OSA's Digital Library

Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Editor: Franco Gori
  • Vol. 31, Iss. 4 — Apr. 1, 2014
  • pp: 745–754

Optical reflectivity of a disordered monolayer of highly scattering particles: coherent scattering model versus experiment

Omar Vázquez-Estrada and Augusto García-Valenzuela  »View Author Affiliations


JOSA A, Vol. 31, Issue 4, pp. 745-754 (2014)
http://dx.doi.org/10.1364/JOSAA.31.000745


View Full Text Article

Enhanced HTML    Acrobat PDF (1036 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

Recently a multiple-scattering model for the reflectivity of a disordered monolayer of scattering particles on a flat surface was put forth [J. Opt. Soc. Am. 29, 1161 (2012)]. The approximate theoretical model provides relatively simple formulas for the reflectivity, but it was developed for a monodisperse monolayer. Here we extend the model to the case of a polydisperse monolayer and derive the appropriate formulas to calculate the optical transmissivity of the monolayer supported by a flat interface. A second objective of this paper is to test the approximate theoretical model against experimental data with highly scattering particles. We prepared monolayers of three different surface coverage fractions of polydisperse alumina and titanium dioxide particles deposited randomly on a glass slide. We measured their optical reflectivity and transmissivity versus the angle of incidence using a laser with a wavelength of 670 nm. Using the nominal values for the particles’ most probable radius and refractive index, we fitted the theoretical model to the experimental curves and found that it reproduces very well the experimental curves. Interestingly, a dip in the reflectivity curves at large angles of incidence is present for the alumina monolayers but not in the titanium dioxide monolayers. The dip corresponds to a maximum in the scattering efficiency by the alumina monolayers. The theoretical model reproduces very well this behavior.

© 2014 Optical Society of America

OCIS Codes
(120.5700) Instrumentation, measurement, and metrology : Reflection
(120.7000) Instrumentation, measurement, and metrology : Transmission
(240.0240) Optics at surfaces : Optics at surfaces
(290.4210) Scattering : Multiple scattering
(290.5850) Scattering : Scattering, particles
(290.5825) Scattering : Scattering theory

ToC Category:
Scattering

History
Original Manuscript: December 19, 2013
Manuscript Accepted: January 23, 2014
Published: March 17, 2014

Virtual Issues
Vol. 9, Iss. 6 Virtual Journal for Biomedical Optics

Citation
Omar Vázquez-Estrada and Augusto García-Valenzuela, "Optical reflectivity of a disordered monolayer of highly scattering particles: coherent scattering model versus experiment," J. Opt. Soc. Am. A 31, 745-754 (2014)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-31-4-745


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. A. García-Valenzuela, E. Gutiérrez-Reyes, and R. 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). [CrossRef]
  2. T. Yamaguchi, H. Takahashi, and A. Sudoh, “Optical behavior of a metal island film,” J. Opt. Soc. Am. 68, 1039–1044 (1978). [CrossRef]
  3. T. Okamoto, I. Yamaguchi, and T. Kobayashi, “Local plasmon sensor gold colloid monolayers deposited upon glass substrates,” Opt. Lett. 25, 372–374 (2000). [CrossRef]
  4. D.-S. Wang and C.-W. Lin, “Density-dependent optical response of gold nanoparticle monolayers on silicon substrates,” Opt. Lett. 32, 2128–2130 (2007). [CrossRef]
  5. A. Bagchi, R. G. Barrera, and A. K. Rajagopal, “Perturbative approach to the calculation of the electric field near a metal surface,” Phys. Rev. B 20, 4824–4838 (1979). [CrossRef]
  6. V. V. Truong, G. Bosi, and T. Yamaguchi, “Optical behavior of granular metal films: single-image versus multiple-image approaches in the treatment of substrate effects,” J. Opt. Soc. Am. A 5, 1379–1381 (1988). [CrossRef]
  7. J. Toudert, D. Babonneau, L. Simonot, S. Camelio, and T. Girardeau, “Quantitative modelling of the surface plasmon resonances of metal nanoclusters sandwiched between dielectric layers, the influence of nanoclusters size, shape and organization,” Nanotechnology 19, 125709 (2008). [CrossRef]
  8. M. L. Protopapa, A. Rizzo, M. Re, and L. Pilloni, “Layered silver nanoparticles embedded in a BaF2 matrix: optical characterization,” Appl. Opt. 48, 6662–6669 (2009). [CrossRef]
  9. M. L. Protopapa, “Surface plasmon resonance of metal nanoparticles sandwiched between dielectric layers: theoretical modeling,” Appl. Opt. 48, 778–785 (2009). [CrossRef]
  10. T. Menegotto, M. B. Pereira, R. R. B. Correia, and F. Horowitz, “Simple modeling of plasmon resonances in Ag/(SiO2) nanocomposite monolayers,” Appl. Opt. 50, C27–C30 (2011). [CrossRef]
  11. S. Yoshida, T. Yamaguchi, and A. Kinbara, “Changes of the optical properties of aggregated silver films after deposition,” J. Opt. Soc. Am. 61, 463–469 (1971). [CrossRef]
  12. R. G. Barrera and A. García-Valenzuela, “Coherent reflectance in a system of random Mie scatterers and its relation to the effective medium approach,” J. Opt. Soc. Am. A 20, 296–311 (2003). [CrossRef]
  13. R. G. Barrera, A. Reyes-Coronado, and A. García-Valenzuela, “Nonlocal nature of the electrodynamic response of colloidal systems,” Phys. Rev. B 75, 184202 (2007). [CrossRef]
  14. E. A. van der Zeeuw, L. M. Sagis, G. J. M. Koper, E. K. Mann, M. T. Haarmans, and D. Bedeaux, “The suitability of angle scanning reflectometry for colloidal particle sizing,” J. Chem. Phys. 105, 1646–1653 (1996). [CrossRef]
  15. M. C. Peña-Gomar, M. L. González-González, A. García-Valenzuela, J. Anto-Roca, and E. Perez, “Monitoring particle adsorption by use of laser reflectometry near the critical angle,” Appl. Opt. 43, 5963–5970 (2004). [CrossRef]
  16. M. C. Peña-Gomar, J. J. F. Castillo, A. García-Valenzuela, R. G. Barrera, and E. Pérez, “Coherent optical reflectance from a monolayer of large particles adsorbed on a glass surface,” Appl. Opt. 45, 626–632 (2006). [CrossRef]
  17. V. P. Dick, V. A. Loiko, and A. P. Ivanov, “Angular structure of radiation scattered by monolayers of particles: experimental study,” Appl. Opt. 36, 4235–4240 (1997). [CrossRef]
  18. M. I. Mishchenko, “Multiple scattering by particles embedded in an absorbing medium. 1. Foldy-Lax equations, order-of-scattering expansion, and coherent field,” Opt. Express 16, 2288–2301 (2008). [CrossRef]
  19. L. Tsang and J. A. Kong, Scattering of Electromagnetic Waves; Advanced Topics (Wiley, 2001).
  20. J. J. H. Wang, “A unified and consistent view on the singularities of the electric dyadic Green’s function in the source region,” IEEE Trans. Antennas Propag. 30, 463–468 (1982). [CrossRef]
  21. C. F. Bohren and D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley-Interscience, 1983).
  22. H. C. van de Hulst, Light Scattering by Small Particles, 1st ed. (Dover, 1981).

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.


« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited