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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 37, Iss. 33 — Nov. 20, 1998
  • pp: 7772–7784

Dependence of birefringence and residual stress near laser-induced cracks in fused silica on laser fluence and on laser-pulse number

Faiz Dahmani, Ansgar W. Schmid, John C. Lambropoulos, and Stephen Burns  »View Author Affiliations


Applied Optics, Vol. 37, Issue 33, pp. 7772-7784 (1998)
http://dx.doi.org/10.1364/AO.37.007772


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Abstract

Measurements of birefringence induced in fused-silica specimens by a crack produced by a 351-nm/500-ps Nd:glass laser as a function of laser fluence F L and of number of laser shots N are presented. The varying dimensional parameter is found to be the crack depth a and can be put in the form a(mm) = (0.0096 ± 0.0021)N[(F L /Fexit/th) - 1]2/3 with F L Fexit/th(Fexit/th is the exit-surface damage threshold). The retardance data are converted into units of stress, thus permitting the estimation of residual stress near the crack. The results of the measured residual stress can be cast in the form σ r (MPa) ≈ (0.0386 ± 0.0051)[(F L /Fexit/th) - 1]1/2 N2/3 with F L Fexit/th. A theoretical model giving the stress field around a crack is developed for comparison and shows reasonable agreement with the experiment. Good agreement with experimental data of others is also obtained. The effect of residual stresses on fracture strength is pointed out. The results obtained show that the presence of birefringence/residual stress in a fused-silica specimen with a crack on its surface has a strong effect on fracture and should be taken into account in any formulation that involves the failure strength of optical components used in inertial-confinement-fusion experiments.

© 1998 Optical Society of America

OCIS Codes
(140.3330) Lasers and laser optics : Laser damage
(160.4670) Materials : Optical materials
(260.1440) Physical optics : Birefringence
(350.1820) Other areas of optics : Damage
(350.3390) Other areas of optics : Laser materials processing
(350.4600) Other areas of optics : Optical engineering

History
Original Manuscript: February 23, 1998
Revised Manuscript: July 13, 1998
Published: November 20, 1998

Citation
Faiz Dahmani, Ansgar W. Schmid, John C. Lambropoulos, and Stephen Burns, "Dependence of birefringence and residual stress near laser-induced cracks in fused silica on laser fluence and on laser-pulse number," Appl. Opt. 37, 7772-7784 (1998)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-37-33-7772


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References

  1. J. H. Campbell, P. A. Hurst, D. D. Heggins, W. A. Steele, S. E. Bumpas, “Laser-induced damage and fracture in fused silica vacuum windows,” in Laser-Induced Damage in Optical Materials: 1996, H. E. Bennett, A. H. Guenther, M. R. Kozlowski, B. E. Newnam, M. J. Soileau, eds. (Proc. SPIE2966, 106–125 (1997). [CrossRef]
  2. J. H. Campbell, G. J. Edwards, J. E. Marion, “Damage and fracture in large aperture, fused silica, vacuum spatial filter lenses,” in Solid State Lasers for Application to Inertial Confinement Fusion, M. André, H. T. Powell, eds., Proc. SPIE2633, 522–534 (1995). [CrossRef]
  3. Y. Z. Li, M. P. Harmer, Y. T. Chou, “Fracture behavior of fused quartz with laser-induced internal flaws,” J. Mater. Res. 9, 1780–1788 (1994). [CrossRef]
  4. F. Dahmani, J. C. Lambropoulos, A. W. Schmid, S. Burns, S. Papernov, “Fracture of fused silica with 351-nm-laser-generated surface cracks,” J. Mater. Res. (to be published).
  5. D. Albagli, M. Dark, L. T. Perelman, C. von Rosenberg, I. Itzkan, M. S. Feld, “Photomechanical basis of laser ablation of biological tissue,” Opt. Lett. 19, 1684–1686 (1994). [CrossRef] [PubMed]
  6. E. R. Cochran, C. Ai, “Interferometric stress birefringence measurement,” Appl. Opt. 31, 6702–6706 (1992). [CrossRef] [PubMed]
  7. K. Bhattacharya, A. Basuray, A. K. Chakraborty, “Photoelastic testing using a birefringence-sensitive interferometer,” Opt. Commun. 109, 380–386 (1994). [CrossRef]
  8. J. E. Hayden, S. D. Jacobs, “Automated spatially scanning ellipsometer for retardation measurements of transparent materials,” Appl. Opt. 32, 6256–6262 (1993). [CrossRef] [PubMed]
  9. J. E. Logan, N. A. Robertson, J. Hough, “Measurements of birefringence in a suspended sample of fused silica,” Opt. Commun. 107, 342–346 (1994). [CrossRef]
  10. K. Tanaka, T. Mura, “A theory of fatigue crack initiation at inclusions,” Metall. Trans. A 13A, 117–123 (1982).
  11. K. F. Graff, Wave Motion in Elastic Solids (Ohio State U. Press, Columbus, Ohio, 1975).
  12. Fused silica 7940 data sheet (6/1993), Corning Incorporated, Advanced Materials Department, Corning, N.Y. 14831.
  13. A. Kuske, G. Robertson, Photoelastic Stress Analysis (Wiley, London, 1974).
  14. R. S. Taylor, K. E. Leopold, R. K. Brimacombe, S. Mihailov, “Dependence of the damage and transmission properties of fused silica fibers on the excimer laser wavelength,” Appl. Opt. 27, 3124–3134 (1988). [CrossRef] [PubMed]
  15. M. D. Crisp, N. L. Boling, G. Dubé, “Importance of Fresnel reflections in laser surface damage of transparent dielectrics,” Appl. Phys. Lett. 21, 364–366 (1972). [CrossRef]
  16. M. D. Crisp, “Some aspects of surface damage that can be explained with linear optics,” in Laser Induced Damage in Optical Materials: 1973, Natl. Bur. Stand. (U.S.), Spec. Publ.387, 80–83 (1973).
  17. D. Albagli, J. A. Izatt, G. B. Hayes, B. Banish, G. S. Janes, I. Itzkan, M. Feld, “Time dependence of laser-induced surface breakdown in fused silica at 355 nm in the nanosecond regime,” in Laser-Induced Damage in Optical Materials: 1990, H. E. Bennett, L. L. Chase, A. H. Guenther, B. E. Newnam, M. J. Soileau, eds., Proc. SPIE1441, 146–153 (1991). [CrossRef]
  18. J. C. Newman, I. S. Raju, “An empirical stress-intensity factor equation for the surface crack,” Eng. Fract. Mech. 15, 185–192 (1981). [CrossRef]
  19. N. Ingelstrom, H. Nordberg, “The fracture toughness of cemented tungsten carbides,” Eng. Fract. Mech. 6, 597–607 (1974). [CrossRef]
  20. D. Broek, Elementary Engineering Fracture Mechanics, 3rd rev. ed. (Nijhoff, The Hague, 1982), Chap. 3. [CrossRef]
  21. T. Mura, Micromechanics of Defects in Solids, 2nd rev. ed. (Nijhoff, Dordrecht, The Netherlands, 1987). [CrossRef]
  22. J. D. Eshelby, “Elastic inclusions and inhomogeneities,” in Progress in Solid Mechanics, I. N. Sneddon, R. Hill, eds. (North-Holland, Amsterdam, 1961), Vol. II, pp. 89–140.
  23. P. W. Bridgman, I. Simon, “Effects of very high pressures on glass,” J. Appl. Phys. 24, 405–413 (1953). [CrossRef]
  24. H. M. Cohen, R. Roy, “Densification of glass at very high pressure,” Phys. Chem. Glasses 6, 149–161 (1965).
  25. C. Meade, R. Jeanloz, “Frequency-dependent equation of state of fused silica to 10 GPa,” Phys. Rev. B 35, 236–244 (1987). [CrossRef]
  26. H. Yokota, H. Sakata, M. Nishibori, K. Kinosita, “Ellipsometric study of polished glass surfaces,” Surf. Sci. 16, 265–274 (1969). [CrossRef]
  27. M. Malin, K. Vedam, “Ellipsometric studies of environment-sensitive polish layers of glass,” J. Appl. Phys. 48, 1155–1157 (1977). [CrossRef]
  28. J. C. Lambropoulos, S. Xu, T. Fang, “Constitutive law for the densification of fused silica, with applications in polishing and microgrinding,” J. Am. Ceram. Soc. 79, 1441–1452 (1996). [CrossRef]
  29. P. J. Dwivedi, D. J. Green, “Determination of subcritical crack growth parameters by in situ observation of indentation cracks,” J. Am. Ceram. Soc. 78, 2122–2128 (1995). [CrossRef]
  30. B. Lawn, Fracture of Brittle Solids, 2nd ed., Cambridge Solid State Science Series, (Cambridge U. Press, Cambridge, UK, 1993), Chap. 2. [CrossRef]
  31. D. H. Roach, A. R. Cooper, “Effect of contact residual stress relaxation of fracture strength of indented soda-lime glass,” J. Am. Ceram. Soc. 68, 632–636 (1985). [CrossRef]

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