The diffraction at mirror facets restricts the size of step mirrors for static step-mirror-based Fourier transform spectrometers. This paper discusses the miniaturization of these step mirrors and proposes a quasiperiodic approximation of Fresnel diffraction to analyze the diffraction effect. Noise caused by diffraction is classified into approximation noise and edge noise. The edge-enlarge method is developed to reduce edge noise. This method can reduce mirror facet width to less than 30 times the longest wavelength to be studied. Simulation results are given.
© 2011 Optical Society of America
Original Manuscript: June 22, 2010
Revised Manuscript: October 5, 2010
Manuscript Accepted: November 3, 2010
Published: December 20, 2010
Cong Feng, Bo Wang, Zhongzhu Liang, and Jingqiu Liang, "Miniaturization of step mirrors in a static Fourier transform spectrometer: theory and simulation," J. Opt. Soc. Am. B 28, 128-133 (2011)