Engineering the nonlinear phase shift using multistage autoregressive moving-average optical filters

Yan Chen; Geeta Pasrija; Behrouz Farhang-Boroujeny; Steve Blair

doi:10.1117/12.529344

14 June 2004 Engineering the nonlinear phase shift using multistage autoregressive moving-average optical filters

Yan Chen, Geeta Pasrija, Behrouz Farhang-Boroujeny, Steve Blair

Proceedings Volume 5337, Nonlinear Frequency Generation and Conversion: Materials, Devices, and Applications III; (2004) https://doi.org/10.1117/12.529344
Event: Lasers and Applications in Science and Engineering, 2004, San Jose, Ca, United States

Abstract

In this paper, we propose and demonstrate the application of concepts from digital filter design to optimize artificial optical resonant structures to produce a nearly ideal nonlinear phase shift response. Multi-stage autoregressive moving average (ARMA) optical filters (ring resonator based Mach-Zehnder interferometer lattices) are designed and studied. The filter group delay is used as an alternate measure instead of finesse or quality factor to study the nonlinear sensitivity for multiple resonances. The nonlinearity of a 4-stage ARMA filter is 17 times higher than that of the intrinsic material. We demonstrate that the nonlinear sensitivity can be increased within the same bandwidth by allocating more in-band phase or using higher-order filter structures and that the nonlinear enhancement improves with increasing group delay. We also investigate some possible ways to pre-compensate the nonlinear response to reduce the occurrence of optical bistabilities. The impact of optical loss, including linear absorption and two-photon absorption, and fabrication tolerance are discussed in post-analysis.

Citation Download Citation

Yan Chen, Geeta Pasrija, Behrouz Farhang-Boroujeny, and Steve Blair "Engineering the nonlinear phase shift using multistage autoregressive moving-average optical filters", Proc. SPIE 5337, Nonlinear Frequency Generation and Conversion: Materials, Devices, and Applications III, (14 June 2004); https://doi.org/10.1117/12.529344

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KEYWORDS

Nonlinear filtering

Optical filters

Phase shifts

Digital filtering

Nonlinear response

Nonlinear optics

Resonators

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