Abstract

We present a new optimization-based approach for synthesizing photonic infinite impulse response filters formed using microresonators. Taking into account the finite internal losses in these resonators, we cast the synthesis of filter coefficients as a semidefinite programming problem designed to restrict root-magnitudes set by the internal loss, while meeting filter-mask specifications. We provide a discussion on the formulation of the algorithm, and show how it can be used to design the optical components in a second-order unit cell. In addition, we provide an example of forming a fourth-order low-pass filters by cascading two unit cells. Our simulations show that fourth-order low-pass filters can achieve band-rejection ratios of 60 dB with integrated microresonators that possess an intrinsic quality-factor Q₀ of ${\text{1.1}}\times{\text{10}}^5$ .

Michelson interferometer based interleaver design using classic IIR filter decomposition

Chi-Hao Cheng and Shasha Tang
Opt. Express 21(25) 31330-31335 (2013)

Gigahertz single source IIR microwave photonic filter based on coherence managed multi-longitudinal-mode fiber laser

Yanbing Jin, Xinhuan Feng, Feng Li, Xudong Wang, Baiou Guan, Jinhui Yuan, and P. K. A. Wai
Opt. Express 23(4) 4277-4288 (2015)

Extended active optical lattice filters: filter synthesis

Mieczyslaw Dabkowski, Amr El Nagdi, Louis R. Hunt, Ke Liu, Duncan L. MacFarlane, and Viswanath Ramakrishna
J. Opt. Soc. Am. A 27(4) 895-910 (2010)

Solutions to the synthesis problem of optical delay line filters

S. Sales, J. Capmany, J. Martí, and D. Pastor
Opt. Lett. 20(23) 2438-2440 (1995)

Chromatic dispersion measurement based on a high-Q optoelectronic oscillator incorporating cascaded FIR and IIR filters

Yu Tang, Muguang Wang, Beilei Wu, Jing Zhang, Qi Ding, Hongqian Mu, Bin Yin, Jian Sun, and Fengping Yan
OSA Continuum 1(4) 1205-1214 (2018)