Using a multiple-scattering formalism, we derive closed-form expressions for the coherent reflection and transmission coefficients of monochromatic electromagnetic plane waves incident upon a two-dimensional array of randomly located spherical particles. The calculation is performed within the quasi-crystalline approximation, and the statistical correlation among the particles is assumed to be given simply by a correlation hole. In the resulting model, the size of the spheres and the angle of incidence are both unrestricted. The final formulas are relatively simple, making the model suitable for a straightforward interpretation of optical-sensing measurements.
© 2012 Optical Society of America
Original Manuscript: September 15, 2011
Revised Manuscript: January 20, 2012
Manuscript Accepted: January 20, 2012
Published: June 1, 2012
Vol. 7, Iss. 8 Virtual Journal for Biomedical Optics
Augusto García-Valenzuela, Edahí Gutiérrez-Reyes, and Rubén G. Barrera, "Multiple-scattering model for the coherent reflection and transmission of light from a disordered monolayer of particles," J. Opt. Soc. Am. A 29, 1161-1179 (2012)