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. 28, Iss. 5 — May. 1, 2011
  • pp: 868–878

Finite-difference time-domain and near-field-to-far-field transformation in the spectral domain: application to scattering objects with complex shapes in the vicinity of a semi-infinite dielectric medium

Jérôme Muller, Gilles Parent, Gérard Jeandel, and David Lacroix  »View Author Affiliations


JOSA A, Vol. 28, Issue 5, pp. 868-878 (2011)
http://dx.doi.org/10.1364/JOSAA.28.000868


View Full Text Article

Enhanced HTML    Acrobat PDF (1586 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

We present the study of a spectral-domain near-field-to-far-field (NFTFF) transformation, taking into account an interface in the vicinity of a particle. This technique is associated with a three-dimensional finite-difference time-domain (FDTD) model, which solves the Maxwell equations in the time domain. Moreover, material properties are considered with the use of dispersion models. First, particular attention is paid to the description of the modeling, especially concerning the NFTFF transformation using the dyadic Green tensors. Second, several simulation cases are considered to evaluate the ability of the developed technique to model the scattering by different kinds of “particles/interface” configurations and for various illuminating waves. Then validation test cases are used in order to assess the model accuracy through comparisons with T-matrix simulations. Finally, perspectives to this work and its application to near-field detection devices are discussed.

© 2011 Optical Society of America

OCIS Codes
(290.5850) Scattering : Scattering, particles
(050.1755) Diffraction and gratings : Computational electromagnetic methods

ToC Category:
Diffraction and Gratings

History
Original Manuscript: October 29, 2010
Revised Manuscript: February 7, 2011
Manuscript Accepted: February 22, 2011
Published: April 22, 2011

Citation
Jérôme Muller, Gilles Parent, Gérard Jeandel, and David Lacroix, "Finite-difference time-domain and near-field-to-far-field transformation in the spectral domain: application to scattering objects with complex shapes in the vicinity of a semi-infinite dielectric medium," J. Opt. Soc. Am. A 28, 868-878 (2011)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-28-5-868


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. H. C. Van de Hulst, Light Scattering by Small Particles(Dover, 1957).
  2. M. Kerker, The Scattering of Light and Other Electromagnetic Radiation (Academic, 1969).
  3. C. Bohren and D. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, 1983).
  4. T. Martin and L. Pettersson, “FDTD time domain near- to far-zone transformation above a lossy dielectric half-space,” Appl. Comput. Electromagn. Soc. J. 16, 45-52 (2001).
  5. A. Zayats and D. Richards, Nano-Optics and Near-Field Optical Microscopy (Artech, 2009).
  6. G. Videen, “Light scattering from a sphere on or near a surface,” J. Opt. Soc. Am. A 8, 483-489 (1991). [CrossRef]
  7. G. Videen, “Light scattering from a sphere behind a surface,” J. Opt. Soc. Am. A 10, 110-117 (1993). [CrossRef]
  8. B. Nebeker, J. de la Peña, and E. Hirleman, “Comparisons of the discrete-dipole approximation and modified double interaction model methods to predict light scattering from small features on surfaces,” J. Quant. Spectrosc. Radiat. Transfer 70, 749-759(2001). [CrossRef]
  9. T. Wriedt and A. Doicu, “Light scattering from a particle on or near a surface,” Opt. Commun. 152, 376-384 (1998). [CrossRef]
  10. A. Doicu, Y. A. Eremin, and T. Wriedt, “Convergence of the T-matrix method for light scattering from a particle on or near a surface,” Opt. Commun. 159, 266-277 (1999). [CrossRef]
  11. A. Doicu, T. Wriedt, and Y. A. Eremin, Light Scattering by Systems of Particles Null-Field Method with Discrete Sources: Theory and Programs (Springer, 2006).
  12. C. Hafner, The Generalized Multiple Multipole Technique for Computational Electromagnetics (Artech, 1990).
  13. Y. A. Eremin and A. G. Sveshnikov, “The discrete sources method for investigating three-dimensional electromagnetic scattering problems,” Electromagnetics 13, 1-22 (1993). [CrossRef]
  14. Y. A. Eremin and N. V. Orlov, “Simulation of light scattering from a particle upon a wafer surface,” Appl. Opt. 35, 6599-6604(1996). [CrossRef] [PubMed]
  15. A. Doicu, Y. Eremin, and T. Wriedt, “Convergence of the T-matrix method for light scattering from a particle on or near a surface,” Opt. Commun. 159, 266-277 (1999). [CrossRef]
  16. A. Doicu, Y. Eremin, and T. Wriedt, “Non-axisymmetric models for light scattering from a particle on or near a plane surface,” Opt. Commun. 182, 281-288 (2000). [CrossRef]
  17. A. Doicu, Y. Eremin, and T. Wriedt, “Scattering of evanescent waves by a sensor tip near a plane interface,” Opt. Commun. 190, 5-12 (2001). [CrossRef]
  18. A. Doicu, Y. Eremin, and T. Wriedt, “Scattering of evanescent waves by a particle on or near a plane surface,” Comput. Phys. Commun. 134, 1-10 (2001). [CrossRef]
  19. Y. Eremin, J. Stover, and N. Grishina, “Discrete sources method for light scattering analysis from 3D asymmetrical features on a substrate,” J. Quant. Spectrosc. Radiat. Transfer 70, 421-431(2001). [CrossRef]
  20. Y. Eremin and T. Wriedt, “Large dielectric non-spherical particle in an evanescent wave field near a plane surface,” Opt. Commun. 214, 39-45 (2002). [CrossRef]
  21. Y. Eremin and T. Wriedt, “Discrete sources method model for evanescent waves scattering analysis,” J. Quant. Spectrosc. Radiat. Transfer 89, 53-65 (2004). [CrossRef]
  22. Y. Eremin and N. Grishina, “Modeling of nanoshells spectra in evanescent wave field via discrete sources method,” J. Quant. Spectrosc. Radiat. Transfer 100, 122-130 (2006). [CrossRef]
  23. E. Eremina, Y. Eremin, and T. Wriedt, “Discrete sources method for simulation of resonance spectra of nonspherical nanoparticles on a plane surface,” Opt. Commun. 246, 405-413(2005). [CrossRef]
  24. E. Eremina, Y. Eremin, and T. Wriedt, “Simulations of light scattering spectra of a nanoshell on plane interface based on the discrete sources method,” Opt. Commun. 267, 524-529(2006). [CrossRef]
  25. E. Eremina, Y. Eremin, and T. Wriedt, “Analysis of the light scattering properties of a gold nanorod on a plane surface via discrete sources method,” Opt. Commun. 273, 278-285 (2007). [CrossRef]
  26. A. Doicu and T. Wriedt, “Null-field method with discrete sources to electromagnetic scattering from composite objects,” Opt. Commun. 190, 13-17 (2001). [CrossRef]
  27. N. Riefler, E. Eremina, C. Hertlein, L. Helden, Y. Eremin, T. Wriedt, and C. Bechinger, “Comparison of T-matrix method with discrete sources method applied for total internal reflection microscopy,” J. Quant. Spectrosc. Radiat. Transfer 106, 464-474(2007). [CrossRef]
  28. J. Jung and T. Sondergaard, “Green's function surface integral equation method for theoretical analysis of scatterers close to a metal interface,” Phys. Rev. B 77, 245310 (2008). [CrossRef]
  29. E. Purcell and C. Pennypacker, “Scattering and adsorption of light by nonspherical dielectric grains,” Astrophys. J. 186, 705-714 (1973). [CrossRef]
  30. T. Sondergaard, “Modeling of plasmonic nanostructures: Green's function integral equation methods,” Phys. Status Solidi (b) 244, 3448-3462 (2007). [CrossRef]
  31. A. Penttila, E. Zubko, K. Lumme, K. Muinonen, M. Yurkin, B. Draine, J. Rahola, A. Hoekstra, and Y. Shkuratov, “Comparison between discrete dipole implementations and exact techniques,” J. Quant. Spectrosc. Radiat. Transfer 106, 417-436(2007). [CrossRef]
  32. B. T. Draine and P. Flatau, “The discrete dipole approximation for scattering calculations,” J. Opt. Soc. Am. A 11, 1491-1499(1994). [CrossRef]
  33. P. C. Chaumet, A. Rahmani, F. de Fornel, and J.-P. Dufour, “Evanescent light scattering: the validity of the dipole approximation,” Phys. Rev. B 58, 2310-2315 (1998). [CrossRef]
  34. P. C. Chaumet and M. Nieto-Vesperinas, “Coupled dipole method determination of the electromagnetic force on a particle over a flat dielectric substrate,” Phys. Rev. B 61, 14119-14127 (2000). [CrossRef]
  35. A. Taflove and S. Hagness, Computational Electrodynamics: The Finite-Difference Time-Domain Method, 3rd ed. (Artech, 2005).
  36. A. Doicu and T. Wriedt, “Null-field method with discrete sources to electromagnetic scattering from layered scatterers,” Comput. Phys. Commun. 138, 136-142 (2001). [CrossRef]
  37. K. Demarest, Z. Huang, and R. Plumb, “An FDTD near- to far-zone transformation for scatterers buried in stratified grounds,” IEEE Trans. Antennas Propag. 44, 1150-1156 (1996). [CrossRef]
  38. I. Capoglu and G. Smith, “A direct time-domain FDTD near-field-to-far-field transform in the presence of an infinite grounded dielectric slab,” IEEE Trans. Antennas Propag. 54, 3805-3814(2006). [CrossRef]
  39. C. Balanis, Advanced Engineering Electromagnetics (Wiley, 1989).
  40. J. Sipe, “New Green-function formalism for surface optics,” J. Opt. Soc. Am. B 4, 481-489 (1987). [CrossRef]
  41. F. Arnoldus and J. Foley, “Transmission of dipole radiation through interfaces and the phenomenon of anti-critical angles,” J. Opt. Soc. Am. A 21, 1109-1117 (2004). [CrossRef]
  42. Y. De Wilde, F. Formanek, R. Carminati, B. Gralak, P. Lemoine, K. Joulain, J. Mulet, Y. Chen, and J. Greffet, “Thermal radiation scanning tunnelling microscopy,” Nature 444, 740-743(2006). [CrossRef] [PubMed]

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.

Supplementary Material


» Media 1: MOV (658 KB)     
» Media 2: MOV (663 KB)     
» Media 3: MOV (508 KB)     

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited