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Volumn 18, Issue 1, 2001, Pages 177-184

Relationship between elegant laguerre-gauss and bessel-gauss beams

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; FOURIER TRANSFORMS; GREEN'S FUNCTION; LASER RESONATORS; LIGHT PROPAGATION; SPECTRUM ANALYSIS;

EID: 0001404041     PISSN: 10847529     EISSN: 15208532     Source Type: Journal    
DOI: 10.1364/JOSAA.18.000177     Document Type: Article
Times cited : (61)

References (52)
  • 1
    • 0000533169 scopus 로고
    • Open resonators with mirrors having variable reflection coefficients
    • N. G. Vakhimov, “Open resonators with mirrors having variable reflection coefficients,” Radio Eng. Electron. Phys. (USSR) 10, 1439-1446 (1965).
    • (1965) Radio Eng. Electron. Phys. (USSR) , vol.10 , pp. 1439-1446
    • Vakhimov, N.G.1
  • 2
    • 0014872570 scopus 로고
    • Optical resonators with variable reflectivity mirrors
    • H. Zucker, “Optical resonators with variable reflectivity mirrors,” Bell Syst. Tech. J. 49, 2349-2376 (1970).
    • (1970) Bell Syst. Tech. J , vol.49 , pp. 2349-2376
    • Zucker, H.1
  • 3
    • 0015083026 scopus 로고
    • Mode coupling in first-order optics
    • J. A. Arnaud, “Mode coupling in first-order optics,” J. Opt. Soc. Am. 61, 751-758 (1971).
    • (1971) J. Opt. Soc. Am , vol.61 , pp. 751-758
    • Arnaud, J.A.1
  • 4
    • 0017243868 scopus 로고
    • Beam modes in complex lenslike media and resonators
    • L. W. Casperson, “Beam modes in complex lenslike media and resonators,” J. Opt. Soc. Am. 66, 1373 -1379 (1976).
    • (1976) J. Opt. Soc. Am , vol.66
    • Casperson, L.W.1
  • 5
    • 85010097339 scopus 로고
    • Hermite-Gaussian functions of complex argument as optical-beam eigenfunctions
    • A. E. Siegman, “Hermite-Gaussian functions of complex argument as optical-beam eigenfunctions,” J. Opt. Soc. Am. 63, 1093-1094 (1973).
    • (1973) J. Opt. Soc. Am , vol.63 , pp. 1093-1094
    • Siegman, A.E.1
  • 6
    • 77956980133 scopus 로고
    • Hamiltonian theory of beam mode propagation
    • J. A. Arnaud, “Hamiltonian theory of beam mode propagation,” Prog. Opt. 11, 247-304 (1973).
    • (1973) Prog. Opt , vol.11 , pp. 247-304
    • Arnaud, J.A.1
  • 7
    • 0037784976 scopus 로고
    • Generalized Gaussian beams in free space
    • R. Pratesi and L. Ronchi, “Generalized Gaussian beams in free space,” J. Opt. Soc. Am. 67, 1274-1276 (1977).
    • (1977) J. Opt. Soc. Am , vol.67 , pp. 1274-1276
    • Pratesi, R.1    Ronchi, L.2
  • 10
    • 0000528958 scopus 로고
    • Propagation of light beams beyond the paraxial approximation
    • T. Takenaka, M. Yokota, and O. Fukumitsu, “Propagation of light beams beyond the paraxial approximation,” J. Opt. Soc. Am. A 2, 826-829 (1985).
    • (1985) J. Opt. Soc. Am. A , vol.2 , pp. 826-829
    • Takenaka, T.1    Yokota, M.2    Fukumitsu, O.3
  • 11
    • 84975564362 scopus 로고
    • Complex argument Hermite-Gaussian and Laguerre-Gaussian beams
    • E. Zauderer, “Complex argument Hermite-Gaussian and Laguerre-Gaussian beams,” J. Opt. Soc. Am. A 3, 465-469 (1986).
    • (1986) J. Opt. Soc. Am. A , vol.3 , pp. 465-469
    • Zauderer, E.1
  • 12
    • 0013668577 scopus 로고
    • Complex multipole pulsed beams and Hermite pulsed beams: A novel expansion scheme for transient radiation from well-collimated apertures
    • E. Heyman and I. Beracha, “Complex multipole pulsed beams and Hermite pulsed beams: A novel expansion scheme for transient radiation from well-collimated apertures,” J. Opt. Soc. Am. A 9, 1779-1793 (1992).
    • (1992) J. Opt. Soc. Am. A , vol.9 , pp. 1779-1793
    • Heyman, E.1    Beracha, I.2
  • 13
    • 0000602759 scopus 로고
    • From Maxwell to paraxial wave optics
    • M. Lax, W. H. Louisell, and W. B. McKnight, “From Maxwell to paraxial wave optics,” Phys. Rev. A 11, 1365-1370 (1975).
    • (1975) Phys. Rev. A , vol.11 , pp. 1365-1370
    • Lax, M.1    Louisell, W.H.2    McKnight, W.B.3
  • 15
    • 0032183052 scopus 로고    scopus 로고
    • Near field and far field of elegant Hermite-Gaussian and Laguerre-Gaussian modes
    • S. Saghafi and C. J. R. Sheppard, “Near field and far field of elegant Hermite-Gaussian and Laguerre-Gaussian modes,” J. Mod. Opt. 45, 1999-2009 (1998).
    • (1998) J. Mod. Opt , vol.45 , pp. 1999-2009
    • Saghafi, S.1    Sheppard, C.J.R.2
  • 16
    • 0017994727 scopus 로고
    • Gaussian-beam theory of lenses with annular aperture
    • C. J. R. Sheppard and T. Wilson, “Gaussian-beam theory of lenses with annular aperture,” Microwaves Opt. Acoust. 2, 105-112 (1978).
    • (1978) Microwaves Opt. Acoust , vol.2 , pp. 105-112
    • Sheppard, C.J.R.1    Wilson, T.2
  • 19
    • 0029267641 scopus 로고
    • Pseudonondif-fracting slitlike beam and its analogy to the pseudonondis-persing pulse
    • J. Rosen, B. Salik, A. Yariv, and H. K. Liu, “Pseudonondif-fracting slitlike beam and its analogy to the pseudonondis-persing pulse,” Opt. Lett. 20, 423-425 (1995).
    • (1995) Opt. Lett , vol.20 , pp. 423-425
    • Rosen, J.1    Salik, B.2    Yariv, A.3    Liu, H.K.4
  • 20
    • 0034145546 scopus 로고    scopus 로고
    • Axially symmetric on-axis flat-top beam
    • Q. Cao and S. Chi, “Axially symmetric on-axis flat-top beam,” J. Opt. Soc. Am. A 17, 447-455 (2000).
    • (2000) J. Opt. Soc. Am. A , vol.17 , pp. 447-455
    • Cao, Q.1    Chi, S.2
  • 22
    • 0030283171 scopus 로고    scopus 로고
    • Propagation of generalized Bessel-Gauss beams through ABCD optical systems
    • M. Santarsiero, “Propagation of generalized Bessel-Gauss beams through ABCD optical systems,” Opt. Commun. 132, 1-7 (1996).
    • (1996) Opt. Commun , vol.132 , pp. 1-7
    • Santarsiero, M.1
  • 23
    • 0001759602 scopus 로고    scopus 로고
    • M2 factor of Bessel-Gauss beams
    • R. Borghi and M. Santarsiero, “M2 factor of Bessel-Gauss beams,” Opt. Lett. 22, 262-264 (1997).
    • (1997) Opt. Lett , vol.22 , pp. 262-264
    • Borghi, R.1    Santarsiero, M.2
  • 24
    • 0023450634 scopus 로고
    • Modal expansion for J0-correlated Schell-model sources
    • F. Gori, G. Guattari, and C. Padovani, “Modal expansion for J0-correlated Schell-model sources,” Opt. Commun. 64, 311-316 (1987).
    • (1987) Opt. Commun , vol.64 , pp. 311-316
    • Gori, F.1    Guattari, G.2    Padovani, C.3
  • 25
    • 0030127055 scopus 로고    scopus 로고
    • Beams originated by J0-correlated Schell-model planar sources
    • C. Palma, R. Borghi, and G. Cincotti, “Beams originated by J0-correlated Schell-model planar sources,” Opt. Commun. 125, 113-121 (1996).
    • (1996) Opt. Commun , vol.125 , pp. 113-121
    • Palma, C.1    Borghi, R.2    Cincotti, G.3
  • 26
    • 0032648979 scopus 로고    scopus 로고
    • Superposition scheme for J0-correlated partially coherent sources
    • R. Borghi, “Superposition scheme for J0-correlated partially coherent sources,” IEEE J. Quantum Electron. 35, 849-856 (1999).
    • (1999) IEEE J. Quantum Electron , vol.35 , pp. 849-856
    • Borghi, R.1
  • 27
    • 0000584881 scopus 로고    scopus 로고
    • Partially coherent conical beams
    • A. V. Shchegrov and E. Wolf, “Partially coherent conical beams,” Opt. Lett. 25, 141-143 (2000).
    • (2000) Opt. Lett , vol.25 , pp. 141-143
    • Shchegrov, A.V.1    Wolf, E.2
  • 28
    • 0028406576 scopus 로고
    • Free-space azimuthal paraxial wave equation: The azimuthal Bessel-Gauss solution
    • R. H. Jordan and D. G. Hall, “Free-space azimuthal paraxial wave equation: The azimuthal Bessel-Gauss solution,” Opt. Lett. 19, 427-429 (1994).
    • (1994) Opt. Lett , vol.19 , pp. 427-429
    • Jordan, R.H.1    Hall, D.G.2
  • 29
    • 0002921148 scopus 로고    scopus 로고
    • Vector-beam solution of Maxwell’s wave equation
    • D. G. Hall, “Vector-beam solution of Maxwell’s wave equation,” Opt. Lett. 21, 9-12 (1996).
    • (1996) Opt. Lett , vol.21 , pp. 9-12
    • Hall, D.G.1
  • 30
    • 0032024223 scopus 로고    scopus 로고
    • High-order azimuthal spatial modes of concentric-circle-grating surface-emitting semiconductor lasers
    • C. Olson, P. L. Greene, G. W. Wicks, D. G. Hall, and S. Rishton, “High-order azimuthal spatial modes of concentric-circle-grating surface-emitting semiconductor lasers,” Appl. Phys. Lett. 72, 1284-1286 (1998).
    • (1998) Appl. Phys. Lett , vol.72 , pp. 1284-1286
    • Olson, C.1    Greene, P.L.2    Wicks, G.W.3    Hall, D.G.4    Rishton, S.5
  • 31
    • 0000970052 scopus 로고    scopus 로고
    • Properties and diffraction of vector Bessel-Gauss beams
    • P. L. Greene and D. G. Hall, “Properties and diffraction of vector Bessel-Gauss beams,” J. Opt. Soc. Am. A 15, 30203027 (1998).
    • (1998) J. Opt. Soc. Am. A , pp. 15
    • Greene, P.L.1    Hall, D.G.2
  • 32
    • 0002077489 scopus 로고
    • Self-phase-matching mechanism for efficient harmonic generation processes in a ring pump beam geometry
    • B. Glushko, B. Kryzhanovsky, and D. Sarkisyan, “Self-phase-matching mechanism for efficient harmonic generation processes in a ring pump beam geometry,” Phys. Rev. Lett. 71, 243-246 (1993).
    • (1993) Phys. Rev. Lett , vol.71 , pp. 243-246
    • Glushko, B.1    Kryzhanovsky, B.2    Sarkisyan, D.3
  • 33
    • 0000489411 scopus 로고    scopus 로고
    • Theory of third-harmonic generation using Bessel beams, and self-phase matching
    • S. P. Tewari, H. Huang, and R. W. Boyd, “Theory of third-harmonic generation using Bessel beams, and self-phase matching,” Phys. Rev. A 54, 2314-2325 (1996).
    • (1996) Phys. Rev. A , vol.54 , pp. 2314-2325
    • Tewari, S.P.1    Huang, H.2    Boyd, R.W.3
  • 34
    • 0032357691 scopus 로고    scopus 로고
    • Phase matching and harmonic generation in Bessel-Gauss beams
    • C. F. R. Caron and R. M. Potvliege, “Phase matching and harmonic generation in Bessel-Gauss beams,” J. Opt. Soc. Am. B 15, 1096-1106 (1998).
    • (1998) J. Opt. Soc. Am. B , vol.15 , pp. 1096-1106
    • Caron, C.F.R.1    Potvliege, R.M.2
  • 35
    • 0000867060 scopus 로고    scopus 로고
    • Efficiency of second-harmonic generation with Bessel beams
    • J. Arlt, K. Dholakia, L. Allen, and M. J. Padgett, “Efficiency of second-harmonic generation with Bessel beams,” Phys. Rev. A 60, 2438-2441 (1999).
    • (1999) Phys. Rev. A , vol.60 , pp. 2438-2441
    • Arlt, J.1    Dholakia, K.2    Allen, L.3    Padgett, M.J.4
  • 37
    • 0032202404 scopus 로고    scopus 로고
    • Resonators with Bessel -Gauss modes
    • P. Paakkonen and J. Turunen, “Resonators with Bessel -Gauss modes,” Opt. Commun. 156, 359-366 (1998).
    • (1998) Opt. Commun , vol.156 , pp. 359-366
    • Paakkonen, P.1    Turunen, J.2
  • 38
    • 0025546679 scopus 로고
    • New developments in laser resonators
    • D. A. Holmes, ed., Proc. SPIE 1224
    • A. Siegman, “New developments in laser resonators,” in Optical Resonators, D. A. Holmes, ed., Proc. SPIE 1224, 2-14 (1990).
    • (1990) Optical Resonators , pp. 2-14
    • Siegman, A.1
  • 39
    • 84975560982 scopus 로고
    • Comparison of Bessel and Gaussian beams
    • J. Durnin, J. J. Miceli, and J. H. Eberly, “Comparison of Bessel and Gaussian beams,” Opt. Lett. 13, 79-80 (1988).
    • (1988) Opt. Lett , vol.13 , pp. 79-80
    • Durnin, J.1    Miceli, J.J.2    Eberly, J.H.3
  • 40
    • 84975633811 scopus 로고
    • Diffracted effects in directed radiation beams
    • B. Hafizi and P. Sprangle, “Diffracted effects in directed radiation beams,” J. Opt. Soc. Am. A 8, 705-717 (1991).
    • (1991) J. Opt. Soc. Am. A , vol.8 , pp. 705-717
    • Hafizi, B.1    Sprangle, P.2
  • 42
    • 85010181998 scopus 로고
    • P. M. Mejias, H. Weber, R. Martínez-Herrero, and A. Gonzalez-Urena, eds., (Sociedad Espanola de Optica, Madrid
    • P. M. Mejias, H. Weber, R. Martínez-Herrero, and A. Gonzalez-Urena, eds., Proceedings of the Workshop on Laser Beam Characterization (Sociedad Espanola de Optica, Madrid, 1993)
    • (1993) Proceedings of the Workshop on Laser Beam Characterization
  • 43
    • 0004725976 scopus 로고
    • H. Weber, N. Reng, J. Ludtke, and P. M. Mejias, eds., (Festkorper-Laser-Institute, Berlin
    • H. Weber, N. Reng, J. Ludtke, and P. M. Mejias, eds., Laser Beam Characterization (Festkorper-Laser-Institute, Berlin, 1994)
    • (1994) Laser Beam Characterization
  • 46
    • 0023982773 scopus 로고
    • Partially coherent beams and a generalized ABCD law
    • R. Simon, N. Mukunda, and E. C. G. Sudarshan, “Partially coherent beams and a generalized ABCD law,” Opt. Commun. 65, 322-328 (1988).
    • (1988) Opt. Commun , vol.65 , pp. 322-328
    • Simon, R.1    Mukunda, N.2    Sudarshan, E.C.G.3
  • 47
    • 84975551215 scopus 로고
    • Beam propagation and the ABCD ray matrices
    • P. A. Bélanger, “Beam propagation and the ABCD ray matrices,” Opt. Lett. 16, 196-198 (1991).
    • (1991) Opt. Lett , vol.16 , pp. 196-198
    • Bélanger, P.A.1
  • 48
    • 0026156369 scopus 로고
    • Defining the effective radius of curvature of a nonideal optical beam
    • A. Siegman, “Defining the effective radius of curvature of a nonideal optical beam,” IEEE J. Quantum Electron. 27, 1146-1148 (1991).
    • (1991) IEEE J. Quantum Electron , vol.27 , pp. 1146-1148
    • Siegman, A.1
  • 49
    • 0032140908 scopus 로고    scopus 로고
    • The beam propagation factor for higher-order Gaussian beams
    • S. Saghafi and C. J. R. Sheppard, “The beam propagation factor for higher-order Gaussian beams,” Opt. Commun. 153, 207-210 (1998).
    • (1998) Opt. Commun , vol.153 , pp. 207-210
    • Saghafi, S.1    Sheppard, C.J.R.2
  • 50
    • 0027543074 scopus 로고
    • Astigmatic laser mode converters and transfer of orbital angular momentum
    • M. W. Beijersbergen, L. Allen, H. E. L. O. van der Veen, and J. P. Woerdman, “Astigmatic laser mode converters and transfer of orbital angular momentum,” Opt. Commun. 96, 123-132 (1993).
    • (1993) Opt. Commun , vol.96 , pp. 123-132
    • Beijersbergen, M.W.1    Allen, L.2    Van Der Veen, H.E.L.O.3    Woerdman, J.P.4
  • 51
    • 0032651461 scopus 로고    scopus 로고
    • The angular momentum of light: Optical spanners and the rotational frequency shift
    • See, for example, and references therein
    • See, for example, M. J. Padgett and L. Allen, “The angular momentum of light: Optical spanners and the rotational frequency shift,” Opt. Quantum Electron. 31, 1-12 (1999), and references therein.
    • (1999) Opt. Quantum Electron , vol.31 , pp. 1-12
    • Padgett, M.J.1    Allen, L.2


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