Systematic eigenvalue approach to crystal optics: An analytic alternative to the geometric ellipsoid model

Journal of the Optical Society of America A: Optics and Image Science, and Vision

Volumn 15, Issue 8, 1998, Pages 2199-2207

  Gunning, M J ^a   Raab, R E ^a  

^a UNIVERSITY OF KWAZULU NATAL   (South Africa)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0005370377     PISSN: 10847529     EISSN: 15208532     Source Type: Journal    
DOI: 10.1364/JOSAA.15.002199     Document Type: Article

References (39)

1. E. B. Graham and R. E. Raab, “On the Jones birefringence, ” Proc. R. Soc. London, Ser. A 390, 73–90 (1983).
2. E. B. Graham and R. E. Raab, “Light propagation in cubic and other anisotropic crystals, ” Proc. R. Soc. London Ser. A 430, 593–614 (1990).
3. P. N. Argyres, “Theory of the Faraday and Kerr effects in ferromagnetics, ” Phys. Rev. 97, 334–345 (1955).
4. C. Graham and R. E. Raab, “Eigenvector approach to the evaluation of the Jones N matrices of nonabsorbing crystalline media, ” J. Opt. Soc. Am. A 11, 2137–2144 (1994).
5. E. B. Graham and R. E. Raab, “Electric dipole effects in magnetic crystals, ” J. Appl. Phys. 69, 2549–2551 (1991).
6. E. B. Graham and R. E. Raab, “A theory in the electric quadrupole-magnetic dipole approximation of birefringences in antiferromagnetic crystals, ” Ferroelectrics 162, 161–171 (1994).
7. H. A. Lorentz, “Concerning the relation between the velocity of propagation of light and the density and composition of media, ” Verh. K. Akad. Wet. 18, 1 (1878);.
8. H. A. Lorentz, Collected Papers, P. Zeeman and A. D. Fokker, eds. (Nijhoff, The Hague, 1936), Vol. 2, pp. 1–119.
9. H. A. Lorentz, “Double refraction by regular crystals, ” Proc. K. Ned. Acad. Wet. 24, 333–339 (1922);.
10. H. A. Lorentz, Collected Papers, P. Zeeman and A. D. Fokker, eds. (Nijhoff, The Hague, 1936), Vol. 3, pp. 314–320.
11. J. Pastrnak and L. E. Cross, “The optical anisotropy of cubic nickel-iodine boracite due to quadrupole transitions, ” Phys. Status Solidi B 44, 313–325 (1971).
12. J. Pastrnak and K. Vedam, “Optical anisotropy of silicon single crystals, ” Phys. Rev. B 3, 2567–2571 (1971).
13. F. A. Jenkins and H. E. White, Fundamentáis ofOptics, 4th ed. (McGraw-Hill, New York, 1976), pp. 552, 583, 589.
14. E. U. Condon and F. Seitz, “Lorentz double refraction in the regular system, ” J. Opt. Soc. Am. 22, 393–401 (1932).
15. R. Clark Jones, “A new calculus for the treatment of optical systems. VII. Properties of the N-matrices, ” J. Opt. Soc. Am. 38, 671–685 (1948).
16. J. W. Gibbs, “Notes on the electromagnetic theory of light. No. II—on refraction in perfectly transparent media which exhibit the phenomena of circular birefringence, ” Am. J. Sci. 23, 460–476 (1882).
17. H. Nakano and H. Kimura, “Quantum statisticalmechanical theory of optical activity, ” J. Phys. Soc. Jpn. 27, 519–535 (1969).
18. A. D. Buckingham and M. B. Dunn, “Optical activity of oriented molecules, ” J. Chem. Soc. A 1988–1991 (1971).
19. L. D. Barron and A. D. Buckingham, “Rayleigh and Raman scattering from optically active molecules, ” Molec. Phys. 20, 1111–1119 (1971).
20. R. E. Raab and J. H. Cloete, “An eigenvalue theory of circular birefringence and dichroism in a non-magnetic chiral medium, ” J. Electromagn. Waves Appl. 8, 1073–1089 (1994).
21. E. B. Graham and R. E. Raab, “Non-reciprocal optical rotation in cubic antiferromagnetics, ” Philos. Mag. B 64, 267–274 (1991).
22. T. A. Maldonado and T. K. Gaylord, “Accurate method to determine the eigenstates of polarization in gyrotropic media, ” Appl. Opt. 28, 2075–2086 (1989).
23. E. B. Graham, J. Pierrus, and R. E. Raab, “Multipole moments and Maxwell’s equations, ” J. Phys. B 25, 4673–4684 (1992).
24. L. Rosenfeld, Theory of Electrons (North-Holland, Amsterdam, 1951), Chap. 2.
25. F. N. H. Robinson, Macroscopic Electromagnetism (Pergamon, Oxford, UK, 1973), pp. 56–62.
26. A. D. Buckingham, “Permanent and induced molecular moments and long-range intermolecular forces, ” in Intermolecular Forces, J. O. Hirschfelder, ed., Adv. Chem. Phys. 12, 107–142 (1967).
27. L. D. Barron, Molecular Light Scattering and Optical Activity (Cambridge U. Press, Cambridge, UK, 1982), p. 76.
28. I. M. B. de Figueiredo and R. E. Raab, “A molecular theory of new differential light scattering effects in a fluid, ” Proc. R. Soc. London Ser. A 375, 425–441 (1981).
29. J. D. Jackson, Classical Electrodynamics, 2nd ed. (Wiley, New York, 1975), p. 142.
30. R. R. Birss, Symmetry and Magnetism, 2nd ed. (NorthHolland, Amsterdam, 1966).
31. S. I. Pekar, Crystal Optics and Additional Light Waves (Benjamin/Cummings, Menlo Park, Calif., 1983), p. XV.
32. A. Yariv and P. Yeh, Optical Waves in Crystals (Wiley, New York, 1984), pp. 73, 75, 79.
33. E. B. Graham and R. E. Raab, “Magnetic effects in antiferromagnetic crystals in the electric quadrupole-magnetic dipole approximation, ” Philos. Mag. B 66, 269–284 (1992).
34. M. Born and E. Wolf, Principles of Optics, 6th ed. (Pergamon, New York, 1980), Chap. 14.
35. J. F. Nye, Physical Properties of Crystals (Clarendon, Oxford, UK, 1985), Appendix H, p. 271.
36. T. A. Maldonado and T. K. Gaylord, “Electrooptic effect calculations: simplified procedure for arbitrary cases, ” Appl. Opt. 27, 5051–5066 (1988).
37. G. N. Ramachandran and S. Ramaseshan, “Crystal optics, ” in Handbuch der Physik, S. Flügge, ed. (Springer-Verlag, Berlin, 1961), Vol. XXV/1, p. 63.
38. V. M. Agranovich and V. L. Ginzburg, Crystal Optics with Spatial Dispersion, and Excitons, 2nd ed. (Springer-Verlag, Berlin, 1984), pp. 167–173.
39. D. E. Gray, American Institute ofPhysics Handbook, 3rd ed. (McGraw-Hill, New York, 1972), pp. 6–115.