Pooh, his back against one of the trees, and his paws folded in front of him, said "Oh!" and "I didn't know," and thought how wonderful it would be to have a Real Brain which could tell you things. He shook his head, and said to himself, "I'm not getting it right." A.A.Milne

Developing and implementing analytic techniques for solving boundary-value problems arising from problems in linearised water wave theory, acoustics, electromagnetics and elasticity.

A particular emphasis on:

• Renewables & wave power: how to convert ocean wave energy into electrical energy.
• Invisibilty cloaking and metamaterials in water waves.
• The interaction between ocean waves and ice sheets.
• Trapped modes, edge waves and Rayleigh-Bloch waves in water waves, elasticity and acoustics.
• Wave interaction with large periodic arrays.
• Wave scattering by topography and marine structures.

• Awarded a EPSRC New Horizons grant to investigate "Water wave metamaterials in the design of ocean wave energy converters"
• Sarah Crowley worked with me on an EPSRC funded position under INNOVATE UK on a project with WITT Ltd on wave energy converter design from 2015-2016. Now at WaveC in Portugal.
• Tim Williams worked with me on a NZ Marsden Grant on ocean wave/ice sheet interaction from 2007-2010. Now at NERSC in Norway.

• An animation of the motion of a square flexible floating ice sheet under oblique wave incidence. Uses a powerful analytic method which only requires the solution of typically 4x4 systems of equations.
  

  

• A movie of experiments performed by Dominic Taunton and Philip Wilson from Southampton University at Plymouth University's COAST wave tank facility on a primitive model of the WITT wave energy converter. Alongside is the comparison between theory and experiments for motions in heave, surge, pitch and pendulum roll.

  

• A movie from experiments performed by John Chaplin at Southampton University in a long narrow wave tank on motion trapped modes (these are free self-sustaining motions of a coupled body/fluid system. Alongside is the comparison between theory and experiments for the first symmetric and first antisymmetric motion trapped modes.

  

• An animation of a Gaussian beam perfectly transmitting energy through a metamaterial slab (called a metamaterial in this case because it has negative refractive index.)