## Intrinsic, shape, and configurational birefringence

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 (*S*) effects, and the other to configurational-correlation (*C*) effects. The associated bipolarization and birefraction expressions show form (*F*) effects in which *S* and *C* 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 *F* effects are less than the *S*; if they reinforce (coaxial spheroids, one prolate and one oblate) then the *F* effects are greater than the *S*. We show how the earlier explicit results for similar *C* and *S* 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

- V. Twersky, "Form and intrinsic birefringence," J. Opt. Soc. Am. 65, 239–245 (1975).
- J. C. Maxwell, A Treatise on Electricity and Magnetism, (Cambridge University, Cambridge, 1873); (Dover, New York, 1954).
- Lord Rayleigh, "On the influence of obstacles arranged in rectangular order upon the properties of a medium," Philos. Mag. 34,481–501 (1892).
- O. Weiner, "Die theorie des mischkörpers für das feld der stationären strömung," Sachsische Akad. Wiss. 32, 507–591 (1912).
- W. F. Brown, Jr., "Dielectrics," in Handbuch der Physik, Vol. 17, (Springer, Berlin, 1956), pp. 1–154.
- 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).
- H. Reiss, H. L. Frisch, and J. L. Lebowitz, "Statistical mechanics of rigid spheres," J. Chem. Phys. 31, 369–380 (1959).
- V. Twersky, "Transparency of pair-correlated random distributions of small scatterers with applications to the cornea," J. Opt. Soc. Am. 65, 524–530 (1975).
- 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).
- V. Twersky, "Constraint on the compound depolarization factor of aligned ellipsoids," J. Math. Phys. 19, 2576–2578 (1978).
- 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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