Verification 4b
input values: n1= 1, n3= 1.5+0.5i, numsteps: 11, incident angle: 55 (deg), sweep_range: + / - 15 deg,
d (RMS surface height):30 nm, wavelength: 1047 nm
Comments:
* Two sets of values are given for each of ro_perp and ro_para: one for an ideal smooth surface, and one for the rough surface.
* Roughness calculations use Kirchoff approximation, which holds only if wavelength >> d, surface slopes are small, and beam illumination is perpendicular to grooves and covers a large number of grooves relative to wavelength.
* For roughness calculations, model in Ref [2] further assumes (i) surface should be dieletric and (ii) air is the incident medium.
References:
[1] M. Born and E. Wolf, "Principles of Optics," 7th Ed, Cambridge University Press, 2005, Chapter 14, section 2,
[2] J. A. Sanchez-Gil, A. A. Maradudin, and E. R. Mendez "Limits of validity of three perturbation theories of the specular scattering of light from one-dimensional, randomly rough, dielectric surfaces, "J. Opt. Soc. Am. A V. 12, No. 7, pp. 1547-1558.
Incident angle (deg) ro_perp(smooth) ro_para(smooth) ro_perp(rough) ro_para(rough) delta_phase_perp(smooth) delta_phase_para(smooth)
40.0 0.36988 0.18536 0.34278 0.17178 -2.65884 0.78457
43.0 0.38642 0.16973 0.36053 0.15836 -2.67645 0.84886
46.0 0.40481 0.15320 0.38026 0.14391 -2.69564 0.93837
49.0 0.42522 0.13654 0.40214 0.12913 -2.71644 1.06612
52.0 0.44778 0.12140 0.42631 0.11558 -2.73886 1.25106
55.0 0.47268 0.11094 0.45294 0.10631 -2.76292 1.51218
58.0 0.50008 0.11007 0.48220 0.10613 -2.78859 1.84219
61.0 0.53018 0.12327 0.51426 0.11957 -2.81586 2.17983
64.0 0.56315 0.15154 0.54930 0.14781 -2.84466 2.45624
67.0 0.59922 0.19332 0.58747 0.18953 -2.87494 2.65487
70.0 0.63857 0.24722 0.62896 0.24350 -2.90658 2.79268
v 78
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Verification rev history:
May/2007: first release
May/2013: rev b: added roughness calculation.

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