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Terahertz Time-Domain Spectroscopy of Solids: A Review

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Abstract

Recent development of the terahertz time domain spectroscopy (THz-TDS) and its application to solids have been reviewed. This spectroscopy is unique in that the time-domain wave forms are measured at first and the complex optical constants are deduced directly by the Fourier transformation of them without resort to the Kramers-Kronig analysis. Various types of the THz-TDS systems are briefly described. Applications of the THz-TDS to various solids, i.e., semiconductors, superconductors, polymers, photonic crystals, and so on are also presented to demonstrate how widely this spectroscopy is applicable to characterization of solids.

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References

  1. [1] M. C. Nuss and J. Orenstein, Millimeter and Submillimeter Wave Spectroscopy of Solids, edited by G. Grüner (Springer, Berlin, 1998) p. 7.

    Google Scholar 

  2. [2] Sensing with Terahertz Radiation, edited by D. Mittleman (Springer, Berlin, 2003).

    Google Scholar 

  3. [3] B. Feruguson and X.-C. Zhang, Nature Materials 1, 26 (2002).

    Google Scholar 

  4. [4] Terahertz Optoelectronics, edited by K. Sakai (Springer, Berlin, 2005).

    Google Scholar 

  5. [5] M. van Exter and D. Grichkowsky, Phys. Rev. B 41, 12140 (1990).

    ADS  Google Scholar 

  6. [6] M. C. Nuss, K. W. Goossen, J. P. Gordon, P. M. Mankiewich, and M. L. O'Malley, J. Appl. Phys. 70, 2238 (1991).

    Article  ADS  Google Scholar 

  7. [7] G. Arjavalingam, N. Theophilou, Y. Pastol, G. V. Kopcsay, and M. Angelopoulos, J. Chem. Phys. 93, 6 (1990).

    Article  ADS  Google Scholar 

  8. [8] N. Katzenellenbogen and D. Grischkowsky, Appl. Phys. Lett. 61, 840 (1992).

    Article  ADS  Google Scholar 

  9. [9] T.-I. Jeon and D. Grischkowsky, Phys. Rev. Lett. 78, 1106 (1997).

    Article  ADS  Google Scholar 

  10. [10] S. Nashima, O. Morikawa, K. Takata, and M. Hangyo, J. Appl. Phys. 90, 837 (2001).

    Article  ADS  Google Scholar 

  11. [11] S. Kojima, N. Tsumura, M. Wada Takeda, and S. Nishizawa, Phys. Rev. B 67, 035102 (2003).

    Article  ADS  Google Scholar 

  12. [12] M. C. Nuss, K. W. Goossen, J. P. Gordon, P. M. Mankiewich, and M. L. O'Malley, J. Appl. Phys. 70, 2238 (1991).

    Article  ADS  Google Scholar 

  13. [13] M. C. Nuss, P. M. Mankiewich, M. L. O'Malley, E. H. Westerwick, and P. B. Littlewood, Phys. Rev. Lett. 66, 3305 (1991).

    Article  ADS  Google Scholar 

  14. [14] Ch. Ludwig, T. Sekinger, J. Kuhl, H.-U. Hablemeier, M. Tani, K. Sakai, M. Hangyo, S. Miyzawa, and M. Mukaida, Phys. Stat. Sol. (b) 213, 405 (1999).

    Article  Google Scholar 

  15. [15] R. A. Kaindl, M. A. Carnahan, J. Orenstein, D. S. Chemla, H. M. Christen, H.-Y. Zhai, M. Paranthaman, and D. H. Lowndes, Phys. Rev. Lett. 88, 0270O3 (2002).

    Article  Google Scholar 

  16. [16] W. M. Robertson, G. Arjavalingam, R. D. Maede, K. D. Brommer, A. M. Rappe, and J. D. Joannopoulos, Phys. Rev. Lett. 68, 2023 (1992).

    ADS  Google Scholar 

  17. [17] T. Aoki, M. Wada Takeda, J. W. Haus, Z. Yuan, M. Tani, and K. Sakai, Phys. Rev. B 64, 045106 (2001).

    ADS  Google Scholar 

  18. [18] H. Kitahara, N. Tsumura, H. Kondo, M. Wada Takeda, J. W. Haus, Z. Yuan, N. Kawai, K. Sakoda, and K. Inoue, Phys. Rev. B 64, 045202 (2001).

    ADS  Google Scholar 

  19. [19] L. Thrane, R. H. Jacobsen, P. Uhd Jepsen, and R. Keiding, Chem. Phys. Lett. 240, 330 (1995).

    Article  Google Scholar 

  20. [20] D. S. Venables, A. Chiu, and C. A. Schmuttenmaer, J. Chem. Phys. 113, 3243 (2000).

    ADS  Google Scholar 

  21. [21] M. van Exter, Ch. Fattinger, and D. Grischkowsky, Opt. Lett. 14, 1128 (1989).

    ADS  Google Scholar 

  22. [22] H. Harde, S. Keiding, and D. Grischkowsky, Phys. Rev. Lett. 66, 1834 (1991).

    Article  ADS  Google Scholar 

  23. [23] M. Hangyo, T. Nagashima, and S. Nashima, Meas. Sci. Techol. 13, 1727 (2002).

    ADS  Google Scholar 

  24. [24] D. H. Auston, K. P. Cheung and P. R. Smith, Appl. Phys. Lett. 45, 284 (1984).

    Article  ADS  Google Scholar 

  25. [25] N. Sarukura, H. Ohtake, S. Izumida, and Z. Liu, J. Appl. Phys. 84, 654 (1998).

    Article  ADS  Google Scholar 

  26. [26] S. Ono, T. Tsukamoto, M. Sakai, Z. Liu, H. Ohtake, N. Sarukura, S. Nishizawa, A. Nakanishi, and M. Yoshida, Rev. Sci. Instrum. 71, 554 (2000).

    Article  ADS  Google Scholar 

  27. [27] M. Nakajima, K. Uchida, M. Tani, and M. Hangyo, Appl. Phys. Lett. 85, 191 (2O04).

    ADS  Google Scholar 

  28. [28] Q. Wu and X.-C. Zhang, Appl. Phys. Lett. 67, 3523 (1995).

    ADS  Google Scholar 

  29. [29] P. Uhd Jepsen, C. Winnewisser, M. Schall, V. Schyja, S. R. Keiding, and H. Helm, Phys. Rev. B 53, R3502 (1996).

    Google Scholar 

  30. [30] C. Kübler, R. Huber, S. Tübel, and A. Leitesntorfer, Appl. Phys. Lett. 85, 3360 (2004).

    ADS  Google Scholar 

  31. [31] S. Kono, M. Tani, and K. Sakai, Appl. Phys. Lett. 79, 898 (2001).

    Article  ADS  Google Scholar 

  32. [32] B. I. Greene, J. F. Federici, D. R. Dykaar, R. R. Jones, and P. H. Bucksbaum, Appl. Phys. Lett. 59, 893 (1991).

    ADS  Google Scholar 

  33. [33] S. E. Ralph and D. Grischkowsky, Appl. Phys. Lett. 60, 1070 (1992).

    Article  ADS  Google Scholar 

  34. [34] M. Joffre, A. Bonvalet, A. Migus, and J.-L. Martin, Opt. Lett. 21, 964 (1996).

    ADS  Google Scholar 

  35. [35] T.-I. Jeon and D. Grischkowsky, Appl. Phys. Lett. 72, 3032 (1998).

    ADS  Google Scholar 

  36. [36] S. Nashima, O. Morikawa, K. Takata, and M. Hangyo, Appl. Phys. Lett. 79, 3923 (2001).

    Article  ADS  Google Scholar 

  37. [37] T. Nagashima and M. Hangyo, Appl. Phys. Lett. 79, 3917 (2001).

    Article  ADS  Google Scholar 

  38. [38] H. Hirori, K. Yamashita, M. Nagai, and K. Tanaka, Jpn. J. Appl. Phys. 43, L1287 (2004).

    Article  Google Scholar 

  39. [39] A. Pashkin, M. Kempa, H. Němec, F. Kadlec, and P. Kužel, Rev. Sci. Instr. 74, 4711 (2003).

    Article  ADS  Google Scholar 

  40. [40] M. Schall and P. Uhd Jepsen, Opt. Lett. 25, 13 (2000).

    ADS  Google Scholar 

  41. [41] M. C. Beard, G. M. Turner, and C. A. Schmuttenmaer, Phys. Rev. B 62, 15764 (2000).

    Article  ADS  Google Scholar 

  42. [42] R. Huber, F. Tauser, A. Brodschelm, M. Bichler, G. Abstreiter, and A. Leitenstorfer, Nature 414, 286 (2001).

    Article  ADS  Google Scholar 

  43. [43] R. Huber, C. Kübler, S. Tübel, A. Leitenstorfer, Q. T. Vu, H. Haug, F. Köhler, and M.-C. Amann, Phys. Rev. Lett. 94, 027401 (2005).

    ADS  Google Scholar 

  44. [44] O. Morikawa, M. Tonouchi, and M. Hangyo, Appl. Phys. Lett. 76, 1519 (2O00).

    Article  ADS  Google Scholar 

  45. [45] M. Tani, S. Matsuura, K. Sakai, and M. Hangyo, IEEE Microwave Guid. Wave Lett. 7, 282 (1997).

    Google Scholar 

  46. [46] O. Morikawa, M. Tonouchi, and M. Hangyo, Appl. Phys. Lett. 75, 3772 (1999).

    Google Scholar 

  47. [47] O. Morikawa, M. Fujita, and M. Hangyo, Appl. Phys. Lett. 85, 881 (2004).

    Article  ADS  Google Scholar 

  48. [48] F. Miyamaru, T. Kondo, T. Nagashima, and M. Hangyo, Appl. Phys. Lett. 82, 2568 (2003).

    Article  ADS  Google Scholar 

  49. [49] R. Shimano, Y. Ino, Yu. P. Svirko, and M. Kuwata-Gonokami, Appl. Phys. Lett. 81, 199 (2002).

    Article  ADS  Google Scholar 

  50. [50] Y. Ino, R. Shimano, Y. Svirko, and M. Kuwata-Gonokami, Phys. Rev. B 70, 155101 (2004).

    Article  ADS  Google Scholar 

  51. [51] D. M. Mittleman, J. Cunningham, M. C. Nuss, and M. Geva, Appl. Phys. Lett. 71, 16 (1997).

    Article  ADS  Google Scholar 

  52. [52] T. Nagashima, M. Hangyo, and H. Roskos, Conf. Digest of the 2004 Joint 29th Int. Conf. on Infrared and Millimeter Waves and 12th Int. Conf. on Terahertz Electronics, Karlsruhe, 2004, p. 471.

    Google Scholar 

  53. [53] M. Tanaka, T. Nagashima, and M. Hangyo, Conf. Digest of 28th Int. Conf. on Infrared and Millimeter Waves, Ohtsu, 2003, p. 487.

    Google Scholar 

  54. [54] T.-I. Jeon, D. Grischkowsky, A. K. Mukherjee, and R. Menon, Appl. Phys. Lett. 77, 2452 (2000).

    Article  ADS  Google Scholar 

  55. [55] K. Yamamoto, M. Yamaguchi, M. Tani, M. Hangyo, S. Teramura, T. Isu, and N. Tomita, Appl. Phys. Lett. 85, 5194 (2004).

    Article  ADS  Google Scholar 

  56. [56] T. Kondo, M. Hangyo, S. Yamaguchi, S. Yano, Y. Segawa, and K. Ohtaka, Phys. Rev. B 66, 033111 (2002).

    Article  ADS  Google Scholar 

  57. [57] T. Kondo, S. Yamaguchi, M. Hangyo, K. Yamamoto, Y. Segawa, and K. Ohtaka, Phys. Rev. B 70, 235113 (2004).

    ADS  Google Scholar 

  58. [58] K. Ohtaka, Y. Suda, S. Nagano, T. Ueta, A. Imada, T. Koda, J. S. Bae, K. Mizuno, S. Yano, and Y. Segawa, Phys. Rev. B 61, 5267 (2000).

    Article  ADS  Google Scholar 

  59. [59] T. W. Ebbesen, H. J. Lezec, H. F. Gaemi, T. Thio, and P. A. Wolf, Nature 391, 667 (1998).

    Article  Google Scholar 

  60. [60] J. Gómez Rivas, C. Schotsch, P. Haring Bolivar, and H. Kurz, Phys. Rev. B 68, 201306 (2OO3).

    ADS  Google Scholar 

  61. [61] H. Cao and A. Nahata, Opt. Express 12, 1004 (2004).

    ADS  Google Scholar 

  62. [62] D. Qu, D. Grischkowsky, and W. Zhang, Opt. Lett. 29, 896 (2004).

    ADS  Google Scholar 

  63. [63] K. Sakai and L. Genzel, Reviews of Infrared and Millimeter Waves 1, edited by K. J. Button, (Plenum, New York, 1983) p. 155.

    Google Scholar 

  64. [64] C. Winnewisser, F. Lewen, and H. Helm, Appl. Phys. A66, 593 (1998).

    ADS  Google Scholar 

  65. [65] F. Miyamaru and M. Hangyo, Nanophotonics, edited by H. Masuhara and S. Kawata (Elsevier, Amsterdam, 2004) p. 313.

    Google Scholar 

  66. [66] F. Miyamaru and M. Hangyo, Appl. Phys. Lett. 84, 2742 (2004).

    Article  Google Scholar 

  67. [67] M. Tanaka, F. Miyamaru, M. Hangyo, T. Tanaka, M. Akazawa, and E. Sano, Opt. Lett. 30, 1210 (2OO5).

    Article  Google Scholar 

  68. [68] F. Miyamaru, M. Tanaka, and M. Hangyo, submitted to Phys. Rev. Lett.

  69. [69] F. Miyamaru, and M. Hangyo, Appl. Opt. 43, 1412 (2004).

    Article  ADS  Google Scholar 

  70. [70] F. Miyamaru, and M. Hangyo, Phys. Rev. B 71, 165408 (2005).

    Article  ADS  Google Scholar 

  71. [71] F. Miyamaru and M. Hangyo, Phys. Rev. B 72, 035429 (2005).

    Article  ADS  Google Scholar 

  72. [72] J. Bandekar, L. Genzel, F. Kremer, and L. Santo, Spectrochim. Acta 39A, 357 (1983).

    Google Scholar 

  73. [73] W. J. Shotts and A. J. Sievers, Biopolymers 13, 2593 (1974).

    Article  Google Scholar 

  74. [74] C. P. Beetz, Jr. and G. Ascarelli, Spectrochim. Acta 36A, 299 (1980).

    Google Scholar 

  75. [75] M. Hineno and H. Yoshinaga, Spectrochim. Acta 28A, 2263 (1972).

    Google Scholar 

  76. [76] M. Walther, B. Fischer, M. Schall, H. Helm, and P. Uhd Jepsen, Chem. Phys. Lett. 332, 389 (2000).

    Article  Google Scholar 

  77. [77] B. M. Fischer, M. Walther, and P. Uhd Jepsen, Phys. Med. Biol. 47, 3807 (2002).

    Article  Google Scholar 

  78. [78] Y. C. Shen, P. C. Upadhya, E. H. Linfield, and A. G. Davies, Appl. Phys. Lett. 82, 2350 (2003).

    ADS  Google Scholar 

  79. [79] J. Nishizawa, T. Sasaki, K. Suto, T. Tanabe, K. Saito, T. Yamada, and T. Kimura, Opt. Commun. 246, 229 (2005).

    Article  ADS  Google Scholar 

  80. [80] A. G. Markelz, A. Roitberg, and E. J. Heilweil, Chem. Phys. Lett. 320, 42 (2000).

    Article  Google Scholar 

  81. [81] M. Yamaguchi, F. Miyamaru, K. Yamamoto, M. Tani, and M. Hangyo, Appl. Phys. Lett. 86, 053903 (2005).

    Google Scholar 

  82. [82] M. Yamaguchi, K. Yamamoto, M. Tani, and M. Hangyo, Conf. Digest of the 2004 Joint 29th Int. Conf. on Infrared and Millimeter Waves and 12th Int. Conf. on Terahertz Electronics, Karlsruhe, 2004, p. 779.

    Google Scholar 

  83. [83] K. Yamamoto, K. Tominaga, H. Sasakawa, A. Tamura, H. Murakami, H. Ohtake, and N. Sarukura, Bull. Chem. Soc. Jpn. 75, 1083 (2002).

    Google Scholar 

  84. [84] A. Markelz, S. Whitmire, J. Hillebrecht, and R. Birge, Phys. Med. And Biol. 47, 3797 (2002).

    ADS  Google Scholar 

  85. [85] S. E. Whitmire, D. Wolpert, A. G. Markelz, J. R. Hillebrecht, J. Galan, and R. R. Birge, Biophys J. 85, 1269 (2003).

    Google Scholar 

  86. [86] K. Kataoka, H. Kamikubo, J. Yunoki, F. Tokunaga, T. Kanaya, Y. Izumi, and K. Shibata, J. Phys. Chem. Solids 60, 1285 (1999).

    ADS  Google Scholar 

  87. [87] G. Zaccai, Science 288, 1604 (2000).

    Article  ADS  Google Scholar 

  88. [88] M. Brucherseifer, M. Nagel, P. H. Bolivar, H. Kurz, A. Bosserhoff, and R. Bütner, Appl. Phys. Lett. 77, 4049 (2000).

    Article  ADS  Google Scholar 

  89. [89] M. Nagal, P. H. Bolivar, M. Bruchenseifer, H. Kurz, A. Bosserhoff, and R. Bütner, Appl. Phys. Lett. 80, 154 (2002).

    ADS  Google Scholar 

  90. [90] K. Kawase, Y. Ogawa, Y. Watanabe, and H. Inoue, Opt. Express 11, 2549 (2003).

    ADS  Google Scholar 

  91. [91] K. Yamamoto, M. Yamaguchi, F. Miyamaru, M. Tani, M. Hangyo, T. Ikeda, A. Matsushita, K. Koide, M. Tatsuno, and Y. Minami, Jpn. J. Appl. Phys. 43, L414 (2O04).

    Google Scholar 

  92. [92] F. Huang, B. Schulki, H. Altan, J. Federici, D. Gary, R. Barat, D. Zimdars, M. Chen, and D. B. Tanner, Appl. Phys. Lett. 85, 5535 (2004).

    ADS  Google Scholar 

  93. [93] T. Ikeda, A. Matsushita, M. Tatsuno, Y. Minami, M. Yamaguchi, K. Yamamoto, M. Tani, and M. Hangyo, Appl. Phys. Lett. 87, 034105 (2005).

    Article  Google Scholar 

  94. [94] Y. Ichikawa, M. Nagai, and K. Tanaka, Phys. Rev. B 71, 092106 (2005).

    Article  ADS  Google Scholar 

  95. [95] N. Kida, M. Hangyo, and M. Tonouchi, Phys. Rev. B 62, R11965 (2000).

    Article  ADS  Google Scholar 

  96. [96] N. Kida and M. Tonouchi, Phys. Rev. B 66, 024401 (2002).

    Article  ADS  Google Scholar 

  97. [97] H. Harimochi, J. Kitagawa, M. Ishizaka, Y. Kadoya, M. Yamanishi, S. Matsuishi, and H. Hosono, Phys. Rev. B 70, 193104 (2004).

    Article  ADS  Google Scholar 

  98. [98] A. Leitenstorfer, S. Hunsche, J. Shah, M. C. Nuss, and W. H. Knox, Phys. Rev. Lett. 82, 5140 (1999).

    Article  ADS  Google Scholar 

  99. [99] T. Hattori, S. Arai, and K. Tsukamoto, Jpn. J. Appl. Phys. 43, 7546 (2004).

    Google Scholar 

  100. [100] M. Tonouchi, M. Tani, Z. Wang, K. Sakai, N. Wada, and M. Hangyo, Jpn. J. Appl. Phys. 35, L1578 (1996).

    Article  Google Scholar 

  101. [101] N. Sekine and K. Hirakawa, Phys. Rev. Lett. 94, 057408 (2005).

    Article  ADS  Google Scholar 

  102. [102] C.J. Strachan, T. Pades, D. A. Newnham, K. C. Gordon, M. Pepper, and P. F. Taday, Chem. Phys. Lett. 390, 20 (2004).

    Article  Google Scholar 

  103. [103] K. Kawase, M. Sato, T. Taniuchi, and H. Ito, Appl. Phys. Lett. 68, 2483 (1996).

    Article  ADS  Google Scholar 

  104. [104] K. Imai, K. Kawase, J. Shikata, H. Minamide and H. Ito, Appl. Phys. Lett. 78, 1026 (2001).

    Article  ADS  Google Scholar 

  105. [105] T. Tanabe, K. Suto, J. Nishizawa, K. Saito, and T. Kimura, Appl. Phys. Lett. 83, 237 (2003).

    Article  ADS  Google Scholar 

  106. [106] T. Taniuchi, S. Okada, and H. Nakanishi, J. Appl. Phys. 95, 5984 (2004).

    ADS  Google Scholar 

  107. [107] J. Nishizawa, T. Sasaki, K. Suto, T. Yamada, T. Tanabe, T. Tanno, T. Sawai, and Y. Miura, Opt. Commun. 244, 469 (2005).

    Article  ADS  Google Scholar 

  108. [108] M. Tani, O. Morikawa, S. Matsuura, and M. Hangyo, Semicond. Sci. Technol. 20, S151 (2005).

    Article  ADS  Google Scholar 

  109. [109] R. Köhler, A. Tredicucci, F. Beltram, H. E. Beere, E. H. Linfield, A. G. Davies, D. A. Ritchie, R. C. Iotti, and F. Rossi, Nature 417, 156 (2002).

    Article  ADS  Google Scholar 

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Hangyo, M., Tani, M. & Nagashima, T. Terahertz Time-Domain Spectroscopy of Solids: A Review. Int J Infrared Milli Waves 26, 1661–1690 (2005). https://doi.org/10.1007/s10762-005-0288-1

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