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Details of Grant 

EPSRC Reference: GR/M92102/01
Title: MATHEMATICAL MODELS FOR ACOUSTIC BAND STRUCTURE AND BRILLOUIN SCATTERING IN PHOTONIC CRYSTAL FIBRES
Principal Investigator: Russell, Professor PS
Other Investigators:
Researcher Co-Investigators:
Project Partners:
Department: Physics
Organisation: University of Bath
Scheme: Standard Research (Pre-FEC)
Starts: 02 October 2000 Ends: 01 October 2003 Value (£): 54,686
EPSRC Research Topic Classifications:
Lasers & Optics Materials Characterisation
Optical Devices & Subsystems
EPSRC Industrial Sector Classifications:
Communications No relevance to Underpinning Sectors
Related Grants:
GR/M93994/01
Panel History:  
Summary on Grant Application Form
This joint Liverpool/Bath proposal is to develop a programme of analysis and numerical modelling, directed at understanding the acoustic and acoustooptic properties of photonic crystal fibre (PCF). We expect this to lead to new ways of enhancing/suppressing acoustic phonons by radically altering the phononic density of states, to new designs for all-fibre acoustooptic modulators , for fibres with suppressed/enhanced Brillouin scattering and for acoustic lasers. To achieve these overall goals we plan to develop efficient algorithms for propagating acoustic waves, based on the Rayleigh method, which has considerable advantages over plane wave expansions in terms of convergence and accuracy. This is especially true, when, as in PCF, there is a very large acoustic index contrast. This approach will enable us to describe the filtering properties of samples of phononic crystals. The next stage of the project will involve finding, using the equations of elasto-dynamics in periodic media, the phononic band structure. Finally, we shall stud the acousto-optic interactions in the fibre using a three-wave (two-optical, one acoustic) coupled-mode theory and analyse various modulator and acoustic laser designs. Particular attention will be paid to controlling stimulated Brillouin scattering by exploring geometries in which suppression or enhancement or acoustic vibrations occurs.
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Organisation Website: http://www.bath.ac.uk