title: Detailed calculation of spectral noise caused by measurement errors of Mach-Zehnder interferometer optical path phases in a spatial heterodyne spectrometer with a phase shift scheme.
abstract: We calculate the root mean square (rms) value of the spectral noise caused by optical path phase measurement errors in a spatial heterodyne spectrometer (SHS) featuring a complex Fourier transformation. In our calculation the deviated phases of each Mach-Zehnder interferometer in the in-phase and quadrature states are treated as statistically independent random variables. We show that the rms value is proportional to the rms error of the phase measurement and that the proportionality coefficient is given analytically. The relationship enables us to estimate the potential performance of the SHS such as the sidelobe suppression ratio for a given measurement error.
authors.affiliation: Department of Electronic Engineering, Faculty of Engineering Gunma University, Kiryu, Gunma, Japan. takada@el.gunma-u.ac.jp
authors.forename: Kazumasa
authors.initials: K
authors.lastname: Takada
authors.forename: Mitsuyoshi
authors.initials: M
authors.lastname: Seino
authors.forename: Akito
authors.initials: A
authors.lastname: Chiba
authors.forename: Katsunari
authors.initials: K
authors.lastname: Okamoto