R + T = 1 for lossless stacks, below and beyond the critical angle; reciprocity under reversal

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Reference
R + T = 1 for lossless stacks, below and beyond the critical angle; reciprocity under reversal
Kind
analytic: a closed form, limit or conservation law: independent of any code
Calculated
R, T
Agreement
1e-12 abs
A lossless five-layer stack lit from glass, through the critical angle: 1 − R − T Beyond the critical angle (41.1° in this glass) T is exactly zero and R is exactly one; the residual is floating-point rounding, floored at 10⁻¹⁷ for the logarithmic axis.
0102030405060708010⁻¹⁷10⁻¹⁶10⁻¹⁵10⁻¹⁴angle of incidence in glass [°]|1 − R − T|
|1 − R − T|, s polarization |1 − R − T|, p polarization
Hover to read values.
  • largest |1 − R − T|: 2.89×10⁻¹⁵

Run it yourself: figures.py on GitHub, PyStratify 97e52a9