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As a result, these liquids may show little gas bubbles during operation and may even turn nally from transparent to a yellow or brown color over time As discussed in the theoretical part, if the coherence length is longer than the interaction length in the material the re ectivity does not depend on the focusing in the bulk material Long or short Rayleigh lengths from focusing will show roughly the same re ectivity as discussed, for example, in Refs 2, 59, and 69 But usually the delity of SBS phase conjugation is better for a stronger focusing This also makes these mirrors more handy because of the shorter geometrical length of the device But very strong focusing is limited by optical damage or other nonlinear processes in the material which are both dependent on higher orders of the power of the intensity.

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Therefore, the focusing has to be adapted to the damage threshold of the material and the onset of the other nonlinear processes Very long Rayleigh lengths (ie, very weak focusing) within the range of meters can cause additional pulse shaping effects from the propagation time of the light inside the SBS material Most prominent in this is pulse compression which can be reached with optical lengths of the SBS material of the order of half the pulse length of the used light In this case, maximum compression values of more than 1:10 can be reached The shortest observed pulses by pulse compression via SBS re ection are in the range of 1 ns or even below [70 75] Competing nonlinear optical processes are self-focusing, self-phase modulation, and stimulated Raman scattering.

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16 V E Yashin, V I Kryzhanovskii, and V A Serebryakov, Reversal of the wavefront of nanosecond and subnanosecond light pulses in stimulated Brillouin scattering, Sov J Quantum Electron 12, 1086 1088 (1982) 17 A A Betin, A F Vasil ev, O V Kulagin, V G Manishin, and V E Yashin, Phase conjugation in nonstationary stimulated Brillouin scattering of focused beams, Sov Phys JETP 62, 468 476 (1985) 18 R H Lehmberg, Numerical study of phase conjugation by stimulated backscatter with pump depletion, Opt Commun 43, 369 374 (1982) 19 I Yu Anikeev, I G Zubarev, and S I Mikhailov, In uence of saturation on the quality of wavefront reversal in the case of stimulated scattering of spatially inhomogeneous pump radiation, Sov J Quantum Electron 16, 88 91 (1986) 20 J J Ottusch and D A Rockwell, Stimulated Brillouin scattering phase-conjugation delity uctuations, Opt Lett 16, 369 371 (1991) 21.

If these processes are activated to a large extent, the delity and the re ectivity of these SBS mirrors can be decreased drastically Another important feature of the phase conjugating SBS mirrors is the frequency shift of the re ected light This frequency shift is characteristic for the material and also a function of the used wavelength of the applied light [Eq (3)] It is usually in the range of a few 100 MHz for liquids and gigahertz for solid materials This frequency shift can cause problems if the re ected light shall be ampli ed in very narrow bandwidth ampli ers which do not cover this frequency shift from the phase conjugating SBS mirror So far, this frequency shift has to be considered in designing the application.

C B Dane, W A Neuman, and L A Hackel, Pulse-shape dependence of stimulatedBrillouin-scattering phase-conjugation delity for high input energies, Opt Lett 17, 1271 1273 (1992) 22 A M Dudov, S B Kormer, S M Kulikov, Vik D Nikolaev, V V Portnyagin, and S A Sukharev, Competition between nonlinear processes in gaseous SF6 as a result of pumping by 2-ns pulses, JETP Lett 33, 347 351 (1981) 23 Personal communication, D A Rockwell, Hughes Research Laboratories, Malibu, CA 24 R St Pierre, H Injeyan, and J Berg, Investigation of SBS phase-conjugation delity uctuations in Freon-113, in Conference on Lasers and Electro-Optics, 1992, Vol 12, OSA Technical Digest Series (Optical Society of America, Washington, DC, 1992), p 180 25 H Yoshida, V Kmetik, H Fujita, M Nakatsuka, T Yamanaka, and K Yoshida, Heavy uorocarbon liquids for a phase-conjugated stimulated Brillouin scattering mirror, Appl Opt 36, 3739 3744 (1997) 26 J M.

FIGURE 1 Validation phases. URS: user requirement speci cation; FRS: functional requirement speci cation; DQ, IQ, OQ, PQ: design, installation, operational, and performance quali cations; SOP: standard operating procedure.

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