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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 69, Iss. 9 — Sep. 1, 1979
  • pp: 1199–1205

Intrinsic, shape, and configurational birefringence

Victor Twersky  »View Author Affiliations


JOSA, Vol. 69, Issue 9, pp. 1199-1205 (1979)
http://dx.doi.org/10.1364/JOSA.69.001199


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Abstract

We generalize earlier work on intrinsic and form birefringence for random distributions of aligned ellipsoids by taking the minimum separation of particle centers (the exclusion-correlation surface) as nonsimilar to the particle’s surface. For such cases, the bulk parameters involve a compound depolarization factor consisting of two distinct terms, one corresponding to particle shape (<i>S</i>) effects, and the other to configurational-correlation (<i>C</i>) effects. The associated bipolarization and birefraction expressions show form (<i>F</i>) effects in which <i>S</i> and <i>C</i> may either compete (and even cancel) or else reinforce. If they compete (e.g., for coaxial spheroidal particle and exclusion surfaces, both prolate or both oblate) then the <i>F</i> effects are less than the <i>S</i>; if they reinforce (coaxial spheroids, one prolate and one oblate) then the <i>F</i> effects are greater than the <i>S</i>. We show how the earlier explicit results for similar <i>C</i> and <i>S</i> can be generalized by inspection, and illustrate the procedure for key forms.

© 1979 Optical Society of America

Citation
Victor Twersky, "Intrinsic, shape, and configurational birefringence," J. Opt. Soc. Am. 69, 1199-1205 (1979)
http://www.opticsinfobase.org/josa/abstract.cfm?URI=josa-69-9-1199


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References

  1. V. Twersky, "Form and intrinsic birefringence," J. Opt. Soc. Am. 65, 239–245 (1975).
  2. J. C. Maxwell, A Treatise on Electricity and Magnetism, (Cambridge University, Cambridge, 1873); (Dover, New York, 1954).
  3. Lord Rayleigh, "On the influence of obstacles arranged in rectangular order upon the properties of a medium," Philos. Mag. 34,481–501 (1892).
  4. O. Weiner, "Die theorie des mischkörpers für das feld der stationären strömung," Sachsische Akad. Wiss. 32, 507–591 (1912).
  5. W. F. Brown, Jr., "Dielectrics," in Handbuch der Physik, Vol. 17, (Springer, Berlin, 1956), pp. 1–154.
  6. V. Twersky, "Coherent scalar field in pair-correlated random distributions of aligned scatterers," J. Math. Phys. 18, 2468–2486 (1977); "Coherent electromagnetic waves in pair-correlated distributions of aligned scatterers," J. Math. Phys. 19, 215–230 (1978).
  7. H. Reiss, H. L. Frisch, and J. L. Lebowitz, "Statistical mechanics of rigid spheres," J. Chem. Phys. 31, 369–380 (1959).
  8. V. Twersky, "Transparency of pair-correlated random distributions of small scatterers with applications to the cornea," J. Opt. Soc. Am. 65, 524–530 (1975).
  9. W. O. Smith, P. D. Foote, and P. F. Busang, "Packing of homogeneous spheres," Phys. Rev. 34, 1271–1298 (1929); G. D. Scott, "Packing of spheres," Nature 187, 908–909 (1960); J. D. Bernal and J. Mason, "Coordination of randomly packed spheres," Nature 187, 910–911 (1960); S. W. Hawley, T. H. Kays, and V. Twersky, "Comparison of distribution functions from scattering data on different sets of spheres," IEEE Trans. AP-15, 118–135 (1967).
  10. V. Twersky, "Constraint on the compound depolarization factor of aligned ellipsoids," J. Math. Phys. 19, 2576–2578 (1978).
  11. E. C. Stoner, "The demagnetizing factors for ellipsoids," Philos. Mag. 36, 803–821 (1945); J. A. Osborn, "Demagnetizing factors of the general ellipsoid," Phys. Rev. 67, 351–357 (1945).

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