Coating Stack Designer

Design multi-layer anti-reflective coating stacks using Kriya's PFAS-free nanoparticle platform. See live reflectance and transmittance spectra computed via the Transfer Matrix Method.

Preset configurations

Substrate

Coating layers(top to bottom)

1. LRI
2. HRI

Add layer:

Stack cross-section

Air (n=1.00)LRI n=1.25 110nmHRI n=1.80 15nmGlass (BK7) n=1.52
Avg. reflection (380–780 nm)0.33%
VLT99.7%
Min. R0.036%@ 490 nm
Reflected colour

Reflectance spectrum (TMM)

0%1%2%3%4%400500550600700Wavelength (nm)Reflectance (%)

Transmittance spectrum

96%97%98%99%100%Wavelength (nm)Transmittance (%)

Methodology

Full Transfer Matrix Method (TMM) at normal incidence. Each layer contributes a 2×2 characteristic matrix M with phase thickness δ = 2πnd/λ. The total system matrix is the ordered product of all layer matrices. Reflectance R = |r|² is extracted from the Fresnel reflection coefficient. Substrate dispersion follows the Cauchy model: n(λ) = A + B/λ² + C/λ⁴. Non-absorbing dielectric approximation (T = 1 − R). Photopic-weighted averaging uses the CIE V(λ) luminosity function.

Model limitations

  • Coating RIs are nominal values at 550 nm. Real Cauchy dispersion coefficients available from Kriya.
  • Normal incidence only (θ = 0°). For oblique-incidence AR design, use the TMM Simulator.
  • Non-absorbing dielectric model (k=0). UV absorption near band edge not captured.
  • Substrate dispersion uses Cauchy model; coating layers use constant RI.

For production-critical calculations, contact Kriya Materials with your specific requirements. We provide measured optical data and validated simulation support.