Dispersion Engineering: The Use of Abnormal Velocities and Negative Index of Refraction to Control Dispersive Effects

Negative-Refraction Metamaterials: Fundamental Principles and Applications

Volumn , Issue , 2005, Pages 381-411

  Mojahedi, Mohammad ^a   Eleftheriades, George V ^a  

^a UNIVERSITY OF TORONTO   (Canada)

Author keywords

Abnormal velocities; Dispersion engineering; Negative group index; Negative refraction index; Wave propagation

Indexed keywords

EID: 84890305501     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1002/0471744751.ch10     Document Type: Chapter

References (41)

1. V. G. Veselago, "Properties of materials having simultaneously negative values of the dielectric ε and the magnetic μ susceptibilities," Sov. Phys. Solid State, vol. 8, pp. 2854-2856, 1967.
2. V. G. Veselago, "The electrodynamics of substances with simultaneously negative values of ε and μ," Sov. Phys. Usp., vol. 10, no. 4, pp. 509-514, January-February 1968.
3. R. A. Shelby, D. R. Smith, and S. Schultz, "Experimental verification of a negative index of refraction," Science, vol. 292, pp. 77-79, 2001.
4. D. R. Smith, W. J. Padilla, D. C. Vier, S. C. Nemat-Nasser, and S. Schultz, "Composite medium with simultaneously negative permeability and permittivity" Phys. Rev. Lett., vol. 84, pp. 4184-4187, 2000.
5. R. Y. Chiao and A. M. Steinberg, "Tunneling Times and Superluminality," Progress in Optics, vol. 37, pp. 345-405, 1997.
6. A. M. Steinberg, P. G. Kwiat, and R. Y. Chiao, "Measurement of the singlephoton tunneling time," Phys. Rev. Lett., vol. 71, pp. 708-711, 1993.
7. M. Mojahedi, E. Schamiloglu, K. Agi, and K. J. Malloy, "Frequency domain detection of superluminal group velocities in a distributed Bragg reflector" IEEE J. Quantum Electron., vol. 36, pp. 418-424, 2000.
8. M. Mojahedi, E. Schamiloglu, F. Hegeler, and K. J. Malloy, 'Time-domain detection of superluminal group velocity for single microwave pulses, " Phys. Rev. E, vol. 62, pp. 5758-5766, 2000.
9. M. Mojahedi, K. J. Malloy, G. V. Eleftheriades, J. Woodley, and R. Y. Chiao, "Abnormal wave propagation in passive media," IEEE J. Sei. Top. Quantum Electron., vol. 9, pp. 30-39, 2003.
10. G. B. Arfken, Mathematical Methods for Physicists, 3rd ed., Academic Press, Orlando, FL, 1985.
11. J. D. Jackson, Classical Electrodynamics, 3rd ed., John Wiley & Sons, New York, 1998.
12. A. Papoulis, The Fourier Integral and its Applications, McGraw-Hill, New York, 1962.
13. H. M. Nussenzveig, Causality and Dispersion Relations, Academic Press, New York, 1972.
14. S. Ramo, J. R. Whinnery, and T. Van Duzer, Fields and Waves in Communication Electronics, 3rd ed., John Wiley & Sons, New York, 1994.
15. G. V. Eleftheriades, A. K. Iyer, and P. C. Kremer, "Planar negative refractive index media using periodically L-C loaded transmission lines," IEEE Trans. Microwave Theory Tech., vol. 50, pp. 2702-2712, December 2002.
16. M. Notomi, "Theory of light propagation in strongly modulated photonic crystals: Refractionlike behavior in the vicinity of the photonic band gap," Phys. Rev. B, vol. 62, pp. 10696-10705, 2000.
17. R. Marques, J. Martel, F. Mesa, and F. Medina, "Left-handed-media simulation and transmission of EM waves in subwavelength split-ring-resonator-loaded metallic waveguides," Phys. Rev. Lett., vol. 89, 183901, 2002.
18. E. L. Bolda, R. Y. Chiao, and J. C. Garrison, "Two theorems for the group velocity in dispersive media," Phys. Rev. A, vol. 48, pp. 3890-3894, 1993.
19. E. L. Bolda, J. C. Garrison, and R. Y. Chiao, "Optical pulse-propagation at negative group velocities due to a nearby gain line," Phys. Rev. A, vol. 49, pp. 2938-2947, 1994.
20. L. J. Wang, A. Kuzmich, and A. Dogariu, "Gain-assisted superluminal light propagation," Nature, vol. 406, pp. 277-279, 2000.
21. M. D. Stenner, D. J. Gauthier, and M. A. Neifeld, 'The speed of information in a 'fast-light' optical medium, " Nature, vol. 425, pp. 695-698, 2003.
22. J. Woodley and M. Mojahedi, "Negative group velocity in left-handed materials," presented at 2003 IEEE International Symposium on Antennas and Propagation: URSI North American Radio Science Meeting, Columbus, OH, USA, 2003.
23. L. Brillouin, Wave Propagation and Group Velocity, Academic Press, New York, 1960.
24. L. Brillouin, Wave Propagation in Periodic Structures: Electric Filters and Crystal Lattices, 1st ed., McGraw-Hill, New York, 1946.
25. M. Born and E. Wolf, Principles of Optics, 4th ed., Pergamon Press, New York, 1970.
26. L. D. Landau, E. M. Lifshittz, and L. P. Pitaevski, Electrodynamics of Continuous Media, 2nd rev. and enl. ed., Pergamon Press, New York, 1984.
27. C. G. B. Garrett and D. E. McCumber, "Propagation of a Gaussian light pulse through an anomalous dispersion medium," Phys. Rev. A, vol. 1, pp. 305313, 1970.
28. S. Chu and S. Wong, "Linear pulse-propagation in an absorbing medium," Phys. Rev. Lett., vol. 48, pp. 738-741, 1982.
29. A. Ranfagni, D. Mugnai, P. Fabeni, and G. P. Pazzi, "Delay-time measurements in narrowed wave-guides as a test of tunneling," Appl. Phys. Lett., vol. 58, pp. 774-776, 1991.
30. A. Enders and G. Nimtz, "Photonic-tunneling experiments," Phys. Rev. B, vol. 47, pp. 9605-9609, 1993.
31. A. Ranfagni, P. Fabeni, G. P. Pazzi, and D. Mugnai, "Anomalous pulse delay in microwave propagation: A plausible connection to the tunneling time," Phys. Rev. E, vol. 48, pp. 1453-1460, 1993.
32. P. Balcou and L. Dutriaux, "Dual optical tunneling times in frustrated total internal-reflection," Phys. Rev. Lett., vol. 78, pp. 851-854, 1997.
33. D. Mugnai, A. Ranfagni, and L. Ronchi, "The question of tunneling time duration: A new experimental test at microwave scale," Phys. Lett. A, vol. 247, pp. 281-286, 1998.
34. R. Y. Chiao and J. Boyce, "Superluminality; parelectricity; and Earnshaws theorem in media with inverted populations," Phys. Rev. Lett., vol. 73, pp. 33833386, 1994.
35. R. A. Shelby, D. R. Smith, S. C. Nemat-Nasser, and S. Schultz, "Microwave transmission through a two-dimensional, isotropic, left-handed metamaterial," Appl. Phys. Lett., vol. 78, pp. 489-91, 2001.
36. D. R. Smith and N. Kroll, "Negative refractive index in left-handed materials," Phys. Rev. Lett., vol. 85, pp. 2933-2936, October 2000.
37. D. M. Pozar, Microwave Engineering, 2nd ed., John Wiley & Sons, New York, 1998.
38. R. E. Collin, Foundations for Microwave Engineering, 2nd ed., McGraw-Hill, New York, 1992.
39. O. Siddiqui, M. Mojahedi, S. Erickson, and G. V. Eleftheriades, "Periodically loaded transmission line with effective negative refractive index and negative group velocity," presented at 2003 IEEE International Symposium on Antennas and Propagation: URSI North American Radio Science Meeting, Columbus, OH, USA, 2003.
40. O. F. Siddiqui, M. Mojahedi, and G. V. Eleftheriades, "Periodically loaded transmission line with effective negative refractive index and negative group velocity," IEEE Trans. Antennas Propag., vol. 51, pp. 2619-2625, 2003.
41. O. F. Siddiqui, S. J. Erickson, G. V. Eleftheriades, and M. Mojahedi, "Timedomain measurement of negative group delay in negative-refractive-index transmission-line metamaterials," IEEE Trans. Microwave Theory Tech., vol. 52, pp. 1449-1454, 2004.