Characterization of scattering in an optical Fabry-Perot resonator

Applied Optics

Volumn 46, Issue 22, 2007, Pages 5210-5215

  Klaassen, Thijs ^a   Van Exter, Martin P ^a   Woerdman, J P ^a  

^a LEIDEN UNIVERSITY   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

LIGHT TRANSMISSION; OPTICAL DEVICES;

FABRY-PEROT RESONATORS; SCATTERING AFFECTS;

RESONATORS;

EID: 35448953951     PISSN: 1559128X     EISSN: 15394522     Source Type: Journal    
DOI: 10.1364/AO.46.005210     Document Type: Article

References (24)

1. S. Haroche and D. Kleppner, "Cavity quantum electrodynamics," Phys. Today 42, 24-30 (1989).
2. K. D. Skeldon, J. Mackintosh, M. von Gradowski, S. Thieux, and R. Lee, "Qualification of supermirrors for ring-laser-gyros based on surface roughness and scatter measurements," J. Opt. A 3, 183-187 (2001).
3. http://www.ligo.caltech.edu.
4. http://www.cascina.virgo.infn.it.
5. http://tamago.mtk.nao.ac.jp.
6. C. J. Hood, H. J. Kimble, and J. Ye, "Characterization of high-finesse mirrors: Loss, phase shifts, and mode structure in an optical cavity," Phys. Rev. A 64, 033804 (2001).
7. 6 level at 1064 nm," Opt. Lett. 20, 530-532 (1995).
8. S. Sato, S. Miyoki, M. Ohashi, M. K. Fujimoto, T. Yamazaki, M. Fukushima, A. Ueda, K. Ueda, K. Watanabe, K. Nakamura, K. Etoh, N. Kitajima, K. Ito, and I. Kataoka, "Loss factors of mirrors for a gravitational wave antenna," Appl. Opt. 38, 2880-2885 (1999).
9. K. S. Repasky, L. E. Watson, and J. L. Carlsten, "High-finesse interferometers," Appl. Opt. 34, 2615-2618 (1995).
10. N. Uehara and K. Ueda, "Accurate measurement of the radius of curvature of a concave mirror and the power dependence in a high-finesse Fabry-Perot interferometer," Appl. Opt. 34, 5611-5619 (1995).
11. J. M. Bennett and L. Mattsson, Introduction to Surface Roughness and Scattering (Optical Society of America, 1999).
12. J. C. Stover, Optical Scattering: Measurement and Analysis (SPIE Press, 1995).
13. We did not observe the scattering rings predicted by Amra et al. [14] for dielectric mirrors. Possible reasons could be that the corrugations at the various interfaces of our multilayer mirror are not perfectly correlated or that the optical penetration depth of the incident field is small enough to shift the scattering rings to large angles and out of view.
14. C. Amra, C. Grèzes-Besset, and L. Bruel, "Comparison of surface and bulk scattering in optical multilayers," Appl. Opt. 32, 5492-5503 (1993).
15. E. L. Church, "Fractal surface finish," Appl. Opt. 27, 1518-1526 (1988).
16. We have also tried to measure the surface roughness with a (WYKO RST-500) interferometer [17]. This gave, however, a roughness of only σ = 0.4 nm, which is obviously much smaller compared with the scatter measurement. This discrepancy could originate from various effects. First, the multilayer coating is designed for a wavelength of 532 nm, whereas the WYKO beam profiler works at a wavelength of 633 nm. At this wavelength, the light penetrates the stack of layers much deeper than at 532 nm. Second, the beam profiler illuminates the mirror with a focused beam, whereas in the scatter experiment quasi-plane-wave illumination is used. Third, it is unknown whether the roughness of the consecutive dielectric layers adds up in a coherent or incoherent way. All this makes a comparison of the scattering-deduced surface roughness and the interferometrically deduced value rather difficult.
17. TNO Science and Industry, Business Unit Opto-Mechanical Instrumentation (OMI), Delft, The Netherlands.
18. K. V. Chance and R. J. D. Spurr, "Ring effect studies: Rayleigh scattering, including molecular parameters for rotational Raman scattering, and the Fraunhofer spectrum," Appl. Opt. 36, 5224-5230 (1997).
19. D. Z. Anderson, J. C. Frisch, and C. S. Masser, "Mirror reflectometer based on optical cavity decay time," Appl. Opt. 23, 1238-1245 (1984).
20. A. O'Keefe and D. A. G. Deacon, "Cavity ring-down optical spectrometer for absorption measurements using pulsed laser sources," Rev. Sci. Instrum. 59, 2544-2551 (1988).
21. N. Uehara and K. Ueda, "Accurate measurement of ultralow loss in a high-finesse Fabry-Perot interferometer using the frequency response functions," Appl. Phys. B 61, 9-15 (1995).
22. G. Rempe, R. J. Thompson, H. J. Kimble, and R. Lalezari, "Measurement of ultralow losses in an optical interferometer," Opt. Lett. 17, 363-365 (1992).
23. J. M. Vaughan, Fabry-Perot Interferometer (Adam Hilger, 1989).
24. T. Klaassen, J. de Jong, M. P. van Exter, and J. P. Woerdman, "Transverse mode coupling in an optical resonator," Opt. Lett. 30, 1959-1961 (2005).