Decentered elliptical Hermite-Gaussian beam

Journal of the Optical Society of America A: Optics and Image Science, and Vision

Volumn 20, Issue 6, 2003, Pages 1111-1119

  Cai, Yangjian ^a   Lin, Qiang ^a  

^a ZHEJIANG UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

INTEGRATION; LASER MODES; LIGHT PROPAGATION; POLYNOMIALS; VECTORS;

POLYNOMIAL EXPANSION;

LASER BEAMS;

EID: 0041573259     PISSN: 10847529     EISSN: None     Source Type: Journal    
DOI: 10.1364/JOSAA.20.001111     Document Type: Article

References (32)

1. A. E. Siegman, "Hermite-gaussian functions of complex argument as optical-beam eigenfunctions," J. Opt. Soc. Am. 63, 1093-1094 (1973).
2. W. H. Carter, "Spot size and divergence for Hermite Gaussian beams of any order," Appl. Opt. 19, 1027-1029 (1980).
3. P. A. Belanger, "Packetlike solutions of the homogeneous-wave equation," J. Opt. Soc. Am. A 1, 723-724 (1984).
4. V. N. Smirnov and G. A. Strokovskii, "On diffraction of optical Hermite-Gaussian beams from a diaphragm," Opt. Spectrosc. 76, 912-919 (1994).
5. E. Zauderer, "Complex argument Hermite-Gaussian and Laguerre-Gaussian beams," J. Opt. Soc. Am. A 3, 465-469 (1986).
6. 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).
7. S. Saghafi, C. J. R. Sheppard, and J. A. Piper, "Characterising elegant and standard Hermite-Gaussian beam modes," Opt. Commun. 191, 173-179 (2001).
8. A. A. Tovar and L. W. Casperson, "Production and propagation of Hermite-sinusoidal-Gaussian laser beams," J. Opt. Soc. Am. A 15, 2425-2432 (1998).
9. H. Laabs, C. Gao, and H. Weber, "Twisting to three-dimensional Hermite-Gaussian beams," J. Mod. Opt. 46, 709-719 (1999).
10. Y. Cai and Q. Lin, "The elliptical Hermite-Gaussian beam and its propagation through paraxial systems," Opt. Commun. 207, 139-147 (2002).
11. L. W. Casperson, "Gaussian light beams in inhomogeneous media, " Appl. Opt. 12, 2423-2441 (1973).
12. A. R. Al-Rashed and B. E. A. Saleh, "Decentered Gaussian beams," Appl. Opt. 34, 6819-6825 (1995).
13. C. Palma, "Decentered Gaussian beams, ray bundles, and Bessel Gauss beams," Appl. Opt. 36, 1116-1120 (1997).
14. B. Lü and H. Ma, "Coherent and incoherent combinations of off-axis Gaussian beams with rectangular symmetry," Opt. Commun. 171, 185-194 (1999).
15. B. Lü and H. Ma, "Coherent and incoherent off-axis Hermite-Gaussian beam combinations," Appl. Opt. 39, 1279-1289 (2000).
16. M. L. Luis, M. Y. Omel, and J. J. D. Joris, "Incoherent superposition of off-axis polychromatic Hermite-Gaussian modes," J. Opt. Soc. Am. A 19, 1572-1582 (2002).
17. P. J. Cronin, P. Török, P. Varga, and C. Cogswell, "High-aperture diffraction of a scalar, off-axis Gaussian beam," J. Opt. Soc. Am. A 17, 1556-1564 (2000).
18. J. A. Arnaud and H. Kogelnik, "Gaussian light beams with general astigmatism," Appl. Opt. 8, 1687-1693 (1969).
19. W. H. Carter, "Electromagnetic field of a Gaussian beam with an elliptical cross section," J. Opt. Soc. Am. 62, 1195-1201 (1972).
20. Q. Lin and Y Cai, "Decentered elliptical Gaussian beam," Appl. Opt. 41, 4336-4340 (2002).
21. Q. Lin, S. Wang, J. Alda, and E. Bernabeu, "Transformation of non-symmetric Gaussian beam into symmetric one by means of tensor ABCD law," Optik (Stuttgart) 85, 67-72 (1990).
22. J. Alda, S. Wang, and E. Bernabeu, "Analytical expression for the complex radius of curvature tensor Q for generalized Gaussian beams," Opt. Commun. 80, 350-352 (1991).
23. P. Baues, "Huygens' principle in homogeneous, isotropic media and a general integral equation applicable to optical resonators," Opto-electronics 1, 37-44 (1969).
24. 2 laser arrays," IEEE J. Quantum Electron. 32, 340-349 (1996).
25. H. J. Baker, D. R. Hall, A. M. Hornby, R. J. Morley, M. R. Taghizadeh, and E. F. Yelden, "Propagation characteristics of coherent array beam from carbon dioxide waveguide lasers," IEEE J. Quantum Electron. 32, 400-407 (1996).
26. W. D. Bilida, J. D. Strohschein, and H. J. J. Seguin, "High-power 24-channel radial array slab rf-excited carbon dioxide laser," in Gas and Chemical Lasers and Applications II, R. C. Sze and E. A. Dorko, eds., Proc. SPIE 2987, 13-21 (1997).
27. J. D. Strohschein, H. J. J. Seguin, and C. E. Capjack, "Beam propagation constants for a radial laser array," Appl. Opt. 37, 1045-1048 (1998).
28. B. Lü and H. Ma, "Beam propagation properties of radial lasers arrays," J. Opt. Soc. Am. A 17, 2005-2009 (2000).
29. B. Lü and H. Ma, "Beam combination of a radial laser array: Hermite-Gaussian model," Opt. Commun. 15, 395-403 (2000).
30. F. Gori, M. Santarsiero, R. Borghi, and G. Guattari, "Intensity-based model analysis of partially coherent beams with Hermite-Gaussian modes," Opt. Lett. 23, 989-991 (1998).
31. F. Gori, "Flattened Gaussian beams," Opt. Commun. 107, 335-341 (1994).
32. V. Bagini, R. Borghi, F. Gori, A. M. Pacileo, and M. Santarsiero, "Propagation of axially symmetric flattened Gaussian beams," J. Opt. Soc. Am. A 13, 1385-1394 (1996).