Abstract

This study reports a possible first systematic approach to the selective excitations of all Mathieu-Gauss modes (MGMs) in end-pumped solid-state lasers with a new kind of axicon-based stable laser resonator. The study classifies MGMs into two categories, and explores and verifies the approach to excite each MGM category using numerical simulations. Controlling both the “cavity mode gain” and the “cavity conical asymmetry” of the axicon-based stable laser resonator achieves the proposed selective MGM-excitation approach.

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    [CrossRef]
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    [CrossRef] [PubMed]
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    [CrossRef]
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    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]

2010 (1)

2009 (1)

K. Tokunaga, S.-C. Chu, H.-Y. Hsiao, T. Ohtomo, and K. Otsuka, “Spontaneous Mathieu-Gauss mode oscillation in micro-grained Nd:YAG ceramic lasers with azimuth laser-diode pumping,” Laser Phys. Lett. 6(9), 635–638 (2009).
[CrossRef]

2008 (2)

E. Mcleod, AndC. B. Arnold, “Subwavelength direct-write nanopatterning using optically trapped microspheres,” Nat. Nanotechnol. 3(7), 413–417 (2008).
[CrossRef] [PubMed]

E. Mcleod, AndC. B. Arnold, “Subwavelength direct-write nanopatterning using optically trapped microspheres,” Nat. Nanotechnol. 3(7), 413–417 (2008).
[CrossRef] [PubMed]

M. B. Alvarez-Elizondo, R. Rodríguez-Masegosa, and J. C. Gutiérrez-Vega, “Generation of Mathieu-Gauss modes with an axicon-based laser resonator,” Opt. Express 16(23), 18770–18775 (2008).
[CrossRef] [PubMed]

2007 (3)

2006 (3)

2005 (1)

2004 (2)

2003 (3)

J. C. Gutiérrez-Vega, R. Rodríguez-Masegosa, and S. Chávez-Cerda, “Bessel–Gauss resonator with spherical output mirror: geometrical- and wave-optics analysis,” J. Opt. Soc. Am. A 20(11), 2113–2122 (2003).
[CrossRef]

K. Wang, L. Zeng, and Ch. Yin, “Influence of the incident wave-front on intensity distribution of the nondiffracting beam used in large-scale measurement,” Opt. Commun. 216(1-3), 99–103 (2003).
[CrossRef]

V. Garce´s-Cha´vez, D. McGloin, M. J. Padgett, W. Dultz, H. Schmitzer, and K. Dholakia,“Observation of the transfer of the local angular momentum density of a multiringed light beam to an optically trapped particle,” Phys. Rev. Lett. 91(9), 093602 (2003).
[CrossRef] [PubMed]

2000 (1)

1999 (1)

1987 (3)

J. Durnin, J. Miceli, and J. H. Eberly, “Diffraction-free beams,” Phys. Rev. Lett. 58(15), 1499–1501 (1987).
[CrossRef] [PubMed]

J. Durnin, “Exact solutions for nondiffracting beams. I. The scalar theory,” J. Opt. Soc. Am. A 4(4), 651–654 (1987).
[CrossRef]

F. Gori, G. Guattari, and C. Padovani, “Bessel–Gauss beams,” Opt. Commun. 64(6), 491–495 (1987).
[CrossRef]

1983 (1)

Alvarez-Elizondo, M. B.

Ambrosio, L. A.

Arnold, C. B.

E. Mcleod, AndC. B. Arnold, “Subwavelength direct-write nanopatterning using optically trapped microspheres,” Nat. Nanotechnol. 3(7), 413–417 (2008).
[CrossRef] [PubMed]

Bandres, M. A.

Bhowmik, A.

Bouchal, Z.

V. Kollarova, T. Medrik, R. Celechovsky, Z. Bouchal, O. Wilfert, and Z. Kolka, “Application of nondiffracting beams to wireless optical communications,” Proc. SPIE 6736, 67361C, 67361C-9 (2007).
[CrossRef]

Celechovsky, R.

V. Kollarova, T. Medrik, R. Celechovsky, Z. Bouchal, O. Wilfert, and Z. Kolka, “Application of nondiffracting beams to wireless optical communications,” Proc. SPIE 6736, 67361C, 67361C-9 (2007).
[CrossRef]

Chávez-Cerda, S.

Chu, S. -C.

Chu, S.-C.

K. Tokunaga, S.-C. Chu, H.-Y. Hsiao, T. Ohtomo, and K. Otsuka, “Spontaneous Mathieu-Gauss mode oscillation in micro-grained Nd:YAG ceramic lasers with azimuth laser-diode pumping,” Laser Phys. Lett. 6(9), 635–638 (2009).
[CrossRef]

S.-C. Chu and K. Otsuka, “Numerical study for selective excitation of Ince-Gaussian modes in end-pumped solid-state lasers,” Opt. Express 15(25), 16506–16519 (2007).
[CrossRef] [PubMed]

Dartora, C. A.

Dholakia, K.

C. López-Mariscal, J. C. Gutiérrez-Vega, G. Milne, and K. Dholakia, “Orbital angular momentum transfer in helical Mathieu beams,” Opt. Express 14(9), 4182–4187 (2006).
[CrossRef] [PubMed]

V. Garce´s-Cha´vez, D. McGloin, M. J. Padgett, W. Dultz, H. Schmitzer, and K. Dholakia,“Observation of the transfer of the local angular momentum density of a multiringed light beam to an optically trapped particle,” Phys. Rev. Lett. 91(9), 093602 (2003).
[CrossRef] [PubMed]

Dultz, W.

V. Garce´s-Cha´vez, D. McGloin, M. J. Padgett, W. Dultz, H. Schmitzer, and K. Dholakia,“Observation of the transfer of the local angular momentum density of a multiringed light beam to an optically trapped particle,” Phys. Rev. Lett. 91(9), 093602 (2003).
[CrossRef] [PubMed]

Durnin, J.

J. Durnin, “Exact solutions for nondiffracting beams. I. The scalar theory,” J. Opt. Soc. Am. A 4(4), 651–654 (1987).
[CrossRef]

J. Durnin, J. Miceli, and J. H. Eberly, “Diffraction-free beams,” Phys. Rev. Lett. 58(15), 1499–1501 (1987).
[CrossRef] [PubMed]

Eberly, J. H.

J. Durnin, J. Miceli, and J. H. Eberly, “Diffraction-free beams,” Phys. Rev. Lett. 58(15), 1499–1501 (1987).
[CrossRef] [PubMed]

Egorov, A. A.

Endo, M.

Fujioka, T.

Garce´s-Cha´vez, V.

V. Garce´s-Cha´vez, D. McGloin, M. J. Padgett, W. Dultz, H. Schmitzer, and K. Dholakia,“Observation of the transfer of the local angular momentum density of a multiringed light beam to an optically trapped particle,” Phys. Rev. Lett. 91(9), 093602 (2003).
[CrossRef] [PubMed]

Gori, F.

F. Gori, G. Guattari, and C. Padovani, “Bessel–Gauss beams,” Opt. Commun. 64(6), 491–495 (1987).
[CrossRef]

Guattari, G.

F. Gori, G. Guattari, and C. Padovani, “Bessel–Gauss beams,” Opt. Commun. 64(6), 491–495 (1987).
[CrossRef]

Gutiérrez-Vega, J. C.

Hernández-Figueroa, H. E.

Hsiao, H.-Y.

K. Tokunaga, S.-C. Chu, H.-Y. Hsiao, T. Ohtomo, and K. Otsuka, “Spontaneous Mathieu-Gauss mode oscillation in micro-grained Nd:YAG ceramic lasers with azimuth laser-diode pumping,” Laser Phys. Lett. 6(9), 635–638 (2009).
[CrossRef]

Inoue, T.

Y. Matsuoka, Y. Kizuka, and T. Inoue, “The characteristics of laser micro drilling using a Bessel beam,” Appl. Phys., A Mater. Sci. Process. 84(4), 423–430 (2006).
[CrossRef]

Iturbe-Castillo, M. D.

Kamikariya, K.

Kartashov, Y. V.

Kawakami, M.

Kizuka, Y.

Y. Matsuoka, Y. Kizuka, and T. Inoue, “The characteristics of laser micro drilling using a Bessel beam,” Appl. Phys., A Mater. Sci. Process. 84(4), 423–430 (2006).
[CrossRef]

Kolka, Z.

V. Kollarova, T. Medrik, R. Celechovsky, Z. Bouchal, O. Wilfert, and Z. Kolka, “Application of nondiffracting beams to wireless optical communications,” Proc. SPIE 6736, 67361C, 67361C-9 (2007).
[CrossRef]

Kollarova, V.

V. Kollarova, T. Medrik, R. Celechovsky, Z. Bouchal, O. Wilfert, and Z. Kolka, “Application of nondiffracting beams to wireless optical communications,” Proc. SPIE 6736, 67361C, 67361C-9 (2007).
[CrossRef]

López-Mariscal, C.

Matsuoka, Y.

Y. Matsuoka, Y. Kizuka, and T. Inoue, “The characteristics of laser micro drilling using a Bessel beam,” Appl. Phys., A Mater. Sci. Process. 84(4), 423–430 (2006).
[CrossRef]

McGloin, D.

V. Garce´s-Cha´vez, D. McGloin, M. J. Padgett, W. Dultz, H. Schmitzer, and K. Dholakia,“Observation of the transfer of the local angular momentum density of a multiringed light beam to an optically trapped particle,” Phys. Rev. Lett. 91(9), 093602 (2003).
[CrossRef] [PubMed]

Mcleod, E.

E. Mcleod, AndC. B. Arnold, “Subwavelength direct-write nanopatterning using optically trapped microspheres,” Nat. Nanotechnol. 3(7), 413–417 (2008).
[CrossRef] [PubMed]

Medrik, T.

V. Kollarova, T. Medrik, R. Celechovsky, Z. Bouchal, O. Wilfert, and Z. Kolka, “Application of nondiffracting beams to wireless optical communications,” Proc. SPIE 6736, 67361C, 67361C-9 (2007).
[CrossRef]

Miceli, J.

J. Durnin, J. Miceli, and J. H. Eberly, “Diffraction-free beams,” Phys. Rev. Lett. 58(15), 1499–1501 (1987).
[CrossRef] [PubMed]

Milne, G.

Nanri, K.

Ohtomo, T.

K. Tokunaga, S.-C. Chu, H.-Y. Hsiao, T. Ohtomo, and K. Otsuka, “Spontaneous Mathieu-Gauss mode oscillation in micro-grained Nd:YAG ceramic lasers with azimuth laser-diode pumping,” Laser Phys. Lett. 6(9), 635–638 (2009).
[CrossRef]

T. Ohtomo, K. Kamikariya, K. Otsuka, and S. -C. Chu, “Single-frequency Ince-Gaussian mode operations of laser-diode-pumped microchip solid-state lasers,” Opt. Express 15(17), 10705–10717 (2007).
[CrossRef] [PubMed]

Otsuka, K.

Padgett, M. J.

V. Garce´s-Cha´vez, D. McGloin, M. J. Padgett, W. Dultz, H. Schmitzer, and K. Dholakia,“Observation of the transfer of the local angular momentum density of a multiringed light beam to an optically trapped particle,” Phys. Rev. Lett. 91(9), 093602 (2003).
[CrossRef] [PubMed]

Padovani, C.

F. Gori, G. Guattari, and C. Padovani, “Bessel–Gauss beams,” Opt. Commun. 64(6), 491–495 (1987).
[CrossRef]

Rodríguez-Masegosa, R.

Schmitzer, H.

V. Garce´s-Cha´vez, D. McGloin, M. J. Padgett, W. Dultz, H. Schmitzer, and K. Dholakia,“Observation of the transfer of the local angular momentum density of a multiringed light beam to an optically trapped particle,” Phys. Rev. Lett. 91(9), 093602 (2003).
[CrossRef] [PubMed]

Takeda, S.

Tokunaga, K.

K. Tokunaga, S.-C. Chu, H.-Y. Hsiao, T. Ohtomo, and K. Otsuka, “Spontaneous Mathieu-Gauss mode oscillation in micro-grained Nd:YAG ceramic lasers with azimuth laser-diode pumping,” Laser Phys. Lett. 6(9), 635–638 (2009).
[CrossRef]

Torner, L.

Vysloukh, V. A.

Wang, K.

K. Wang, L. Zeng, and Ch. Yin, “Influence of the incident wave-front on intensity distribution of the nondiffracting beam used in large-scale measurement,” Opt. Commun. 216(1-3), 99–103 (2003).
[CrossRef]

Wilfert, O.

V. Kollarova, T. Medrik, R. Celechovsky, Z. Bouchal, O. Wilfert, and Z. Kolka, “Application of nondiffracting beams to wireless optical communications,” Proc. SPIE 6736, 67361C, 67361C-9 (2007).
[CrossRef]

Yin, Ch.

K. Wang, L. Zeng, and Ch. Yin, “Influence of the incident wave-front on intensity distribution of the nondiffracting beam used in large-scale measurement,” Opt. Commun. 216(1-3), 99–103 (2003).
[CrossRef]

Zeng, L.

K. Wang, L. Zeng, and Ch. Yin, “Influence of the incident wave-front on intensity distribution of the nondiffracting beam used in large-scale measurement,” Opt. Commun. 216(1-3), 99–103 (2003).
[CrossRef]

Appl. Opt. (2)

Appl. Phys., A Mater. Sci. Process. (1)

Y. Matsuoka, Y. Kizuka, and T. Inoue, “The characteristics of laser micro drilling using a Bessel beam,” Appl. Phys., A Mater. Sci. Process. 84(4), 423–430 (2006).
[CrossRef]

J. Opt. Soc. Am. A (4)

Laser Phys. Lett. (1)

K. Tokunaga, S.-C. Chu, H.-Y. Hsiao, T. Ohtomo, and K. Otsuka, “Spontaneous Mathieu-Gauss mode oscillation in micro-grained Nd:YAG ceramic lasers with azimuth laser-diode pumping,” Laser Phys. Lett. 6(9), 635–638 (2009).
[CrossRef]

Nat. Nanotechnol. (1)

E. Mcleod, AndC. B. Arnold, “Subwavelength direct-write nanopatterning using optically trapped microspheres,” Nat. Nanotechnol. 3(7), 413–417 (2008).
[CrossRef] [PubMed]

Opt. Commun. (2)

K. Wang, L. Zeng, and Ch. Yin, “Influence of the incident wave-front on intensity distribution of the nondiffracting beam used in large-scale measurement,” Opt. Commun. 216(1-3), 99–103 (2003).
[CrossRef]

F. Gori, G. Guattari, and C. Padovani, “Bessel–Gauss beams,” Opt. Commun. 64(6), 491–495 (1987).
[CrossRef]

Opt. Express (6)

Opt. Lett. (2)

Phys. Rev. Lett. (2)

J. Durnin, J. Miceli, and J. H. Eberly, “Diffraction-free beams,” Phys. Rev. Lett. 58(15), 1499–1501 (1987).
[CrossRef] [PubMed]

V. Garce´s-Cha´vez, D. McGloin, M. J. Padgett, W. Dultz, H. Schmitzer, and K. Dholakia,“Observation of the transfer of the local angular momentum density of a multiringed light beam to an optically trapped particle,” Phys. Rev. Lett. 91(9), 093602 (2003).
[CrossRef] [PubMed]

Proc. SPIE (1)

V. Kollarova, T. Medrik, R. Celechovsky, Z. Bouchal, O. Wilfert, and Z. Kolka, “Application of nondiffracting beams to wireless optical communications,” Proc. SPIE 6736, 67361C, 67361C-9 (2007).
[CrossRef]

Other (3)

The Language of Technical Computing, See http://www.mathworks.com/ .

J. W. Goodman, Introduction to Fourier Optics (Roberts & Company Publishers, 2004), Chap. 4.

J. W. Goodman, Introduction to Fourier Optics (Roberts & Company Publishers, 2004) pp.97–101.

Supplementary Material (3)

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