Out-of-plane ellipsometry measurements of nanoparticles on surfaces for thin film coated wafer inspection

Measurements of the diameter and size distribution of nanoparticles on wafers are critical parameters in the semiconductor industry, essential to control transistor quality and increase production rate. A goniometric optical scatter instrument (GOSI) has been developed that employs polarized light scattering to make measurements of the diameter and size distribution of nanoparticles on bare and thin film coated wafers. This scatter instrument is capable of distinguishing various types of optical scattering characteristics, which correspond to the diameters of the nanoparticles and thin film thickness, on or near the surfaces using the Mueller matrix calculation in Bobbert and Vlieger (1986) [1]. The experimental results of the GOSI system show good agreement with theoretical predictions for nanoparticles of diameter 100, 200, and 300 nm on wafers coated with thin films of 2, 5, and 10 nm thickness. These results demonstrate that the polarization of light scattered by nanoparticles can be used to determine the size of particulate contaminants on bare and thin film coated silicon wafers.

[1]  M. Hartmann,et al.  Light scattering by small particles. Von H. C. VANDE HULST. New York: Dover Publications, Inc. 1981. Paperback, 470 S., 103 Abb. und 46 Tab., US $ 7.50 , 1984 .

[2]  J. Vlieger,et al.  Light scattering by a sphere on a substrate , 1986 .

[3]  W L Wolfe,et al.  Light-scattering models for spheres on a conducting plane: comparison with experiment. , 1987, Applied optics.

[4]  William S. Bickel,et al.  Stokes vectors, Mueller matrices, and polarized scattered light , 1985 .

[5]  J. Stover Optical Scattering: Measurement and Analysis , 1990 .

[6]  R. Xu Particle Characterization: Light Scattering Methods , 2000 .

[7]  B. R. Johnson Calculation of light scattering from a spherical particle on a surface by the multipole expansion method , 1995 .

[8]  H. V. Hulst Light Scattering by Small Particles , 1957 .

[9]  T A Germer,et al.  Polarization of out-of-plane scattering from microrough silicon. , 1997, Optics letters.

[10]  T. Germer,et al.  Angular dependence and polarization of out-of-plane optical scattering from particulate contamination, subsurface defects, and surface microroughness. , 1997, Applied optics.

[11]  G. Mulholland,et al.  Polarized light-scattering measurements of dielectric spheres upon a silicon surface. , 1999, Optics letters.

[12]  Thomas A. Germer,et al.  Goniometric Optical Scatter Instrument for Out-of-Plane Ellipsometry Measurements , 1999 .

[13]  Thomas A. Germer,et al.  Polarization of light scattered by particles on silicon wafers , 1999, Photonics West.

[14]  R. Azzam,et al.  Photopolarimetric measurement of the Mueller matrix by Fourier analysis of a single detected signal. , 1978, Optics letters.

[15]  Russell A. Chipman,et al.  Error analysis of a Mueller matrix polarimeter , 1990 .

[16]  G. Videen,et al.  Light scattering Mueller matrix for a surface contaminated by a single particle in the Rayleigh limit , 1992 .

[17]  Q. Fu,et al.  Finite-difference time-domain solution of light scattering by dielectric particles with a perfectly matched layer absorbing boundary condition. , 1999, Applied optics.

[18]  Gorden Videen,et al.  Light scattering from a sphere on or near a surface , 1991 .

[19]  Gorden Videen,et al.  Light scattering from a cylinder near a plane interface: theory and comparison with experimental data , 1997 .

[20]  R. T. Wang,et al.  Electromagnetic scattering from two dielectric spheres: further comparisons between theory and experiment. , 1986, Applied optics.