Title :
Window functions for ideal response in distributed feedback reflection filters
Author :
Little, Brent E. ; Wu, Chi
Author_Institution :
Dept. of Electr. Eng. & Comput. Sci., MIT, Cambridge, MA, USA
Abstract :
The wavelength filter synthesis problem in distributed feedback reflection filters is solved using variational optimization. Near ideal response is achieved by using appropriate window functions. These responses have the narrowest stopband widths for a particular side-lobe suppression level. In particular, an analytic design formula approximating these ideal windowing functions is given for filters requiring -30 dB to -60 dB sidelobe suppression.
Keywords :
coupled mode analysis; optical communication equipment; optical design techniques; optical feedback; optical waveguide filters; optimisation; wavelength division multiplexing; WDM; analytic design formula; appropriate window functions; distributed feedback reflection filters; ideal response; ideal windowing functions; narrowest stopband widths; near ideal response; side-lobe suppression level; sidelobe suppression; variational optimization; wavelength filter design; wavelength filter synthesis problem; window functions; Convergence; Design optimization; Distributed feedback devices; Fabrication; Filters; Gratings; Lithography; Propagation constant; Reflection; Shape;
Journal_Title :
Photonics Technology Letters, IEEE