### Abstract

The modal expansion of a class of stochastic spherical scalar sources is studied. At the surface of these sources the cross-spectral density is assumed to be homogeneous, in the sense that the power spectrum is position-independent and the spectral degree of coherence depends on the angular distance between points only. It is shown that for any such source the modes are given by the spherical harmonics and the associated eigenvalues can be evaluated by solving simple integrals. Three examples of the spectral degree of coherence for this type of sources are given for which the eigenvalues can be found in closed form.

Original language | English (US) |
---|---|

Pages (from-to) | 3859-3861 |

Number of pages | 3 |

Journal | Optics Communications |

Volume | 282 |

Issue number | 19 |

DOIs | |

State | Published - Oct 1 2009 |

### Fingerprint

### ASJC Scopus subject areas

- Electronic, Optical and Magnetic Materials
- Electrical and Electronic Engineering
- Atomic and Molecular Physics, and Optics
- Physical and Theoretical Chemistry

### Cite this

*Optics Communications*,

*282*(19), 3859-3861. https://doi.org/10.1016/j.optcom.2009.06.057

**Modal expansion for spherical homogeneous sources.** / Gori, Franco; Korotkova, Olga.

Research output: Contribution to journal › Article

*Optics Communications*, vol. 282, no. 19, pp. 3859-3861. https://doi.org/10.1016/j.optcom.2009.06.057

}

TY - JOUR

T1 - Modal expansion for spherical homogeneous sources

AU - Gori, Franco

AU - Korotkova, Olga

PY - 2009/10/1

Y1 - 2009/10/1

N2 - The modal expansion of a class of stochastic spherical scalar sources is studied. At the surface of these sources the cross-spectral density is assumed to be homogeneous, in the sense that the power spectrum is position-independent and the spectral degree of coherence depends on the angular distance between points only. It is shown that for any such source the modes are given by the spherical harmonics and the associated eigenvalues can be evaluated by solving simple integrals. Three examples of the spectral degree of coherence for this type of sources are given for which the eigenvalues can be found in closed form.

AB - The modal expansion of a class of stochastic spherical scalar sources is studied. At the surface of these sources the cross-spectral density is assumed to be homogeneous, in the sense that the power spectrum is position-independent and the spectral degree of coherence depends on the angular distance between points only. It is shown that for any such source the modes are given by the spherical harmonics and the associated eigenvalues can be evaluated by solving simple integrals. Three examples of the spectral degree of coherence for this type of sources are given for which the eigenvalues can be found in closed form.

UR - http://www.scopus.com/inward/record.url?scp=68749085050&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=68749085050&partnerID=8YFLogxK

U2 - 10.1016/j.optcom.2009.06.057

DO - 10.1016/j.optcom.2009.06.057

M3 - Article

AN - SCOPUS:68749085050

VL - 282

SP - 3859

EP - 3861

JO - Optics Communications

JF - Optics Communications

SN - 0030-4018

IS - 19

ER -