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- Oscar P Bruno, Christophe A Geuzaine, John A Monro, Fernando Reitich
- Philosophical transactions. Series A…
- 2004

We present a new algorithm for the numerical solution of problems of electromagnetic or acoustic scattering by large, convex obstacles. This algorithm combines the use of an ansatz for the unknown density in a boundary-integral formulation of the scattering problem with an extension of the ideas of the method of stationary phase. We include numerical… (More)

We present a new numerical method for the solution of the problem of diffraction of light by a doubly periodic surface. This method is based on a high order rigorous perturbative technique, whose application to singly periodic gratings was treated in the first two papers of this series. We briefly discuss the theoretical basis of our algorithm, namely, the… (More)

- Oscar P. Bruno, Mark Lyon
- J. Comput. Physics
- 2010

- Mark Lyon, Oscar P. Bruno
- J. Comput. Physics
- 2010

- Nathan Albin, Oscar P. Bruno
- J. Comput. Physics
- 2011

[1] A new method is introduced for the solution of problems of scattering by rough surfaces in the high-frequency regime. It is shown that high-order summations of expansions in inverse powers of the wave number can be used within an integral equation framework to produce highly accurate results for surfaces and wavelengths of interest in applications. Our… (More)

- Oscar P. Bruno, Youngae Han, Matthew M. Pohlman
- J. Comput. Physics
- 2007

We present a new method for construction of high-order parametrizations of surfaces: starting from point clouds, the method we propose can be used to produce full surface parametrizations (by sets of local charts, each one representing a large surface patch – which, typically, contains thousands of the points in the original point-cloud) for complex… (More)

- Oscar P. Bruno, Bérangère Delourme
- J. Comput. Physics
- 2014

- Oscar P Bruno, Michael C Haslam
- Journal of the Optical Society of America. A…
- 2009

We present a superalgebraically convergent integral equation algorithm for evaluation of TE and TM electromagnetic scattering by smooth perfectly conducting periodic surfaces z=f(x). For grating-diffraction problems in the resonance regime (heights and periods up to a few wavelengths) the proposed algorithm produces solutions with full double-precision… (More)

- Oscar P. Bruno, Alain Sei
- 2001

We present a new high-order integral algorithm for the solution of scattering problems by heterogeneous bodies under TE radiation. Here, a scatterer is represented by a (continuously or discontinuously) varying refractive index ( ) within a two-dimensional (2-D) bounded region; solutions of the associated Helmholtz equation under given incident fields are… (More)