Generalized ince Gaussian beams

Proceedings of SPIE - The International Society for Optical Engineering

Volumn 6290, Issue , 2006, Pages

  Bandres, Miguel A ^a   Gutiérrez Vega, Julio C ^b  

^a CALIFORNIA INSTITUTE OF TECHNOLOGY   (United States)

^b SCHOOL OF ENGINEERING AND SCIENCES   (Mexico)

Author keywords

Gaussian beams; Hennite Gaussian; Ince Gaussian; Laguerre Gaussian; Paraxial wave equation

Indexed keywords

GAUSSIAN BEAMS; HENNITE-GAUSSIAN; HERMITIAN OPERATORS; INCE-GAUSSIAN; PARAXIAL WAVE EQUATIONS;

EIGENVALUES AND EIGENFUNCTIONS; FOURIER TRANSFORMS; LASER BEAMS; MATHEMATICAL OPERATORS; WAVE EQUATIONS;

OPTICAL BEAM SPLITTERS;

EID: 33750490428     PISSN: 0277786X     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1117/12.681505     Document Type: Conference Paper

References (13)

1. A. E. Siegman, J. Opt. Soc. Am. 63, 1093 (1973).
2. M. A. Bandres and J. C. Gutiérrez-Vega, "Ince-Gaussian beams," Opt. Lett. 29, 144-146 (2004).
3. 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, 873-880 (2004).
4. M. A. Bandres, Opt. Lett. 29, "Elegant Ince-Gaussian beams," 1724-1726 (2004).
5. U. T. Schwarz, M. A. Bandres and J. G. Gutiérrez-Vega, "Observation of Ince-Gaussian modes in stable resonators," Opt. Lett. 29, 1870-1872 (2004).
6. R. Pratesi and L. Ronchi, "Generalized Gaussian beams in free space," J. Opt. Soc. Am. 67, 1274-1276 (1977).
7. A. Wunsche, "Generalized Gaussian beam solutions of paraxial optics and their connection to a hidden symmetry," J. Opt. Soc. Am. A. 6, 1320-1329 (1989).
8. E. G. Ince, "A linear differential equation with periodic coefficients," Proc. Lond. Math. Soc. 23, 56-74 (1923).
9. F. M. Arscott, Periodic differential equations, (Pergamon Press, Oxford, 1964).
10. F. M. Arscott, "The Whittaker-Hill equation and the wave equation in paraboloidal coordinates," Proc. Roy. Soc. Edinburg. A67, 265-276 (1967).
11. C. P. Boyer, E. G. Kalnins, and W. Miller Jr., "Lie theory and separation of variables. 7. The harmonic oscillator in ellipic coordinates and the Ince polynomials," J. Math. Phys. 16, 512-523 (1975).
12. I. Kimel and L. R. Elías, "Relations between Hermite and Laguerre Gaussian modes," IEEE J. Quant. Electron. 29, 2562-2567 (1993).
13. M. Abramowitz, and I.A. Stegun, Handbook of Mathematical Functions (Dover, New York, 1964) Ch. 19.