Abstract

We report what is to our knowledge the first observation of a subpicosecond terahertz (THz) pulse propagating as a superposition of the whispering-gallery modes (WGMs) of a dielectric cylinder. The WGM THz pulses are coupled into and out of a 5-mm-diameter silicon cylinder via a 100µm-thick, single-mode silicon slab waveguide. We observed two round-trip cylindrical cavity pulses from this coupling structure, which cover a continuous frequency range from 0.4 to 1.8 THz. The coupled-mode equations are used to analyze this system and give reasonably good agreement with the experiment in both the frequency and the time domains.

© 2002 Optical Society of America

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References

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  1. V. Sandoghdar, F. Treussart, J. Hare, V. Lefèvre-Seguin, J.-M. Raimond, and S. Haroche, Phys. Rev. A 54, R1777 (1996).
    [CrossRef]
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    [CrossRef]
  3. M. Cai, O. Painter, and K. J. Vahala, Phys. Rev. Lett. 85, 74 (2000).
    [CrossRef] [PubMed]
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    [CrossRef]
  5. C. Vedrenne and J. Arnaud, IEE Proc. H 129, 183 (1982).
  6. W. L. Zhang, J. Q. Zhang, and D. Grischkowsky, Appl. Phys. Lett. 78, 2425 (2001).
    [CrossRef]
  7. V. B. Braginsky, M. L. Gordetsky, and V. S. Ilchenko, Phys. Lett. A 137, 393 (1989).
    [CrossRef]
  8. L. Collot, V. Lefèvre-Seguin, M. Brune, J. M. Raimond, and S. Haroche, Europhys. Lett. 23, 327 (1993).
    [CrossRef]
  9. R. Mendis and D. Grischkowsky, J. Appl. Phys. 88, 4449 (2000).
    [CrossRef]
  10. R. Mendis and D. Grischkowsky, Opt. Lett. 26, 846 (2001).
    [CrossRef]
  11. G. Gallot, S. P. Jamison, R. W. McGowan, and D. Grischkowsky, J. Opt. Soc. Am. B 17, 851 (2000).
    [CrossRef]
  12. Q. Han, Y. Kogami, Y. Tomabechi, and K. Matsumura, IEEE Trans. Microwave Theory Tech. 44, 2017 (1996).
    [CrossRef]
  13. J. D. Stratton, Electromagnetic Theory (McGraw-Hill, New York, 1941).

2001 (2)

W. L. Zhang, J. Q. Zhang, and D. Grischkowsky, Appl. Phys. Lett. 78, 2425 (2001).
[CrossRef]

R. Mendis and D. Grischkowsky, Opt. Lett. 26, 846 (2001).
[CrossRef]

2000 (3)

G. Gallot, S. P. Jamison, R. W. McGowan, and D. Grischkowsky, J. Opt. Soc. Am. B 17, 851 (2000).
[CrossRef]

R. Mendis and D. Grischkowsky, J. Appl. Phys. 88, 4449 (2000).
[CrossRef]

M. Cai, O. Painter, and K. J. Vahala, Phys. Rev. Lett. 85, 74 (2000).
[CrossRef] [PubMed]

1997 (1)

A. C. R. Pipino, J. W. Hudgens, and R. E. Huie, Rev. Sci. Instrum. 68, 2978 (1997).
[CrossRef]

1996 (2)

V. Sandoghdar, F. Treussart, J. Hare, V. Lefèvre-Seguin, J.-M. Raimond, and S. Haroche, Phys. Rev. A 54, R1777 (1996).
[CrossRef]

Q. Han, Y. Kogami, Y. Tomabechi, and K. Matsumura, IEEE Trans. Microwave Theory Tech. 44, 2017 (1996).
[CrossRef]

1993 (1)

L. Collot, V. Lefèvre-Seguin, M. Brune, J. M. Raimond, and S. Haroche, Europhys. Lett. 23, 327 (1993).
[CrossRef]

1989 (2)

V. B. Braginsky, M. L. Gordetsky, and V. S. Ilchenko, Phys. Lett. A 137, 393 (1989).
[CrossRef]

S. Haroche and D. Kleppner, Phys. Today 42(1), 24 (1989).
[CrossRef]

1982 (1)

C. Vedrenne and J. Arnaud, IEE Proc. H 129, 183 (1982).

Arnaud, J.

C. Vedrenne and J. Arnaud, IEE Proc. H 129, 183 (1982).

Braginsky, V. B.

V. B. Braginsky, M. L. Gordetsky, and V. S. Ilchenko, Phys. Lett. A 137, 393 (1989).
[CrossRef]

Brune, M.

L. Collot, V. Lefèvre-Seguin, M. Brune, J. M. Raimond, and S. Haroche, Europhys. Lett. 23, 327 (1993).
[CrossRef]

Cai, M.

M. Cai, O. Painter, and K. J. Vahala, Phys. Rev. Lett. 85, 74 (2000).
[CrossRef] [PubMed]

Collot, L.

L. Collot, V. Lefèvre-Seguin, M. Brune, J. M. Raimond, and S. Haroche, Europhys. Lett. 23, 327 (1993).
[CrossRef]

Gallot, G.

Gordetsky, M. L.

V. B. Braginsky, M. L. Gordetsky, and V. S. Ilchenko, Phys. Lett. A 137, 393 (1989).
[CrossRef]

Grischkowsky, D.

R. Mendis and D. Grischkowsky, Opt. Lett. 26, 846 (2001).
[CrossRef]

W. L. Zhang, J. Q. Zhang, and D. Grischkowsky, Appl. Phys. Lett. 78, 2425 (2001).
[CrossRef]

R. Mendis and D. Grischkowsky, J. Appl. Phys. 88, 4449 (2000).
[CrossRef]

G. Gallot, S. P. Jamison, R. W. McGowan, and D. Grischkowsky, J. Opt. Soc. Am. B 17, 851 (2000).
[CrossRef]

Han, Q.

Q. Han, Y. Kogami, Y. Tomabechi, and K. Matsumura, IEEE Trans. Microwave Theory Tech. 44, 2017 (1996).
[CrossRef]

Hare, J.

V. Sandoghdar, F. Treussart, J. Hare, V. Lefèvre-Seguin, J.-M. Raimond, and S. Haroche, Phys. Rev. A 54, R1777 (1996).
[CrossRef]

Haroche, S.

V. Sandoghdar, F. Treussart, J. Hare, V. Lefèvre-Seguin, J.-M. Raimond, and S. Haroche, Phys. Rev. A 54, R1777 (1996).
[CrossRef]

L. Collot, V. Lefèvre-Seguin, M. Brune, J. M. Raimond, and S. Haroche, Europhys. Lett. 23, 327 (1993).
[CrossRef]

S. Haroche and D. Kleppner, Phys. Today 42(1), 24 (1989).
[CrossRef]

Hudgens, J. W.

A. C. R. Pipino, J. W. Hudgens, and R. E. Huie, Rev. Sci. Instrum. 68, 2978 (1997).
[CrossRef]

Huie, R. E.

A. C. R. Pipino, J. W. Hudgens, and R. E. Huie, Rev. Sci. Instrum. 68, 2978 (1997).
[CrossRef]

Ilchenko, V. S.

V. B. Braginsky, M. L. Gordetsky, and V. S. Ilchenko, Phys. Lett. A 137, 393 (1989).
[CrossRef]

Jamison, S. P.

Kleppner, D.

S. Haroche and D. Kleppner, Phys. Today 42(1), 24 (1989).
[CrossRef]

Kogami, Y.

Q. Han, Y. Kogami, Y. Tomabechi, and K. Matsumura, IEEE Trans. Microwave Theory Tech. 44, 2017 (1996).
[CrossRef]

Lefèvre-Seguin, V.

V. Sandoghdar, F. Treussart, J. Hare, V. Lefèvre-Seguin, J.-M. Raimond, and S. Haroche, Phys. Rev. A 54, R1777 (1996).
[CrossRef]

L. Collot, V. Lefèvre-Seguin, M. Brune, J. M. Raimond, and S. Haroche, Europhys. Lett. 23, 327 (1993).
[CrossRef]

Matsumura, K.

Q. Han, Y. Kogami, Y. Tomabechi, and K. Matsumura, IEEE Trans. Microwave Theory Tech. 44, 2017 (1996).
[CrossRef]

McGowan, R. W.

Mendis, R.

R. Mendis and D. Grischkowsky, Opt. Lett. 26, 846 (2001).
[CrossRef]

R. Mendis and D. Grischkowsky, J. Appl. Phys. 88, 4449 (2000).
[CrossRef]

Painter, O.

M. Cai, O. Painter, and K. J. Vahala, Phys. Rev. Lett. 85, 74 (2000).
[CrossRef] [PubMed]

Pipino, A. C. R.

A. C. R. Pipino, J. W. Hudgens, and R. E. Huie, Rev. Sci. Instrum. 68, 2978 (1997).
[CrossRef]

Raimond, J. M.

L. Collot, V. Lefèvre-Seguin, M. Brune, J. M. Raimond, and S. Haroche, Europhys. Lett. 23, 327 (1993).
[CrossRef]

Raimond, J.-M.

V. Sandoghdar, F. Treussart, J. Hare, V. Lefèvre-Seguin, J.-M. Raimond, and S. Haroche, Phys. Rev. A 54, R1777 (1996).
[CrossRef]

Sandoghdar, V.

V. Sandoghdar, F. Treussart, J. Hare, V. Lefèvre-Seguin, J.-M. Raimond, and S. Haroche, Phys. Rev. A 54, R1777 (1996).
[CrossRef]

Stratton, J. D.

J. D. Stratton, Electromagnetic Theory (McGraw-Hill, New York, 1941).

Tomabechi, Y.

Q. Han, Y. Kogami, Y. Tomabechi, and K. Matsumura, IEEE Trans. Microwave Theory Tech. 44, 2017 (1996).
[CrossRef]

Treussart, F.

V. Sandoghdar, F. Treussart, J. Hare, V. Lefèvre-Seguin, J.-M. Raimond, and S. Haroche, Phys. Rev. A 54, R1777 (1996).
[CrossRef]

Vahala, K. J.

M. Cai, O. Painter, and K. J. Vahala, Phys. Rev. Lett. 85, 74 (2000).
[CrossRef] [PubMed]

Vedrenne, C.

C. Vedrenne and J. Arnaud, IEE Proc. H 129, 183 (1982).

Zhang, J. Q.

W. L. Zhang, J. Q. Zhang, and D. Grischkowsky, Appl. Phys. Lett. 78, 2425 (2001).
[CrossRef]

Zhang, W. L.

W. L. Zhang, J. Q. Zhang, and D. Grischkowsky, Appl. Phys. Lett. 78, 2425 (2001).
[CrossRef]

Appl. Phys. Lett. (1)

W. L. Zhang, J. Q. Zhang, and D. Grischkowsky, Appl. Phys. Lett. 78, 2425 (2001).
[CrossRef]

Europhys. Lett. (1)

L. Collot, V. Lefèvre-Seguin, M. Brune, J. M. Raimond, and S. Haroche, Europhys. Lett. 23, 327 (1993).
[CrossRef]

IEE Proc. H (1)

C. Vedrenne and J. Arnaud, IEE Proc. H 129, 183 (1982).

IEEE Trans. Microwave Theory Tech. (1)

Q. Han, Y. Kogami, Y. Tomabechi, and K. Matsumura, IEEE Trans. Microwave Theory Tech. 44, 2017 (1996).
[CrossRef]

J. Appl. Phys. (1)

R. Mendis and D. Grischkowsky, J. Appl. Phys. 88, 4449 (2000).
[CrossRef]

J. Opt. Soc. Am. B (1)

Opt. Lett. (1)

Phys. Lett. A (1)

V. B. Braginsky, M. L. Gordetsky, and V. S. Ilchenko, Phys. Lett. A 137, 393 (1989).
[CrossRef]

Phys. Rev. A (1)

V. Sandoghdar, F. Treussart, J. Hare, V. Lefèvre-Seguin, J.-M. Raimond, and S. Haroche, Phys. Rev. A 54, R1777 (1996).
[CrossRef]

Phys. Rev. Lett. (1)

M. Cai, O. Painter, and K. J. Vahala, Phys. Rev. Lett. 85, 74 (2000).
[CrossRef] [PubMed]

Phys. Today (1)

S. Haroche and D. Kleppner, Phys. Today 42(1), 24 (1989).
[CrossRef]

Rev. Sci. Instrum. (1)

A. C. R. Pipino, J. W. Hudgens, and R. E. Huie, Rev. Sci. Instrum. 68, 2978 (1997).
[CrossRef]

Other (1)

J. D. Stratton, Electromagnetic Theory (McGraw-Hill, New York, 1941).

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Figures (3)

Fig. 1
Fig. 1

Measured time-domain pulses. (a) Reference scan without the cylinder, (b) sample scan with the cylinder in contact with the slab waveguide. Rightmost inset, spectra of the main transmitted pulses for both situations. The measured input pulse is shown in the leftmost inset. The center inset shows the cross section of the slab–cylinder coupling structure.

Fig. 2
Fig. 2

Measured and calculated results of (a) the first (pulse 4b; Fig. 1) and (b) the second (pulse 5b) cavity pulses. Thin solid curves, references; curves with open circles, experiment; thick solid curves, calculation results.

Fig. 3
Fig. 3

Spectra of (a) the first (pulse 4b; Fig. 1) and (b) the second (pulse 5b) cavity pulses. Thin solid curves, references; curves with open circles, experimental results; thick solid curves, calculation results.

Equations (4)

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

ddθPaaa+Pabb=iCaaa+iCabb,
ddθPbaa+Pbbb=iCbaa+iCbbb,
H1ω=nbnsωancωexpi2πlnω,
H2ω=nbnsωbncωancωexpi4πlnω.

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