The design of wavelength-division-multiplexed (WDM) filters requires control of both the attributes of the filter within the reflection band and the filter’s effects on adjacent bands. Causality arguments are used to give the minimum dispersion that can be achieved in the transmission of an adjacent channel in terms of the bandwidth, sidelobe suppression, and channel spacing of WDM filters. The ripple in the side-channel dispersion is also related to the sidelobe properties. Results for a synthesized grating design and its calculated spectrum are compared with the theoretical limits on dispersion.
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