Analytical study of subwavelength imaging by uniaxial epsilon-near-zero metamaterial slabs

Physical Review B - Condensed Matter and Materials Physics

Volumn 86, Issue 11, 2012, Pages

  Castaldi, Giuseppe ^a   Savoia, Silvio ^a   Galdi, Vincenzo ^a   Alù, Andrea ^b   Engheta, Nader ^c  

^a UNIVERSITY OF SANNIO   (Italy)

^b The University of Texas at Austin   (United States)

^c UNIVERSITY OF PENNSYLVANIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84866353908     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.86.115123     Document Type: Article

References (54)

1. J. B. Pendry, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.85. 3966 85, 3966 (2000). (Pubitemid 32027228)
2. Z. Liu, N. Fang, T.-J. Yen, and X. Zhang, Appl. Phys. Lett. APPLAB 0003-6951 10.1063/1.1636250 83, 5184 (2003).
3. D. Melville and R. Blaikie, Opt. Express OPEXFF 1094-4087 10.1364/OPEX.13.002127 13, 2127 (2005). (Pubitemid 40548777)
4. N. Fang, H. Lee, C. Sun, and X. Zhang, Science SCIEAS 0036-8075 10.1126/science.1108759 308, 534 (2005). (Pubitemid 40570580)
5. S. A. Ramakrishna, J. B. Pendry, M. C. K. Wiltshire, and W. J. Stewart, J. Mod. Opt. 10.1080/09500340308235215 50, 1419 (2003).
6. S. A. Ramakrishna and J. B. Pendry, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.67.201101 67, 201101 (R) (2003).
7. W. Cai, D. A. Genov, and V. M. Shalaev, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.72.193101 72, 193101 (2005). (Pubitemid 43029509)
8. B. Wood, J. B. Pendry, and D. P. Tsai, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.74.115116 74, 115116 (2006). (Pubitemid 44427566)
9. K. J. Webb and M. Yang, Opt. Lett. OPLEDP 0146-9592 10.1364/OL.31.002130 31, 2130 (2006). (Pubitemid 44542707)
10. A. Salandrino and N. Engheta, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.74.075103 74, 075103 (2006). (Pubitemid 44246517)
11. P. A. Belov and Y. Hao, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.73.113110 73, 113110 (2006). (Pubitemid 43418702)
12. X. Li, S. He, and Y. Jin, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.75.045103 75, 045103 (2007).
13. P. A. Belov, Y. Zhao, Y. Hao, and C. Parini, Opt. Lett. OPLEDP 0146-9592 10.1364/OL.34.000527 34, 527 (2009).
14. B. Zeng, X. Yang, C. Wang, Q. Feng, and X. Luo, J. Opt. JOOPDB 0150-536X 10.1088/2040-8978/12/3/035104 12, 035104 (2010).
15. R. Kotynski and T. Stefaniuk, Opt. Lett. OPLEDP 0146-9592 10.1364/OL.35.001133 35, 1133 (2010).
16. Y. Jin, Prog. Electromagn. Res. (PIER) 1559-8985 10.2528/PIER10051309 105, 347 (2010).
17. H. Liu and K. J. Webb, Opt. Lett. OPLEDP 0146-9592 10.1364/OL.35.001869 35, 1869 (2010).
18. R. Kotynski, T. Stefaniuk, and A. Pastuszczak, Appl. Phys. A APAMFC 0947-8396 10.1007/s00339-011-6286-3 103, 905 (2011).
19. J. Wang, H. Y. Dong, K. H. Fung, T. J. Cui, and N. X. Fang, Opt. Express OPEXFF 1094-4087 10.1364/OE.19.016809 19, 16809 (2011).
20. A. Alú and N. Engheta, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.72.016623 72, 016623 (2005). (Pubitemid 41521177)
21. D. S. Filonov, A. P. Slobozhanyuk, P. A. Belov, and Y. S. Kivshar, Phys. Status Solidi RRL 1862-6254 10.1002/pssr.201105475 6, 46 (2012).
22. D. C. Adams, S. Inampudi, T. Ribaudo, D. Slocum, S. Vangala, N.A. Kuhta, W. D. Goodhue, V. A. Podolskiy, and D. Wasserman, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.107.133901 107, 133901 (2011).
23. K. Halterman, S. Feng, and V. C. Nguyen, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.84.075162 84, 075162 (2011).
24. A. A. Asatryan, L. C. Botten, M. A. Byrne, V. D. Freilikher, S. A. Gredeskul, I. V. Shadrivov, R. C. McPhedran, and Y. S. Kivshar, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.85.045122 85, 045122 (2012).
25. S. Feng, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.108.193904 108, 193904 (2012).
26. C. Argyropoulos, P. Y. Chen, G. D'Aguanno, N. Engheta, and A.Alú, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.85.045129 85, 045129 (2012).
27. C. Argyropoulos, P. Y. Chen, F. Monticone, G. D'Aguanno, and A.Alú, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.108.263905 108, 263905 (2012).
28. P. A. Belov, C. R. Simovski, and P. Ikonen, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.71.193105 71, 193105 (2005). (Pubitemid 43285256)
29. P. A. Belov, Y. Hao, and S. Sudhakaran, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.73.033108 73, 033108 (2006). (Pubitemid 43270576)
30. P. A. Belov and M. G. Silveirinha, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.73.056607 73, 056607 (2006). (Pubitemid 43763725)
31. M. Tsang and D. Psaltis, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.77.035122 77, 035122 (2008).
32. W. Yan, M. Yan, and M. Qiu, J. Opt. Soc. Am. B JOBPDE 0740-3224 10.1364/JOSAB.26.000B39 26, B39 (2009).
33. I. Gallina, G. Castaldi, V. Galdi, A. Alù, and N. Engheta, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.81.125124 81, 125124 (2010).
34. J. Elser, V. A. Podolskiy, I. Salakhutdinov, and I. Avrutsky, Appl. Phys. Lett. APPLAB 0003-6951 10.1063/1.2737935 90, 191109 (2007). (Pubitemid 46738065)
35. A. A. Orlov, P. M. Voroshilov, P. A. Belov, and Y. S. Kivshar, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.84.045424 84, 045424 (2011).
36. G. Castaldi, V. Galdi, A. Alù, and N. Engheta, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.108.063902 108, 063902 (2012).
37. P. A. Belov, R. Marques, S. I. Maslovski, I. S. Nefedov, M.Silveirinha, C. R. Simovski, and S. A. Tretyakov, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.67.113103 67, 113103 (2003).
38. C. R. Simovski and P. A. Belov, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.70.046616 70, 046616 (2004). (Pubitemid 40010395)
39. R. J. Pollard, A. Murphy, W. R. Hendren, P. R. Evans, R. Atkinson, G. A. Wurtz, A. V. Zayats, and V. A. Podolskiy, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.102.127405 102, 127405 (2009).
40. A. Sihvola, Electromagnetic Mixing Formulas and Applications (IEE Publishing, London, UK, 1999).
41. M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions, 9th ed. (Dover, New York, 1970).
42. L. B. Felsen and N. Marcuvitz, Radiation and Scattering of Waves (IEEE-Wiley, Piscataway, NJ, 1994).
43. Z. Zhu, S. L. Dvorak, D. L. Heckmann, and J. L. Prince, Radio Sci. RASCAD 0048-6604 10.1029/2004RS003231 40, 1 (2005). (Pubitemid 43253132)
44. M. M. Agrest and M. S. Maksimov, Theory of Incomplete Cylindrical Functions and Their Applications (Springer, New York, 1971).
45. S. L. Dvorak, IEEE Antennas Propagat. Mag. IAPMEZ 1045-9243 10.1109/74.370525 36, 26 (1994).
46. G. A. Baker Jr. and P. Graves-Morris, Padé Approximants (Cambridge University Press, Cambridge, 1996).
47. A. Alù, M. G. Silveirinha, A. Salandrino, and N. Engheta, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.75.155410 75, 155410 (2007).
48. C. Rizza, A. Di Falco, and A. Ciattoni, Appl. Phys. Lett. APPLAB 0003-6951 10.1063/1.3665414 99, 221107 (2011).
49. H. N. S. Krishnamoorthy, Z. Jacob, E. Narimanov, I. Kretzschmar, and V. M. Menon, Science SCIEAS 0036-8075 10.1126/science.1219171 336, 205 (2012).
50. S. L. Dvorak, IEEE Trans. Microwave Theory Tech. IETMAB 0018-9480 10.1109/22.330133 42, 2164 (1994).
51. S. L. Dvorak and D. G. Dudley, IEEE Trans. Electromagn. Compat. IEMCAE 0018-9375 10.1109/15.385883 37, 192 (1995).
52. M. Wu, R. G. Olsen, and S. W. Plate, J. Electromagn. Waves Appl. 4, 479 (1990).
53. E. A. Coddington and N. Levinson, Theory of Ordinary Differential Equations (McGraw-Hill, New York, 1955).
54. Note that the H 0 (1) terms in Eq. cancel out when substituted into Eq..