A. Chafiq, Z. Hricha, and A. Belafhal, “Propagation properties of vector Mathieu-Gauss
beams,” Opt. Commun. 275, 165–169 (2007).
[Crossref]
M. Dong and J. Pu, “Effective Fresnel number and the focal shifts of
focused partially coherent beams,” J. Opt. Soc. Am. A 24, 192–196 (2007).
[Crossref]
J. Davila-Rodriguez and J. C. Gutiérrez-Vega, “Helical Mathieu and parabolic localized
pulses,” J. Opt. Soc. Am. A 24, 3449–3455 (2007).
[Crossref]
Y. V. Kartashov, A. A. Egorov, V. A. Vysloukh, and L. Torner, “Shaping soliton properties in Mathieu
lattices,” Opt. Lett. 31, 238–240 (2006).
[Crossref]
[PubMed]
C. López-Mariscal, J. C. Gutiérrez-Vega, G. Milne, and K. Dholakia, “Orbital angular momentum transfer in helical
Mathieu beams,” Opt. Express. 14, 4182–4187 (2006).
[Crossref]
[PubMed]
R. I. Hernandez-Aranda, J. C. Gutiérrez-Vega, M. Guizar-Sicairos, and M. A. Bandres, “Propagation of generalized vector Helmholtz-Gauss
beams through paraxial optical systems,” Opt. Express. 14, 8974–8988 (2006).
[Crossref]
[PubMed]
B. Lü and R. Peng, “Focal shift in Hermite-Gaussian beams based on the
encircled-power criterion,” Opt. Laser Technol. 35, 435–440 (2003).
[Crossref]
R. Dorn, S. Quabis, and G. Leuchs, “Sharper Focus for a Radially Polarized Light
Beam,” Phys. Rev. Lett. 91, 233901 (2003).
[Crossref]
[PubMed]
Z. Hricha, L. Dalil-Essakali, and A. Belafhal, “Axial intensity distribution and focal shifts of
focused partially coherent conical Bessel-Gauss beams,” Opt. Quantum. Electron. 35, 101–110 (2003).
[Crossref]
M. Martínez-Corral, C. J. Zapata Rodríguez, P. Andrés, and E. Silvestre, “Effective Fresnel-Number concept for evaluating the
relative focal shift in focused beams,” J. Opt. Soc. Am. A. 15, 449–455 (1998).
[Crossref]
C. J. R. Sheppard and P. Török, “Dependence of focal shift on Fresnel number and
angular aperture,” Opt. Lett. 23, 1803–1804 (1998).
[Crossref]
S. De Nicola, D. Anderson, and M. Lisak, “Focal shift effects in diffracted focused
beams,” Pure Appl. Opt. 7, 1249–1259 (1998).
[Crossref]
S. De Nicola, “On axis focal shift effects in focused truncated
J0 Bessel beams,” Pure Appl.
Opt. 5, 827–831 (1996).
[Crossref]
B. Lü and W. Huang, “Focal shift in unapertured Bessel-Gauss
beams,” Opt. Commun. 109, 43–46 (1994).
[Crossref]
T. C. Poon, “Focal shift in focused annular
beams,” Opt. Commun. 65, 401–406 (1988).
[Crossref]
W. H. Carter and M. F. Aburdene, “Focal shift in Laguerre-Gaussian
beams,” J. Opt. Soc. Am. A 10, 1949–1952 (1987).
[Crossref]
V. N. Mahajan, “Axial irradiance and optimum focusing of laser
beams,” Appl. Opt. 19, 3042–3053 (1983).
[Crossref]
J. J. Stamnes and B. Spjelkavik, “Focusing at small angular apertures in the Debye
and Kirchhoff approximations,” Opt. Commun. 40, 81–85 (1981).
[Crossref]
Y. Li and E. Wolf, “Focal shifts in diffracted converging spherical
waves,” Opt. Commun. 39, 211–215 (1981).
[Crossref]
M. Lax, W. H. Louisell, and W. B. McKnight, “From Maxwell to paraxial wave
optics,” Phys. Rev. A 11, 1365–1370 (1975).
[Crossref]
W. H. Carter and M. F. Aburdene, “Focal shift in Laguerre-Gaussian
beams,” J. Opt. Soc. Am. A 10, 1949–1952 (1987).
[Crossref]
J. Alda, “Laser and Gaussian beam propagation and
transformation,” in Encyclopedia of Optical
Engineering, (Marcel Dekker, New York, 2003).
S. De Nicola, D. Anderson, and M. Lisak, “Focal shift effects in diffracted focused
beams,” Pure Appl. Opt. 7, 1249–1259 (1998).
[Crossref]
M. Martínez-Corral, C. J. Zapata Rodríguez, P. Andrés, and E. Silvestre, “Effective Fresnel-Number concept for evaluating the
relative focal shift in focused beams,” J. Opt. Soc. Am. A. 15, 449–455 (1998).
[Crossref]
R. I. Hernandez-Aranda, J. C. Gutiérrez-Vega, M. Guizar-Sicairos, and M. A. Bandres, “Propagation of generalized vector Helmholtz-Gauss
beams through paraxial optical systems,” Opt. Express. 14, 8974–8988 (2006).
[Crossref]
[PubMed]
J. C. Gutiérrez-Vega and M. A. Bandres, “Helmholtz-Gauss waves,” J. Opt. Soc. Am. A 22, 289–298 (2005).
[Crossref]
M. A. Bandres and J. C. Gutiérrez-Vega, “Vector Helmholtz-Gauss and vector Laplace-Gauss
beams,” Opt. Lett. 30, 2155–2157 (2005).
[Crossref]
[PubMed]
R. I. Hernández-Aranda, M. A. Bandres, and J. C. Gutiérrez Vega, “Propagation dynamics of vector Mathieu-Gauss
beams,” in Laser Beam Shaping VII, Fred M. Dickey and David L. Shealy, eds., Proc. SPIE6290, 629011 (2006).
[Crossref]
A. Chafiq, Z. Hricha, and A. Belafhal, “Propagation properties of vector Mathieu-Gauss
beams,” Opt. Commun. 275, 165–169 (2007).
[Crossref]
Z. Hricha, L. Dalil-Essakali, and A. Belafhal, “Axial intensity distribution and focal shifts of
focused partially coherent conical Bessel-Gauss beams,” Opt. Quantum. Electron. 35, 101–110 (2003).
[Crossref]
L. Novotny, M. R. Beversluis, K. S. Youngworth, and T. G. Brown, “Longitudinal Field Modes Probed by Single
Molecules,” Phys. Rev. Lett. 86, 5251–5254 (2001).
[Crossref]
[PubMed]
L. Novotny, M. R. Beversluis, K. S. Youngworth, and T. G. Brown, “Longitudinal Field Modes Probed by Single
Molecules,” Phys. Rev. Lett. 86, 5251–5254 (2001).
[Crossref]
[PubMed]
A. Chafiq, Z. Hricha, and A. Belafhal, “Propagation properties of vector Mathieu-Gauss
beams,” Opt. Commun. 275, 165–169 (2007).
[Crossref]
Z. Hricha, L. Dalil-Essakali, and A. Belafhal, “Axial intensity distribution and focal shifts of
focused partially coherent conical Bessel-Gauss beams,” Opt. Quantum. Electron. 35, 101–110 (2003).
[Crossref]
S. De Nicola, D. Anderson, and M. Lisak, “Focal shift effects in diffracted focused
beams,” Pure Appl. Opt. 7, 1249–1259 (1998).
[Crossref]
S. De Nicola, “On axis focal shift effects in focused truncated
J0 Bessel beams,” Pure Appl.
Opt. 5, 827–831 (1996).
[Crossref]
C. López-Mariscal, J. C. Gutiérrez-Vega, G. Milne, and K. Dholakia, “Orbital angular momentum transfer in helical
Mathieu beams,” Opt. Express. 14, 4182–4187 (2006).
[Crossref]
[PubMed]
R. Dorn, S. Quabis, and G. Leuchs, “Sharper Focus for a Radially Polarized Light
Beam,” Phys. Rev. Lett. 91, 233901 (2003).
[Crossref]
[PubMed]
R. I. Hernandez-Aranda, J. C. Gutiérrez-Vega, M. Guizar-Sicairos, and M. A. Bandres, “Propagation of generalized vector Helmholtz-Gauss
beams through paraxial optical systems,” Opt. Express. 14, 8974–8988 (2006).
[Crossref]
[PubMed]
J. Davila-Rodriguez and J. C. Gutiérrez-Vega, “Helical Mathieu and parabolic localized
pulses,” J. Opt. Soc. Am. A 24, 3449–3455 (2007).
[Crossref]
R. I. Hernandez-Aranda, J. C. Gutiérrez-Vega, M. Guizar-Sicairos, and M. A. Bandres, “Propagation of generalized vector Helmholtz-Gauss
beams through paraxial optical systems,” Opt. Express. 14, 8974–8988 (2006).
[Crossref]
[PubMed]
C. López-Mariscal, J. C. Gutiérrez-Vega, G. Milne, and K. Dholakia, “Orbital angular momentum transfer in helical
Mathieu beams,” Opt. Express. 14, 4182–4187 (2006).
[Crossref]
[PubMed]
J. C. Gutiérrez-Vega and M. A. Bandres, “Helmholtz-Gauss waves,” J. Opt. Soc. Am. A 22, 289–298 (2005).
[Crossref]
M. A. Bandres and J. C. Gutiérrez-Vega, “Vector Helmholtz-Gauss and vector Laplace-Gauss
beams,” Opt. Lett. 30, 2155–2157 (2005).
[Crossref]
[PubMed]
J. C. Gutiérrez-Vega, M. D. Iturbe-Castillo, and S. Chávez-Cerda, “Alternative formulation for invariant optical
fields,” Opt. Lett. 25, 1493–1495 (2000).
[Crossref]
R. I. Hernandez-Aranda, J. C. Gutiérrez-Vega, M. Guizar-Sicairos, and M. A. Bandres, “Propagation of generalized vector Helmholtz-Gauss
beams through paraxial optical systems,” Opt. Express. 14, 8974–8988 (2006).
[Crossref]
[PubMed]
R. I. Hernández-Aranda, M. A. Bandres, and J. C. Gutiérrez Vega, “Propagation dynamics of vector Mathieu-Gauss
beams,” in Laser Beam Shaping VII, Fred M. Dickey and David L. Shealy, eds., Proc. SPIE6290, 629011 (2006).
[Crossref]
A. Chafiq, Z. Hricha, and A. Belafhal, “Propagation properties of vector Mathieu-Gauss
beams,” Opt. Commun. 275, 165–169 (2007).
[Crossref]
Z. Hricha, L. Dalil-Essakali, and A. Belafhal, “Axial intensity distribution and focal shifts of
focused partially coherent conical Bessel-Gauss beams,” Opt. Quantum. Electron. 35, 101–110 (2003).
[Crossref]
B. Lü and W. Huang, “Focal shift in unapertured Bessel-Gauss
beams,” Opt. Commun. 109, 43–46 (1994).
[Crossref]
M. Lax, W. H. Louisell, and W. B. McKnight, “From Maxwell to paraxial wave
optics,” Phys. Rev. A 11, 1365–1370 (1975).
[Crossref]
R. Dorn, S. Quabis, and G. Leuchs, “Sharper Focus for a Radially Polarized Light
Beam,” Phys. Rev. Lett. 91, 233901 (2003).
[Crossref]
[PubMed]
S. De Nicola, D. Anderson, and M. Lisak, “Focal shift effects in diffracted focused
beams,” Pure Appl. Opt. 7, 1249–1259 (1998).
[Crossref]
C. López-Mariscal, J. C. Gutiérrez-Vega, G. Milne, and K. Dholakia, “Orbital angular momentum transfer in helical
Mathieu beams,” Opt. Express. 14, 4182–4187 (2006).
[Crossref]
[PubMed]
M. Lax, W. H. Louisell, and W. B. McKnight, “From Maxwell to paraxial wave
optics,” Phys. Rev. A 11, 1365–1370 (1975).
[Crossref]
V. N. Mahajan, “Axial irradiance and optimum focusing of laser
beams,” Appl. Opt. 19, 3042–3053 (1983).
[Crossref]
M. Martínez-Corral, C. J. Zapata Rodríguez, P. Andrés, and E. Silvestre, “Effective Fresnel-Number concept for evaluating the
relative focal shift in focused beams,” J. Opt. Soc. Am. A. 15, 449–455 (1998).
[Crossref]
M. Lax, W. H. Louisell, and W. B. McKnight, “From Maxwell to paraxial wave
optics,” Phys. Rev. A 11, 1365–1370 (1975).
[Crossref]
C. López-Mariscal, J. C. Gutiérrez-Vega, G. Milne, and K. Dholakia, “Orbital angular momentum transfer in helical
Mathieu beams,” Opt. Express. 14, 4182–4187 (2006).
[Crossref]
[PubMed]
L. Novotny, M. R. Beversluis, K. S. Youngworth, and T. G. Brown, “Longitudinal Field Modes Probed by Single
Molecules,” Phys. Rev. Lett. 86, 5251–5254 (2001).
[Crossref]
[PubMed]
B. Lü and R. Peng, “Focal shift in Hermite-Gaussian beams based on the
encircled-power criterion,” Opt. Laser Technol. 35, 435–440 (2003).
[Crossref]
T. C. Poon, “Focal shift in focused annular
beams,” Opt. Commun. 65, 401–406 (1988).
[Crossref]
R. Dorn, S. Quabis, and G. Leuchs, “Sharper Focus for a Radially Polarized Light
Beam,” Phys. Rev. Lett. 91, 233901 (2003).
[Crossref]
[PubMed]
M. Martínez-Corral, C. J. Zapata Rodríguez, P. Andrés, and E. Silvestre, “Effective Fresnel-Number concept for evaluating the
relative focal shift in focused beams,” J. Opt. Soc. Am. A. 15, 449–455 (1998).
[Crossref]
M. Martínez-Corral, C. J. Zapata Rodríguez, P. Andrés, and E. Silvestre, “Effective Fresnel-Number concept for evaluating the
relative focal shift in focused beams,” J. Opt. Soc. Am. A. 15, 449–455 (1998).
[Crossref]
J. J. Stamnes and B. Spjelkavik, “Focusing at small angular apertures in the Debye
and Kirchhoff approximations,” Opt. Commun. 40, 81–85 (1981).
[Crossref]
J. J. Stamnes and B. Spjelkavik, “Focusing at small angular apertures in the Debye
and Kirchhoff approximations,” Opt. Commun. 40, 81–85 (1981).
[Crossref]
J. A. Stratton, Electromagnetic Theory (McGraw-Hill, New York, 1941).
R. I. Hernández-Aranda, M. A. Bandres, and J. C. Gutiérrez Vega, “Propagation dynamics of vector Mathieu-Gauss
beams,” in Laser Beam Shaping VII, Fred M. Dickey and David L. Shealy, eds., Proc. SPIE6290, 629011 (2006).
[Crossref]
L. Novotny, M. R. Beversluis, K. S. Youngworth, and T. G. Brown, “Longitudinal Field Modes Probed by Single
Molecules,” Phys. Rev. Lett. 86, 5251–5254 (2001).
[Crossref]
[PubMed]
J. Pu and B. Lü, “Focal shifts in focused nonuniformly polarized
beams,” J. Opt. Soc. Am. A 18, 2760–2766 (2001).
[Crossref]
C. A. Dartora and H. E. Hernández-Figueroa, “Properties of a localized Mathieu
pulse,” J. Opt. Soc. Am. A 21, 662–667 (2004).
[Crossref]
J. C. Gutiérrez-Vega and M. A. Bandres, “Helmholtz-Gauss waves,” J. Opt. Soc. Am. A 22, 289–298 (2005).
[Crossref]
M. Dong and J. Pu, “Effective Fresnel number and the focal shifts of
focused partially coherent beams,” J. Opt. Soc. Am. A 24, 192–196 (2007).
[Crossref]
J. Davila-Rodriguez and J. C. Gutiérrez-Vega, “Helical Mathieu and parabolic localized
pulses,” J. Opt. Soc. Am. A 24, 3449–3455 (2007).
[Crossref]
W. H. Carter and M. F. Aburdene, “Focal shift in Laguerre-Gaussian
beams,” J. Opt. Soc. Am. A 10, 1949–1952 (1987).
[Crossref]
M. Martínez-Corral, C. J. Zapata Rodríguez, P. Andrés, and E. Silvestre, “Effective Fresnel-Number concept for evaluating the
relative focal shift in focused beams,” J. Opt. Soc. Am. A. 15, 449–455 (1998).
[Crossref]
B. Lü and W. Huang, “Focal shift in unapertured Bessel-Gauss
beams,” Opt. Commun. 109, 43–46 (1994).
[Crossref]
J. J. Stamnes and B. Spjelkavik, “Focusing at small angular apertures in the Debye
and Kirchhoff approximations,” Opt. Commun. 40, 81–85 (1981).
[Crossref]
Y. Li and E. Wolf, “Focal shifts in diffracted converging spherical
waves,” Opt. Commun. 39, 211–215 (1981).
[Crossref]
T. C. Poon, “Focal shift in focused annular
beams,” Opt. Commun. 65, 401–406 (1988).
[Crossref]
A. Chafiq, Z. Hricha, and A. Belafhal, “Propagation properties of vector Mathieu-Gauss
beams,” Opt. Commun. 275, 165–169 (2007).
[Crossref]
R. I. Hernandez-Aranda, J. C. Gutiérrez-Vega, M. Guizar-Sicairos, and M. A. Bandres, “Propagation of generalized vector Helmholtz-Gauss
beams through paraxial optical systems,” Opt. Express. 14, 8974–8988 (2006).
[Crossref]
[PubMed]
C. López-Mariscal, J. C. Gutiérrez-Vega, G. Milne, and K. Dholakia, “Orbital angular momentum transfer in helical
Mathieu beams,” Opt. Express. 14, 4182–4187 (2006).
[Crossref]
[PubMed]
B. Lü and R. Peng, “Focal shift in Hermite-Gaussian beams based on the
encircled-power criterion,” Opt. Laser Technol. 35, 435–440 (2003).
[Crossref]
C. J. R. Sheppard and P. Török, “Dependence of focal shift on Fresnel number and
angular aperture,” Opt. Lett. 23, 1803–1804 (1998).
[Crossref]
E. Collet and E. Wolf, “Symmetry properties of focused
fields,” Opt. Lett. 5, 264–266 (1980).
[Crossref]
J. C. Gutiérrez-Vega, M. D. Iturbe-Castillo, and S. Chávez-Cerda, “Alternative formulation for invariant optical
fields,” Opt. Lett. 25, 1493–1495 (2000).
[Crossref]
M. A. Bandres and J. C. Gutiérrez-Vega, “Vector Helmholtz-Gauss and vector Laplace-Gauss
beams,” Opt. Lett. 30, 2155–2157 (2005).
[Crossref]
[PubMed]
Y. V. Kartashov, A. A. Egorov, V. A. Vysloukh, and L. Torner, “Shaping soliton properties in Mathieu
lattices,” Opt. Lett. 31, 238–240 (2006).
[Crossref]
[PubMed]
Z. Hricha, L. Dalil-Essakali, and A. Belafhal, “Axial intensity distribution and focal shifts of
focused partially coherent conical Bessel-Gauss beams,” Opt. Quantum. Electron. 35, 101–110 (2003).
[Crossref]
M. Lax, W. H. Louisell, and W. B. McKnight, “From Maxwell to paraxial wave
optics,” Phys. Rev. A 11, 1365–1370 (1975).
[Crossref]
L. Novotny, M. R. Beversluis, K. S. Youngworth, and T. G. Brown, “Longitudinal Field Modes Probed by Single
Molecules,” Phys. Rev. Lett. 86, 5251–5254 (2001).
[Crossref]
[PubMed]
R. Dorn, S. Quabis, and G. Leuchs, “Sharper Focus for a Radially Polarized Light
Beam,” Phys. Rev. Lett. 91, 233901 (2003).
[Crossref]
[PubMed]
S. De Nicola, D. Anderson, and M. Lisak, “Focal shift effects in diffracted focused
beams,” Pure Appl. Opt. 7, 1249–1259 (1998).
[Crossref]
S. De Nicola, “On axis focal shift effects in focused truncated
J0 Bessel beams,” Pure Appl.
Opt. 5, 827–831 (1996).
[Crossref]
R. I. Hernández-Aranda, M. A. Bandres, and J. C. Gutiérrez Vega, “Propagation dynamics of vector Mathieu-Gauss
beams,” in Laser Beam Shaping VII, Fred M. Dickey and David L. Shealy, eds., Proc. SPIE6290, 629011 (2006).
[Crossref]
J. Alda, “Laser and Gaussian beam propagation and
transformation,” in Encyclopedia of Optical
Engineering, (Marcel Dekker, New York, 2003).
J. A. Stratton, Electromagnetic Theory (McGraw-Hill, New York, 1941).