摘要We investigate the propagation of electric signal along a spatially periodic impedance mismatched transmission line group. Anomalous dispersion is caused by the periodically mismatched impedance structure and a forbidden band appears near 8MHz in transmission. The group velocity of the amplitude-modulated signal is augmented up to infinity, even -3.89c (c the speed of light in vacuum) in the forbidden region with the amplitude of the modulated signal increasing. When the carrier sinusoid signal is modulated in amplitude by the modulating sinusoid signal, of which the peak is superimposed with a narrow pulse at fivefold frequency, the superluminal group velocity also occurs. The experiment failed to show whether the propagation velocity of narrow pulse exceeds c or not.
Abstract:We investigate the propagation of electric signal along a spatially periodic impedance mismatched transmission line group. Anomalous dispersion is caused by the periodically mismatched impedance structure and a forbidden band appears near 8MHz in transmission. The group velocity of the amplitude-modulated signal is augmented up to infinity, even -3.89c (c the speed of light in vacuum) in the forbidden region with the amplitude of the modulated signal increasing. When the carrier sinusoid signal is modulated in amplitude by the modulating sinusoid signal, of which the peak is superimposed with a narrow pulse at fivefold frequency, the superluminal group velocity also occurs. The experiment failed to show whether the propagation velocity of narrow pulse exceeds c or not.
OU Xiao-Juan;ZHOU Wei;LI Lin;TENG Li-Hu;FENG Bao-Ying;ZHENG Sheng-Feng;WANG Feng-Wei. Negative and Superluminal Group Velocity Propagation with Narrow Pulse in a Coaxial Photonic Crystal[J]. 中国物理快报, 2007, 24(3): 624-627.
OU Xiao-Juan, ZHOU Wei, LI Lin, TENG Li-Hu, FENG Bao-Ying, ZHENG Sheng-Feng, WANG Feng-Wei. Negative and Superluminal Group Velocity Propagation with Narrow Pulse in a Coaxial Photonic Crystal. Chin. Phys. Lett., 2007, 24(3): 624-627.
[1] Steinberg A M, Kwiat P G and Chiao R Y 1993 Phys. Rev.Lett. 71 708 [2] Endera A and Nimtz G 1993 Phys. Rev. B 47 9605 [3] Wang L J, Kuzzmich A and Dogariu A 2000 Nature 406 277 [4] Steinberg A M and Chiao R Y 1994 Phys. Rev. A 49 2071 [5] Chu S and Wong S 1982 Phys. Rev. Lett. 48 738 [6] Hach\'e A and Poirier L 2002 Appl. Phys. Lett. 80 518 [7] Munday J N and Robert W M 2002 Appl. Phys. Lett. 81 2127 [8] Wang L J 2002 J. Beijing Institute of Petro-ChemicalTechnology 10 6 (in Chinese)