
    • Identification of an unknown conductivity by means of measurements at the boundary
    • in, MR773707.
    • R. Kohn, M. Vogelius, Identification of an unknown conductivity by means of measurements at the boundary, in Inverse Problems, SIAM-AMS Proc. 14 (1984). MR773707
    • (1984) Inverse Problems, SIAM-AMS Proc , vol.14
    • Kohn, R.1    Vogelius, M.2
  • 66
    • 33645778239 scopus 로고    scopus 로고
    • Inverse conductivity problem with an imperfectly known boundary
    • MR2203860 (2007f:35298).
    • V. Kolehmainen, M. Lassas and P. Ola, Inverse conductivity problem with an imperfectly known boundary, SIAM J. Appl. Math. 66 (2005), 365-383. MR2203860 (2007f:35298)
    • (2005) SIAM J. Appl. Math. , vol.66 , pp. 365-383
    • Kolehmainen, V.1    Lassas, M.2    Ola, P.3
  • 67
    • 0008906113 scopus 로고
    • Multidimensional inverse boundary problems by the B-method: groups of transformations and uniqueness results
    • MR1245191 (95f:35178).
    • Y. Kurylev, Multidimensional inverse boundary problems by the B-method: groups of transformations and uniqueness results, Math. Comput. Modelling 18 (1993), 33-46. MR1245191 (95f:35178)
    • (1993) Math. Comput. Modelling , vol.18 , pp. 33-46
    • Kurylev, Y.1
  • 68
    • 33748439229 scopus 로고    scopus 로고
    • Maxwell's equations with a polarization independent wave velocity: Direct and inverse problems
    • MR2257731 (2007g:35245).
    • Y. Kurylev, M. Lassas, and E. Somersalo, Maxwell's equations with a polarization independent wave velocity: Direct and inverse problems, J. Math. Pures Appl. 86 (2006), 237-270. MR2257731 (2007g:35245)
    • (2006) J. Math. Pures Appl. , vol.86 , pp. 237-270
    • Kurylev, Y.1    Lassas, M.2    Somersalo, E.3
  • 70
    • 0038247455 scopus 로고    scopus 로고
    • Determining Riemannian manifold from boundary measurements
    • MR1862026 (2003e:58037).
    • M. Lassas and G. Uhlmann, Determining Riemannian manifold from boundary measurements, Ann. Sci. École Norm. Sup. 34 (2001), 771-787. MR1862026 (2003e:58037)
    • (2001) Ann. Sci. École Norm. Sup. , vol.34 , pp. 771-787
    • Lassas, M.1    Uhlmann, G.2
  • 71
    • 4043139315 scopus 로고    scopus 로고
    • The Dirichlet-to-Neumann map for complete Riemannian manifolds with boundary
    • MR2014876 (2004h:58033).
    • M. Lassas, M. Taylor, and G. Uhlmann, The Dirichlet-to-Neumann map for complete Riemannian manifolds with boundary, Comm. Geom. Anal. 11 (2003), 207-222. MR2014876 (2004h:58033)
    • (2003) Comm. Geom. Anal. , vol.11 , pp. 207-222
    • Lassas, M.1    Taylor, M.2    Uhlmann, G.3
  • 73
    • 84990609931 scopus 로고
    • Determining anisotropic real-analytic conductivities by boundary measurements
    • MR1029119 (91a:35166).
    • J. Lee and G. Uhlmann, Determining anisotropic real-analytic conductivities by boundary measurements, Comm. Pure Appl. Math. 42 (1989), 1097-1112. MR1029119 (91a:35166)
    • (1989) Comm. Pure Appl. Math. , vol.42 , pp. 1097-1112
    • Lee, J.1    Uhlmann, G.2
  • 74
    • 33745511017 scopus 로고    scopus 로고
    • Optical conformal mapping
    • MR2237569.
    • U. Leonhardt, Optical conformal mapping, Science 312 (2006), 1777-1780. MR2237569
    • (2006) Science , vol.312 , pp. 1777-1780
    • Leonhardt, U.1
  • 75
    • 33750320391 scopus 로고    scopus 로고
    • General relativity in electrical engineering
    • doi:10.1088/1367-2630/8/10/247.
    • U. Leonhardt and T. Philbin, General relativity in electrical engineering, New J. Phys. 8 (2006), 247; doi:10.1088/1367-2630/8/10/247.
    • (2006) New J. Phys. , vol.8 , pp. 247
    • Leonhardt, U.1    Philbin, T.2
  • 76
    • 57849142419 scopus 로고    scopus 로고
    • U. Leonhardt and D. Smith, eds., Focus issue on Cloaking and Transformation Optics, New Jour. Phys.
    • U. Leonhardt and D. Smith, eds., Focus issue on Cloaking and Transformation Optics, New Jour. Phys. (2008).
    • (2008)
  • 78
    • 0036630225 scopus 로고    scopus 로고
    • Generalized soft-and-hard surface
    • MR1929635 (2003i:78005).
    • I. Lindell, Generalized soft-and-hard surface, IEEE Tran. Ant. and Propag. 50 (2002), 926-929. MR1929635 (2003i:78005)
    • (2002) IEEE Tran. Ant. and Propag. , vol.50 , pp. 926-929
    • Lindell, I.1
  • 80
    • 33845439501 scopus 로고    scopus 로고
    • On perfect cloaking
    • D. Miller, On perfect cloaking, Opt. Exp. 14 (2006), 12457-12466.
    • (2006) Opt. Exp. , vol.14 , pp. 12457-12466
    • Miller, D.1
  • 81
    • 0004025336 scopus 로고    scopus 로고
    • The Theory of Composites
    • G. Milton, The Theory of Composites, Camb. U. Pr., 2001.
    • (2001) Camb. U. Pr.
    • Milton, G.1
  • 82
    • 35348901574 scopus 로고    scopus 로고
    • New metamaterials with macroscopic behavior outside that of continuum elastodynamics
    • G. Milton, New metamaterials with macroscopic behavior outside that of continuum elastodynamics, New Jour. Phys. 9 (2007), 359.
    • (2007) New Jour. Phys. , vol.9 , pp. 359
    • Milton, G.1
  • 83
    • 33750380823 scopus 로고    scopus 로고
    • On cloaking for elasticity and physical equations with a transformation invariant form
    • G. Milton, M. Briane, and J. Willis, On cloaking for elasticity and physical equations with a transformation invariant form, New J. Phys. 8 (2006), 248.
    • (2006) New J. Phys. , vol.8 , pp. 248
    • Milton, G.1    Briane, M.2    Willis, J.3
  • 84
    • 33750090448 scopus 로고    scopus 로고
    • On the cloaking effects associated with anomalous localized resonance
    • MR2263683 (2008e:78018).
    • G. Milton and N.-A. Nicorovici, On the cloaking effects associated with anomalous localized resonance, Proc. Royal Soc. A 462 (2006), 3027-3059. MR2263683 (2008e:78018)
    • (2006) Proc. Royal Soc. A , vol.462 , pp. 3027-3059
    • Milton, G.1    Nicorovici, N.-A.2
  • 85
    • 0000426306 scopus 로고
    • Reconstructions from boundary measurements
    • MR970610 (90i:35283).
    • A. Nachman, Reconstructions from boundary measurements. Ann. of Math. (2) 128 (1988), 531-576. MR970610 (90i:35283)
    • (1988) Ann. of Math , vol.2 , Issue.128 , pp. 531-576
    • Nachman, A.1
  • 86
    • 0030550779 scopus 로고    scopus 로고
    • Global uniqueness for a two-dimensional inverse boundary value problem
    • MR1370758 (96k:35189).
    • A. Nachman, Global uniqueness for a two-dimensional inverse boundary value problem, Ann. of Math. 143 (1996), 71-96. MR1370758 (96k:35189)
    • (1996) Ann. of Math. , vol.143 , pp. 71-96
    • Nachman, A.1
  • 87
    • 0021626802 scopus 로고
    • A multidimensional inverse scattering method
    • MR769078 (86e:81123a).
    • A. Nachman and M. Ablowitz, A multidimensional inverse scattering method, Studies in App. Math. 71 (1984), 243-250. MR769078 (86e:81123a)
    • (1984) Studies in App. Math. , vol.71 , pp. 243-250
    • Nachman, A.1    Ablowitz, M.2
  • 88
    • 0000636457 scopus 로고
    • An n-dimensional Borg-Levinson theorem
    • MR933457 (89g:35082).
    • A. Nachman, J. Sylvester and G. Uhlmann, An n-dimensional Borg-Levinson theorem, Comm. Math. Phys. 115 (1988), 595-605. MR933457 (89g:35082)
    • (1988) Comm. Math. Phys. , vol.115 , pp. 595-605
    • Nachman, A.1    Sylvester, J.2    Uhlmann, G.3
  • 89
    • 0001875067 scopus 로고
    • A multidimensional inverse spectral problem for the equation -Δψ + (ν(x)-Eu(x))ψ = 0. (Russian)
    • 96; Translation in Funct. Anal. Appl. 22 (1988), no. 4, 263-272 (1989).
    • R. Novikov, A multidimensional inverse spectral problem for the equation -Δψ + (ν(x)-Eu(x))ψ = 0. (Russian) Funktsional. Anal. i Prilozhen. 22 (1988), no. 4, 11-22, 96; Translation in Funct. Anal. Appl. 22 (1988), no. 4, 263-272 (1989) MR976992 (90h:35243)
    • (1988) Funktsional. Anal. i Prilozhen. , vol.22 , Issue.4 , pp. 11-22
    • Novikov, R.1
  • 90
    • 47749094642 scopus 로고    scopus 로고
    • Acoustic cloaking theory
    • doi:10.1098/rspa.2008.0076.
    • A. Norris, Acoustic cloaking theory, Proc. Royal Soc. A, doi:10.1098/rspa.2008.0076 (2008).
    • (2008) Proc Royal Soc. A
    • Norris, A.1
  • 91
    • 41549142736 scopus 로고    scopus 로고
    • A novel design of dielectric perfect invisibility devices
    • MR2406797.
    • T. Ochiai, U. Leonhardt and J. Nacher, A novel design of dielectric perfect invisibility devices, J. Math. Phys. 49 (2008), 032903. MR2406797
    • (2008) J. Math. Phys. , vol.49 , pp. 032903
    • Ochiai, T.1    Leonhardt, U.2    Nacher, J.3
  • 92
    • 84973999369 scopus 로고
    • An inverse boundary value problem in electrodynamics
    • MR1224101 (94i:35196).
    • P. Ola, L. Päivärinta, E. Somersalo, An inverse boundary value problem in electrodynamics. Duke Math. J. 70 (1993), 617-653. MR1224101 (94i:35196)
    • (1993) Duke Math. J. , vol.70 , pp. 617-653
    • Ola, P.1    Päivärinta, L.2    Somersalo, E.3
  • 93
    • 0037908702 scopus 로고    scopus 로고
    • Complex geometrical optics for Lipschitz conductivities
    • MR1993415 (2004f:35187).
    • L. Päivärinta, A. Panchenko and G. Uhlmann, Complex geometrical optics for Lipschitz conductivities, Rev. Mat. Iberoam. 19 (2003), 57-72. MR1993415 (2004f:35187)
    • (2003) Rev. Mat. Iberoam. , vol.19 , pp. 57-72
    • Päivärinta, L.1    Panchenko, A.2    Uhlmann, G.3
  • 94
    • 33745487138 scopus 로고    scopus 로고
    • Controlling electromagnetic fields
    • MR2237570.
    • J.B. Pendry, D. Schurig, and D.R. Smith, Controlling electromagnetic fields, Science 312 (2006), 1780-1782. MR2237570
    • (2006) Science , vol.312 , pp. 1780-1782
    • Pendry, J.B.1    Schurig, D.2    Smith, D.R.3
  • 95
    • 33750352819 scopus 로고    scopus 로고
    • Calculation of material properties and ray tracing in transformation media
    • J.B. Pendry, D. Schurig, and D.R. Smith, Calculation of material properties and ray tracing in transformation media, Opt. Exp. 14 (2006) 9794.
    • (2006) Opt. Exp. , vol.14 , pp. 9794
    • Pendry, J.B.1    Schurig, D.2    Smith, D.R.3
  • 96
    • 84868879568 scopus 로고    scopus 로고
    • Physorg, com, The Mathematics of Cloaking.
    • Physorg.com, The Mathematics of Cloaking, http://www.physorg.com/news86358402.html (Dec. 26, 2006).
    • (2006)
  • 97
    • 40749139332 scopus 로고    scopus 로고
    • Design of electromagnetic cloaks and concentrators using form-invariant coordinate transformations of Maxwell's equations
    • M. Rahm, D. Schurig, D. Roberts, S. Cummer, D. Smith, J. Pendry, Design of electromagnetic cloaks and concentrators using form-invariant coordinate transformations of Maxwell's equations, Photonics and Nanostructures, 6 (2008), 87-95.
    • (2008) Photonics and Nanostructures , vol.6 , pp. 87-95
    • Rahm, M.1    Schurig, D.2    Roberts, D.3    Cummer, S.4    Smith, D.5    Pendry, J.6
  • 98
    • 40749095931 scopus 로고    scopus 로고
    • Optical design of reflectionless complex media by finite embedded coordinate transformations
    • M. Rahm, S. Cummer, D. Schurig, J. Pendry and D. Smith, Optical design of reflectionless complex media by finite embedded coordinate transformations, Phys. Rev. Lett. 100 (2008), 063903.
    • (2008) Phys. Rev. Lett. , vol.100 , pp. 063903
    • Rahm, M.1    Cummer, S.2    Schurig, D.3    Pendry, J.4    Smith, D.5
  • 99
    • 34548760813 scopus 로고    scopus 로고
    • Ideal cylindrical cloak: Perfect but sensitive to tiny perturbations
    • Z. Ruan, M. Yan, C. Neff and M. Qiu, Ideal cylindrical cloak: Perfect but sensitive to tiny perturbations, Phys. Rev. Lett. 99 (2007), 113903.
    • (2007) Phys. Rev. Lett. , vol.99 , pp. 113903
    • Ruan, Z.1    Yan, M.2    Neff, C.3    Qiu, M.4
  • 102
    • 35948934340 scopus 로고    scopus 로고
    • Transformation-designed optical elements
    • D. Schurig, J. Pendry, D. R. Smith, Transformation-designed optical elements Optics Express 15 (2007), 14772-14782.
    • (2007) Optics Express , vol.15 , pp. 14772-14782
    • Schurig, D.1    Pendry, J.2    Smith, D.R.3
  • 103
    • 37649009899 scopus 로고    scopus 로고
    • Metamaterials add an extra dimension
    • G. Shvets, Metamaterials add an extra dimension, Nature Materials 7 (2008), 7-8.
    • (2008) Nature Materials , vol.7 , pp. 7-8
    • Shvets, G.1
  • 104
    • 33645743042 scopus 로고    scopus 로고
    • Homogenization of metamaterials by field averaging
    • D. Smith and J. Pendry, Homogenization of metamaterials by field averaging, Jour. Opt. Soc. Am. B 23 (2006), 391-403.
    • (2006) Jour. Opt. Soc. Am. B , vol.23 , pp. 391-403
    • Smith, D.1    Pendry, J.2
  • 106
    • 0142062428 scopus 로고    scopus 로고
    • Anisotropic inverse problems in two dimensions
    • MR2024685 (2004k:35415).
    • Z. Sun and G. Uhlmann, Anisotropic inverse problems in two dimensions, Inverse Problems 19 (2003), 1001-1010. MR2024685 (2004k:35415)
    • (2003) Inverse Problems , vol.19 , pp. 1001-1010
    • Sun, Z.1    Uhlmann, G.2
  • 107
    • 84990586454 scopus 로고
    • An anisotropic inverse boundary value problem
    • MR1038142 (90m:35202).
    • J. Sylvester, An anisotropic inverse boundary value problem, Comm. Pure Appl. Math. 43 (1990), 201-232. MR1038142 (90m:35202)
    • (1990) Comm. Pure Appl. Math. , vol.43 , pp. 201-232
    • Sylvester, J.1
  • 108
    • 84990623248 scopus 로고
    • A uniqueness theorem for an inverse boundary value problem in electrical prospection
    • MR820341 (87j:35377).
    • J. Sylvester and G. Uhlmann, A uniqueness theorem for an inverse boundary value problem in electrical prospection, Comm. Pure Appl. Math. 39 (1986), 91-112. MR820341 (87j:35377)
    • (1986) Comm. Pure Appl. Math. , vol.39 , pp. 91-112
    • Sylvester, J.1    Uhlmann, G.2
  • 109
    • 0001110912 scopus 로고
    • A global uniqueness theorem for an inverse boundary value problem
    • MR873380 (88b:35205).
    • J. Sylvester and G. Uhlmann, A global uniqueness theorem for an inverse boundary value problem, Ann. of Math. 125 (1987), 153-169. MR873380 (88b:35205)
    • (1987) Ann. of Math. , vol.125 , pp. 153-169
    • Sylvester, J.1    Uhlmann, G.2
  • 110
    • 38049037488 scopus 로고    scopus 로고
    • Optics: Watch your back
    • (3 January), doi:10.1038/451027a.
    • K. Tsakmakidis and O. Hess, Optics: Watch your back, Nature 451, 27 (3 January 2008), doi:10.1038/451027a.
    • (2008) Nature , vol.451 , pp. 27
    • Tsakmakidis, K.1    Hess, O.2
  • 111
    • 27744598100 scopus 로고    scopus 로고
    • Scattering by a metric
    • Chap. 6.1.5, in R. Pike and P. Sabatier, eds., Academic Pr. MR1878885 (2003f:00011).
    • G. Uhlmann, Scattering by a metric, Chap. 6.1.5, in Encyclopedia on Scattering, R. Pike and P. Sabatier, eds., Academic Pr. (2002), 1668-1677. MR1878885 (2003f:00011)
    • (2002) Encyclopedia on Scattering , pp. 1668-1677
    • Uhlmann, G.1
  • 113
    • 0000805133 scopus 로고
    • Inverse boundary value problems and applications
    • MR1205179 (94e:35146).
    • G. Uhlmann, Inverse boundary value problems and applications, Astérisque 207 (1992), 153-211. MR1205179 (94e:35146)
    • (1992) Astérisque , vol.207 , pp. 153-211
    • Uhlmann, G.1
  • 114
    • 36248988063 scopus 로고    scopus 로고
    • Complex spherical waves and reconstruction of discontinuities
    • MR2299437 (2008a:35295).
    • G. Uhlmann and J.-N. Wang, Complex spherical waves and reconstruction of discontinuities, SIAM J. Appl. Math., SIAM J. Math. Analysis 38 (2007), 1967-1980. MR2299437 (2008a:35295)
    • (2007) SIAM J. Appl. Math., SIAM J. Math. Analysis , vol.38 , pp. 1967-1980
    • Uhlmann, G.1    Wang, J.-N.2
  • 115
    • 0036608481 scopus 로고    scopus 로고
    • Low-energy inverse problems in three-body scattering
    • MR1910198 (2003c:81221).
    • G. Uhlmann, A. Vasy, Low-energy inverse problems in three-body scattering. Inverse Problems 18 (2002), 719-736. MR1910198 (2003c:81221)
    • (2002) Inverse Problems , vol.18 , pp. 719-736
    • Uhlmann, G.1    Vasy, A.2
  • 117
    • 0030127061 scopus 로고    scopus 로고
    • Refraction and geometry in Maxwell's equations
    • MR1390260 (97b:78013).
    • A. Ward and J. Pendry, Refraction and geometry in Maxwell's equations, Jour. Modern Opt. 43 (1996), 773-793. MR1390260 (97b:78013)
    • (1996) Jour. Modern Opt. , vol.43 , pp. 773-793
    • Ward, A.1    Pendry, J.2
  • 119
    • 43049107583 scopus 로고    scopus 로고
    • A rigorous analysis of high order electromagnetic invisibility cloaks
    • R. Weder, A rigorous analysis of high order electromagnetic invisibility cloaks, Jour. Phys. A: Math. Theor. 41 (2008), 065207.
    • (2008) Jour. Phys. A: Math. Theor. , vol.41 , pp. 065207
    • Weder, R.1
  • 123
    • 37549037908 scopus 로고    scopus 로고
    • Scattering characteristics of simplified cylindrical invisibility cloaks
    • M. Yan, Z. Ruan and M. Qiu, Scattering characteristics of simplified cylindrical invisibility cloaks, Opt. Exp. 15 (2007), 17772.
    • (2007) Opt. Exp. , vol.15 , pp. 17772
    • Yan, M.1    Ruan, Z.2    Qiu, M.3
  • 124
    • 34548456042 scopus 로고    scopus 로고
    • Response of a cylindrical invisibility cloak to electromagnetic waves
    • 121101(R)
    • B. Zhang, et al., Response of a cylindrical invisibility cloak to electromagnetic waves, Phys. Rev. B 76 (2007), 121101(R).
    • (2007) Phys. Rev. B , vol.76
    • Zhang, B.1
  • 125
    • 40749153033 scopus 로고    scopus 로고
    • Extraordinary surface voltage effect in the invisibility cloak with an active device inside
    • B. Zhang, et al., Extraordinary surface voltage effect in the invisibility cloak with an active device inside, Phys. Rev. Lett. 100 (2008), 063904.
    • (2008) Phys. Rev. Lett. , vol.100 , pp. 063904
    • Zhang, B.1
  • 127
    • 34147187215 scopus 로고    scopus 로고
    • Electromagnetic analysis of cylindrical invisibility cloaks and the mirage effect
    • F. Zolla, S, Guenneau, A. Nicolet and J. Pendry, Electromagnetic analysis of cylindrical invisibility cloaks and the mirage effect, Opt. Lett. 32 (2007), 1069-1071.
    • (2007) Opt. Lett. , vol.32 , pp. 1069-1071
    • Zolla, F.1    Guenneau, S.2    Nicolet, A.3    Pendry, J.4


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