Dispersion Analysis of a Negative Group Velocity Medium with MATLAB
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Dispersion Analysis of a Negative Group Velocity Medium with MATLABAbstract
The dispersive behavior of a waveguide loaded with a metamaterial slab is investigated by means of common mathematical tools demonstrating the existence of a superluminal propagation region. More specifically, MATLAB has been used to investigate the influence of the propagating pulse shape on the possibility to achieve a propagation characterized by a negative group delay. Results achieved in this way have also been validated by means of a Finite Difference Time Domain code.
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References
V. G. Veselago, “The electrodynamics of substances
with simultaneously negative values of permittivity
and permeability,” Soviet Physics USPEKI, vol. 10,
no. 4, pp. 509-514, Jan-Feb. 1968.
M. Mojahedi and G. V. Eleftheriades, Negative
Refraction Metamaterials: Fundamental Properties
and Applications, IEEE Press-Wiley Interscience,
John Wiley & Sons Inc., pp. 381-411, 2005.
M. Mojahedi, K. J. Malloy, G. V. Eleftheriades, J.
Woodley, and R. Y. Chiao, “Abnormal wave
propagation in passive media,” IEEE Journ. of
Selected Topics in Quantum Electronics, vol. 9, pp.
, 2003.
J. Woodley and M. Mojahedi, “Negative group
velocity in left-handed materials,” Antennas and
Propagat. Society Symp., vol. 4, pp. 643-646, 2005.
O. F. Siddiqui, M. Mojahedi, and G. V.
Eleftheriades, “Periodically loaded transmission line
MONTI, TARRICONE: DISPERSION ANALYSIS OF A NEGATIVE GROUP VELOCITY MEDIUM
with effective negative refractive index and negative
group velocity,” IEEE Trans. Antenn. Propagat., vol.
AP-51, no. 10, pp. 2619-2625, 2003.
R. Marqués, J. Mariel, F. Mesa, and F. Medina,
“Left-Handed simulation and transmission of EM
waves in subwavelength split-ring resonator-loaded
metallic waveguide,” Physical Review Letters, vol.
, no. 18, 2002.
G. Lubkowski, C. Damm, B. Bandlow, R.
Schuhmann, M. Schüßler, and T. Weiland,
“Waveguide miniaturization using spiral resonator
and dipole arrays,” Proc. of the 36th Europ. Microw.
Conf., pp. 1312-1315, 2006.
G. Monti, L. Tarricone, “Dispersion Engineering
with MATLAB,” Proc. of the 23 th ACES conf.,
March 2007.
A. Taflove, Computational Electrodynamics, The
Finite Difference Time-Domain Method, Artech
House, Norwood, MA, 1995.
L. Brillouin, Wave Propagation and Group Velocity,
Academic, NewYork, 1960.
F. R. Faxvog, C. Y. Chow, T. Bieber, and J. A.
Carruthers, “Measured pulse velocity greater than c
in a neon absorption cell,” Appl. Physics Lett., vol.
, no. 5, 1970.
S. Chu and S. Wong, “Linear pulse propagation in an
absorbing medium,” Phys. Rev. Lett., vol. 48, pp.
–741, 1982.
E. L. Bolda, J. C. Garrison, and R. Y. Chiao,
“Optical pulse propagation at negative group
velocities due to a nearby gain line,”Phys. Review A,
vol. 49, pp. 2938-2947, 1994.
M. D. Crisp, “Concept of group velocity in resonant
pulse propagation,” Physical Review A 4, iss. 5, pp.
– 2108, 1971.
J. B. Pendry, A. J. Holden, D. J. Robbins, and W. J.
Stewart, “Magnetism from conductors, and enhanced
non-linear phenomena,” IEEE Trans. on Microw.
Theory and Techn., vol. 47, no. 11, pp. 2075-2084,
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., v ol. 84, pp. 4184-
, 2000.
J. D. Baena, R. Marqués, and F. Medina, “ Artificial
magnetic metamaterial design by using spiral
resonators,” Phys. Rev. B, vol. 69, pp. 014402, 2004.
J. García-García, F. Martín, J. D. Baena, R. Marqués,
and L. Jelinek, “On the resonances and
polarizabilities of split ring resonators,” Journ. of the
Applied Physics, vol. 98, 033103 (1-9), 2005.
G. Monti, L. Tarricone, “Gaussian pulse expansion
of modulated signals in a double-negative slab,”
IEEE Trans. on Microw. Theory and Techn., vol. 54,
no. 6, pp. 2755-2761, 2006.
Eric L. Bolda, Raymond Y. Chiao, and John C.
Garrison, “Two theorems for the group velocity in
dispersive media,” Phys. Rev. A 48, 3890, 1993.
C. G. B. Garrett and D. E. McCumber, “Propagation
of a gaussian light pulse through an anomalous
dispersion medium,” Phys. Rev. A, vol. 1, p. 305-
, 1970
