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Rough surface reconstruction at grazing angles by an iterated marching method.
(Optical Society of AmericaJournal of the Optical Society of America. A, Optics, image science, and vision, 2018-04)
An iterated marching method is presented for reconstruction of rough perfectly reflecting 1-dimensional surfaces from scattered data arising from a scalar wave at grazing incidence. This is based on coupled inte-
gral ...
A possible failure of determinism in general relativity
(American Physical SocietyPhysics, 2018-01-17)
Is the future predictable? If we know the initial state of a system exactly, then do the laws of physics determine its state arbitrarily far into the future? In Newtonian mechanics, the answer is yes. Similarly in ...
Manton's five vortex equations from self-duality
(Journal of Physics A: Mathematical and Theoretical, 2017-08-17)
Exploring cosmic origins with CORE: Gravitational lensing of the CMB
(Journal of Cosmology and Astroparticle Physics, 2018-04-05)
High accuracy computational methods for the semiclassical Schrödinger equation
(University of CambridgeDepartment of Applied Mathematics and Theoretical Physics (DAMTP)King's College, 2018-04-28)
The computation of Schrödinger equations in the semiclassical regime presents several enduring challenges due to the presence of the small semiclassical parameter. Standard approaches for solving these equations commence ...
The structure and origin of confined Holmboe waves
(Cambridge University PressJournal of Fluid Mechanics, 2018-08-10)
Finite-amplitude manifestations of stratified shear flow instabilities and their spatio-temporal coherent structures are believed to play an important role in turbulent geophysical flows. Such shear flows commonly have ...
Indices for Supersymmetric Quantum Field Theories in Four Dimensions
(University of CambridgeDepartment of Applied Mathematics and Theoretical PhysicsTrinity Hall, 2012-07-21)
In this thesis, we investigate four dimensional supersymmetric indices. The motivation for studying such objects lies in the physics of Seiberg's electric-magnetic duality in supersymmetric field theories. In the first ...
Experimental exploration of fluid-driven cracks in brittle hydrogels
(Cambridge University PressJournal of Fluid Mechanics, 2018-06-10)
Hydraulic fracturing is a procedure by which a fracture is initiated and propagates due to pressure (hydraulic loading) applied by a fluid introduced inside the fracture. In this study we focus on a crack driven by an ...
Are there testable discrete Poincaré invariant physical theories?
(IOP PublishingClassical and Quantum Gravity, 2018-09-05)
In a model of physics taking place on a discrete set of points that approximates Minkowski space, one might perhaps expect there to be an empirically identifiable preferred frame. However, the work of Dowker et al (2004 ...
Capillary retraction of the edge of a stretched viscous sheet
(Cambridge University PressJournal of Fluid Mechanics, 2018-04-03)
Surface tension causes the edge of a fluid sheet to retract. If the sheet is also stretched along its edge then the flow and the rate of retraction are modified. A universal similarity solution for the Stokes flow in a ...