Theory and Application of Pattern Formation and Spatiotemporal Complexity in Nonlinear Optics
- Programme type: Research
- Study location: Edinburgh
Pattern formation and turbulence are universal features of many nonlinear systems. Their formation occurs in optics, both in lasers and in nonlinear optical devices. Optical systems, which are relatively simple both in construction and in the mathematics that describe them, provide excellent opportunities for investigating these nonlinear dynamical phenomena as well as for technological innovation.
This programme studies pattern formation and application in nonlinear optical systems. Our investigations are by means of computational simulation and theory through stability and bifurcation analysis. Current interests include spontaneous emergence and evolution of coherent structures in high-aspect-ratio lasers and spatially extended optical systems, excitability and its associated pattern formations particularly optical spiral waves, and defect-mediated turbulence and spiral turbulence in optics. Current work also addresses control of chaos and spatiotemporal chaos by using new feedback algorithms for stabilising, tracking and manipulating coherent structures embedded in spatiotemporal complexity. This theoretical programme has a strong interaction with the experimental research activities in the group.
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English language requirements
If your first language is not English, or your first degree was not taught in English, we’ll need to see evidence of your English language ability. The minimum requirement for English language is IELTS 6.5 or equivalent. We offer a range of English language courses to help you meet the English language requirement prior to starting your masters programme:
- 2 semesters English (for IELTS of 4.5-5.0);
- 12 weeks English (for IELTS of 5.5);
- 6 weeks English (for IELTS 5.5*-6.0). (*minimum 5.5 reading and writing)
Fees for this programme can be found on our Tuition fees page.
Scholarships & bursaries
Commonwealth Scholarship and Fellowship Plan
International (Commonwealth citizens)
Commonwealth Scholarships Scheme
Candidates from developed Commonwealth countries (see below)
EPS PG Research Scholarships
All PG research applicants
East Lothian Educational Trust
Applicants must be a resident of the old county of East Lothian (ie excluding Musselburgh, Wallyford and Whitecraig.)
James Watt Fees Scholarships
All UK/EU applicants
Leverhulme Trade Charities Trust
Restricted to residents of the UK who are a son, daughter, spouse, widow or widower of a commercial traveller, chemist or grocer.
MASTS (Marine Alliance for Science and Technology Scotland) Prize Studentships
Students with suitable qualifications and a project proposal as outlined on the MASTS website
Remission of Fees (families of staff)
Spouses/civil partners and children of members of staff, also retired members of staff of the University
SUPA Prize Studentships
Students with a PhD proposal in Physics
Schlumberger Faculty for the Future Fellowships
Women from developing and emerging economies pursuing PhD or Post-Doctorate studies
Scotland's Saltire Scholarships
Citizens of Canada, the People's Republic of China, India or USA (2 awards for each country)
Employees of Heriot-Watt University
The Consumer Affairs UK Scholarship Programme
All currently enrolled students
West Lothian Educational Trust
Individuals must have originated in West Lothian or have lived there for the last 3 years.