## Spectral shifts and spectral switches produced by the scattering system of two anisotropic particles in different distance |

Optics Express, Vol. 21, Issue 19, pp. 22610-22616 (2013)

http://dx.doi.org/10.1364/OE.21.022610

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### Abstract

We investigate the scattering of polychromatic plane light wave incident upon a system formed with two anisotropic particles in different distance. The analytical expression for the spectrum of the scattered field is derived. Numerical examples show the phenomena of spectral shifts and spectral switches of the scattered field. The influences of the scattering direction and the difference of the particles on the spectral switch are illustrated.

© 2013 OSA

## 1. Introduction

1. E. Wolf, “Invariance of the spectrum of light on propagation,” Phys. Rev. Lett. **56**(13), 1370–1372 (1986). [CrossRef] [PubMed]

2. E. Wolf, “Red shifts and blue shifts of spectral lines emitted by two correlated sources,” Phys. Rev. Lett. **58**(25), 2646–2648 (1987). [CrossRef] [PubMed]

3. E. Wolf, J. T. Foley, and F. Gori, “Frequency shifts of spectral lines produced by scattering from spatially random media,” J. Opt. Soc. Am. A **6**(8), 1142–1149 (1989). [CrossRef]

4. G. Gbur, T. D. Visser, and E. Wolf, “Anomalous behavior of spectra near phase singularities of focused waves,” Phys. Rev. Lett. **88**(1), 013901 (2001). [CrossRef] [PubMed]

5. J. Pu, H. Zhang, and S. Nemoto, “Spectral shifts and spectral switches of partially coherent light passing through an aperture,” Opt. Commun. **162**(1-3), 57–63 (1999). [CrossRef]

6. L. Pan, C. Ding, and X. Yuan, “Spectral shifts and spectral switches of twisted Gaussian Schell-model beams passing through an aperture,” Opt. Commun. **274**(1), 100–104 (2007). [CrossRef]

7. X. Ji, E. Zhang, and B. Lü, “Changes in the spectrum of Gaussian Schell-model beams propagating through turbulent atmosphere,” Opt. Commun. **259**(1), 1–6 (2006). [CrossRef]

8. Z. Tong and O. Korotkova, “Spectral shifts and switches in random fields upon interaction with negative-phase materials,” Phys. Rev. A **82**(1), 013829 (2010). [CrossRef]

5. J. Pu, H. Zhang, and S. Nemoto, “Spectral shifts and spectral switches of partially coherent light passing through an aperture,” Opt. Commun. **162**(1-3), 57–63 (1999). [CrossRef]

8. Z. Tong and O. Korotkova, “Spectral shifts and switches in random fields upon interaction with negative-phase materials,” Phys. Rev. A **82**(1), 013829 (2010). [CrossRef]

3. E. Wolf, J. T. Foley, and F. Gori, “Frequency shifts of spectral lines produced by scattering from spatially random media,” J. Opt. Soc. Am. A **6**(8), 1142–1149 (1989). [CrossRef]

9. D. G. Fischer and E. Wolf, “Inverse problems with quasi-homogeneous random media,” J. Opt. Soc. Am. A **11**(3), 1128–1135 (1994). [CrossRef]

12. T. Wang and D. Zhao, “Effects of source correlation on the spectral shift of light waves on scattering,” Opt. Lett. **38**(9), 1545–1547 (2013). [CrossRef] [PubMed]

13. X. Du and D. Zhao, “Spectral shifts produced by scattering from rotational quasi-homogeneous anisotropic media,” Opt. Lett. **36**(24), 4749–4751 (2011). [CrossRef] [PubMed]

14. X. Du and D. Zhao, “Frequency shifts of spectral lines induced by scattering from a rotational anisotropic particle,” Opt. Commun. **285**(6), 934–936 (2012). [CrossRef]

## 2. Theoretical analysis

## 3. Numerical examples

*z*direction, which means

*y*direction, which indicates

## 4. Conclusions

## Acknowledgments

## References and links

1. | E. Wolf, “Invariance of the spectrum of light on propagation,” Phys. Rev. Lett. |

2. | E. Wolf, “Red shifts and blue shifts of spectral lines emitted by two correlated sources,” Phys. Rev. Lett. |

3. | E. Wolf, J. T. Foley, and F. Gori, “Frequency shifts of spectral lines produced by scattering from spatially random media,” J. Opt. Soc. Am. A |

4. | G. Gbur, T. D. Visser, and E. Wolf, “Anomalous behavior of spectra near phase singularities of focused waves,” Phys. Rev. Lett. |

5. | J. Pu, H. Zhang, and S. Nemoto, “Spectral shifts and spectral switches of partially coherent light passing through an aperture,” Opt. Commun. |

6. | L. Pan, C. Ding, and X. Yuan, “Spectral shifts and spectral switches of twisted Gaussian Schell-model beams passing through an aperture,” Opt. Commun. |

7. | X. Ji, E. Zhang, and B. Lü, “Changes in the spectrum of Gaussian Schell-model beams propagating through turbulent atmosphere,” Opt. Commun. |

8. | Z. Tong and O. Korotkova, “Spectral shifts and switches in random fields upon interaction with negative-phase materials,” Phys. Rev. A |

9. | D. G. Fischer and E. Wolf, “Inverse problems with quasi-homogeneous random media,” J. Opt. Soc. Am. A |

10. | A. Dogariu and E. Wolf, “Spectral changes produced by static scattering on a system of particles,” Opt. Lett. |

11. | M. Lahiri and E. Wolf, “Spectral changes of stochastic beams scattered on a deterministic medium,” Opt. Lett. |

12. | T. Wang and D. Zhao, “Effects of source correlation on the spectral shift of light waves on scattering,” Opt. Lett. |

13. | X. Du and D. Zhao, “Spectral shifts produced by scattering from rotational quasi-homogeneous anisotropic media,” Opt. Lett. |

14. | X. Du and D. Zhao, “Frequency shifts of spectral lines induced by scattering from a rotational anisotropic particle,” Opt. Commun. |

15. | E. Wolf, |

**OCIS Codes**

(030.1670) Coherence and statistical optics : Coherent optical effects

(290.5850) Scattering : Scattering, particles

**ToC Category:**

Coherence and Statistical Optics

**History**

Original Manuscript: July 22, 2013

Revised Manuscript: September 10, 2013

Manuscript Accepted: September 10, 2013

Published: September 18, 2013

**Citation**

Xinyue Du, "Spectral shifts and spectral switches produced by the scattering system of two anisotropic particles in different distance," Opt. Express **21**, 22610-22616 (2013)

http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-21-19-22610

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### References

- E. Wolf, “Invariance of the spectrum of light on propagation,” Phys. Rev. Lett.56(13), 1370–1372 (1986). [CrossRef] [PubMed]
- E. Wolf, “Red shifts and blue shifts of spectral lines emitted by two correlated sources,” Phys. Rev. Lett.58(25), 2646–2648 (1987). [CrossRef] [PubMed]
- E. Wolf, J. T. Foley, and F. Gori, “Frequency shifts of spectral lines produced by scattering from spatially random media,” J. Opt. Soc. Am. A6(8), 1142–1149 (1989). [CrossRef]
- G. Gbur, T. D. Visser, and E. Wolf, “Anomalous behavior of spectra near phase singularities of focused waves,” Phys. Rev. Lett.88(1), 013901 (2001). [CrossRef] [PubMed]
- J. Pu, H. Zhang, and S. Nemoto, “Spectral shifts and spectral switches of partially coherent light passing through an aperture,” Opt. Commun.162(1-3), 57–63 (1999). [CrossRef]
- L. Pan, C. Ding, and X. Yuan, “Spectral shifts and spectral switches of twisted Gaussian Schell-model beams passing through an aperture,” Opt. Commun.274(1), 100–104 (2007). [CrossRef]
- X. Ji, E. Zhang, and B. Lü, “Changes in the spectrum of Gaussian Schell-model beams propagating through turbulent atmosphere,” Opt. Commun.259(1), 1–6 (2006). [CrossRef]
- Z. Tong and O. Korotkova, “Spectral shifts and switches in random fields upon interaction with negative-phase materials,” Phys. Rev. A82(1), 013829 (2010). [CrossRef]
- D. G. Fischer and E. Wolf, “Inverse problems with quasi-homogeneous random media,” J. Opt. Soc. Am. A11(3), 1128–1135 (1994). [CrossRef]
- A. Dogariu and E. Wolf, “Spectral changes produced by static scattering on a system of particles,” Opt. Lett.23(17), 1340–1342 (1998). [CrossRef] [PubMed]
- M. Lahiri and E. Wolf, “Spectral changes of stochastic beams scattered on a deterministic medium,” Opt. Lett.37(13), 2517–2519 (2012). [CrossRef] [PubMed]
- T. Wang and D. Zhao, “Effects of source correlation on the spectral shift of light waves on scattering,” Opt. Lett.38(9), 1545–1547 (2013). [CrossRef] [PubMed]
- X. Du and D. Zhao, “Spectral shifts produced by scattering from rotational quasi-homogeneous anisotropic media,” Opt. Lett.36(24), 4749–4751 (2011). [CrossRef] [PubMed]
- X. Du and D. Zhao, “Frequency shifts of spectral lines induced by scattering from a rotational anisotropic particle,” Opt. Commun.285(6), 934–936 (2012). [CrossRef]
- E. Wolf, Introduction to the Theory of Coherence and Polarization of Light (Cambridge University, 2007).

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