Photonica
Tool · Optical coatings

AR Coating Thickness Calculator

Single-layer quarter-wave anti-reflection design: film thickness t = λ₀ / 4n₁, ideal index n₁ = √(n₀nₛ), and the resulting reflectance spectrum.

Design result
Quarter-wave thickness
194.7 nm
Ideal film index √(n₀nₛ)
1.865
R at λ₀, uncoated
30.64 %
R at λ₀, coated
0.416 %

Note: this film’s index is above the ideal √(n₀nₛ). A quarter wave still minimizes reflectance at λ₀, but the residual R shown is the floor for this material. A lower-index film (or a two-layer design) gets closer to zero.

Reflectance vs wavelength

Assumptions: normal incidence, lossless and non-dispersive indices, single layer. Real coatings shift with angle (the effective optical thickness shrinks as cos θ inside the film) and with material dispersion. Treat results as the starting design, not the deposition recipe.

For the physics behind the quarter-wave condition and multi-layer designs, see the companion article Anti-reflection coating design and the AR coating glossary entry.

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