Full-field measurement of nonuniform stresses of thin films at high temperature.

Coherent gradient sensing (CGS), a shear interferometry method, is developed to measure the full-field curvatures of a film/substrate system at high temperature. We obtain the relationship between an interferogram phase and specimen topography, accounting for temperature effect. The self-interference of CGS combined with designed setup can reduce the air effect. The full-field phases can be extracted by fast Fourier transform. Both nonuniform thin-film stresses and interfacial stresses are obtained by the extended Stoney's formula. The evolution of thermo-stresses verifies the feasibility of the proposed interferometry method and implies the "nonlocal" effect featured by the experimental results.

[1]  A. Rosakis,et al.  Measurement of full-field curvature and geometrical instability of thin film-substrate systems through CGS interferometry , 2003 .

[2]  Brian W. Sheldon,et al.  Monitoring Stress in Thin Films During Processing , 2003 .

[3]  L. C. Aamodt,et al.  Photothermal spectroscopy using optical beam probing: Mirage effect , 1980 .

[4]  A. Rosakis,et al.  Thin film/substrate systems featuring arbitrary film thickness and misfit strain distributions. Part II: Experimental validation of the non-local stress/curvature relations , 2007 .

[5]  A. J. Rosakisb,et al.  Extension of Stoney ’ s formula to non-uniform temperature distributions in thin film / substrate systems . The case of radial symmetry , 2005 .

[6]  A. Rosakis,et al.  Stresses in a Multilayer Thin Film/Substrate System Subjected to Nonuniform Temperature , 2008 .

[7]  M. Takeda,et al.  Fourier-transform method of fringe-pattern analysis for computer-based topography and interferometry , 1982 .

[8]  Ares J. Rosakis,et al.  Full Field Measurements of Curvature using Coherent Gradient Sensing: Application to Thin Film Characterization , 1997 .

[9]  Y. Y. Hung Shearography for non-destructive evaluation of composite structures , 1996 .

[10]  A. Rosakis,et al.  of Mechanics of Materials and Structures THE EFFECT OF THIN FILM / SUBSTRATE RADII ON THE STONEY FORMULA FOR THIN FILM / SUBSTRATE SUBJECTED TO NONUNIFORM AXISYMMETRIC MISFIT STRAIN AND TEMPERATURE , 2007 .

[11]  P. Flinn,et al.  Measurement and Interpretation of stress in aluminum-based metallization as a function of thermal history , 1987, IEEE Transactions on Electron Devices.

[12]  A. Rosakis,et al.  Extension of Stoney's formula to non-uniform temperature distributions in thin film/substrate systems. the case of radial symmetry , 2005 .

[13]  Subra Suresh,et al.  Effects of line and passivation geometry on curvature evolution during processing and thermal cycling in copper interconnect lines , 2000 .

[14]  L. B. Freund,et al.  Substrate curvature due to thin film mismatch strain in the nonlinear deformation range , 2000 .

[15]  G. Stoney The Tension of Metallic Films Deposited by Electrolysis , 1909 .

[16]  L. B. Freund,et al.  Extensions of the Stoney formula for substrate curvature to configurations with thin substrates or large deformations , 1999 .

[17]  N. Tamura,et al.  A Comparison of X-Ray Microdiffraction and Coherent Gradient Sensing in Measuring Discontinuous Curvatures in Thin Film: Substrate Systems , 2006 .

[18]  H. Tippur Coherent gradient sensing: a Fourier optics analysis and applications to fracture. , 1992, Applied optics.

[19]  Ares J. Rosakis,et al.  A coherent gradient sensor for crack tip deformation measurements: analysis and experimental results , 1991 .

[20]  Ares J. Rosakis,et al.  Thin film/substrate systems featuring arbitrary film thickness and misfit strain distributions. Part I: Analysis for obtaining film stress from non-local curvature information , 2007 .

[21]  J. Bilello,et al.  Non-destructive evaluation of residual stresses in thin films via x-ray diffraction topography methods , 1991 .