A polarization-based tunable interferometric filter essentially consis
ting of a two-beam interferometer with birefringence elements is descr
ibed. The analysis of the filter is done through the concept of a geom
etric phase in optics-namely, the Pancharatnam phase. The transmission
characteristics of the filter can be controlled through three paramet
ers: the thickness of the birefringent elements, the optical path diff
erence, and the orientation angle of an analyzer placed at the interfe
rometer output. It is demonstrated theoretically that, with a particul
ar choice of these parameters, the chromatic dispersion of the filter
is compensated in a given spectral range. Some properties of the devic
e are confirmed by an experimental demonstration. (C) 1998 Optical Soc
iety of America.