Abstract

We present transmission and phase measurements on a birefringent YAlO3 crystal that is illuminated with linearly polarized terahertz radiation in a broad frequency range (10cm1  to  16cm1). The spectra exhibit pronounced and complex Fabry–Perot resonances that depend on the polarization orientation of the incoming light. We present a theoretical description to analyze these data and to obtain the optical constants of the crystal in the terahertz range.

© 2009 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. M. Okada, S. Shimizu, and S. Ieiri, Appl. Opt. 14, 917 (1975).
    [CrossRef] [PubMed]
  2. M. Okada and I. Shogo, Opt. Commun. 14, 4 (1975).
    [CrossRef]
  3. D. Fröhlich and H. Welling, Appl. Phys. 9, 205 (1976).
    [CrossRef]
  4. S.-M. Tseng and C.-L. Chen, J. Lightwave Technol. 7, 1956 (1989).
    [CrossRef]
  5. T. von Lerber and M. W. Sigrist, Appl. Opt. 41, 3567 (2002).
    [CrossRef] [PubMed]
  6. T. von Lerber, H. Ludvigsen, and A. Romann, Opt. Express 12, 1363 (2004).
    [CrossRef] [PubMed]
  7. H. Chen, Microwave Opt. Technol. Lett. 50, 101 (2008).
    [CrossRef]
  8. H. J. Choi, H. H. Lim, B. J. Kim, and M. Cha, J. Korean Phys. Soc. 53, 3197 (2008).
    [CrossRef]
  9. B. P. Gorshunov, A. Volkov, I. E. Spektor, A. S. Prokhorov, A. A. Mukhin, M. Dressel, S. Uchida, and A. Loidl, Int. J. Infrared Millim. Waves 26, 1217 (2005).
    [CrossRef]
  10. M. Dressel, N. Kasper, K. Petukhov, D. N. Peligrad, B. Gorshunov, M. Jourdan, M. Huth, and H. Adrian, Phys. Rev. B 66, 035110 (2002).
    [CrossRef]
  11. M. Jourdan, A. Zakharov, M. Foerster, and H. Adrian, Phys. Rev. Lett. 93, 097001 (2004).
    [CrossRef] [PubMed]
  12. A. Zakharov, M. Jourdan, M. Foerster, and H. Adrian, Physica B 359-361, 1108 (2005).
    [CrossRef]
  13. N. Cao, J. D. Garrett, T. Timusk, H. L. Liu, and D. B. Tanner, Phys. Rev. B 53, 2601 (1996).
    [CrossRef]
  14. M. Scheffler, M. Dressel, M. Jourdan, and H. Adrian, Physica B 378-380, 993 (2006).
    [CrossRef]
  15. G. Kozlov and A. Volkov, in Millimeter and Submillimeter Wave Spectroscopy of Solids, G.Grüner, ed. (Springer, 1998), pp. 51-109.
    [CrossRef]
  16. J. P. Ostertag, M. Scheffler, M. Dressel, and M. Jourdan, http://www.ArXiv.org/abs/cond-mat/0910.5345.
  17. M. Dressel and G. Grüner, Electrodynamics of Solids (Cambridge U. Press, 2002).
    [CrossRef]
  18. T. Konaka, M. Sato, H. Asano, and S. Kubo, J. Supercond. 4, 283 (1991).
    [CrossRef]

2008 (2)

H. Chen, Microwave Opt. Technol. Lett. 50, 101 (2008).
[CrossRef]

H. J. Choi, H. H. Lim, B. J. Kim, and M. Cha, J. Korean Phys. Soc. 53, 3197 (2008).
[CrossRef]

2006 (1)

M. Scheffler, M. Dressel, M. Jourdan, and H. Adrian, Physica B 378-380, 993 (2006).
[CrossRef]

2005 (2)

A. Zakharov, M. Jourdan, M. Foerster, and H. Adrian, Physica B 359-361, 1108 (2005).
[CrossRef]

B. P. Gorshunov, A. Volkov, I. E. Spektor, A. S. Prokhorov, A. A. Mukhin, M. Dressel, S. Uchida, and A. Loidl, Int. J. Infrared Millim. Waves 26, 1217 (2005).
[CrossRef]

2004 (2)

T. von Lerber, H. Ludvigsen, and A. Romann, Opt. Express 12, 1363 (2004).
[CrossRef] [PubMed]

M. Jourdan, A. Zakharov, M. Foerster, and H. Adrian, Phys. Rev. Lett. 93, 097001 (2004).
[CrossRef] [PubMed]

2002 (2)

T. von Lerber and M. W. Sigrist, Appl. Opt. 41, 3567 (2002).
[CrossRef] [PubMed]

M. Dressel, N. Kasper, K. Petukhov, D. N. Peligrad, B. Gorshunov, M. Jourdan, M. Huth, and H. Adrian, Phys. Rev. B 66, 035110 (2002).
[CrossRef]

1996 (1)

N. Cao, J. D. Garrett, T. Timusk, H. L. Liu, and D. B. Tanner, Phys. Rev. B 53, 2601 (1996).
[CrossRef]

1991 (1)

T. Konaka, M. Sato, H. Asano, and S. Kubo, J. Supercond. 4, 283 (1991).
[CrossRef]

1989 (1)

S.-M. Tseng and C.-L. Chen, J. Lightwave Technol. 7, 1956 (1989).
[CrossRef]

1976 (1)

D. Fröhlich and H. Welling, Appl. Phys. 9, 205 (1976).
[CrossRef]

1975 (2)

Adrian, H.

M. Scheffler, M. Dressel, M. Jourdan, and H. Adrian, Physica B 378-380, 993 (2006).
[CrossRef]

A. Zakharov, M. Jourdan, M. Foerster, and H. Adrian, Physica B 359-361, 1108 (2005).
[CrossRef]

M. Jourdan, A. Zakharov, M. Foerster, and H. Adrian, Phys. Rev. Lett. 93, 097001 (2004).
[CrossRef] [PubMed]

M. Dressel, N. Kasper, K. Petukhov, D. N. Peligrad, B. Gorshunov, M. Jourdan, M. Huth, and H. Adrian, Phys. Rev. B 66, 035110 (2002).
[CrossRef]

Asano, H.

T. Konaka, M. Sato, H. Asano, and S. Kubo, J. Supercond. 4, 283 (1991).
[CrossRef]

Cao, N.

N. Cao, J. D. Garrett, T. Timusk, H. L. Liu, and D. B. Tanner, Phys. Rev. B 53, 2601 (1996).
[CrossRef]

Cha, M.

H. J. Choi, H. H. Lim, B. J. Kim, and M. Cha, J. Korean Phys. Soc. 53, 3197 (2008).
[CrossRef]

Chen, C.-L.

S.-M. Tseng and C.-L. Chen, J. Lightwave Technol. 7, 1956 (1989).
[CrossRef]

Chen, H.

H. Chen, Microwave Opt. Technol. Lett. 50, 101 (2008).
[CrossRef]

Choi, H. J.

H. J. Choi, H. H. Lim, B. J. Kim, and M. Cha, J. Korean Phys. Soc. 53, 3197 (2008).
[CrossRef]

Dressel, M.

M. Scheffler, M. Dressel, M. Jourdan, and H. Adrian, Physica B 378-380, 993 (2006).
[CrossRef]

B. P. Gorshunov, A. Volkov, I. E. Spektor, A. S. Prokhorov, A. A. Mukhin, M. Dressel, S. Uchida, and A. Loidl, Int. J. Infrared Millim. Waves 26, 1217 (2005).
[CrossRef]

M. Dressel, N. Kasper, K. Petukhov, D. N. Peligrad, B. Gorshunov, M. Jourdan, M. Huth, and H. Adrian, Phys. Rev. B 66, 035110 (2002).
[CrossRef]

J. P. Ostertag, M. Scheffler, M. Dressel, and M. Jourdan, http://www.ArXiv.org/abs/cond-mat/0910.5345.

M. Dressel and G. Grüner, Electrodynamics of Solids (Cambridge U. Press, 2002).
[CrossRef]

Foerster, M.

A. Zakharov, M. Jourdan, M. Foerster, and H. Adrian, Physica B 359-361, 1108 (2005).
[CrossRef]

M. Jourdan, A. Zakharov, M. Foerster, and H. Adrian, Phys. Rev. Lett. 93, 097001 (2004).
[CrossRef] [PubMed]

Fröhlich, D.

D. Fröhlich and H. Welling, Appl. Phys. 9, 205 (1976).
[CrossRef]

Garrett, J. D.

N. Cao, J. D. Garrett, T. Timusk, H. L. Liu, and D. B. Tanner, Phys. Rev. B 53, 2601 (1996).
[CrossRef]

Gorshunov, B.

M. Dressel, N. Kasper, K. Petukhov, D. N. Peligrad, B. Gorshunov, M. Jourdan, M. Huth, and H. Adrian, Phys. Rev. B 66, 035110 (2002).
[CrossRef]

Gorshunov, B. P.

B. P. Gorshunov, A. Volkov, I. E. Spektor, A. S. Prokhorov, A. A. Mukhin, M. Dressel, S. Uchida, and A. Loidl, Int. J. Infrared Millim. Waves 26, 1217 (2005).
[CrossRef]

Grüner, G.

M. Dressel and G. Grüner, Electrodynamics of Solids (Cambridge U. Press, 2002).
[CrossRef]

Huth, M.

M. Dressel, N. Kasper, K. Petukhov, D. N. Peligrad, B. Gorshunov, M. Jourdan, M. Huth, and H. Adrian, Phys. Rev. B 66, 035110 (2002).
[CrossRef]

Ieiri, S.

Jourdan, M.

M. Scheffler, M. Dressel, M. Jourdan, and H. Adrian, Physica B 378-380, 993 (2006).
[CrossRef]

A. Zakharov, M. Jourdan, M. Foerster, and H. Adrian, Physica B 359-361, 1108 (2005).
[CrossRef]

M. Jourdan, A. Zakharov, M. Foerster, and H. Adrian, Phys. Rev. Lett. 93, 097001 (2004).
[CrossRef] [PubMed]

M. Dressel, N. Kasper, K. Petukhov, D. N. Peligrad, B. Gorshunov, M. Jourdan, M. Huth, and H. Adrian, Phys. Rev. B 66, 035110 (2002).
[CrossRef]

J. P. Ostertag, M. Scheffler, M. Dressel, and M. Jourdan, http://www.ArXiv.org/abs/cond-mat/0910.5345.

Kasper, N.

M. Dressel, N. Kasper, K. Petukhov, D. N. Peligrad, B. Gorshunov, M. Jourdan, M. Huth, and H. Adrian, Phys. Rev. B 66, 035110 (2002).
[CrossRef]

Kim, B. J.

H. J. Choi, H. H. Lim, B. J. Kim, and M. Cha, J. Korean Phys. Soc. 53, 3197 (2008).
[CrossRef]

Konaka, T.

T. Konaka, M. Sato, H. Asano, and S. Kubo, J. Supercond. 4, 283 (1991).
[CrossRef]

Kozlov, G.

G. Kozlov and A. Volkov, in Millimeter and Submillimeter Wave Spectroscopy of Solids, G.Grüner, ed. (Springer, 1998), pp. 51-109.
[CrossRef]

Kubo, S.

T. Konaka, M. Sato, H. Asano, and S. Kubo, J. Supercond. 4, 283 (1991).
[CrossRef]

Lim, H. H.

H. J. Choi, H. H. Lim, B. J. Kim, and M. Cha, J. Korean Phys. Soc. 53, 3197 (2008).
[CrossRef]

Liu, H. L.

N. Cao, J. D. Garrett, T. Timusk, H. L. Liu, and D. B. Tanner, Phys. Rev. B 53, 2601 (1996).
[CrossRef]

Loidl, A.

B. P. Gorshunov, A. Volkov, I. E. Spektor, A. S. Prokhorov, A. A. Mukhin, M. Dressel, S. Uchida, and A. Loidl, Int. J. Infrared Millim. Waves 26, 1217 (2005).
[CrossRef]

Ludvigsen, H.

Mukhin, A. A.

B. P. Gorshunov, A. Volkov, I. E. Spektor, A. S. Prokhorov, A. A. Mukhin, M. Dressel, S. Uchida, and A. Loidl, Int. J. Infrared Millim. Waves 26, 1217 (2005).
[CrossRef]

Okada, M.

Ostertag, J. P.

J. P. Ostertag, M. Scheffler, M. Dressel, and M. Jourdan, http://www.ArXiv.org/abs/cond-mat/0910.5345.

Peligrad, D. N.

M. Dressel, N. Kasper, K. Petukhov, D. N. Peligrad, B. Gorshunov, M. Jourdan, M. Huth, and H. Adrian, Phys. Rev. B 66, 035110 (2002).
[CrossRef]

Petukhov, K.

M. Dressel, N. Kasper, K. Petukhov, D. N. Peligrad, B. Gorshunov, M. Jourdan, M. Huth, and H. Adrian, Phys. Rev. B 66, 035110 (2002).
[CrossRef]

Prokhorov, A. S.

B. P. Gorshunov, A. Volkov, I. E. Spektor, A. S. Prokhorov, A. A. Mukhin, M. Dressel, S. Uchida, and A. Loidl, Int. J. Infrared Millim. Waves 26, 1217 (2005).
[CrossRef]

Romann, A.

Sato, M.

T. Konaka, M. Sato, H. Asano, and S. Kubo, J. Supercond. 4, 283 (1991).
[CrossRef]

Scheffler, M.

M. Scheffler, M. Dressel, M. Jourdan, and H. Adrian, Physica B 378-380, 993 (2006).
[CrossRef]

J. P. Ostertag, M. Scheffler, M. Dressel, and M. Jourdan, http://www.ArXiv.org/abs/cond-mat/0910.5345.

Shimizu, S.

Shogo, I.

M. Okada and I. Shogo, Opt. Commun. 14, 4 (1975).
[CrossRef]

Sigrist, M. W.

Spektor, I. E.

B. P. Gorshunov, A. Volkov, I. E. Spektor, A. S. Prokhorov, A. A. Mukhin, M. Dressel, S. Uchida, and A. Loidl, Int. J. Infrared Millim. Waves 26, 1217 (2005).
[CrossRef]

Tanner, D. B.

N. Cao, J. D. Garrett, T. Timusk, H. L. Liu, and D. B. Tanner, Phys. Rev. B 53, 2601 (1996).
[CrossRef]

Timusk, T.

N. Cao, J. D. Garrett, T. Timusk, H. L. Liu, and D. B. Tanner, Phys. Rev. B 53, 2601 (1996).
[CrossRef]

Tseng, S.-M.

S.-M. Tseng and C.-L. Chen, J. Lightwave Technol. 7, 1956 (1989).
[CrossRef]

Uchida, S.

B. P. Gorshunov, A. Volkov, I. E. Spektor, A. S. Prokhorov, A. A. Mukhin, M. Dressel, S. Uchida, and A. Loidl, Int. J. Infrared Millim. Waves 26, 1217 (2005).
[CrossRef]

Volkov, A.

B. P. Gorshunov, A. Volkov, I. E. Spektor, A. S. Prokhorov, A. A. Mukhin, M. Dressel, S. Uchida, and A. Loidl, Int. J. Infrared Millim. Waves 26, 1217 (2005).
[CrossRef]

G. Kozlov and A. Volkov, in Millimeter and Submillimeter Wave Spectroscopy of Solids, G.Grüner, ed. (Springer, 1998), pp. 51-109.
[CrossRef]

von Lerber, T.

Welling, H.

D. Fröhlich and H. Welling, Appl. Phys. 9, 205 (1976).
[CrossRef]

Zakharov, A.

A. Zakharov, M. Jourdan, M. Foerster, and H. Adrian, Physica B 359-361, 1108 (2005).
[CrossRef]

M. Jourdan, A. Zakharov, M. Foerster, and H. Adrian, Phys. Rev. Lett. 93, 097001 (2004).
[CrossRef] [PubMed]

Appl. Opt. (2)

Appl. Phys. (1)

D. Fröhlich and H. Welling, Appl. Phys. 9, 205 (1976).
[CrossRef]

Int. J. Infrared Millim. Waves (1)

B. P. Gorshunov, A. Volkov, I. E. Spektor, A. S. Prokhorov, A. A. Mukhin, M. Dressel, S. Uchida, and A. Loidl, Int. J. Infrared Millim. Waves 26, 1217 (2005).
[CrossRef]

J. Korean Phys. Soc. (1)

H. J. Choi, H. H. Lim, B. J. Kim, and M. Cha, J. Korean Phys. Soc. 53, 3197 (2008).
[CrossRef]

J. Lightwave Technol. (1)

S.-M. Tseng and C.-L. Chen, J. Lightwave Technol. 7, 1956 (1989).
[CrossRef]

J. Supercond. (1)

T. Konaka, M. Sato, H. Asano, and S. Kubo, J. Supercond. 4, 283 (1991).
[CrossRef]

Microwave Opt. Technol. Lett. (1)

H. Chen, Microwave Opt. Technol. Lett. 50, 101 (2008).
[CrossRef]

Opt. Commun. (1)

M. Okada and I. Shogo, Opt. Commun. 14, 4 (1975).
[CrossRef]

Opt. Express (1)

Phys. Rev. B (2)

M. Dressel, N. Kasper, K. Petukhov, D. N. Peligrad, B. Gorshunov, M. Jourdan, M. Huth, and H. Adrian, Phys. Rev. B 66, 035110 (2002).
[CrossRef]

N. Cao, J. D. Garrett, T. Timusk, H. L. Liu, and D. B. Tanner, Phys. Rev. B 53, 2601 (1996).
[CrossRef]

Phys. Rev. Lett. (1)

M. Jourdan, A. Zakharov, M. Foerster, and H. Adrian, Phys. Rev. Lett. 93, 097001 (2004).
[CrossRef] [PubMed]

Physica B (2)

A. Zakharov, M. Jourdan, M. Foerster, and H. Adrian, Physica B 359-361, 1108 (2005).
[CrossRef]

M. Scheffler, M. Dressel, M. Jourdan, and H. Adrian, Physica B 378-380, 993 (2006).
[CrossRef]

Other (3)

G. Kozlov and A. Volkov, in Millimeter and Submillimeter Wave Spectroscopy of Solids, G.Grüner, ed. (Springer, 1998), pp. 51-109.
[CrossRef]

J. P. Ostertag, M. Scheffler, M. Dressel, and M. Jourdan, http://www.ArXiv.org/abs/cond-mat/0910.5345.

M. Dressel and G. Grüner, Electrodynamics of Solids (Cambridge U. Press, 2002).
[CrossRef]

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (3)

Fig. 1
Fig. 1

Schemes of experimental setup for (a) transmission measurement and (b) phase measurement. BWO, backward-wave oscillator as radiation source; C, chopper; P, polarizer; S, sample; D, Golay cell as detector; BS1, BS2, polarizers acting as beam splitters; M1, M2, movable mirrors; A, polarizer acting as analyzer.

Fig. 2
Fig. 2

Scheme of the phase measurement. For different positions in the interferometer, the propagation and polarization of the light are indicated by arrows or ellipses. Optical elements as in Fig. 1.

Fig. 3
Fig. 3

Experimental data (dots) and theoretical description (curves) for transmission and frequency-normalized phase for several angles of the polarization of the incoming light with respect to the crystallographic axes of the sample.

Equations (7)

Equations on this page are rendered with MathJax. Learn more.

T = [ ( 1 R ) 2 + 4 R sin 2 φ r ] exp ( α d ) ( 1 R exp ( α d ) ) 2 + 4 R exp ( α d ) sin 2 ( β + φ r ) ,
φ = 2 π n d λ 0 arctan ( k ( n 2 + k 2 1 ) ( k 2 + n 2 ) ( 2 + n ) n ) + arctan ( R exp ( α d ) sin 2 ( β + φ r ) 1 R exp ( α d ) cos 2 ( β + φ r ) ) ,
φ r = arctan ( 2 k 1 n 2 k 2 ) ,
β = 2 π d n λ 0 , α = 4 π k λ 0 ,
R = ( 1 n ) 2 + k 2 ( 1 + n ) 2 + k 2 .
T b ( γ , n 1 , n 2 , k 1 , k 2 ) = sin 2 ( γ ) T ( n 1 , k 1 ) + cos 2 ( γ ) T ( n 2 , k 2 ) .
φ b ( γ , n 1 , n 2 , k 1 , k 2 ) = arctan T ( n 1 , k 1 ) sin 2 ( γ ) sin ( φ ( n 1 , k 1 ) ) + T ( n 2 , k 2 ) cos 2 ( γ ) sin ( φ ( n 2 , k 2 ) ) T ( n 1 , k 1 ) sin 2 ( γ ) cos ( φ ( n 1 , k 1 ) ) + T ( n 2 , k 2 ) cos 2 ( γ ) cos ( φ ( n 2 , k 2 ) ) .

Metrics