Abstract
We review recent work on THz frequency combs generated by femtosecond lasers. An overview about the underlying theory and application examples for the analysis of THz signals are given. Using different optoelectronic detection methods, spatially resolved measurements of frequency, phase, and amplitude of GHz and THz emitters are presented. The measurement setup allows for high-precision measurements of the frequency (accuracy of 9 · 10− 14within a 10 s measurement interval), relative amplitude (standard deviation of the mean 0.1 %) and phase (standard deviation of the mean 0.2°). Moreover, the accuracy and invasiveness of different optoelectronic techniques are compared. The large spectral coverage provided by THz frequency combs is demonstrated by simultaneously measuring signals at 16 GHz and 28 THz.
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S. Weyers, V. Gerginov, N. Nemitz, R. Li, K. Gibble, Metrologia 49(1), 82 (2012)
H. Schnatz, B. Lipphardt, J. Helmcke, F. Riehle, G. Zinner, Physical Review Letters 76(1), 18 (1996)
J. Reichert, R. Holzwarth, T. Udem, T.W. Hänsch, Optics Communications 172, 59 (1999)
T. Udem, R. Holzwarth, T.W. Hänsch, Nature 416(6877), 233 (2002)
S.T. Cundiff, J. Ye, Reviews of Modern Physics 75(1), 325 (2003)
S.A. Diddams, JOSA B 27(11) (2010)
H.R. Telle, B. Lipphardt, J. Stenger, Applied Physics B: Lasers and Optics 74(1), 1 (2002)
R. Holzwarth, T. Udem, T.W. Hänsch, J. Knight, W.J. Wadsworth, P.S.J. Russell, Physical Review Letters 85(11), 2264 (2000)
M. Niering, R. Holzwarth, J. Reichert, P. Pokasov, T. Udem, M. Weitz, T.W. Hänsch, P. Lemonde, G. Santarelli, M. Abgrall, P. Laurent, C. Salomon, A. Clairon, Physical Review Letters 84(24), 5496 (2000)
F. Riehle, Physics 5, 126 (2012)
A.A. Madej, P. Dubé, Z. Zhou, J.E. Bernard, M. Gertsvolf, Physical Review Letters 109(20), 203002 (2012)
N. Hinkley, J.A. Sherman, N.B. Phillips, M. Schioppo, N.D. Lemke, K. Beloy, M. Pizzocaro, C.W. Oates, A.D. Ludlow, Science (2013)
A. Amy-Klein, A. Goncharov, C. Daussy, C. Grain, O. Lopez, G. Santarelli, C. Chardonnet, Applied Physics B: Lasers and Optics 78(1), 25 (2004)
M. Tonouchi, Nature Photonics 1(2), 97 (2007)
T. Kleine-Ostmann, T. Nagatsuma, Journal of Infrared, Millimeter, and Terahertz Waves 32(2), 143 (2011)
H.J. Song, T. Nagatsuma, IEEE Transactions on Terahertz Science and Technology 1(1), 256 (2011)
J. Federici, L. Moeller, Journal of Applied Physics 107(11), 111101 (2010)
C. Jastrow, S. Priebe, B. Spitschan, J. Hartmann, M. Jacob, T. Kurner, T. Schrader, T. Kleine-Ostmann, Electronics Letters 46(9), 661 (2010)
D.M. Mittleman, Springer-Verlag, Heidelberg (2003)
B.S. Williams, Nature Photonics 1(9), 517 (2007)
T. Yasui, Y. Kabetani, E. Saneyoshi, S. Yokoyama, T. Araki, Applied Physics Letters 88(24), 241104 (2006)
T. Yasui, R. Nakamura, K. Kawamoto, A. Ihara, Y. Fujimoto, S. Yokoyama, K. Minoshima, T. Nagatsuma, T. Araki, Optics Express 17(19), 17034 (2009)
D.S. Yee, Y. Jang, Y. Kim, D.C. Seo, Optics Letters 35(15), 2532 (2010)
H. Füser, R. Judaschke, M. Bieler, Applied Physics Letters 99, 121111 (2011)
P. Gaal, M.B. Raschke, K. Reimann, M. Woerner, Nature Photonics 1(10), 577 (2007)
L. Werner, H.W. Hubers, P. Meindl, R. Müller, H. Richter, A. Steiger, H.W. Hübers, Metrologia 46(4), S160 (2009)
A. Steiger, B. Gutschwager, M. Kehrt, C. Monte, R. Müller, J. Hollandt, Optics Express 18(21), 21804 (2010)
S. Barbieri, P. Gellie, G. Santarelli, L. Ding, W. Maineult, C. Sirtori, R. Colombelli, H. Beere, D. Ritchie, Nature Photonics 4(9), 636 (2010)
M. Ravaro, C. Manquest, C. Sirtori, S. Barbieri, G. Santarelli, K. Blary, J.F. Lampin, S.P. Khanna, E.H. Linfield, Optics Letters 36(20), 3969 (2011)
L. Consolino, A. Taschin, P. Bartolini, S. Bartalini, P. Cancio, A. Tredicucci, H.E. Beere, D.A. Ritchie, R. Torre, M.S. Vitiello, P. De Natale, Nature Communications 3, 1040 (2012)
H. Füser, M. Bieler, in Proc. SPIE. 8624, Terahertz, RF, Millimeter, and Submillimeter-Wave Technology and Applications VI, ed. by L.P. Sadwick, C.M. O’Sullivan (2013), p. 86240
T. Udem, Die Messung der Frequenz von Licht mit modengekoppelten Lasern, vol. 293 (Max-Planck-Institut für Quantenoptik, Garching, 2004)
D.H. Auston, K.P. Cheung, P.R. Smith, Applied Physics Letters 45(3), 284 (1984)
S. Gupta, J.F. Whitaker, G.A. Mourou, IEEE Transactions on Quantum Electronics 28(10) (1992)
M. Tani, K. Sakai, H. Mimura, Japane Journal of Applied Physics 36, 1175 (1997)
A. Hache, J.E. Sipe, H.M. van Driel, Quantum Electronics, IEEE . . . 34(7), 1144 (1998)
S. Kono, M. Tani, P. Gu, K. Sakai, Applied Physics Letters 77(25), 4104 (2000)
A. Hussain, S.R. Andrews, Applied Physics Letters 88(14), 143514 (2006)
J.A. Valdmanis, G. Mourou, C.W. Gabel, Applied Physics Letters 41(3), 211 (1982)
A. Yariv, Optical Electronics in Modern Communications, 5th edn. (Oxford University Press, New York, 1997)
P.C.M. Planken, H.K. Nienhuys, H.J. Bakker, T. Wenckebach, Journal of the Optical Society of America B 18(3), 313 (2001)
N.C.J. van der Valk, T. Wenckebach, P.C.M. Planken, JOSA B 21(3), 622 (2004)
R.C. Jones, JOSA 31, 488 (1941)
G. Gallot, D. Grischkowsky, Journal of the Optical Society of America B 16(8), 1204 (1999)
R. Paschotta, H.R. Telle, U. Keller, in Solid-State Lasers and Applications, ed. by A. Sennaroglu, Optical Science and Engineering (CRC Press, Boca Raton, 2006), chap. 12, pp. 473–510.
B. Lipphardt, G. Grosche, U. Sterr, C. Tamm, S. Weyers, H. Schnatz, IEEE Transactions on Instrumentation and Measurement 58(4), 1258 (2009)
D.W. Allan, D.D. Davis, IEEE Transactions on Instrumentation and Measurement 34(2), 118 (1985)
C.L. Cheng, F.R. Chang, K.Y. Tu, IEEE Transactions on Instrumentation and Measurement 54(2) 819 (2005)
D. Gabor, Journal of the Institution of Electrical Engineers-Part III: Radio and Communication Engineering 93(26), 429 (1945)
J. Ville, Cables et Transmissions 2A(1), 61 (1958)
B. Boashash, Proceedings of the IEEE 80(4), 520 (1992)
B. Boashash, Proceedings of the IEEE 80(4), 540 (1992)
E.N. Ivanov, S.A. Diddams, L. Hollberg, IEEE Journal of Selected Topics in Quantum Electronics 9(4), 1059 (2003)
L.S. Rothman, I.E. Gordon, A. Barbe, D.C. Benner, P.F. Bernath, M. Birk, V. Boudon, L.R. Brown, A. Campargue, J.P. Champion, K. Chance, L.H. Coudert, V. Dana, V.M. Devi, S. Fally, J.M. Flaud, R.R. Gamache, A. Goldman, D. Jacquemart, I. Kleiner, N. Lacome, W.J. Lafferty, J.Y. Mandin, S. Massie, S.N. Mikhailenko, C.E. Miller, N. Moazzen-Ahmadi, O.V. Naumenko, A.V. Nikitin, J. Orphal, V.I. Perevalov, A. Perrin, A. Predoi-Cross, C. Rinsland, M. Rotger, M. Šimečková, M.A.H. Smith, K. Sung, S.A. Tashkun, J. Tennyson, R.A. Toth, A.C. Vandaele, J. Vander Auwera, Journal of Quantitative Spectroscopy and Radiative Transfer 110(9-10), 533 (2009)
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Füser, H., Bieler, M. Terahertz Frequency Combs. J Infrared Milli Terahz Waves 35, 585–609 (2014). https://doi.org/10.1007/s10762-013-0038-8
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DOI: https://doi.org/10.1007/s10762-013-0038-8