Abstract
We present a design scheme to achieve equalization of Gaussian-like spectra by using linear-phase optical lattice filters. The proposed scheme separates the design of the phase response from the amplitude response of the equalization filter by introducing a symmetrically folded lattice structure. With the proposed structure, the linear-phase characteristic of the equalization filter is guaranteed regardless of the other design parameters. Then the amplitude response of the equalization filter is designed through a constrained optimization problem solved by using an efficient recursive algorithm. In addition to theoretical analysis, the effectiveness of the proposed design scheme is demonstrated by simulations and experiments through the equalization of a super-luminescence light-emitting diode as an illustrative example. (c) 2007 Optical Society of America.