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EPSRC Reference: GR/K75286/01
Title: GENERATION OF ULTRA-SHORT PULSES USING NONLINEAR DYNAMICS
Principal Investigator: Firth, Professor WJ
Other Investigators:
Oppo, Professor GL D'Alessandro, Dr G
Researcher Co-Investigators:
Project Partners:
Department: Physics
Organisation: University of Strathclyde
Scheme: Standard Research (Pre-FEC)
Starts: 01 October 1995 Ends: 01 January 1996 Value (£): 95,575
EPSRC Research Topic Classifications:
Non-linear Systems Mathematics Optoelect. Devices & Circuits
EPSRC Industrial Sector Classifications:
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Panel History:  
Summary on Grant Application Form
The present models used to describe the dynamics of optical fields interacting in nonlinear materials are based on the assumption that the field envelopes are slowly varying functions of space and time. This requirement is not compatible with the very short pulses produced in state-of-the-art devices. We plan to apply singular perturbation expansion methods to Maxwell's equations, separating the different time scales in the problem; the optical period, pulse duration, cavity response times, and the slow evolution of the envelope of the pulse train. We plan to develop the generality and complexity of the models, from simple cavities (plane mirrors and only one nonlinear crystal), to more complicated devices (Kerr lens mode-locked cavities, spherical mirrors, phae mismatch, etc). As well as obtaining equations to describe these devices: we will study their solutions and phase space properties, in order to optimise the various device characteristics, especially pulse duration. We will proceed both analytically and numerically, and develop computer programs that allow experimenters to model and improve the performance of their systems.
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Organisation Website: http://www.strath.ac.uk