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Details of Grant 

EPSRC Reference: EP/C515137/1
Title: Asymptotic and numerical approaches to the theory of optical microresonators and microlasers
Principal Investigator: Sieber, Dr MMA
Other Investigators:
Dettmann, Professor CP Waalkens, Dr H
Researcher Co-Investigators:
Project Partners:
Department: Mathematics
Organisation: University of Bristol
Scheme: Standard Research (Pre-FEC)
Starts: 26 January 2006 Ends: 25 January 2009 Value (£): 157,955
EPSRC Research Topic Classifications:
Lasers & Optics Non-linear Systems Mathematics
EPSRC Industrial Sector Classifications:
No relevance to Underpinning Sectors
Related Grants:
Panel History:  
Summary on Grant Application Form
Optical technology has an increasingly vital role in data processing and communication, with faster transmission, lower loss and larger bandwidth than comparable electronic devices, in an environment where demand for moving vast quantities of information is growing exponentially. Microlasers are micron sized dielectric resonators which trap light using total internal reflection, and can provide the intense coherent light required for this technology. For optimal performance, high 0-values, power and directionality are required. Recent experimental work has led to promising design ideas, however the current linear theory cannot explain the dependence of the lasing modes on the shape of the resonator, its index of refraction and gain, so theoretical advances are required for significant further progress. Due to the possibility of optical leakage and the existence of a non-linear gain medium in the case of active devices, such systems represent a weakly non-linear and open generalization of classical and quantum billiards widely studied in the field of quantum chaos. We propose to extend techniques commonly used in quantum chaos theory, and supplement them with powerful mathematical tools from the theory of non-linear pattern-forming systems, to address these features. In particular, this project aims to clarify the mode selection problem in microlasers, leading to design criteria for optimal performance.
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Organisation Website: http://www.bris.ac.uk