An analytical procedure for the calculation of the derivatives of the reflectance R of a dielectric multilayer stack is presented. Considered are the derivatives (∂R/∂nk)d, (∂R/∂nk)D, (∂R/∂dk)n, and (∂R/∂Dk)n, nk, dk, and Dk being the refractive index, the thickness, and the effective optical thickness of the kth layer, respectively. These calculations lead to a computational algorithm which, as compared with the method using finite difference approximation, reduces the computer time by a factor of f (the total number of layers).
© 1978 Optical Society of America
Original Manuscript: July 18, 1977
Published: February 15, 1978
C. J. v. d. Laan and H. J. Frankena, "Fast computation method for derivatives of multilayer stack reflectance," Appl. Opt. 17, 538-541 (1978)