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Optics Letters

Optics Letters


  • Vol. 27, Iss. 18 — Sep. 15, 2002
  • pp: 1634–1636

Ultrafast measurement of two-photon absorption by loss modulation

Peifang Tian and Warren S. Warren  »View Author Affiliations

Optics Letters, Vol. 27, Issue 18, pp. 1634-1636 (2002)

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We demonstrate a direct and sensitive technique for measuring two-photon absorption (TPA). An intensity-modulated femtosecond laser beam passes through a sample exhibiting TPA. A TPA signal at twice the modulation frequency is then generated and subsequently measured by a lock-in amplifier. The absolute TPA cross section of Rhodamine 6G at 800nm is found to be (15.3±2.0)×10-50 cm4 s/photon and agrees well with previously published results obtained with much higher intensity [J.Chem.Phys.112, 9201 (2000)]. Our method may be especially useful in measuring nonlinear absorptions of nonfluorescent materials.

© 2002 Optical Society of America

OCIS Codes
(120.5060) Instrumentation, measurement, and metrology : Phase modulation
(190.4180) Nonlinear optics : Multiphoton processes

Peifang Tian and Warren S. Warren, "Ultrafast measurement of two-photon absorption by loss modulation," Opt. Lett. 27, 1634-1636 (2002)

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  1. Y. R. Shen, The Principles of Nonlinear Optics (Wiley, New York, 1984).
  2. W. Denk, J. H. Strickler, and W. W. Webb, Science 248, 73 (1990).
  3. P. T. C. So, C. Y. Dong, B. R. Masters, and K. M. Berland, Annu. Rev. Biomed. Eng. 2, 399 (2000).
  4. B. H. Cumpston, S. P. Ananthavel, S. Barlow, D. L. Dyer, J. E. Ehrlich, L. L. Erskine, A. A. Heikal, S. M. Kuebler, I.-Y. S. Lee, D. McCord-Maughon, J. Qin, H. Rockel, M. Rumi, X-L Wu, S. R. Marker, and J. W. Perry, Nature 398, 51 (1999).
  5. S. Kawata, H-B. Sun, T. Tanaka, and K. Takada, Nature 412, 697 (2001).
  6. D. A. Parthenopoulos and P. M. Rentzepis, Science 245, 843 (1989).
  7. C.-K. Sun, J.-C. Liang, J.-C. Wang, F.-J. Kao, S. Keller, M. P. Mack, U. Mishra, and S. P. DenBaars, Appl. Phys. Lett. 76, 439 (2000).
  8. C. Xu and W. W. Webb, J. Opt. Soc. Am. B 13, 481 (1996).
  9. M. Sheik-Bahae, A. A. Said, T. Wei, D. J. Hagan, and E. W. Van Stryland, IEEE J. Quantum Electron. 26, 760 (1990).
  10. B. E. A. Saleh and M. C. Teich, Fundamentals of Photonics (Wiley, New York, 1991).
  11. The total TPA signal, PTPA, also contains components at dc and frequency f. If the magnitude of PTPA is much smaller than that of the incident beam, PI, the components of PTPA at dc and f are negligible compared with those of PI at the same frequencies. Hence, PT=PI-P2Fcos (2p2ft).
  12. W. Demtroder, Laser Spectroscopy (Springer, Berlin, 1996).
  13. Equation 1 becomes P2F=(0.33Cdnp/tl f0)P21F when L> >Z0, indicating that the TPA signal is independent of the spot size.
  14. Both the experimental error (0.8 GM) and the uncertainty of the pulse temporal shape (15.3×12%=1.8 GM) contribute to the total error: 0.82+1.82=2.0 GM.
  15. P. Sengupta, J. Balaji, S. Banerjee, R. Philip, G. R. Kumar, and S. Maiti, J. Chem. Phys. 112, 9201 (2000).
  16. M. A. Albota, C. Xu, and W. W. Webb, Appl. Opt. 37, 7352 (1998).
  17. When a laser beam is incident on the AOM driven by two RF frequencies, f1 and f2, the diffracted beam PI is amplitude modulated at f=f1-f2. A component P2F at 2f is inevitably generated by the third-order intermodulation process; i.e., PI=PAVG+P1F cos(2pft)+P2F cos(2p2ft). The ratio P2F/P1F is ~h/6, where h is the AOM diffraction efficiency D. Hecht, IEEE Trans. Sonics Ultrason. SU-24, 7 (1977). P2F/P1F is ~4×10-2 for h~25% in our setup.
  18. S. V. Frolov and Z. V. Vardeny, Rev. Sci. Instrum. 69, 1257 (1998).
  19. I. Kang, T. Krauss, and F. Wise, Opt. Lett. 22, 1077 (1997).

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