Quarter-Wave Stack Calculator

Design single-layer AR coatings or calculate HR dielectric stack reflectance. Computes film thickness, residual reflectance, and HR bandwidth.

AR Coating Design
AR Coating Design
Film thickness (d)
99.6nm
Ideal film index \u221a(n\u2080\u00b7n_s)
1.232
Residual reflectance (R)
1.28%
Uncoated reflectance
4.22%

Note: Zero residual reflectance requires the film index to equal the ideal value (1.232). MgF₂ (n = 1.38) is the standard choice for glass substrates despite being above ideal.

Abridged Optics — Quarter-Wave Stack Calculator v1.0AR: d = \u03bb/(4n_f), R = ((n_f\u00b2\u2212n\u2080n_s)/(n_f\u00b2+n\u2080n_s))\u00b2. HR: R = ((1\u2212(n_H/n_L)^(2N)\u00b7n\u2080/n_s)/(1+(n_H/n_L)^(2N)\u00b7n\u2080/n_s))\u00b2.

All information, equations, and calculations have been compiled and verified to the best of our ability. For mission-critical applications, we recommend independent verification of all values. If you find an error, please let us know.