Demonstration of negative signal delay with short-duration transient pulse

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-a-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 t 0  = −1.5 ns or 20% of its half-height time-width was measured. This corresponds to a negative group velocity of about v g  =  L / t 0  = −0.13 c ( 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 v g  = −0.12 c ) or 31% of its half-height time-width. Finally, some potential applications based on the NGD function are discussed.

[1]  Fast Light, Slow Light and Optical Precursors: What Does It All Mean? , 2007 .

[2]  W. Robertson,et al.  Sound beyond the speed of light: Measurement of negative group velocity in an acoustic loop filter , 2007 .

[3]  Morgan W. Mitchell,et al.  Superluminality and amplifiers , 1996 .

[4]  L. Brillouin,et al.  Wave Propagation in Periodic Structures , 1946 .

[5]  M. Mojahedi,et al.  Negative group velocity and group delay in left-handed media. , 2004, Physical review. E, Statistical, nonlinear, and soft matter physics.

[6]  Morgan W. Mitchell,et al.  Causality and negative group delays in a simple bandpass amplifier , 1998 .

[7]  B. Ravelo,et al.  Application of negative group delay active circuits to reduce the 50% propagation Delay of RC-line model , 2008, 2008 12th IEEE Workshop on Signal Propagation on Interconnects.

[8]  L. J. Wang,et al.  Transparent anomalous dispersion and superluminal light-pulse propagation at a negative group velocity , 2001 .

[9]  Morgan W. Mitchell,et al.  NEGATIVE GROUP DELAY AND FRONTS IN A CAUSAL SYSTEM : AN EXPERIMENT WITH VERY LOW FREQUENCY BANDPASS AMPLIFIERS , 1997 .

[10]  Joel Mobley,et al.  The time-domain signature of negative acoustic group velocity in microsphere suspensions. , 2007, The Journal of the Acoustical Society of America.

[11]  Arto Hujanen,et al.  ASPECTS ON THE PHASE DELAY AND PHASE VELOCITY IN THE ELECTROMAGNETIC NEAR-FIELD , 2006 .

[12]  Blaise Ravelo,et al.  A New Technique of Interconnect Effects Equalization by Using Negative Group Delay Active Circuits , 2010 .

[13]  B. Ravelo,et al.  Equalization of interconnect propagation delay with negative group delay active circuits , 2007, 2007 IEEE Workshop on Signal Propagation on Interconnects.

[14]  Jeremy Everard,et al.  Broadband negative group delay networks for compensation of microwave oscillators and filters , 2000 .

[15]  A. Sommerfeld,et al.  Über die Fortpflanzung des Lichtes in dispergierenden Medien , 1914 .

[16]  Steven Chu,et al.  Linear Pulse Propagation in an Absorbing Medium , 1982 .

[17]  Blaise Ravelo,et al.  Experimental validation of the RC-interconnect effect equalization with negative group delay active circuit in planar hybrid technology , 2009, 2009 IEEE Workshop on Signal Propagation on Interconnects.

[18]  Blaise Ravelo,et al.  Application of negative group delay active circuits to the design of broadband and constant phase shifters , 2008 .

[19]  Nicholas Chako,et al.  Wave propagation and group velocity , 1960 .

[20]  M. Mojahedi,et al.  Time-domain measurement of negative group delay in negative-refractive-index transmission-line metamaterials , 2004, IEEE Transactions on Microwave Theory and Techniques.

[21]  A. Schuster An Introduction to the Theory of Optics , 2007, Nature.

[22]  Jeremy N. Munday,et al.  Superluminal time advance of a complex audio signal , 2004 .

[23]  Horace Lamb,et al.  On Group - Velocity , 1904 .

[24]  M. Kitano,et al.  Negative group delay and superluminal propagation: an electronic circuit approach , 2003, quant-ph/0302166.

[25]  Jeremy N. Munday,et al.  Observation of negative group delays within a coaxial photonic crystal using an impulse response method , 2007 .

[26]  B. Macke,et al.  Two-pulse interference and superluminality , 2007, physics/0702195.

[27]  Blaise Ravelo,et al.  Negative group delay active topologies respectively dedicated to microwave frequencies and baseband signals , 2008 .

[28]  Daniel Solli,et al.  Superluminal effects and negative group delays in electronics, and their applications. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[29]  George V. Eleftheriades,et al.  Periodically loaded transmission line with effective negative refractive index and negative group velocity , 2003 .

[30]  A. Perennec,et al.  Synthesis of Broadband Negative Group Delay Active Circuits , 2007, 2007 IEEE/MTT-S International Microwave Symposium.

[31]  Blaise Ravelo,et al.  Synthesis of frequency‐independent phase shifters using negative group delay active circuit , 2011 .

[32]  L. J. Wang,et al.  Gain-assisted superluminal light propagation , 2000, Nature.

[33]  Mohamad Sawan,et al.  On Modeling of Parallel Repeater-Insertion Methodologies for SoC Interconnects , 2008, IEEE Transactions on Circuits and Systems I: Regular Papers.

[34]  C. Garrett,et al.  Propagation of a Gaussian Light Pulse through an Anomalous Dispersion Medium , 1970 .

[35]  R. Chiao,et al.  Superluminal (but causal) propagation of wave packets in transparent media with inverted atomic populations. , 1993, Physical review. A, Atomic, molecular, and optical physics.

[36]  A. Sommerfeld,et al.  Lectures on theoretical physics , 1950 .

[37]  B. Segard,et al.  Observation of negative velocity pulse propagation , 1985 .

[38]  G. Eleftheriades,et al.  Transmission line models for negative refractive index media and associated implementations without excess resonators , 2003, IEEE Microwave and Wireless Components Letters.

[39]  M. Kitano,et al.  Demonstration of negative group delays in a simple electronic circuit , 2002 .

[40]  Stepan Lucyszyn,et al.  Negative group delay synthesiser , 1993 .

[41]  Eby G. Friedman,et al.  Repeater design to reduce delay and power in resistive interconnect , 1997, Proceedings of 1997 IEEE International Symposium on Circuits and Systems. Circuits and Systems in the Information Age ISCAS '97.

[42]  B. Ravelo,et al.  Active Microwave Circuit With Negative Group Delay , 2007, IEEE Microwave and Wireless Components Letters.

[43]  Giovanni Campardo,et al.  A Reduced Output Ringing CMOS Buffer , 2007, IEEE Transactions on Circuits and Systems II: Express Briefs.