Partially correlated azimuthal vortex illumination: Coherence and correlation measurements and effects in imaging

Optics Express

Volumn 16, Issue 25, 2008, Pages 20418-20426

  Brown, Dean P ^a   Brown, Thomas G ^a  

^a UNIVERSITY OF ROCHESTER   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

POLARIZATION;

AZIMUTHAL POLARIZATION; CORRELATION FUNCTION; CORRELATION MATRIX; CORRELATION MEASUREMENT; ILLUMINATION FIELDS; ILLUMINATION SYSTEM; THEORETICAL MODELING; YOUNG INTERFEROMETERS;

VORTEX FLOW;

ALGORITHM; ARTICLE; COMPUTER ASSISTED DIAGNOSIS; COMPUTER SIMULATION; ILLUMINATION; IMAGE ENHANCEMENT; LIGHT; METHODOLOGY; OPTICAL COHERENCE TOMOGRAPHY; RADIATION SCATTERING; STATISTICS; THEORETICAL MODEL;

ALGORITHMS; COMPUTER SIMULATION; IMAGE ENHANCEMENT; IMAGE INTERPRETATION, COMPUTER-ASSISTED; LIGHT; LIGHTING; MODELS, THEORETICAL; SCATTERING, RADIATION; STATISTICS AS TOPIC; TOMOGRAPHY, OPTICAL COHERENCE;

EID: 57349174086     PISSN: None     EISSN: 10944087     Source Type: Journal    
DOI: 10.1364/OE.16.020418     Document Type: Article

References (31)

1. R. H. Jordan and D. G. Hall, "Free-space azimuthal paraxial wave equation: The azimuthal Bessel-Gauss beam solution," Opt. Lett. 19, 427-429 (1994).
2. D. G. Hall, "Vector-beam solutions of Maxwell's wave equation," Opt. Lett. 21, 9-11 (1996).
3. P. L. Greene and D. G. Hall, "Properties and diffraction of vector Bessel-Gauss beams," J. Opt. Soc. Am. A 15, 3020-3027 (1998).
4. P. L. Greene and D. G. Hall, "Focal shift in vector beams," Opt. Express 4, 411-419 (1999).
5. C. J. R. Sheppard and S. Saghafi, "Transverse-electric and transverse-magnetic beam modes beyond the paraxial approximation," Opt. Lett. 24, 1543-1545 (1999).
6. K. S. Youngworth, "Inhomogeneous polarization in confocal microscopy," Ph.D. thesis, University of Rochester, Rochester, NY 14627 (2002).
7. D. P. Biss and T. G. Brown, "Polarization-vortex-driven second-harmonic generation," Opt. Lett. 28, 923-925 (2003).
8. D. P. Biss, "Focal field interactions from cylindrical vector beams," Ph.D. thesis, University of Rochester, Rochester, NY 14627 (2005).
9. S. Quabis, R. Dorn, and G. Leuchs, "Generation of a radially polarized doughnut mode of high quality," Appl. Phys. B 81, 597-600 (2005).
10. A. K. Spilman and T. G. Brown, "Stress birefringent, space-variant wave plates for vortex illumination," Appl. Opt. 26, 61-66 (2007).
11. H. H. Hopkins, "The concept of partial coherence in optics," Proc. Roy. Soc. A 208, 263-277 (1951).
12. H. H. Hopkins, "On the diffraction theory of optical images," Proc. Roy. Soc. A 217, 408-432 (1953).
13. H. H. Hopkins, "Image formation with coherent and partially coherent light," Photograph. Sci. Eng. 21 (1977).
14. L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge University Press, New York, 1995).
15. E. Wolf, "Unified theory of coherence and polarization of random electromagnetic beams," Phys. Lett. A 312, 263 (2003).
16. J. Tervo, T. Setälä, and A. T. Friberg, "Theory of partially coherent electromagnetic fields in the space-frequency domain," J. Opt. Soc. Am. A 21, 2205-2215 (2004).
17. T. Saastamoinen, J. T. J. Turunen, T. Setälä, and A. T. Friberg, "Electromagnetic coherence theory of laser resonator modes," J. Opt. Soc. Am. A 22, 103-108 (2005).
18. E. Wolf, "Coherence and polarization properties of electromagnetic laser modes," Opt. Commun. 265, 60-62 (2006).
19. W Wang and M. Takeda, "Linear and angular coherence momenta in the classical second-order coherence theory of vector electromagnetic fields," Opt. Lett. 31, 2520-2522 (2006).
20. E. Wolf, "The influence of Young's interference experiment on the development of statistical optics," in Progress in Optics, E. Wolf, ed., vol. 50, chap. 7 (Elsevier Science, 2007).
21. E. Wolf, Introduction to the Theory of Coherence and Polarization of Light (Cambridge University Press, New York, 2007).
22. F. Zernike, "The concept of degree of coherence and its application to optical problems," Physica 5, 785-795 (1938).
23. D. P. Brown, A. K. Spilman, T. G. Brown, M. A. Alonso, R. Borghi, and M. Santarsiero, "Calibration of a reversed-wavefront interferometer for polarization coherence metrology," vol. 6672, p. 667207 (SPIE, 2007).
24. D. P. Brown, A. K. Spilman, T. G. Brown, R. Borghi, S. N. Volkov, and E. Wolf, "Spatial coherence properties of azimuthally polarized laser modes," Opt. Commun. 281, 5287-5290 (2008).
25. G. Gbur, T. D. Visser, and E. Wolf, "'Hidden' singularities in partially coherent wavefields," J. Opt. A: Pure and Appl. Opt. 6, S239-S242 (2004).
26. D. M. Palacios, I. D. Maleev, A. S. Marathay, and G. A. Swartzlander, Jr., "Spatial correlation singularity of a vortex field," Phys. Rev. Lett. 92, 143,905 (2004).
27. I. D. Maleev, D. M. Palacios, A. S. Marathay, and G. A. Swartzlander, Jr., "Spatial correlation vortices in partially coherent light: theory," J. Opt. Soc. Am. B 21, 1895-1900 (2004).
28. I. D. Maleev and G. A. Swartzlander, Jr., "Propagation of spatial correlation vortices," J. Opt. Soc. Am. B 25, 915-922 (2008).
29. G. Gbur and G. A. Swartzlander, Jr., "Complete transverse representation of a correlation singularity of a partially coherent field," J. Opt. Soc. Am. B 25, 1422-1429 (2008).
30. R. Borghi and M. Santarsiero, "Nonparaxial propagation of spirally polarized optical beams," J. Opt. Soc. Am. A 21, 2029-2037 (2004).
31. M. Santarsiero and R. Borghi, "Measuring spatial coherence by using a reversed-wavefront Young interferometer," Opt. Lett. 31, 861-863 (2006).