Analysis of wavelength-dependences associated with modulo-Nλ0 optical path control

Statistics – Applications

Scientific paper

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Scientific paper

This paper presents an analytic treatment of the wavelength dependences associated modulo λr optical path control, treating the case where the reset wavelength λr is allowed to be an integer multiple of a nominal operating wavelength λ0, λr=Nλ0. Equations for the wavelength dependences associated with modulo Nλ0 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 Nth-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.

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