Fresnel at oblique incidence; Brewster zero; s = p at normal

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Reference
Fresnel at oblique incidence; Brewster zero; s = p at normal
Kind
analytic: a closed form, limit or conservation law: independent of any code
Calculated
R, T
Agreement
1e-13 abs
A single interface, air to glass (n = 1.5) at 600 nm: the Fresnel equations Brewster's angle, where R_p vanishes, is arctan(1.5) = 56.3°; the two curves coincide to machine precision at every angle.
0102030405060708000.20.40.60.81angle of incidence [°]R
Rs, PyStratify Rp, PyStratify Rs, Fresnel closed form Rp, Fresnel closed form
Hover to read values.
  • largest |R − R_Fresnel| over both polarizations: 1.22×10⁻¹⁴
  • PyStratify the lines, the reference the circles

Run it yourself: planar_checks.py · figures.py · PLANAR_CHECKS.md on GitHub, PyStratify 97e52a9