Abstract

The passband frequency response of an arrayed waveguide grating (AWG) is improved for better performance in wavelength-division multiplexing applications. Using the lengths of array arms as optimization variables, an optimization method is employed to obtain an ideal flat-top transfer function. Two different definitions of the desired transfer function to achieve the ideal flat-top response are given, and their results are compared. Rigorous mathematical derivation of the transfer function and definition of suitable objective functions generate closed-form expressions for the gradient vector of the objective function with respect to the optimization variables, thus enabling the implementation of a robust quasi-Newton optimization algorithm. This, in turn, provides accurate results and fast convergence, despite a large number of optimizing variables. It is shown that the optimized nonuniform AWG will have a flat passband with a broad bandwidth that is 2.3 times larger than that of an ordinary uniform AWG.

© 2007 IEEE

PDF Article

References

You do not have subscription access to this journal. Citation lists with outbound citation links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription