Quarter-wave mirror: Estimation of reflectance at the central wavelength, width of high-reflection zones, and angular shift

Fig. 1. Schematic representation of the reflectance of a quarter-wave mirror (Bragg mirror) with the central wavelength of \(\lambda_0\).
High-reflection (HR) zones of quarter-wave mirrors are spectral ranges, where reflectance is high and is growing if the number of layer pairs if increasing. The HR zones around the mirror central wavelength \(\lambda_0\) is called principal or the first HR zone. The second, third, etc., HR zones are centered around \(\lambda_0/3\), \(\lambda_0/5\), ... wavelengths. With the growing of order, the HR zones are getting narrower.
Refractive indices of layer materials and substrate (min. values 1.0):
nH  = nL  = ns  =   Angle of incidence AOI (0-89.9): degreesCentral wavelength (100-25000 nm):   = nm   Number of layer pairs (min. 5):   =
