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The intensity properties of a Multi-Gaussian Schell-model pulse scattering from a sphere with semisoft boundaries

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Abstract

The scattering of a Multi-Gaussian Schell-model pulse from a sphere with semisoft boundaries within the accuracy of the first-order Born approximation is investigated. The analytic expression for the average intensity of the scattered pulse in the far zone is derived. The numerical calculations are performed in order to show the dependence of the average intensity of the scattered field on the incident pulse duration, the temporal coherence length of the incident pulse, the upper summation index and the effective radius of the medium. The effect of the boundary’s softness on the scattered intensity distribution is emphasized. It is shown that, comparing with that of scattering from a Gaussian sphere, the average intensity distribution of the pulse scattering from a sphere with semisoft boundaries has two or three peaks under certain circumstances.

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References

  • Agrawal, G.P.: Nonlinear Fiber Optics. Academic Press, San Diego (2007)

    MATH  Google Scholar 

  • Aulbach, J., Gjonaj, B., Johnson, P.M., Mosk, A.P., Lagendijk, A.: Control of light transmission through opaque scattering media in space and time. Phys. Rev. Lett. 106, 103901 (2011)

    Article  Google Scholar 

  • Born, M., Wolf, E.: Principles of Optics. Cambridge University Press, Cambridge (1999)

    Book  Google Scholar 

  • Bückers, J., Maxein, D., Haertle, D., Buse, K.: Light-induced scattering of femtosecond laser pulses in iron-doped lithium niobate crystals. J. Opt. Soc. Am. B 26, 1018–1022 (2009)

    Article  ADS  Google Scholar 

  • Ding, C., Cai, Y., Korotkova, O., Zhang, Y., Pan, L.: Scattering-induced changes in the temporal coherence length and the pulse duration of a partially coherent plane-wave pulse. Opt. Lett. 36, 517–519 (2011)

    Article  ADS  Google Scholar 

  • Ding, C., Cai, Y., Zhang, Y., Pan, L.: Scattering of a partially coherent plane-wave pulse on a deterministic sphere. Phys. Lett. A 376, 2697–2702 (2012)

    Article  ADS  MATH  Google Scholar 

  • Ding, C., Korotkova, O., Pan, L.: The control of pulse profiles with tunable temporal coherence. Phys. Lett. A 378, 1687–1690 (2014)

    Article  MATH  Google Scholar 

  • Ding, C., Pan, L., Lü, B.: Characterization of stochastic spatially and spectrally partially coherent electromagnetic pulsed beams. New J. Phys. 11, 083001 (2009)

    Google Scholar 

  • Dogariu, A., Wolf, E.: Spectral changes produced by static scattering on a system of particles. Opt. Lett. 23, 1340–1342 (1998)

    Article  ADS  Google Scholar 

  • Fischer, D.G., Wolf, E.: Inverse problems with quasi-homogeneous random media. J. Opt. Soc. Am. A: 11, 1128–1135 (1994)

    Article  ADS  Google Scholar 

  • Foley, J.T., Wolf, E.: Frequency shifts of spectral lines generated by scattering from space–time fluctuations. Phys. Rev. A 40, 588–598 (1989)

    Article  ADS  Google Scholar 

  • Huang, W., Ponomarenko, S.A., Cada, M., Agrawal, G.P.: Polarization changes of partially coherent pulses propagating in optical fibers. J. Opt. Soc. Am. A: 24, 3063–3068 (2007)

    Article  ADS  Google Scholar 

  • Lahiri, M., Wolf, E., Fischer, D.G., Shirai, T.: Determination of correlation functions of scattering potentials of stochastic media from scattering experiments. Phys. Rev. Lett. 102, 123901 (2009)

    Article  Google Scholar 

  • Lajunen, H., Tervo, J., Turunen, J., Vahimaa, P., Wyrowski, F.: Spectral coherence properties of temporally modulated stationary light sources. Opt. Express 11, 1894–1899 (2003)

    Article  ADS  Google Scholar 

  • Lajunen, H., Vahimaa, P., Tervo, J.: Theory of spatially and spectrally partially coherent pulses. J. Opt. Soc. Am. A 22, 1536–1545 (2005)

    Article  ADS  MathSciNet  Google Scholar 

  • Lancis, J., Torres-Company, V., Silvestre, E., Andres, P.: Space–time analogy for partially coherent plane-wave-type pulses. Opt. Lett. 30, 2973–2975 (2005)

    Article  ADS  Google Scholar 

  • Lin, Q., Wang, L., Zhu, S.: Partially coherent light pulse and its propagation. Opt. Commun. 219, 65–70 (2003)

    Article  ADS  Google Scholar 

  • Pääkkönen, P., Turunen, J., Vahimaa, P., Friberg, A.T., Wyrowski, F.: Partially coherent Gaussian pulses. Opt. Commun. 204, 53–58 (2002)

    Article  ADS  Google Scholar 

  • Sahin, S., Gbur, G., Korotkova, O.: Scattering of light from particles with semisoft boundaries. Opt. Lett. 36, 3957–3959 (2011)

    Article  ADS  Google Scholar 

  • Sahin, S., Korotkova, O.: Scattering of scalar light fields from collections of particles. Phys. Rev. A 78, 063815 (2008)

    Article  Google Scholar 

  • Torres-Company, V., Mínguez-Vega, G., Lancis, J., Friberg, A.T.: Controllable generation of partially coherent light pulses with direct space-to-time pulse shaper. Opt. Lett. 32, 1608–1610 (2007)

    Article  ADS  Google Scholar 

  • Visser, T.D., Wolf, E.: Potential scattering with field discontinuities at the boundaries. Phys. Rev. E 59, 2355–2360 (1999)

    Article  ADS  Google Scholar 

  • Wang, T., Zhao, D.: Determination of pair-structure factor of scattering potential of a collection of particles. Opt. Lett. 35, 318–320 (2010)

    Article  ADS  Google Scholar 

  • Wolf, E.: Introduction to the Theory of Coherence and Polarization of Light. Cambridge University Press, Cambridge (2007)

    MATH  Google Scholar 

  • Wolf, E., Foley, J.T.: Scattering of electromagnetic fields of any state of coherence from space-time fluctuations. Phys. Rev. A 40, 579–587 (1989)

    Article  ADS  Google Scholar 

  • Wolf, E., Foley, J.T., Gori, F.: Frequency shifts of spectral lines produced by scattering form spatially random media. J. Opt. Soc. Am. A 6, 1142–1149 (1989)

    Article  ADS  Google Scholar 

  • Xin, Y., He, Y., Chen, Y., Li, J.: Correlation between intensity fluctuations of light scattered from a quasi-homogeneous random media. Opt. Lett. 35, 4000–4002 (2010)

    Article  ADS  Google Scholar 

  • Zhao, D., Wang, T.: Direct and inverse problems in the theory of light scattering. Prog. Opt. 57, 261–308 (2012)

    Article  Google Scholar 

Download references

Acknowledgments

This work is supported by the National Natural Science Foundation of China under Grant Nos. 61275150, and 61575091, the Education Department of Henan Province Project 13A140797, and 15A140029, the Program for Science & Technology Innovation Talents in Universities of Henan Province (13HASTIT048).

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Correspondence to LiuZhan Pan.

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Wang, H., Ding, C., Ma, B. et al. The intensity properties of a Multi-Gaussian Schell-model pulse scattering from a sphere with semisoft boundaries. Opt Quant Electron 48, 335 (2016). https://doi.org/10.1007/s11082-016-0592-0

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