Brownian Motion in Bounded Topological Sets and Application to Phase Noise Optimization in Optoelectronic OscillatorsTracking Number: None - Please contact Dr. Schlesinger, ONR
Abstract
Phase noise is one of the most important limiting factors for the performance of ultra-sensitive radars and radiofrequency (RF) detection systems. Significant phase noise reduction in these oscillators can be achieved by time-delayed optoelectronic oscillators (OEOs), which use lightwave energy storage in low-loss optical fiber delay lines to overcome the technological limitations of microwave energy storage in narrowband filters. However, from a mathematical point of view, the phase noise analysis of these time-delayed oscillators is a difficult endeavor, because it involves infinite dimensional stochastic delaydifferential equations. The study of phase noise in OEOs therefore corresponds to the analysis of Brownian (phase) motion in bounded topological sets immersed into an infinite-dimensional state space. In this project, we propose to investigate phase noise in time-delayed OEOs when these topological sets are either quasi-critical limit-cycles or tori. Our approach will permit us to understand, and ultimately mitigate the detrimental consequences of amplitude-phase noise coupling, as well as the effect of 1/f noise, which is the main factor limiting the long-term stability of these ultrapure oscillators. Our theoretical work will be complemented by experiments aiming at building multi-GHz optoelectronic oscillators with improved phase noise performance.
Document Details
- Document Type
- DoD Grant Award
- Publication Date
- Apr 06, 2021
- Source ID
- N000142112098
Entities
People
- Yanne K Chembo
Organizations
- Office of Naval Research
- United States Navy
- University of Maryland