R. Zengerle et O. Leminger, PHASE-SHIFTED BRAGG-GRATING FILTERS WITH IMPROVED TRANSMISSION CHARACTERISTICS, Journal of lightwave technology, 13(12), 1995, pp. 2354-2358
Standard Bragg filters (dielectric waveguides with a grating overlay)
show a stopband only in reflection. Filters with quarter-wave-shifted
gratings have an extremely narrow transmission peak in the center of t
he stopband but its shape (a sharp triangle with a broad bottom) is no
t suitable for system design. Using standard coupled-mode theory toget
her with transfer-matrix formalism, we show that by introducing severa
l phase-shift regions and properly choosing their locations and magnit
udes the transmission spectrum can be tailored into a nearly rectangul
ar shape. For InP/InGaAsP-based Bragg-grating filters estimates are ma
de of achievable channel spacings in wavelength-division multiplexing
systems.