Phase vortices from a Young's three-pinhole interferometer

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 75, Issue 6, 2007, Pages

  Ruben, Gary ^a   Paganin, David M ^a  

^a MONASH UNIVERSITY   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

PARAMETER ESTIMATION; VORTEX FLOW; WAVE PROPAGATION;

FAR-FIELD ANALYSIS; PHASE VORTICES; SPHERICAL WAVES;

INTERFEROMETERS;

EID: 34547355910     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.75.066613     Document Type: Article

References (41)

1. P. A. M. Dirac, Proc. R. Soc. London, Ser. A PRLAAZ 1364-5021 10.1098/rspa.1931.0130 133, 60 (1931).
2. A. Messiah, Quantum Mechanics (North-Holland, Amsterdam, 1961), Vol. I, Chap., pp. 412-420.
3. A. A. Abrikosov, Sov. Phys. JETP SPHJAR 0038-5646 5, 1174 (1957).
4. D. R. Tilley and J. Tilley, Superfluidity and Superconductivity, 3rd ed. (Institute of Physics, Bristol, 1990).
5. R. P. Feynman, Prog. Low Temp. Phys. PLTPAA 0079-6417 1, 17 (1955).
6. L. M. Pismen, Vortices in Nonlinear Fields: From Liquid Crystals to Superfluids, From Non-Equilibrium Patterns to Cosmic Strings (Oxford University Press, Oxford, 1999).
7. L. Pitaevskii and S. Stringari, Bose-Einstein Condensation (Oxford University Press, Oxford, 2003).
8. A. S. Desyatnikov, L. Torner, and Y. S. Kivshar, in Progress in Optics, edited by, E. Wolf, (Elsevier, Amsterdam, 2005), Vol. 47, Chap., pp. 291-391.
9. L. J. Allen, H. M. L. Faulkner, M. P. Oxley, and D. Paganin, Ultramicroscopy ULTRD6 0304-3991 10.1016/S0304-3991(01)00072-9 88, 85 (2001).
10. M. V. Berry, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/11/1/007 11, 27 (1978).
11. I. Freund, N. Shvartsman, and V. Freilikher, Opt. Commun. OPCOB8 0030-4018 10.1016/0030-4018(93)90375-F 101, 247 (1993).
12. J. Riess, Phys. Rev. D PRVDAQ 0556-2821 10.1103/PhysRevD.2.647 2, 647 (1970).
13. J. F. Nye and M. V. Berry, Proc. R. Soc. London, Ser. A PRLAAZ 1364-5021 336, 165 (1974).
14. J. O. Hirschfelder, C. J. Goebel, and L. W. Bruch, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1681900 61, 5456 (1974).
15. J. F. Nye, Natural Focusing and Fine Structure of Light: Caustics and Wave Dislocations (Institute of Physics, Bristol, 1999).
16. N. Heckenberg, R. McDuff, C. Smith, H. Rubinsztein-Dunlop, and M. Wegener, Opt. Quantum Electron. OQELDI 0306-8919 24, 951 (1992).
17. N. Heckenberg, R. McDuff, C. Smith, and A. White, Opt. Lett. OPLEDP 0146-9592 17, 221 (1992).
18. H. He, M. E. J. Friese, N. R. Heckenberg, and H. Rubinsztein-Dunlop, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.75.826 75, 826 (1995).
19. A. G. Peele and K. A. Nugent, Opt. Express OPEXFF 1094-4087 11, 2315 (2003).
20. M. Okamoto and H. Sasada, Jpn. J. Appl. Phys., Part 1 JAPNDE 0021-4922 10.1143/JJAP.44.1743 44, 1743 (2005).
21. V. V. Kotlyar, S. N. Khonina, A. A. Kovalev, V. A. Soifer, H. Elfstrom, and J. Turunen, Opt. Lett. OPLEDP 0146-9592 10.1364/OL.31.001597 31, 1597 (2006).
22. G.-H. Kim, J.-H. Jeon, K.-H. Ko, H.-J. Moon, J.-H. Lee, and J.-S. Chang, Appl. Opt. APOPAI 0003-6935 36, 8614 (1997).
23. J. E. Curtis and D. G. Grier, Opt. Lett. OPLEDP 0146-9592 28, 872 (2003).
24. K. Kishima, N. Yoshida, K. Osato, and N. Nakagawa, Appl. Opt. APOPAI 0003-6935 10.1364/AO.45.003489 45, 3489 (2006).
25. A. Boivin, J. Dow, and E. Wolf, J. Opt. Soc. Am. JOSAAH 0030-3941 57, 1171 (1967).
26. K. W. Nicholls and J. F. Nye, J. Phys. A JPHAC5 0305-4470 20, 4673 (1987).
27. J. Masajada and B. Dubik, Opt. Commun. OPCOB8 0030-4018 10.1016/S0030-4018(01)01499-7 198, 21 (2001).
28. K. O'Holleran, M. J. Padgett, and M. R. Dennis, Opt. Express OPEXFF 1094-4087 10.1364/OE.14.003039 14, 3039 (2006).
29. J. Leach, M. R. Dennis, J. Courtial, and M. J. Padgett, Nature (London) NATUAS 0028-0836 10.1038/432165a 432, 165 (2004).
30. W. M. Lee, V. Garcés-Chávez, and K. Dholakia, Opt. Express OPEXFF 1094-4087 10.1364/OE.14.007436 14, 7436 (2006).
31. D. R. Scherer, C. N. Weiler, T. W. Neely, and B. P. Anderson, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.110402 98, 110402 (2007).
32. M. V. Berry and M. R. Dennis, Proc. R. Soc. London, Ser. A PRLAAZ 1364-5021 10.1098/rspa.2001.0826 457, 2251 (2001).
33. M. De Graef, Introduction to Conventional Transmission Electron Microscopy (Cambridge University Press, Cambridge, England, 2003).
34. D. M. Paganin, Coherent X-Ray Optics (Oxford University Press, Oxford, 2006).
35. A. Messiah, Quantum Mechanics (North-Holland, Amsterdam, 1961), Vol. II, Chap., p. 811.
36. C. G. Gibson, Elementary Euclidean Geometry: An Introduction (Cambridge University Press, Cambridge, England, 2003).
37. D. Gabor, Rep. Prog. Phys. RPPHAG 0034-4885 10.1088/0034-4885/32/1/308 32, 395 (1969).
38. G. E. Andrews, Number Theory (Dover, New York, 1994).
39. M. Born, and, E. Wolf, Principles of Optics, 7th ed. (Cambridge University Press, Cambridge, England, 2003).
40. M. V. Berry, in Proceedings of the International Conference on Singular Optics, edited by, M. S. Soskin, (SPIE, Partenit, Ukraine, 1998), Vol. 3487, pp. 1-5.
41. M. V. Berry, J. F. Nye, and F. J. Wright, Philos. Trans. R. Soc. London, Ser. A PTRMAD 0962-8428 291, 453 (1979).