Abstract
We have developed an analytical model for the design and
optimization of common-path interferometers (CPI’s) based on
spatial filtering. We describe the mathematical analysis in detail
and show how its application to the optimization of a range of
different CPI’s results in the development of a graphical framework to
characterize quantitatively CPI performance. A detailed analytical
treatment of the effect of curvature in the synthetic reference wave is
undertaken. We show that it is possible to improve the linearity
and fringe accuracy of certain standard interferometers by a
modification of the Fourier filter, and we propose and analyze a dual
CPI system for the unambiguous mapping of phase to intensity over the
complete input phase range.
© 2001 Optical Society of America
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