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Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Editor: Henry M. Van Driel
  • Vol. 24, Iss. 6 — Jun. 1, 2007
  • pp: 1291–1297

Light scattering from anisotropic block copolymer grains in a planar waveguide

Zhuangxi Fang, Maurice C. Newstein, Bruce A. Garetz, Jeffrey D. Wilbur, and Nitash P. Balsara  »View Author Affiliations


JOSA B, Vol. 24, Issue 6, pp. 1291-1297 (2007)
http://dx.doi.org/10.1364/JOSAB.24.001291


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Abstract

A theory is presented to treat depolarized light scattering in a planar waveguide consisting of an ordered block copolymer thin film on a fused-silica substrate. In guided-wave depolarized light scattering (GWDLS), light is coupled into a transverse-magnetic mode of the film, which acts as a planar waveguide. Scattering of the incident light from randomly oriented, optically anisotropic grains results in the coupling of light into propagating transverse-electric (TE) modes in the sample. A dyadic Green’s function approach is employed to derive a quantitative relationship between the total optical power of the scattered TE wave and the average size of the grains. The grain size thus calculated from GWDLS experiments is consistent with the position space results of atomic force microscopy.

© 2007 Optical Society of America

OCIS Codes
(160.5470) Materials : Polymers
(290.5820) Scattering : Scattering measurements
(310.2790) Thin films : Guided waves

ToC Category:
Materials

History
Original Manuscript: September 6, 2006
Manuscript Accepted: February 6, 2007
Published: May 17, 2007

Citation
Zhuangxi Fang, Maurice C. Newstein, Bruce A. Garetz, Jeffrey D. Wilbur, and Nitash P. Balsara, "Light scattering from anisotropic block copolymer grains in a planar waveguide," J. Opt. Soc. Am. B 24, 1291-1297 (2007)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-24-6-1291


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References

  1. F. S. Bates and G. H. Fredrickson, "Block copolymer thermodynamics: theory and experiment," Annu. Rev. Phys. Chem. 41, 525-557 (1990). [CrossRef] [PubMed]
  2. M. Goldstein and E. R. Michalik, "Theory of scattering by an inhomogeneous solid possessing fluctuations in density and anisotropy," J. Appl. Phys. 26, 1450-1457 (1955). [CrossRef]
  3. R. S. Stein and P. R. Wilson, "Scattering of light by polymer films possessing correlated orientation fluctuations," J. Appl. Phys. 33, 1914-1922 (1962). [CrossRef]
  4. N. Hadjichristidis, S. Pispas, and G. Floudas, Block Copolymer (Wiley-Interscience, 2003), Chap. 17.
  5. N. P. Balsara, B. A. Garetz, and H. J. Dai, "Relationship between birefringence and the structure of ordered block copolymer materials," Macromolecules 25, 6072-6074 (1992). [CrossRef]
  6. G. Floudas, G. Fytas, N. Hadjichristidis, and M. Pitsikalis, "Metastable states below the order-disorder transition in asymmetric diblock copolymer. A time-resolved depolarized light-scattering study," Macromolecules 28, 2359-2362 (1995). [CrossRef]
  7. M. C. Newstein, B. A. Garetz, N. P. Balsara, M. Y. Chang, and H. J. Dai, "Growth of grains and correlated grain clusters in a block copolymer melt," Macromolecules 31, 64-76 (1998). [CrossRef]
  8. H. Wang, M. C. Newstein, M. Y. Chang, N. P. Balsara, and B. A. Garetz, "Birefringence and depolarized light scattering of and ordered block copolymer melt under shear flow," Macromolecules 33, 3719-3730 (2000). [CrossRef]
  9. B. A. Garetz, M. C. Newstein, J. D. Wilbur, A. J. Patel, D. A. Durkee, R. A. Segalman, J. A. Liddle, and N. P. Balsara, "Grain structure in block copolymer thin films studied by guided wave depolarized light scattering," Macromolecules 38, 4282-4288 (2005). [CrossRef]
  10. C. T. Tai, Dyadic Green's Functions in Electromagnetic Theory, 2nd ed. (IEEE, 1994).
  11. T. G. Giallorenzi and J. P. Sheridan, "Light scattering from nematic liquid crystal waveguides," J. Appl. Phys. 46, 1271-1282 (1975). [CrossRef]
  12. T. G. Giallorenzi, J. A. Weiss, and J. P. Sheridan, "Light scattering from smectic liquid-crystal waveguides," J. Appl. Phys. 47, 1820-1826 (1976). [CrossRef]
  13. M. Paulus, P. Gay-Balmaz, and O. J. F. Martin, "Accurate and efficient computation of the Green's tensor for stratified media," Phys. Rev. E 62, 5797-5807 (2000). [CrossRef]
  14. M. Paulus, P. Gay-Balmaz, and O. J. F. Martin, "Green's tensor technique for scattering in two-dimensional stratified media," Phys. Rev. E 63, 066615 (2001). [CrossRef]
  15. M. Paulus and O. J. F. Martin, "Light propagation and scattering in stratified media: a Green's tensor approach," J. Opt. Soc. Am. A 18, 854-861 (2001). [CrossRef]
  16. M. Born and E. Wolf, Principles of Optics, 7th (expanded) ed. (Cambridge U. Press, 1999), Chap. XIII.
  17. A. Yariv and P. Yeh, Optical Waves in Crystals: Propagation and Control of Laser Radiation (Wiley, 1984), Chap. 11.
  18. P. K. Tien, "Light waves in thin films and integrated optics," Appl. Opt. 10, 2395-2413 (1971). [CrossRef] [PubMed]
  19. M. Y. Chang, F. M. Abuzaina, W. G. Kim, J. P. Gupton, B. A. Garetz, M. C. Newstein, N. P. Balsara, L. Yang, S. P. Gido, R. E. Cohen, Y. Boontongkong, and A. Bellare, "Analysis of grain structure in partially ordered block copolymers by depolarized light scattering and transmission electron microscopy," Macromolecules 35, 4437-4447 (2002). [CrossRef]

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