368
E. Khan and E. Narimanov
26. Z. Jacob, L.V. Alekseyev, E. Narimanov, Optical hyperlens: far-field imaging beyond the
diffraction limit. Opt. Express 14(18), 8247–8256 (2006)
27. A. Salandrino, N. Engheta, Far-field subdiffraction optical microscopy using metamaterial
crystals: theory and simulations. Phys. Rev. B Condens. Matter 74(7), 075103 (2006)
28. Z. Liu, H. Lee, Y. Xiong, C. Sun, X. Zhang, Far-field optical hyperlens magnifying subdiffraction-limited objects. Science 315(5819), 1686 (2007)
29. E. Narimanov, Hyperstructured illumination. ACS Photonics 3(6), 1090–1094 (2016)
30. M. Schubert, T. Tiwald, C. Herzinger, Infrared dielectric anisotropy and phonon modes of
sapphire. Phys. Rev. B Condens. Matter 61(12), 8187 (2000)
31. M. Autore, P. Li, I. Dolado, F.J. Alfaro-Mozaz, R. Esteban, A. Atxabal, F. Casanova, L.E. Hueso,
P. Alonso-González, J. Aizpurua et al., Boron nitride nanoresonators for phonon-enhanced
molecular vibrational spectroscopy at the strong coupling limit. Light Sci. Appl. 7(4), 17172
(2018)
32. E.E. Narimanov, A.V. Kildishev, Metamaterials: naturally hyperbolic. Nat. Photonics 9(4), 214
(2015)
33. M. Esslinger, R. Vogelgesang, N. Talebi, W. Khunsin, P. Gehring, S. De Zuani, B. Gompf,
K. Kern, Tetradymites as natural hyperbolic materials for the near-infrared to visible. ACS
Photonics 1(12), 1285–1289 (2014)
34. D. Smith, D. Schurig, Electromagnetic wave propagation in media with indefinite permittivity
and permeability tensors. Phys. Rev. Lett. 90(7), 077405 (2003)
35. A.J. Hoffman, L. Alekseyev, S.S. Howard, K.J. Franz, D. Wasserman, V.A. Podolskiy, E.E.
Narimanov, D.L. Sivco, C. Gmachl, Negative refraction in semiconductor metamaterials. Nat.
Mater. 6(12), 946–950 (2007)
36. W. Dickson, G. Wurtz, P. Evans, D. OConnor, R. Atkinson, R. Pollard, A. Zayats, Dielectricloaded plasmonic nanoantenna arrays: a metamaterial with tuneable optical properties. Phys.
Rev. B Condens. Matter 76(11), 115411 (2007)
37. L.V. Alekseyev, V.A. Podolskiy, E.E. Narimanov, Homogeneous hyperbolic systems for terahertz and far-infrared frequencies. Adv. OptoElectron. 2012 (2012)
38. G.W. Milton, The Theory of Composites (Cambridge University Press, Cambridge, 2002)
39. J.-L. Lagrange, Sur une Loi generale d’Optique (Memoires de l’Academie de Berlin, 1803)
40. H. von Helmholtz, On the limits of the optical capacity of the microscope. Proc. Bristol Nat.
Soc. 1, 435–440 (1874)
41. E.K. Abbe, Archiv für mikroskopische Anatomie 9(1), 413–468 (1873); Proc. Bristol Naturalists’ Soc. 1, 200–261 (1874)
42. S. Durant, Z. Liu, J.M. Steele, X. Zhang, Theory of the transmission properties of an optical farfield superlens for imaging beyond the diffraction limit. J. Opt. Soc. Am. B 23(11), 2383–2392
(2006)
43. Z. Liu, S. Durant, H. Lee, Y. Pikus, N. Fang, Y. Xiong, C. Sun, X. Zhang, Far-field optical
superlens. Nano Lett. 7(2), 403–408 (2007)
44. Y. Xiong, Z. Liu, C. Sun, X. Zhang, Two-dimensional imaging by far-field superlens at visible
wavelengths. Nano Lett. 7(11), 3360–3365 (2007)
45. J. Rho, Z. Ye, Y. Xiong, X. Yin, Z. Liu, H. Choi, G. Bartal, X. Zhang, Spherical hyperlens for
two-dimensional sub-diffractional imaging at visible frequencies. Nat. Commun. 1, 143 (2010)
46. J. Li, L. Fok, X. Yin, G. Bartal, X. Zhang, Experimental demonstration of an acoustic magnifying hyperlens. Nat. Mater. 8(12), 931 (2009)
47. S. Schwaiger, A. Rottler, M. Bröll, J. Ehlermann, A. Stemmann, D. Stickler, C. Heyn, D.
Heitmann, S. Mendach, Broadband operation of rolled-up hyperlenses. Phys. Rev. B Condens.
Matter 85(23), 235309 (2012)
48. J. Sun, T. Xu, N.M. Litchinitser, Experimental demonstration of demagnifying hyperlens. Nano
Lett. 16(12), 7905–7909 (2016)
49. P.A. Belov, G.K. Palikaras, Y. Zhao, A. Rahman, C.R. Simovski, Y. Hao, C. Parini, Experimental demonstration of multiwire endoscopes capable of manipulating near-fields with subwavelength resolution. Appl. Phys. Lett. 97(19), 191905 (2010)
E. Khan and E. Narimanov
26. Z. Jacob, L.V. Alekseyev, E. Narimanov, Optical hyperlens: far-field imaging beyond the
diffraction limit. Opt. Express 14(18), 8247–8256 (2006)
27. A. Salandrino, N. Engheta, Far-field subdiffraction optical microscopy using metamaterial
crystals: theory and simulations. Phys. Rev. B Condens. Matter 74(7), 075103 (2006)
28. Z. Liu, H. Lee, Y. Xiong, C. Sun, X. Zhang, Far-field optical hyperlens magnifying subdiffraction-limited objects. Science 315(5819), 1686 (2007)
29. E. Narimanov, Hyperstructured illumination. ACS Photonics 3(6), 1090–1094 (2016)
30. M. Schubert, T. Tiwald, C. Herzinger, Infrared dielectric anisotropy and phonon modes of
sapphire. Phys. Rev. B Condens. Matter 61(12), 8187 (2000)
31. M. Autore, P. Li, I. Dolado, F.J. Alfaro-Mozaz, R. Esteban, A. Atxabal, F. Casanova, L.E. Hueso,
P. Alonso-González, J. Aizpurua et al., Boron nitride nanoresonators for phonon-enhanced
molecular vibrational spectroscopy at the strong coupling limit. Light Sci. Appl. 7(4), 17172
(2018)
32. E.E. Narimanov, A.V. Kildishev, Metamaterials: naturally hyperbolic. Nat. Photonics 9(4), 214
(2015)
33. M. Esslinger, R. Vogelgesang, N. Talebi, W. Khunsin, P. Gehring, S. De Zuani, B. Gompf,
K. Kern, Tetradymites as natural hyperbolic materials for the near-infrared to visible. ACS
Photonics 1(12), 1285–1289 (2014)
34. D. Smith, D. Schurig, Electromagnetic wave propagation in media with indefinite permittivity
and permeability tensors. Phys. Rev. Lett. 90(7), 077405 (2003)
35. A.J. Hoffman, L. Alekseyev, S.S. Howard, K.J. Franz, D. Wasserman, V.A. Podolskiy, E.E.
Narimanov, D.L. Sivco, C. Gmachl, Negative refraction in semiconductor metamaterials. Nat.
Mater. 6(12), 946–950 (2007)
36. W. Dickson, G. Wurtz, P. Evans, D. OConnor, R. Atkinson, R. Pollard, A. Zayats, Dielectricloaded plasmonic nanoantenna arrays: a metamaterial with tuneable optical properties. Phys.
Rev. B Condens. Matter 76(11), 115411 (2007)
37. L.V. Alekseyev, V.A. Podolskiy, E.E. Narimanov, Homogeneous hyperbolic systems for terahertz and far-infrared frequencies. Adv. OptoElectron. 2012 (2012)
38. G.W. Milton, The Theory of Composites (Cambridge University Press, Cambridge, 2002)
39. J.-L. Lagrange, Sur une Loi generale d’Optique (Memoires de l’Academie de Berlin, 1803)
40. H. von Helmholtz, On the limits of the optical capacity of the microscope. Proc. Bristol Nat.
Soc. 1, 435–440 (1874)
41. E.K. Abbe, Archiv für mikroskopische Anatomie 9(1), 413–468 (1873); Proc. Bristol Naturalists’ Soc. 1, 200–261 (1874)
42. S. Durant, Z. Liu, J.M. Steele, X. Zhang, Theory of the transmission properties of an optical farfield superlens for imaging beyond the diffraction limit. J. Opt. Soc. Am. B 23(11), 2383–2392
(2006)
43. Z. Liu, S. Durant, H. Lee, Y. Pikus, N. Fang, Y. Xiong, C. Sun, X. Zhang, Far-field optical
superlens. Nano Lett. 7(2), 403–408 (2007)
44. Y. Xiong, Z. Liu, C. Sun, X. Zhang, Two-dimensional imaging by far-field superlens at visible
wavelengths. Nano Lett. 7(11), 3360–3365 (2007)
45. J. Rho, Z. Ye, Y. Xiong, X. Yin, Z. Liu, H. Choi, G. Bartal, X. Zhang, Spherical hyperlens for
two-dimensional sub-diffractional imaging at visible frequencies. Nat. Commun. 1, 143 (2010)
46. J. Li, L. Fok, X. Yin, G. Bartal, X. Zhang, Experimental demonstration of an acoustic magnifying hyperlens. Nat. Mater. 8(12), 931 (2009)
47. S. Schwaiger, A. Rottler, M. Bröll, J. Ehlermann, A. Stemmann, D. Stickler, C. Heyn, D.
Heitmann, S. Mendach, Broadband operation of rolled-up hyperlenses. Phys. Rev. B Condens.
Matter 85(23), 235309 (2012)
48. J. Sun, T. Xu, N.M. Litchinitser, Experimental demonstration of demagnifying hyperlens. Nano
Lett. 16(12), 7905–7909 (2016)
49. P.A. Belov, G.K. Palikaras, Y. Zhao, A. Rahman, C.R. Simovski, Y. Hao, C. Parini, Experimental demonstration of multiwire endoscopes capable of manipulating near-fields with subwavelength resolution. Appl. Phys. Lett. 97(19), 191905 (2010)
