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Demonstration of negative signal delay with short-duration transient pulse

Published online by Cambridge University Press:  21 July 2011

B. Ravelo*
Affiliation:
IRSEEM, EA 4353, Graduate School of Engineering ESIGELEC, Av. Galilée, BP 10024, 76801 Saint-Étienne-du-Rouvray Cedex, France
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Abstract

This paper introduces theoretic and experimental analyses of short-duration pulse propagation through a negative group delay (NGD) circuit. The basic analysis method of this electronic circuit operating in baseband and microwave frequencies is investigated. Then, its electrical fundamental characteristics vis-à-vis transient signals are developed. To validate the theoretic concept, planar hybrid devices with one- and two-stage NGD cells were designed, simulated, fabricated and tested. Transient analyses with ultra-wide band (UWB) pulse signals with different widths are realized. Then, experimental results in good agreement with the theoretical predictions were observed. Consequently, group delay going down under −2.5 ns is evidenced in baseband frequency up to 63 MHz with one-stage NGD cell. In time-domain, a Gaussian pulse in advance of about t0 = −1.5 ns or 20% of its half-height time-width was measured. This corresponds to a negative group velocity of about vg = L/t0 = −0.13c (L is the physical length of the tested device and c is light speed in the vacuum). More significant NGD value over 100-MHz bandwidth is stated with two-stage NGD cells. This results in a Gaussian pulse peak advance of about −5 ns (raising a group velocity of about vg = −0.12c) or 31% of its half-height time-width. Finally, some potential applications based on the NGD function are discussed.

Type
Research Article
Copyright
© EDP Sciences, 2011

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References

Lamb, H., Proc. London Math. Soc. 1, 473 (1904)CrossRef
Schuster, A., An Introduction to the Theory of Optics, (Edward Arnold, London, 1904), p. 313 Google Scholar
Sommerfeld, A., Physik Z. 8, 841 (1907)
Sommerfeld, A., Ann. Physik 44, 177 (1914) [in German]CrossRef
Brillouin, L., Ann. Physik 44, 203 (1914) [in German]CrossRef
Brillouin, L., Wave Propagation in Periodic Structures (McGraw-Hill, New York, 1946)Google Scholar
Sommerfeld, A., Optics (Academic Press Inc., US, 1954)Google Scholar
Brillouin, L., Wave Propagation and Group Velocity (Academic Press, New York, 1960) pp. 1, 113Google Scholar
Chiao, R.Y., Phys. Rev. A 48, R34 (1993)CrossRef
Wang, L.J., Kuzmich, A., Dogariu, A., Nature 406, 277 (2000)CrossRef
Siddiqui, O.F., Mojahedi, M., Eleftheriades, G.V., IEEE Trans. Antennas Propag. 51, 2619 (2003)CrossRef
Woodley, J.F., Mojahedi, M., Phys. Rev. E 70, 046603.1 (2004)CrossRef
Sten, J.C.-E., Hujanen, A., Prog. Electromagn. Res. 56, 67 (2006)CrossRef
Mobley, J., J. Acoust. Soc. Am. 122, EL8 (2007)CrossRef
Robertson, W.M., Pappafotis, J., Flannigan, P., Cathey, J., Cathey, B., Klaus, C., Appl. Phys. Lett. 90, 014102.1 (2007)CrossRef
Macke, B., Segard, B., Opt. Commun. 281, 12 (2008)CrossRef
Dogariu, A., Kuzmich, A., Wang, L.J., Phys. Rev. A 63 053806.1 (2001)CrossRef
Gauthier, D.J., Boyd, R.W., Photon. Spectra 1, 82 (2007)
Garrett, C.G.B., McGumber, D.E., Phys. Rev. A 1, 305 (1970)CrossRef
Chu, S., Wong, S., Phys. Rev. Lett. 48, 738 (1982)CrossRef
Ségard, B., Macke, B., Phys. Lett. 109, 213 (1985)CrossRef
Munday, J.N., Robertson, W.M., Opt. Commun. 273, 32 (2007)CrossRef
Chiao, R.Y., Bolda, E.L., Bowie, J., Boyce, J., Mitchell, M.W., Prog. Cryst. Growth Charact. Mat. 33, 319 (1996)CrossRef
Mitchell, M.W., Chiao, R.Y., Am. J. Phys. 66, 14 (1998)CrossRef
Mitchell, M.W., Chiao, R.Y., Phys. Lett. A 230, 133 (1997)CrossRef
Kitano, M., Nakanishi, T., Sugiyama, K., IEEE J. Sel. Top. Quantum Electron. 9, 43 (2003)CrossRef
Nakanishi, T., Sugiyama, K., Kitano, M., Am. J. Phys. 70, 1117 (2002)CrossRef
Munday, J.N., Henderson, R.H., Appl. Phys. Lett. 85, 503 (2004)CrossRef
Solli, D., Chiao, R.Y., Hickmannn, J.M., Phys. Rev. E 66, 056601.1 (2002)CrossRef
Lucyszyn, S., Robertson, I.D., Aghvami, A.H., Electron. Lett. 29, 798 (1993)CrossRef
Broomfield, C.D., Everard, J.K.A., Electron. Lett. 23, 1931 (2000)CrossRef
Eleftheriades, G.V., Siddiqui, O., Iyer, A.K., IEEE Microw. Wirel. Comp. Lett. 13, 51 (2003)CrossRef
Siddiqui, O.F., Erickson, S.J., Eleftheriades, G.V., Mojahedi, M., IEEE Trans. Microwave Theor. Tech. 52, 1449 (2004)CrossRef
Ravelo, B., Perennec, A., Le Roy, M., Boucher, Y., IEEE Microw. Wireless Comp. Lett. 17, 861 (2007)CrossRef
Ravelo, B., Perennec, A., Le Roy, M., Synthesis of broadband negative group delay active circuits, in IEEE MTT-S Int. Symp. Dig., 2007, Honolulu, Hawaii, USA, pp. 21772180
Ravelo, B., Perennec, A., Le Roy, M., J. EuMA 4, 124 (2008)
Ravelo, B., Perennec, A., Le Roy, M., Equalization of Interconnect Propagation Delay with Negative Group Delay Active Circuits, in Proc. of 11th IEEE Workshop SPI, Genova, Italy, 2007, pp. 1518
Ravelo, B., Perennec, A., Le Roy, M., Application of Negative Group Delay Active Circuits to Reduce the 50% Propagation Delay of RC-Line Model, in Proc. of 12th IEEE Workshop SPI, Avignon, France, 2008, pp. 14
Ravelo, B., Perennec, A., Le Roy, M., Experimental Validation of the RC-Interconnect Effect Equalization with Negative Group Delay Active Circuit in Planar Hybrid Technology, in Proc. of 13th IEEE Workshop SPI, Strasbourg, France, 2009, pp. 14
Ravelo, B., Perennec, A., Le Roy, M. in VLSI, edited by Wang, Z. (INTECH Book, 2010), pp. 409434, Chap. 20.Google Scholar
Adler, V., Friedman, E.G., IEEE Trans Circ. Syst. II Analog Digit. Signal Process. 54, 607 (1998)CrossRef
Bartolini, M., Pulici, P., Stoppino, P.P., Campardo, G., IEEE Trans Circ. Syst. II Exp. Briefs 54, 102 (2007)CrossRef
Awwad, F.R., Nekili, M., Ramachandran, V., Sawan, M., IEEE Trans. Circ. Syst. I 55, 322 (2008)CrossRef
Ravelo, B., Le Roy, M., Perennec, A., Microwave Opt. Technol. Lett. 50, 3078 (2008)CrossRef
Ravelo, B., Perennec, A., Le Roy, M., Int. J. RF Microwave Computer-Aided Eng. (RFMiCAE) 21, 17 (2011)CrossRef