Skip to main content
banner image
No data available.
Please log in to see this content.
You have no subscription access to this content.
No metrics data to plot.
The attempt to load metrics for this article has failed.
The attempt to plot a graph for these metrics has failed.
The full text of this article is not currently available.
1.T.F. Boggess, K.M. Bohnert, K. Mansour, S.C. Moss, I.W. Boyd, and A.L. Smirl, “Simultaneous measurement of the two-photon coefficient and free-carrier cross section above the bandgap of crystalline silicon,” Quantum Electron. 22, 360 (1986).
2.L.W. Tutt and T.F. Boggess, “A review of optical limiting mechanisms and devices using organics, fullerenes, semiconductors and other materials,” Prog Quant Electr 17, 299 (1993).
3.M. Sheik-Bahae, A. A. Said, and E. W. Van Stryland, “High sensitivity single beam n2 measurement,” Opt. Lett. 14, 955957 (1989).
4.M. Sheik-Bahae, A. A. Said, T. H. Wei, D. J. Hagan, and E. W. Van Stryland, “Sensitive measurement of optical nonlinearities using a single beam,” IEEE LEOS NEWSLETTER 1726 (2007).
5.Mihaela Balu, Joel Hales, David Hagan, and Eric Van Stryland, “Dispersion of nonlinear refraction and two-photon absorption using a white-light continuum Z-scan,” Optics Express 13(10), 35943599 (2005).
6.Zhi-Bo Liu, Xiao-Qing Yan, Jian-Guo Tian, Wen-Yuan Zhou, and Wei-Ping Zang, “Nonlinear ellipse rotation modified Z-scan measurements of third-order nonlinear susceptibility tensor,” Optics Express 15(20), 1335113359 (2007).
7.Mihaela Balu, Lazaro A. Padilha, David J. Hagan, Eric W. Van Stryland, Sheng Yao, Kevin Belfield, Shijun Zheng, Stephen Barlow, and Seth Marder, “Broadband Z-scan characterization using a high-spectral-irradiance, high-quality supercontinuum,” JOSA B 25(2), 159165 (2008).
8.Yongxin Liu, Jixiong Pu, and Hongqun Qi, “Z-scan experiment with anisotropic Gaussian Schell-model beams,” JOSA A 26(9), 19891994 (2009).
9.Yong Zhang, Shuyun Wang, Qing Yu, Dayun Wang, Ming Liu, and Peide Zhao, “Approach dealing with the temporal profile of a probe laser pulse in the open-aperture Z-scan,” Applied Optics 52(5), 10761085 (2013).
10.N. Bloembergen, Nonlinear Optics (Benjamin, NY, 1965).
11.Shixiong Qian and Rongyi Zhu, Nonlinear Optics (Fudan University Press, 2005).
12.M Goto, R Sakamoto, and S Morita, “Experimental verification of complete LTE plasma formation in hydrogen pellet cloud,” Plasma Phys. Control. Fusion 49, 11631176 (2007).
13.D. Tong, S.M. Farooqi, J. Stanojevic, S. Krishnan, Y. P. Zhang, R. Coˆte’, E. E. Eyler, and P. L. Gould, “Local Blockade of Rydberg Excitation in an Ultracold Gas,” Phys. Rev. lett 93(6), 063001–42004.
14.Kasper Kristensen, Joanna Kauczor, Andreas J. Thorvaldsen, Poul Jorgensen, Thomas Kjærgaard, and Antonio Rizzo, “Damped response theory description of two-photon absorption,” J. Chem. Phys. 134, 214104 (2011).
15.P. Norman, D. M. Bishop, H. J. A. Jensen, and J. Oddershede, “Nonlinear response theory with relaxation: The first-order hyperpolarizability,” J. Chem. Phys. 123, 194103 (2005).

Data & Media loading...


Article metrics loading...



A quantized impedance is proposed to theoretically establish the relationship between the atomic eigenfrequency and the intrinsic frequency of the one-dimensional oscillator in this paper. The classical oscillator is modified by the idea that the electron transition is treated as a charge-discharge process of a suggested capacitor with the capacitive energy equal to the energy level difference of the jumping electron. The quantized capacitance of the impedance interacting with the jumping electron can lead the resonant frequency of the oscillator to the same as the atomic eigenfrequency. The quantized resistance reflects that the damping coefficient of the oscillator is the mean collision frequency of the transition electron. In addition, the first and third order electric susceptibilities based on the oscillator are accordingly quantized. Our simulation of the hydrogen atom emission spectrum based on the proposed method agrees well with the experimental one. Our results exhibits that the one-dimensional oscillator with the quantized impedance may become useful in the estimations of the refractive index and one- or multi-photon absorption coefficients of some nonmagnetic media composed of hydrogen-like atoms.


Full text loading...


Access Key

  • FFree Content
  • OAOpen Access Content
  • SSubscribed Content
  • TFree Trial Content
752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd