New feasibilities for characterizing rough surfaces by optical-correlation techniques

Phase Variance Magnitudes σ_φ0 ² for Fractal and Nonfractal Surfaces Found from Height Distributions h and Measured Far-Field Coherence Function cf for Various Maximal Height Spans of Surface Irregularities and Power Nonlinearities

Note: 0, without nonlinearities; 1R - k = 0.5 (single square root); 1S - k = 2 (single squared); 2R, k = 0.25 (double square root); 2S - k = 4 (double squared).

Computed and Measured Fractal Dimensions of Surface Relief Found through the Triangular Prism Technique D_f ^t, through Analysis of the Surface Profile D _f^p, and through Fourier Transformation of the Measured Correlation Function of the Relief D_f ^c

Table 1

Phase Variance Magnitudes σ_φ0 ² for Fractal and Nonfractal Surfaces Found from Height Distributions h and Measured Far-Field Coherence Function cf for Various Maximal Height Spans of Surface Irregularities and Power Nonlinearities

Note: 0, without nonlinearities; 1R - k = 0.5 (single square root); 1S - k = 2 (single squared); 2R, k = 0.25 (double square root); 2S - k = 4 (double squared).

Table 2

Computed and Measured Fractal Dimensions of Surface Relief Found through the Triangular Prism Technique D_f ^t, through Analysis of the Surface Profile D _f^p, and through Fourier Transformation of the Measured Correlation Function of the Relief D_f ^c