Wavelength Calibration of Optical Multichannel Detectors in Combination with Single- and Double-Grating Monochromators

Abstract

For the measurement of a spectrum with an optical multichannel detector (OMCD), the relation N = N(λ) or λ = λ(N) between the channel number N and the wavelength λ must be known. For an ideal OMCD, N(λ) and λ(N) are completely defined by the physical parameters of the monochromator and the channel spacing of the OMCD. Series expansions N = N₀ + Σ _k A _k (λ – λ₀) ^k and λ = λ₀ + Σ_kB_k(N – N₀) ^k are given for single-grating monochromators (k = 1, 2, 3) and double-grating monochromators (k = 1, 2). The validity of the series expansions has been checked experimentally and numerically for a double monochromator.