Dichroic Beam Splitter

Dichroic beam splitter at oblique incidence. Shows s- and p-polarisation splitting characteristic of dichroic filters used at 45°. Effective optical thickness shifts with cos(θ).

Model: Exact

cos θH = 0.954, cos θL = 0.873 (angles inside the layers)

Total layers = 14

Stop-band centre at θ ≈ λ₀(cos θH + cos θL)/2 = 502.3 nm (first order). The p band is narrower than the s band.

Model and references

Exact. The equations are exact within the stated assumptions, or are a standard's tabulated values. The results are as good as the inputs. About the tiers

Transfer matrix for s and p with constant, lossless indices; layers are quarter waves at normal incidence; back surface ignored. Unpolarized R is the mean of R_s and R_p. The centre shift shown is first order.

  1. Macleod H. A. (2010). Thin-Film Optical Filters, 4th ed., ch. 2 (tilted admittances) and ch. 9 (tilted coatings). CRC Press. doi:10.1201/9781420073034
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