Abstract

Phase retarders usually present a strong frequency dependence. We discuss the design and characterization of a terahertz achromatic quarter-wave plate. This wave plate is made from six birefringent quartz plates precisely designed and stacked together. Phase retardation has been measured over the whole terahertz range by terahertz polarimetry. This achromatic wave plate demonstrates a huge frequency bandwidth (νmaxνmin7), and therefore can be applied to terahertz time domain spectroscopy and polarimetry.

© 2006 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. D. Mittleman, Sensing with Terahertz Radiation, Springer Series in Optical Sciences (Springer, 2003).
  2. D. Grischkowsky, S. R. Keiding, M. van Exter, and C. Fattinger, J. Opt. Soc. Am. B 7, 2006 (1990).
    [CrossRef]
  3. M. Born and E. Wolf, Principles of Optics, 6th ed. (Cambridge University Press, 1997).
  4. R. M. A. Azzam and C. L. Spinu, J. Opt. Soc. Am. A 21, 2019 (2004).
    [CrossRef]
  5. N. Bokor, R. Shechter, N. Davidson, A. A. Friesem, and E. Hasman, Appl. Opt. 40, 2076 (2001).
    [CrossRef]
  6. G. P. Nordin and P. C. Deguzman, Opt. Express 5, 163 (1999).
    [CrossRef] [PubMed]
  7. S. Shen, J. She, and T. Tao, J. Opt. Soc. Am. A 22, 961 (2005).
    [CrossRef]
  8. J. M. Beckers, Appl. Opt. 10, 973 (1971).
    [CrossRef] [PubMed]
  9. G. Destriau and J. Prouteau, J. Phys. Radium 8, 53 (1949).
    [CrossRef]
  10. P. Hariharan, Opt. Eng. 35, 3335 (1996).
    [CrossRef]
  11. B. Boulbry, B. Bousquet, B. L. Jeune, Y. Guern, and J. Lotrian, Opt. Express 9, 225 (2001).
    [CrossRef] [PubMed]
  12. J. M. Beckers, Appl. Opt. 11, 681 (1972).
    [CrossRef] [PubMed]
  13. R. C. Jones, J. Opt. Soc. Am. 31, 488 (1941).
    [CrossRef]
  14. H. Hurwitz and R. C. Jones, J. Opt. Soc. Am. 31, 493 (1941).
    [CrossRef]
  15. W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes in C (Cambridge U. Press, 1992).
  16. C. Fattinger and D. Grischkowsky, Appl. Phys. Lett. 54, 490 (1989).
    [CrossRef]

2005

2004

2001

1999

1996

P. Hariharan, Opt. Eng. 35, 3335 (1996).
[CrossRef]

1990

1989

C. Fattinger and D. Grischkowsky, Appl. Phys. Lett. 54, 490 (1989).
[CrossRef]

1972

1971

1949

G. Destriau and J. Prouteau, J. Phys. Radium 8, 53 (1949).
[CrossRef]

1941

Azzam, R. M. A.

Beckers, J. M.

Bokor, N.

Born, M.

M. Born and E. Wolf, Principles of Optics, 6th ed. (Cambridge University Press, 1997).

Boulbry, B.

Bousquet, B.

Davidson, N.

Deguzman, P. C.

Destriau, G.

G. Destriau and J. Prouteau, J. Phys. Radium 8, 53 (1949).
[CrossRef]

Fattinger, C.

Flannery, B. P.

W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes in C (Cambridge U. Press, 1992).

Friesem, A. A.

Grischkowsky, D.

Guern, Y.

Hariharan, P.

P. Hariharan, Opt. Eng. 35, 3335 (1996).
[CrossRef]

Hasman, E.

Hurwitz, H.

Jeune, B. L.

Jones, R. C.

Keiding, S. R.

Lotrian, J.

Mittleman, D.

D. Mittleman, Sensing with Terahertz Radiation, Springer Series in Optical Sciences (Springer, 2003).

Nordin, G. P.

Press, W. H.

W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes in C (Cambridge U. Press, 1992).

Prouteau, J.

G. Destriau and J. Prouteau, J. Phys. Radium 8, 53 (1949).
[CrossRef]

She, J.

Shechter, R.

Shen, S.

Spinu, C. L.

Tao, T.

Teukolsky, S. A.

W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes in C (Cambridge U. Press, 1992).

van Exter, M.

Vetterling, W. T.

W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes in C (Cambridge U. Press, 1992).

Wolf, E.

M. Born and E. Wolf, Principles of Optics, 6th ed. (Cambridge University Press, 1997).

Appl. Opt.

Appl. Phys. Lett.

C. Fattinger and D. Grischkowsky, Appl. Phys. Lett. 54, 490 (1989).
[CrossRef]

J. Opt. Soc. Am.

J. Opt. Soc. Am. A

J. Opt. Soc. Am. B

J. Phys. Radium

G. Destriau and J. Prouteau, J. Phys. Radium 8, 53 (1949).
[CrossRef]

Opt. Eng.

P. Hariharan, Opt. Eng. 35, 3335 (1996).
[CrossRef]

Opt. Express

Other

W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes in C (Cambridge U. Press, 1992).

M. Born and E. Wolf, Principles of Optics, 6th ed. (Cambridge University Press, 1997).

D. Mittleman, Sensing with Terahertz Radiation, Springer Series in Optical Sciences (Springer, 2003).

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 (4)

Fig. 1
Fig. 1

Frequency dependence retardation of standard and TAQ quarter-wave plates. Relative bandwidth δ ν ν is given at 3% bandwidth (horizontal lines). Comparison with a standard birefringent wave plate (dotted curve); two-plate combination (dashed curve) and the six-plate TAQ wave plate (solid curve, calculation; filled circles, data).

Fig. 2
Fig. 2

Poincaré sphere representation of polarization state evolution through the six quartz plates of the TAQ wave plate. When the incident polarization (0) is linear, the polarization output of the TAQ wave plate (6) is circular.

Fig. 3
Fig. 3

(Color online) (A) Setup for polarimetry measurements of the wave plate. (B) Projection of the electric field E on the rotating polarizer and fixed analyzer gives the measured signal S ( ϕ ) .

Fig. 4
Fig. 4

Normalized amplitude of the signal from polarimetry measurements versus the angle ϕ of the fixed polarizer in polar coordinates. The spectral component is at 1 THz . Filled circles, data; solid curve, theoretical fit.

Tables (1)

Tables Icon

Table 1 Calculated Thickness and Orientation of Quartz Plates 1–6

Equations (5)

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

J i ( δ i , θ i ) = [ cos δ i 2 + i cos 2 θ i sin δ i 2 i sin 2 θ i sin δ i 2 i sin 2 θ i sin δ i 2 cos δ i 2 i cos 2 θ i sin δ i 2 ] ,
J = i J i = ( A B B * A * ) ,
tan 2 δ 2 = Im A 2 + Im B 2 Re A 2 + Re B 2 .
E ̱ = a cos ( ω t ) x + b cos ( ω t + δ ) y ,
S ( ϕ ) = cos ϕ [ ( a cos ϕ + b sin ϕ cos δ ) 2 + ( b sin ϕ sin δ ) 2 ] 1 2 .

Metrics