Beam condition for scattering on random media

Journal of the Optical Society of America A: Optics and Image Science, and Vision

Volumn 26, Issue 9, 2009, Pages 2043-2048

  Lahiri, Mayukh ^a   Wolf, Emil ^a,b  

^a UNIVERSITY OF ROCHESTER   (United States)

^b UNIVERSITY OF ROCHESTER   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ELECTROMAGNETIC FIELDS;

BEAM CONDITIONS; RANDOM MEDIA; STOCHASTIC ELECTROMAGNETIC FIELDS; SUFFICIENT CONDITIONS;

ELECTROMAGNETIC FIELD MEASUREMENT;

EID: 70249118155     PISSN: 10847529     EISSN: 15208532     Source Type: Journal    
DOI: 10.1364/JOSAA.26.002043     Document Type: Article

References (13)

1. M. Born and E. Wolf, Principles of Optics, 7th ed. (Cambridge Univ. Press, 1999).
2. E. Wolf, J. T. Foley, and F. Gori, "Scattering of light from quasi-homogeneous sources by quasi-homogeneous media," J. Opt. Soc. Am. A 6, 1142-1149 (1989).
3. D. G. Fischer and E. Wolf, "Theory of diffraction tomography for quasi-homogeneous random objects," Opt. Commun. 133, 17-21 (1997).
4. D. Zhao, O. Korotkova, and E. Wolf, "Application of correlation-induced spectral changes to inverse scattering," Opt. Lett. 32, 3483-3485 (2007).
5. A. Dogariu and E. Wolf, "Spectral changes produced by static scattering on a system of particles," Opt. Lett. 23, 1340-1342 (1998).
6. A. Dogariu and E. Wolf, "Spectral changes produced by scattering of polychromatic light on random distribution of particles," in Trends in Optics and Photonics Vol. 22, Biomedical Optical Spectroscopy and Diagnostic Therapeutic Laser Applications, E. M. Sevick-Muraca, J. A. Izatt, and M. N. Ediger, eds. (Optical Society of America, 1998), pp. 26-29.
7. M. Lahiri, E. Wolf, D. G. Fischer, and T. Shirai, "Determination of correlation functions of scattering potentials of stochastic media from scattering experiments," Phys. Rev. Lett. 102, 123901-1-123901-123904 (2009).
8. E. Wolf, Introduction to the Theory of Coherence and Polarization of Light (Cambridge Univ. Press, 2007).
9. W. H. Carter and E. Wolf, "Scattering from quasi- homogeneous media," Opt. Commun. 67, 85-90 (1988).
10. C. Goffman, Calculus of Several Variables (Harper and Row, 1965).
11. This Hessian matrix is obtained by imposing the condition r=r0 (constant) in the general formula of 3×3 Hessian matrix in spherical polar coordinates. The general formula of 3 × 3 Hessian matrix in spherical polar coordinates can be found, for example, in [13], Eq. 13).
12. This assumption is consistent with the earlier one that the scattering may be analyzed within the accuracy of the first Born approximation. However, this assumption also applies to uniform weakly absorbing media.
13. M. Masi, "On compressive radial tidal forces," Am. J. Phys. 75, 116-124 (2007).