Rotating scale-invariant electromagnetic fields

Optics Express

Volumn 9, Issue 1, 2001, Pages 9-15

  Tervo, Jani ^a   Turunen, Jari ^a  

^a UNIVERSITY OF EASTERN FINLAND   (Finland)

Author keywords

[No Author keywords available]

Indexed keywords

BESSEL FUNCTIONS; INVARIANCE; LIGHT PROPAGATION; PROBLEM SOLVING; ROTATION; VECTORS;

RADIAL SCALES; SCALAR FIELDS; WAVE FUNCTIONS; WAVE VECTORS;

ELECTROMAGNETIC FIELDS;

EID: 0003026623     PISSN: 10944087     EISSN: None     Source Type: Journal    
DOI: 10.1364/OE.9.000009     Document Type: Article

References (16)

1. W. D. Montgomery, "Self-imaging objects of infinite aperture," J. Opt. Soc. Am. 57 772-778 (1967).
2. W. D. Montgomery, "Algebraic formulation of diffraction applied to self imaging," J. Opt. Soc. Am. 58 1112-1124 (1968).
3. J. Durnin, "Exact solutions for nondiffracting beams. I. The scalar theory," J. Opt. Soc. Am. A 4 651-654 (1987).
4. J. Durnin, J. J. Miceli, Jr., and J. H. Eberly, "Diffraction-free beams," Phys. Rev. Lett. 58 1499-1501 (1987).
5. S. Chávez-Cerda, G. S. McDonald, and G. H. S. New, "Nondiffracting Beams: travelling, standing, rotating and spiral waves," Opt. Commun. 123 225-233 (1996).
6. C. Paterson and R. Smith, "Higher-order Bessel waves produced by axicon-type computer-generated holograms," Opt. Commun. 124 121-130 (1996).
7. V. V. Kotlyar, V. A. Soifer and S. N. Khonina, "An algorithm for the generation of laser-beams with longitudinal periodicity," J. Mod. Opt. 44 1409-1416 (1997).
8. P. Pääkkönen, J. Lautanen, M. Honkanen, M. Kuittinen, J. Turunen, S. N. Khonina, V. V. Kotlyar, V. A. Soifer and A. T. Friberg, "Rotating optical fields: experimental demonstration with diffractive optics," J. Mod. Opt. 46 2355-2369 (1998).
9. S. N. Khonina, S. N., V. V. Kotlyar, V. A. Soifer, J. Lautanen, M. Honkanen, and J. Turunen, "Generating a couple of rotating nondiffracting beams using a binary-phase DOE," Optik 110 137-144 (1999).
10. S. R. Mishra, "A vector wave analysis of a Bessel beam," Opt. Commun. 85 159-161 (1991).
11. J. Turunen and A. T. Friberg, "Self-imaging and propagation- invariance in electromagnetic fields," Pure Appl. Opt. 2 51-60 (1993).
12. Z. Bouchal and M. Olivík, "Non-diffractive vector Bessel beams," J. Mod. Opt. 8 1555-1566 (1995).
13. Z. Bouchal, R. Horák and J. Wagner, "Propagation-invariant electromagnetic fields," J. Mod. Opt. 9 1905-1920 (1996).
14. L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge University Press, Cambridge, 1995), sect. 3.2.
15. G. B. Arfken and H. J. Weber, Mathematical Methods for Physicists (Academic Press, New York, 2001), p. 681.
16. H. F. Talbot, "Facts relating to optical science, No. IV," Philos. Mag. 9 401-407 (1836).