Conical diffraction asymptotics: Fine structure of Poggendorff rings and axial spike

Journal of Optics A: Pure and Applied Optics

Volumn 6, Issue 4, 2004, Pages 289-300

  Berry, M V ^a  

^a UNIVERSITY OF BRISTOL   (United Kingdom)

Author keywords

Biaxial; Conical interaction; Degeneracy; Diffraction; Hamiltonian

Indexed keywords

ANISOTROPY; ASYMPTOTIC STABILITY; DISPERSION (WAVES); EIGENVALUES AND EIGENFUNCTIONS; ELECTROMAGNETIC WAVE DIFFRACTION; GEOMETRICAL OPTICS; GREEN'S FUNCTION; HAMILTONIANS; LIGHT PROPAGATION; LIGHT REFRACTION; MATHEMATICAL MODELS; REFRACTIVE INDEX;

BIAXIAL; CONICAL INTERACTION; CONICAL REFRACTION; DEGENERACY;

DIFFRACTIVE OPTICS;

EID: 2142762352     PISSN: 14644258     EISSN: None     Source Type: Journal    
DOI: 10.1088/1464-4258/6/4/001     Document Type: Article

References (30)

1. Landau L D, Lifshitz E M and Pitaevskii L P 1984 Electrodynamics of Continuous Media (Oxford: Pergamon)
2. Born M and Wolf E 1959 Principles of Optics (London: Pergamon)
3. Raman C V, Rajagopalan V S and Nedungadi T M K 1941 Conical refraction in naphthalene crystals Proc. Indian Acad. Sci. A 14 221-7
4. Belskii A M and Khapalyuk A P 1978 Propagation of confined light beams along the beam axes (axes of single ray velocity) of biaxial crystals Opt. Spectrosc. 44 312-5
5. Belskii A M and Khapalyuk A P 1978 Internal conical refraction of bounded light beams in biaxial crystals Opt. Spectrosc. 44 436-9
6. Schell A J and Bloembergen N 1978 Laser studies of internal conical diffraction. I. Quantitative comparison of experimental and theoretical conical intensity distribution in aragonite J. Opt. Soc. Am. 68 1093-8
7. Moskvin D N, Romanov V P and Val'kov A Y 1993 Green's function of the electromagnetic field in biaxial media Phys. Rev. E 48 1436-46
8. Warnick K F and Arnold D V 1997 Secondary dark rings of internal conical refraction Phys. Rev. E 55 6092-6
9. Belsky A M and Stepanov M A 1999 Internal conical refraction of coherent light beams Opt. Commun. 167 1-5
10. Belafhal A 2000 Theoretical intensity distribution of internal conical refraction Opt. Commun. 178 257-68
11. Stepanov M A 2002 Transformation of Bessel beams under internal conical refraction Opt. Commun. 212 11-6
12. King T A, Hogervorst W, Kazak N S, Khilo N A and Ryzhevich A A 2001 Formation of higher-order Bessel light beams in biaxial crystals Opt. Commun. 187 407-14
13. Ludwig D 1961 Conical refraction in crystal optics and hydromagnetics Commun. Pure Appl. Math. 14 113-24
14. Uhlmann G A 1982 Light intensity distribution in conical refraction Commun. Pure Appl. Math. 35 69-80
15. Melrose R B and Uhlmann G A 1979 Microlocal structure of involutive conical refraction Duke Math. J. 46 571-82
16. Dreger M A 1999 Optical beam propagation in biaxial crystals J. Opt. A: Pure Appl. Opt. 1 601-16
17. Naida O N 1979 'Tangential' conical refraction in a three-dimensional inhomogeneous weakly anisotropic medium Sov. Phys. - JETP 50 239-45
18. Schell A J and Bloembergen N 1978 Laser studies of internal conical diffraction. II. Intensity patterns in an optically active crystal, α-iodic acid J. Opt. Soc. Am. 68 1098-106
19. Belsky A M and Stepanov M A 2002 Internal conical refraction of light beams in biaxial gyrotropic crystals Opt. Commun. 204 1-6
20. Ramachandran G N and Ramaseshan S 1961 Crystal optics Handbuch der Physik vol XXV/I, ed H Flügge (Berlin: Springer)
21. Berry M V and Dennis M R 2003 The optical singularities of birefringent dichroic chiral crystals Proc. R. Soc. A 459 1261-92
22. Wolfram S 1996 The Mathematica Book (Cambridge: Cambridge University Press)
23. Abramowitz M and Stegun I A 1972 Handbook of Mathematical Functions (Washington, DC: National Bureau of Standards)
24. Tricker R A R 1970 Introduction to Meteorological Optics (New York: Elsevier)
25. van de Hulst H C 1981 Light Scattering by Small Particles (New York: Dover)
26. Nussenzveig H M 1992 Diffraction Effects in Semiclassical Scattering (Cambridge: Cambridge University Press)
27. Ford K W and Wheeler J A 1959 Semiclassical description of scattering Ann. Phys. 7 259-86
28. Berry M V and Mount K E 1972 Semiclassical approximations in wave mechanics Rep. Prog. Phys. 35 315-97
29. Deschamps G A 1971 Gaussian beam as a bundle of complex rays Electron. Lett. 7 684-5
30. Berry M V, Bhandari R and Klein S 1999 Black plastic sandwiches demonstrating biaxial optical anisotropy Eur. J. Phys. 20 1-14