title: Derivation of the center-wavelength shift of narrow-bandpass filters under temperature change.
abstract: We derive a simple equation to predict the center-wavelength shift of a Fabry-Perot type narrow-bandpass filter by using the conventional characteristic matrix method and the elastic strain model as the temperature varies. We determine the thermal expansion coefficient of substrate from the zero-shift condition of the center wavelength of the filter. The calculated shifts are in a good agreement with the experimental ones, in which the narrow-bandpass filters are prepared by plasma ion-assisted deposition on four substrates with different thermal expansion coefficients.
authors.forename: Sung-Hwa
authors.initials: SH
authors.lastname: Kim
authors.forename: Chang Kwon
authors.initials: CK
authors.lastname: Hwangbo