Analysis of wavelength-dependences associated with modulo-Nλ_0 optical path control

摘要

This paper presents an analytic treatment of the wavelength dependences associated with modulo λ_r optical path control, treating the case where the reset wavelength λ_r is allowed to be an integer multiple of a nominal operating wavelength λ_0 λ_r=Nλ_0. Equations for the wavelength dependences associated with modulo Nλ_0 optical path modulation are derived using both a Strehl ratio analysis approach and a Fourier analysis approach. Geometrical analysis of the transmitted wavefront yields expressions for the Strehl ratio and angular dispersion that are in agreement with the N~(th)-order diffraction efficiency and angular dispersion relationships derived by Fourier analysis. The Fourier analysis approach yields additional expressions for the diffraction efficiency and wavefront characteristics associated with all diffracted orders.