Crystallographic heterodyne phase detection for highly sensitive lattice-distortion measurements

Noting the structural similarity between a distorted lattice in a crystal and a spatially phase-modulated fringe pattern in optical metrology, we propose a crystallographic lattice heterodyne technique. The technique detects lattice distortions as spatial phase modulations, where the phase change by 2π corresponds to the displacement of atoms or lattice points by a distance equal to the lattice constant. By virtue of heterodyne detection, the technique has the potential for determining the lattice distortions to several hundredths of the lattice constant.

[1]  Robert W. Harrison,et al.  Phase problem in crystallography , 1993 .

[2]  Rick P. Millane,et al.  Phase problems for periodic images: Effects of support and symmetry , 1993 .

[3]  Mitsuo Takeda,et al.  Spatiotemporal frequency multiplex heterodyne interferometry , 1992 .

[4]  Mark Hedley,et al.  A new two‐dimensional phase unwrapping algorithm for MRI images , 1992, Magnetic resonance in medicine.

[5]  Mitsuo Takeda,et al.  Spatial-carrier fringe-pattern analysis and its applications to precision interferometry and profilometry: An overview , 1990 .

[6]  Rick P. Millane,et al.  Phase retrieval in crystallography and optics , 1990 .

[7]  Jonathan M. Huntley,et al.  High Resolution Moire Photography: Application To Dynamic Stress Analysis , 1989 .

[8]  C. Werner,et al.  Satellite radar interferometry: Two-dimensional phase unwrapping , 1988 .

[9]  F Roddier,et al.  Interferogram analysis using Fourier transform techniques. , 1987, Applied optics.

[10]  M. Takeda,et al.  Computer-based highly sensitive electron-wave interferometry. , 1985, Applied optics.

[11]  M. Takeda,et al.  Fourier transform profilometry for the automatic measurement of 3-D object shapes. , 1983, Applied optics.

[12]  D. Bohm,et al.  Significance of Electromagnetic Potentials in the Quantum Theory , 1959 .

[13]  T. R. Judge,et al.  A review of phase unwrapping techniques in fringe analysis , 1994 .

[14]  J. Schwider,et al.  IV Advanced Evaluation Techniques in Interferometry , 1990 .

[15]  K. Creath V Phase-Measurement Interferometry Techniques , 1988 .

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