Diffraction characteristics of the azimuthal Bessel–Gauss beam

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

Volumn 13, Issue 5, 1996, Pages 962-966

  Greene, Pamela L ^a   Hall, Dennis G ^a  

^a UNIVERSITY OF ROCHESTER   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGEBRA; APPROXIMATION THEORY; DIFFRACTION; INTEGRAL EQUATIONS; LASER BEAMS; LENSES; SPECTRUM ANALYSIS;

ANGULAR SPECTRUM METHOD; AZIMUTHAL BESSEL GAUSSIAN BEAM; BESSEL FUNCTIONS; CARTESIAN DECOMPOSITION METHOD; CONCENTRIC CIRCLE GRATING SURFACE EMITTING LASER; FRESNEL DIFFRACTION; PARAXIAL APPROXIMATION; PINHOLE APERTURE;

LIGHT PROPAGATION;

EID: 0030151455     PISSN: 10847529     EISSN: 15208532     Source Type: Journal    
DOI: 10.1364/JOSAA.13.000962     Document Type: Article

References (20)

1. E. A. J. Marcatili and R. A. Schmeltzer, “Hollow metallic and dielectric waveguides for long distance optical transmission and lasers,” Bell Syst. Tech. J. 43, 1783–1809 (1964).
2. 01,” Appl. Phys. Lett. 20, 266–267 (1972).
3. Y. Mushiake, K. Matsumura, and N. Nakajima, “Generation of radially polarized optical beam mode by laser oscillation,” Proc. IEEE Lett. 60, 1107–1109 (1972).
4. 01modes from a wavelength-tunable laser,” IEEE J. Quantum Electron. QE-10, 125–127 (1974).
5. 2laser for transmission through circular waveguides,” Appl. Phys. Lett. 38, 743–745 (1981).
6. T. Erdogan, O. King, G. W. Wicks, D. G. Hall, E. H. Anderson, and M. J. Rooks, “Circularly symmetric operation of a concentric-circle-grating, surface-emitting, AlGaAs/ GaAs quantum-well semiconductor laser,” Appl. Phys. Lett. 60, 1921–1923 (1992).
7. T. Erdogan and D. G. Hall, “Circularly symmetric distributed feedback semiconductor laser: an analysis,” J. Appl. Phys. 68, 1435–1444 (1990).
8. 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).
9. J. Durnin, J. J. Miceli Jr., and J. H. Eberly, “Diffraction-free beams,” Phys. Rev. Lett. 58, 1499–1501 (1987).
10. J. Durnin, “Exact solutions for nondiffracting beams. I. The scalar theory,” J. Opt. Soc. Am. A 4, 651–654 (1987).
11. P. L. Overfelt and C. S. Kenney, “Comparison of the propagation characteristics of Bessel, Bessel-Gauss, and Gaussian beams diffracted by a circular aperture,” J. Opt. Soc. Am. A 8, 732–745 (1991).
12. 0Bessel beam,” Opt. Commun. 80, 299–302 (1991).
13. F. Gori, G. Guattari, and C. Padovani, “Bessel-Gauss beams,” Opt. Commun. 64, 491–495 (1987).
14. S. Ruschin, “Modified Bessel nondiffracting beams,” J. Opt. Soc. Am. A 11,3224-3228 (1994).
15. A. W. Snyder and J. D. Love, Optical Waveguide Theory (Chapman & Hall, New York, 1983), Chap. 12, pp. 248–259.
16. R. H. Jordan and D. G. Hall, “Highly directional surface emission from concentric-circle gratings on planar optical waveguides: the field-expansion method,” J. Opt. Soc. Am. A 12, 84–94 (1995).
17. G. Arfken, Mathematical Methods for Physicists, 3rd ed. (Academic, San Diego, Calif., 1985), Chap. 11, p. 585.
18. W. Magnus, F. Oberhettinger, and R. P. Soni, Formulas and Theorems for the Special Functions of Mathematical Physics, 3rd ed. (Springer-Verlag, New York, 1966), Sec. 3.8.3, p. 93.
19. R. G. Schell and G. Tyras, “Irradiance from an aperture with a truncated-Gaussian field distribution,” J. Opt. Soc. Am. 61, 31–35 (1971).
20. R. G. Schell and G. Tyras, “Irradiance from an aperture with a truncated-Gaussian field distribution,” J. Opt. Soc. Am. 61, 31–35 (1971).