This study report a first systematic approach to the selective excitations of all Ince-Gaussian modes (IGMs) in end-pumped solid-state lasers. The proposed Ince-Gaussian mode excitation mechanism is based on the “mode-gain control” concept. This study classifies IGMs into three categories, explores and verifies approach to excite each IGM category using numerical simulation.

© 2007 Optical Society of America

1. M. A. Bandres and JulioC. Gutiérrez-Vega, "Ince-Gaussian beams," Opt. Lett. 29144 (2004). [CrossRef] [PubMed]
2. M. A. Bandres and J. C. Gutiérrez-Vega, "Ince-Gaussian modes of the paraxial wave equation and stable resonators," J. Opt. Soc. Am. A 21, 873 (2004). [CrossRef]
3. MiguelA. Bandres, "Elegant Ince-Gaussian beams," Opt. Lett.  29, 1724-1726, August 2004. [CrossRef] [PubMed]
4. Julio C. Gutiérrez-Vega and Miguel A. Bandres, "Ince-Gaussian beam in quadratic index medium," J. Opt. Soc. Am. A,  22, 306, February 2005. [CrossRef]
5. Miguel A. Bandres and J. C. Gutiérrez-Vega, "Ince-Gaussian series representation of the two-dimensional fractional Fourier transform," Opt. Lett. 30, 540, March 2005. [CrossRef] [PubMed]
6. T. Xu and S. Wang, "Propagation of Ince-Gaussian beams in a thermal lens medium," Opt. Commun. 265,1-5 (2006). [CrossRef]
7. U. T. Schwarz, M. A. Bandres and J. C. Gutiérrez-Vega, "Observation of Ince-Gaussian modes in stable resonators," Opt. Lett. 291870 (2004). [CrossRef] [PubMed]
8. K. Otsuka, K. Nemoto, K. Kamikariya, and S.-C. Chu, "Linearly-polarized, single-frequency oscillations of laser-diode-pumped microchip ceramic Nd:YAG lasers with forced Ince-Gaussian mode operations," Jpn. J. Appl. Phys. 46, 5865 (2007). [CrossRef]
9. 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, 10705 (2007). [CrossRef] [PubMed]
10. The Language of Technical Computing, See http://www.mathworks.com/.
11. M. Endo, M. Kawakami, K. Nanri, S. Takeda and T. Fujioka, "Two-dimensional Simulation of an Unstable Resonator with a Stable Core," Appl. Opt. 38, 3298 (1999). [CrossRef]
12. M. Endo, S. Yamaguchi, T. Uchiyama, and T. Fujioka, "Numerical Simulation of the W-Axicon type Optical Resonator for Coaxial Slab CO2 Lasers," J. Phys. D 34, 68 (2001). [CrossRef]
13. M. Endo, "Numerical simulation of an optical resonator for generation of a doughnut-like laser beam," Opt. Express 12, 1959 (2004).http://www.opticsexpress.org/abstract.cfm?URI=OPEX-12-9-1959 [CrossRef] [PubMed]
14. A. Bhowmik, "Closed-cavity solutions with partially coherent fields in the space-frequency domain," Appl. Opt. 22, 3338 (1983). [CrossRef] [PubMed]
15. J. W. Goodman, Introduction to Fourier Optics (Roberts & Company Publishers, 2004), Chap. 4.
16. J. W. Goodman, Introduction to Fourier Optics (Roberts & Company Publishers, 2004) pp.97-101.
17. A. E. Siegman, Lasers (University Science Books, 1986), pp.295.
18. L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, "Orbital angular momentum of light and the transformation of Laguerre-Gaussian laser modes," Phys. Rev. A 45, 8185 (1992). [CrossRef] [PubMed]
19. 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 (1993). [CrossRef]
20. W. H. Press, A. S. Teukolsky, W. T. Vetterling and B. P. Flannery, NUMERCAL RECIPES in C++ (Cambridge, 2002), Chap. 10.

Appl. Opt.

• A. Bhowmik, "Closed-cavity solutions with partially coherent fields in the space-frequency domain," Appl. Opt. 22, 3338 (1983). [CrossRef] [PubMed]
• M. Endo, M. Kawakami, K. Nanri, S. Takeda and T. Fujioka, "Two-dimensional Simulation of an Unstable Resonator with a Stable Core," Appl. Opt. 38, 3298 (1999). [CrossRef]

J. Opt. Soc. Am. A

• M. A. Bandres and J. C. Gutiérrez-Vega, "Ince-Gaussian modes of the paraxial wave equation and stable resonators," J. Opt. Soc. Am. A 21, 873 (2004). [CrossRef]
• Julio C. Gutiérrez-Vega and Miguel A. Bandres, "Ince-Gaussian beam in quadratic index medium," J. Opt. Soc. Am. A,  22, 306, February 2005. [CrossRef]

J. Phys. D

• M. Endo, S. Yamaguchi, T. Uchiyama, and T. Fujioka, "Numerical Simulation of the W-Axicon type Optical Resonator for Coaxial Slab CO2 Lasers," J. Phys. D 34, 68 (2001). [CrossRef]

Jpn. J. Appl. Phys.

• K. Otsuka, K. Nemoto, K. Kamikariya, and S.-C. Chu, "Linearly-polarized, single-frequency oscillations of laser-diode-pumped microchip ceramic Nd:YAG lasers with forced Ince-Gaussian mode operations," Jpn. J. Appl. Phys. 46, 5865 (2007). [CrossRef]

Opt. Commun.

• T. Xu and S. Wang, "Propagation of Ince-Gaussian beams in a thermal lens medium," Opt. Commun. 265,1-5 (2006). [CrossRef]
• 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 (1993). [CrossRef]

Opt. Express

• 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, 10705 (2007). [CrossRef] [PubMed]
• M. Endo, "Numerical simulation of an optical resonator for generation of a doughnut-like laser beam," Opt. Express 12, 1959 (2004).http://www.opticsexpress.org/abstract.cfm?URI=OPEX-12-9-1959 [CrossRef] [PubMed]

Opt. Lett.

• M. A. Bandres and JulioC. Gutiérrez-Vega, "Ince-Gaussian beams," Opt. Lett. 29144 (2004). [CrossRef] [PubMed]
• U. T. Schwarz, M. A. Bandres and J. C. Gutiérrez-Vega, "Observation of Ince-Gaussian modes in stable resonators," Opt. Lett. 291870 (2004). [CrossRef] [PubMed]
• Miguel A. Bandres and J. C. Gutiérrez-Vega, "Ince-Gaussian series representation of the two-dimensional fractional Fourier transform," Opt. Lett. 30, 540, March 2005. [CrossRef] [PubMed]

Phys. Rev. A

• L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, "Orbital angular momentum of light and the transformation of Laguerre-Gaussian laser modes," Phys. Rev. A 45, 8185 (1992). [CrossRef] [PubMed]

Other

• 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.
• A. E. Siegman, Lasers (University Science Books, 1986), pp.295.
• MiguelA. Bandres, "Elegant Ince-Gaussian beams," Opt. Lett.  29, 1724-1726, August 2004. [CrossRef] [PubMed]
• The Language of Technical Computing, See http://www.mathworks.com/.
• W. H. Press, A. S. Teukolsky, W. T. Vetterling and B. P. Flannery, NUMERCAL RECIPES in C++ (Cambridge, 2002), Chap. 10.

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