Evaluation of the modal structure of light beams composed of incoherent mixtures of Hermite–Gaussian modes

Applied Optics

Volumn 38, Issue 25, 1999, Pages 5272-5281

  Santarsiero, Massimo ^a   Gori, Franco ^a   Borghi, Riccardo ^a   Guattari, Giorgio ^a  

^a INFM   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000450175     PISSN: 1559128X     EISSN: 21553165     Source Type: Journal    
DOI: 10.1364/AO.38.005272     Document Type: Article

References (36)

1. A. E. Siegman, Lasers (University Science, Mill Valley, Calif., 1986).
2. E. Wolf and G. S. Agarwal, “Coherence theory of laser resonator modes,” J. Opt. Soc. Am. A 1, 541-546 (1984).
3. J. Turunen, E. Tervonen, and A. T. Friberg, “Coherence theoretic algorithm to determine the transverse-mode structure of lasers,” Opt. Lett. 14, 627-629 (1989).
4. E. Tervonen, J. Turunen, and A. T. Friberg, “Transverse lasermode structure determination from spatial coherence measurements: experimental results,” Appl. Phys. B 49, 409-414 (1989).
5. B. Lu, B. Zhang, B. Cai, and C. Yang, “A simple method for estimating the number of effectively oscillating modes and weighting factors of mixed-mode laser beams behaving like Gaussian-Schell model beams,” Opt. Commun. 101, 49-52 (1993).
6. A. E. Siegman and S. W. Townsend, “Output beam propagation and beam quality from a multimode stable-cavity laser,” IEEE J. Quantum Electron. 29, 1212-1217 (1993).
7. A. Cutolo, T. Isernia, I. Izzo, R. Pierri, and L. Zeni, “Transverse-mode analysis of a laser beam by near- and far-field intensity measurements,” Appl. Opt. 34, 7974-7978 (1995).
8. R. Borghi and M. Santarsiero, “Modal decomposition of partially coherent flat-topped beams produced by multimode lasers,” Opt. Lett. 23, 313-315 (1998).
9. F. Gori, M. Santarsiero, and G. Guattari, “Coherence and space distribution of intensity,” J. Opt. Soc. Am. A 10, 673-679 (1993).
10. M. G. Raymer, M. Beck, and D. F. McAlister, “Complex wave-field reconstruction using phase-space tomography,” Phys. Rev. Lett. 72, 1137-1140 (1994).
11. T. E. Gureyev, A. Roberts, and K. A. Nugent, “Partially coherent fields, the transport-of-intensity equation, and phase uniqueness,” J. Opt. Soc. Am. A 12, 1942-1946 (1995).
12. R. Gase, T. Gase, and K. Bluthner, “Complex wave-field reconstruction by means of the Page distribution function,” Opt. Lett. 20, 2045-2047 (1995).
13. G. Iaconis and I. A. Walmsley, “Direct measurement of the two-point field correlation function,” Opt. Lett. 21, 1783-1785 (1996).
14. J. Tu and S. Tamura, “Analytic relation for recovering the mutual intensity by means of intensity information,” J. Opt. Soc. Am. A 15, 202-206 (1998).
15. F. Gori, “Shape-invariant propagation of the cross-spectral density,” in Coherence and Quantum Optics, L. Mandel and E. Wolf, eds. (Plenum, New York, 1984), p. 363.
16. F. Gori, M. Santarsiero, R. Borghi, and G. Guattari, “Intensity-based modal analysis for partially coherent beams with Hermite-Gaussian modes,” Opt. Lett. 23, 989-991 (1998).
17. M. Abramowitz and I. Stegun, Handbook of Mathematical Functions (Dover, New York, 1972).
18. L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge U. Press, Cambridge, 1995).
19. E. Collett and E. Wolf, “Is complete coherence necessary for the generation of highly directional light beams?” Opt. Lett. 2, 27-29 (1978).
20. P. Spano, “Connection between spatial coherence and modal structure in optical fibers and semiconductors lasers,” Opt. Commun. 33, 265-270 (1980).
21. E. G. Johnson, Jr., “Direct measurements of the spatial mode of a laser pulse: theory,” Appl. Opt. 25, 2967-2975 (1986).
22. A. T. Friberg, E. Tervonen, and J. Turunen, “Interpretation and experimental demonstration of twisted Gaussian Schell-model beams,” J. Opt. Soc. Am. A 11, 1818-1826 (1994).
23. I. S. Gradshtein and I. M. Ryzhik, Table of Integrals, Series and Products (Academic, New York, 1980).
24. F. Gori, “Collett-Wolf sources and multimode lasers,” Opt. Commun. 34, 301-305 (1980).
25. A. Starikov and E. Wolf, “Coherent-mode representation of Gaussian Schell-model sources and of their radiation fields,” J. Opt. Soc. Am. A 72, 923-928 (1982).
26. S. De Silvestri, P. Laporta, V. Magni, and O. Svelto, “Solid-state laser unstable resonators with tapered reflectivity mirrors: The super-Gaussian approach,” IEEE J. Quantum Electron. 24, 1172-1177 (1988).
27. F. Gori, “Flattened Gaussian beams,” Opt. Commun. 107, 335-341 (1994).
28. C. J. R. Sheppard and S. Saghafi, “Flattened light beams,” Opt. Commun. 132, 144-152 (1996).
29. V. Bagini, R. Borghi, F. Gori, A. M. Pacileo, M. Santarsiero, D. Ambrosini, and G. Schirripa Spagnolo, “Propagation of axially symmetric flattened Gaussian beams,” J. Opt. Soc. Am. A 13, 1385-1394 (1996).
30. M. Santarsiero, D. Aiello, R. Borghi, and S. Vicalvi, “Focusing of axially symmetric flattened Gaussian beams,” J. Mod. Opt. 44, 633-650 (1997).
31. R. Borghi, M. Santarsiero, and S. Vicalvi, “Focal shift of focused flat-topped beams,” Opt. Commun. 154, 243-248 (1998).
32. A. Papoulis, Probability, Random Variables, and Stochastic Processes (McGraw-Hill, New York, 1965).
33. R. Borghi and M. Santarsiero, “Modal structure analysis for a class of axially symmetric flat-topped laser beams,” IEEE J. Quantum Electron. 35, 745-750 (1999).
34. R. N. Bracewell, The Fourier Transform and its Applications, 2nd ed., revised (McGraw-Hill, New York, 1986).
35. A. P. Prudnikov, Yu. A. Brychkov, and O. I. Marichev, Integrals and Series (Gordon, New York, 1986), Vol. 1.
36. A. P. Prudnikov, Yu. A. Brychkov, and O. I. Marichev, Integrals and Series (Gordon, New York, 1986), Vol. 2.