Abstract

A semiclassical implementation of the finite-difference time-domain method is used to simulate coherent linear propagation of ultrashort mid-infrared pulses through optically dense samples of isotropically diluted liquid water. Bloch equations for the density matrix are used as a simple model of the O—H oscillator relaxation, and the algorithm is extended to other response functions. Sensitivity of the field to the form of the response function is demonstrated, and the results are compared with experimentally determined electric fields in the same media [Rev. Sci. Instrum. 73, 2227 (2002)].

© 2003 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. U. van Buerck, Hyperfine Interact. 123/124, 483 (1999).
    [CrossRef]
  2. J. A. Gruetzmacher and N. F. Scherer, Rev. Sci. Instrum. 73, 2227 (2002).
    [CrossRef]
  3. M. Bonn, S. Woutersen, and H. J. Bakker, Opt. Commun. 147, 138 (1998).
    [CrossRef]
  4. D. S. Kim, J. Shah, D. A. B. Miller, T. C. Damen, A. Vinattieri, W. Schaeffer, and L. N. Pfeiffer, Phys. Rev. B 50, 18240 (1994).
    [CrossRef]
  5. F. C. Spano and W. S. Warren, J. Chem. Phys. 93, 1546 (1990).
  6. H.-J. Hartmann and A. Laubereau, J. Chem. Phys. 80, 4663 (1984).
  7. A. Taflove and S. C. Hagness, Computational Electrodynamics: The Finite-Difference Time-Domain Method, 2nd ed. (Artech House, Norwood, Mass., 2000).
  8. M. C. Beard and C. A. Schmuttenmaer, J. Chem. Phys. 114, 2903 (2001).
  9. O. D. Muecke, T. Tritschler, M. Wegener, U. Morgner, and F. X. Kaertner, Phys. Rev. Lett. 87, 057401 (2001).
    [CrossRef]
  10. R. W. Ziolkowski, J. M. Arnold, and D. M. Cogny, Phys. Rev. A 52, 3082 (1995).
    [CrossRef] [PubMed]
  11. H. R. Wyss and M. Falk, Can. J. Chem. 48, 607 (1970).
    [CrossRef]
  12. J. E. Bertie, M. Khalique Ahmed, and H. H. Eysel, J. Phys. Chem. 93, 2210 (1989).
  13. J. A. Gruetzmacher, submitted to J. Chem. Phys.
  14. J. Stenger, D. Madsen, P. Hamm, E. T. J. Nibbering, and T. Elsaesser, J. Phys. Chem. A 106, 2341 (2002).
  15. T. Joo, Y. Jia, J.-Y. Yu, M. J. Lang, and G. R. Fleming, J. Chem. Phys. 104, 6089 (1996).
  16. S. Yeremenko, M. S. Pshenichnikov, and D. A. Wiersma, in Ultrafast Phenomena XIII, M. Murnane, N. F. Scherer, R. J. D. Miller, and A. M. Weiner, eds. (Springer-Verlag, Berlin, 2002), p. 574.
  17. J. A. Gruetzmacher and N. F. Scherer, submitted to J. Phys. Chem. A.

2002 (2)

J. A. Gruetzmacher and N. F. Scherer, Rev. Sci. Instrum. 73, 2227 (2002).
[CrossRef]

J. Stenger, D. Madsen, P. Hamm, E. T. J. Nibbering, and T. Elsaesser, J. Phys. Chem. A 106, 2341 (2002).

2001 (2)

M. C. Beard and C. A. Schmuttenmaer, J. Chem. Phys. 114, 2903 (2001).

O. D. Muecke, T. Tritschler, M. Wegener, U. Morgner, and F. X. Kaertner, Phys. Rev. Lett. 87, 057401 (2001).
[CrossRef]

1999 (1)

U. van Buerck, Hyperfine Interact. 123/124, 483 (1999).
[CrossRef]

1998 (1)

M. Bonn, S. Woutersen, and H. J. Bakker, Opt. Commun. 147, 138 (1998).
[CrossRef]

1996 (1)

T. Joo, Y. Jia, J.-Y. Yu, M. J. Lang, and G. R. Fleming, J. Chem. Phys. 104, 6089 (1996).

1995 (1)

R. W. Ziolkowski, J. M. Arnold, and D. M. Cogny, Phys. Rev. A 52, 3082 (1995).
[CrossRef] [PubMed]

1994 (1)

D. S. Kim, J. Shah, D. A. B. Miller, T. C. Damen, A. Vinattieri, W. Schaeffer, and L. N. Pfeiffer, Phys. Rev. B 50, 18240 (1994).
[CrossRef]

1990 (1)

F. C. Spano and W. S. Warren, J. Chem. Phys. 93, 1546 (1990).

1989 (1)

J. E. Bertie, M. Khalique Ahmed, and H. H. Eysel, J. Phys. Chem. 93, 2210 (1989).

1984 (1)

H.-J. Hartmann and A. Laubereau, J. Chem. Phys. 80, 4663 (1984).

1970 (1)

H. R. Wyss and M. Falk, Can. J. Chem. 48, 607 (1970).
[CrossRef]

Arnold, J. M.

R. W. Ziolkowski, J. M. Arnold, and D. M. Cogny, Phys. Rev. A 52, 3082 (1995).
[CrossRef] [PubMed]

Bakker, H. J.

M. Bonn, S. Woutersen, and H. J. Bakker, Opt. Commun. 147, 138 (1998).
[CrossRef]

Beard, M. C.

M. C. Beard and C. A. Schmuttenmaer, J. Chem. Phys. 114, 2903 (2001).

Bertie, J. E.

J. E. Bertie, M. Khalique Ahmed, and H. H. Eysel, J. Phys. Chem. 93, 2210 (1989).

Bonn, M.

M. Bonn, S. Woutersen, and H. J. Bakker, Opt. Commun. 147, 138 (1998).
[CrossRef]

Cogny, D. M.

R. W. Ziolkowski, J. M. Arnold, and D. M. Cogny, Phys. Rev. A 52, 3082 (1995).
[CrossRef] [PubMed]

Damen, T. C.

D. S. Kim, J. Shah, D. A. B. Miller, T. C. Damen, A. Vinattieri, W. Schaeffer, and L. N. Pfeiffer, Phys. Rev. B 50, 18240 (1994).
[CrossRef]

Elsaesser, T.

J. Stenger, D. Madsen, P. Hamm, E. T. J. Nibbering, and T. Elsaesser, J. Phys. Chem. A 106, 2341 (2002).

Eysel, H. H.

J. E. Bertie, M. Khalique Ahmed, and H. H. Eysel, J. Phys. Chem. 93, 2210 (1989).

Falk, M.

H. R. Wyss and M. Falk, Can. J. Chem. 48, 607 (1970).
[CrossRef]

Fleming, G. R.

T. Joo, Y. Jia, J.-Y. Yu, M. J. Lang, and G. R. Fleming, J. Chem. Phys. 104, 6089 (1996).

Gruetzmacher, J. A.

J. A. Gruetzmacher and N. F. Scherer, Rev. Sci. Instrum. 73, 2227 (2002).
[CrossRef]

J. A. Gruetzmacher, submitted to J. Chem. Phys.

J. A. Gruetzmacher and N. F. Scherer, submitted to J. Phys. Chem. A.

Hagness, S. C.

A. Taflove and S. C. Hagness, Computational Electrodynamics: The Finite-Difference Time-Domain Method, 2nd ed. (Artech House, Norwood, Mass., 2000).

Hamm, P.

J. Stenger, D. Madsen, P. Hamm, E. T. J. Nibbering, and T. Elsaesser, J. Phys. Chem. A 106, 2341 (2002).

Hartmann, H.-J.

H.-J. Hartmann and A. Laubereau, J. Chem. Phys. 80, 4663 (1984).

Jia, Y.

T. Joo, Y. Jia, J.-Y. Yu, M. J. Lang, and G. R. Fleming, J. Chem. Phys. 104, 6089 (1996).

Joo, T.

T. Joo, Y. Jia, J.-Y. Yu, M. J. Lang, and G. R. Fleming, J. Chem. Phys. 104, 6089 (1996).

Kaertner, F. X.

O. D. Muecke, T. Tritschler, M. Wegener, U. Morgner, and F. X. Kaertner, Phys. Rev. Lett. 87, 057401 (2001).
[CrossRef]

Khalique Ahmed, M.

J. E. Bertie, M. Khalique Ahmed, and H. H. Eysel, J. Phys. Chem. 93, 2210 (1989).

Kim, D. S.

D. S. Kim, J. Shah, D. A. B. Miller, T. C. Damen, A. Vinattieri, W. Schaeffer, and L. N. Pfeiffer, Phys. Rev. B 50, 18240 (1994).
[CrossRef]

Lang, M. J.

T. Joo, Y. Jia, J.-Y. Yu, M. J. Lang, and G. R. Fleming, J. Chem. Phys. 104, 6089 (1996).

Laubereau, A.

H.-J. Hartmann and A. Laubereau, J. Chem. Phys. 80, 4663 (1984).

Madsen, D.

J. Stenger, D. Madsen, P. Hamm, E. T. J. Nibbering, and T. Elsaesser, J. Phys. Chem. A 106, 2341 (2002).

Miller, D. A. B.

D. S. Kim, J. Shah, D. A. B. Miller, T. C. Damen, A. Vinattieri, W. Schaeffer, and L. N. Pfeiffer, Phys. Rev. B 50, 18240 (1994).
[CrossRef]

Morgner, U.

O. D. Muecke, T. Tritschler, M. Wegener, U. Morgner, and F. X. Kaertner, Phys. Rev. Lett. 87, 057401 (2001).
[CrossRef]

Muecke, O. D.

O. D. Muecke, T. Tritschler, M. Wegener, U. Morgner, and F. X. Kaertner, Phys. Rev. Lett. 87, 057401 (2001).
[CrossRef]

Nibbering, E. T. J.

J. Stenger, D. Madsen, P. Hamm, E. T. J. Nibbering, and T. Elsaesser, J. Phys. Chem. A 106, 2341 (2002).

Pfeiffer, L. N.

D. S. Kim, J. Shah, D. A. B. Miller, T. C. Damen, A. Vinattieri, W. Schaeffer, and L. N. Pfeiffer, Phys. Rev. B 50, 18240 (1994).
[CrossRef]

Pshenichnikov, M. S.

S. Yeremenko, M. S. Pshenichnikov, and D. A. Wiersma, in Ultrafast Phenomena XIII, M. Murnane, N. F. Scherer, R. J. D. Miller, and A. M. Weiner, eds. (Springer-Verlag, Berlin, 2002), p. 574.

Schaeffer, W.

D. S. Kim, J. Shah, D. A. B. Miller, T. C. Damen, A. Vinattieri, W. Schaeffer, and L. N. Pfeiffer, Phys. Rev. B 50, 18240 (1994).
[CrossRef]

Scherer, N. F.

J. A. Gruetzmacher and N. F. Scherer, Rev. Sci. Instrum. 73, 2227 (2002).
[CrossRef]

J. A. Gruetzmacher and N. F. Scherer, submitted to J. Phys. Chem. A.

Schmuttenmaer, C. A.

M. C. Beard and C. A. Schmuttenmaer, J. Chem. Phys. 114, 2903 (2001).

Shah, J.

D. S. Kim, J. Shah, D. A. B. Miller, T. C. Damen, A. Vinattieri, W. Schaeffer, and L. N. Pfeiffer, Phys. Rev. B 50, 18240 (1994).
[CrossRef]

Spano, F. C.

F. C. Spano and W. S. Warren, J. Chem. Phys. 93, 1546 (1990).

Stenger, J.

J. Stenger, D. Madsen, P. Hamm, E. T. J. Nibbering, and T. Elsaesser, J. Phys. Chem. A 106, 2341 (2002).

Taflove, A.

A. Taflove and S. C. Hagness, Computational Electrodynamics: The Finite-Difference Time-Domain Method, 2nd ed. (Artech House, Norwood, Mass., 2000).

Tritschler, T.

O. D. Muecke, T. Tritschler, M. Wegener, U. Morgner, and F. X. Kaertner, Phys. Rev. Lett. 87, 057401 (2001).
[CrossRef]

van Buerck, U.

U. van Buerck, Hyperfine Interact. 123/124, 483 (1999).
[CrossRef]

Vinattieri, A.

D. S. Kim, J. Shah, D. A. B. Miller, T. C. Damen, A. Vinattieri, W. Schaeffer, and L. N. Pfeiffer, Phys. Rev. B 50, 18240 (1994).
[CrossRef]

Warren, W. S.

F. C. Spano and W. S. Warren, J. Chem. Phys. 93, 1546 (1990).

Wegener, M.

O. D. Muecke, T. Tritschler, M. Wegener, U. Morgner, and F. X. Kaertner, Phys. Rev. Lett. 87, 057401 (2001).
[CrossRef]

Wiersma, D. A.

S. Yeremenko, M. S. Pshenichnikov, and D. A. Wiersma, in Ultrafast Phenomena XIII, M. Murnane, N. F. Scherer, R. J. D. Miller, and A. M. Weiner, eds. (Springer-Verlag, Berlin, 2002), p. 574.

Woutersen, S.

M. Bonn, S. Woutersen, and H. J. Bakker, Opt. Commun. 147, 138 (1998).
[CrossRef]

Wyss, H. R.

H. R. Wyss and M. Falk, Can. J. Chem. 48, 607 (1970).
[CrossRef]

Yeremenko, S.

S. Yeremenko, M. S. Pshenichnikov, and D. A. Wiersma, in Ultrafast Phenomena XIII, M. Murnane, N. F. Scherer, R. J. D. Miller, and A. M. Weiner, eds. (Springer-Verlag, Berlin, 2002), p. 574.

Yu, J.-Y.

T. Joo, Y. Jia, J.-Y. Yu, M. J. Lang, and G. R. Fleming, J. Chem. Phys. 104, 6089 (1996).

Ziolkowski, R. W.

R. W. Ziolkowski, J. M. Arnold, and D. M. Cogny, Phys. Rev. A 52, 3082 (1995).
[CrossRef] [PubMed]

Can. J. Chem. (1)

H. R. Wyss and M. Falk, Can. J. Chem. 48, 607 (1970).
[CrossRef]

Hyperfine Interact. (1)

U. van Buerck, Hyperfine Interact. 123/124, 483 (1999).
[CrossRef]

J. Chem. Phys. (4)

F. C. Spano and W. S. Warren, J. Chem. Phys. 93, 1546 (1990).

H.-J. Hartmann and A. Laubereau, J. Chem. Phys. 80, 4663 (1984).

M. C. Beard and C. A. Schmuttenmaer, J. Chem. Phys. 114, 2903 (2001).

T. Joo, Y. Jia, J.-Y. Yu, M. J. Lang, and G. R. Fleming, J. Chem. Phys. 104, 6089 (1996).

J. Phys. Chem. (1)

J. E. Bertie, M. Khalique Ahmed, and H. H. Eysel, J. Phys. Chem. 93, 2210 (1989).

J. Phys. Chem. A (1)

J. Stenger, D. Madsen, P. Hamm, E. T. J. Nibbering, and T. Elsaesser, J. Phys. Chem. A 106, 2341 (2002).

Opt. Commun. (1)

M. Bonn, S. Woutersen, and H. J. Bakker, Opt. Commun. 147, 138 (1998).
[CrossRef]

Phys. Rev. A (1)

R. W. Ziolkowski, J. M. Arnold, and D. M. Cogny, Phys. Rev. A 52, 3082 (1995).
[CrossRef] [PubMed]

Phys. Rev. B (1)

D. S. Kim, J. Shah, D. A. B. Miller, T. C. Damen, A. Vinattieri, W. Schaeffer, and L. N. Pfeiffer, Phys. Rev. B 50, 18240 (1994).
[CrossRef]

Phys. Rev. Lett. (1)

O. D. Muecke, T. Tritschler, M. Wegener, U. Morgner, and F. X. Kaertner, Phys. Rev. Lett. 87, 057401 (2001).
[CrossRef]

Rev. Sci. Instrum. (1)

J. A. Gruetzmacher and N. F. Scherer, Rev. Sci. Instrum. 73, 2227 (2002).
[CrossRef]

Other (4)

A. Taflove and S. C. Hagness, Computational Electrodynamics: The Finite-Difference Time-Domain Method, 2nd ed. (Artech House, Norwood, Mass., 2000).

J. A. Gruetzmacher, submitted to J. Chem. Phys.

S. Yeremenko, M. S. Pshenichnikov, and D. A. Wiersma, in Ultrafast Phenomena XIII, M. Murnane, N. F. Scherer, R. J. D. Miller, and A. M. Weiner, eds. (Springer-Verlag, Berlin, 2002), p. 574.

J. A. Gruetzmacher and N. F. Scherer, submitted to J. Phys. Chem. A.

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 (1)

Fig. 1
Fig. 1

Dependence of simulated fields on response functions for 1:50 HDO:D2O solution: A, experimentally determined field, B, Bloch relaxation; C, inhomogeneous broadening; D, Gaussian response. In each case the experimental and simulated fields were normalized. Response function parameters were set to match the FWHM transition spectral width.

Equations (7)

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

δHyδt=-1μ0δExδz, δExδt=-1ϵδHyδz-1ϵδPxδt,
Hym+12,n+12=Hym+12,n-12-Δtμ0ΔzExm+1,n-Exm,n,
Exm,n+1=Exm,n-ΔtϵΔzHym+12,n+12-Hym-12,n+12-ΔtAn+12×12u1m,n+1+u1m,n+ΔtBn+1212u2m,n+1+u2m,n,
u1m,n+1=u1m,n+Δtω012u2m,n+1+u2m,n,
u2m,n+1=u2m,n-Δtω012u1m,n+1+u1m,n+Δt12Exm,n+1+Exm,nC+n+1212u3m,n+1+u3m,n+Dn+12,
u3m,n+1=u3m,n-ΔtC-n+12×12Exm,n+1+Exm,n×12u2m,n+1+u2m,n.
An=NγϵT2exp-nΔtT2, Bn=Nγω0ϵexp-nΔtT2, C±n=2γexpnΔt1T1-1T2,  Dn=2γρ30 expnΔtT2.

Metrics