Analogies and differences between three methods for sound field reproduction (2009)
Fazi, Filippo M., Nelson, Philip A., Potthast, Roland
A theoretical comparison is undertaken, between three approaches for the reproduction of a sound field. The first method is based on the decomposition of the sound field in terms of spherical...
ACOUSTIC SCATTERING BY MILDLY ROUGH UNBOUNDED SURFACES IN THREE DIMENSIONS ∗ (2008)
Simon N. Chandler-wilde, Eric Heinemeyer, Roland Potthast
Abstract. For a nonlocally perturbed half-space we consider the scattering of time-harmonic acoustic waves. A second kind boundary integral equation formulation is proposed for the sound-soft case,...
D. Russell Luke, Roland Potthast
no response test- a sampling method for inverse scattering problems
A Point-Source Method in Inverse Acoustic Scattering. (2007)
We present a point-source method to solve inverse acoustic obstacle scattering problems. The point-source method gives a new and explicit procedure how to compute from the far field pattern u 1 of a...
A Point-Source Method in Inverse Electromagnetic Scattering. (2007)
We present the mathematical foundation for a point-source method PSM to solve inverse electromagnetic perfect-conductor obstacle scattering problems. The PSM gives a new and explicit procedure how to...
Image processing for limited aperture inverse (2007)
D. Russell, Luke Roland Potthast, D. Russell Luke, Roland Potthast
acoustic obstacle scattering
The no-response approach and its relation to non-iterative methods for the inverse scattering (2007)
Honda, Naofumi, Nakamura, Gen, Potthast, Roland, Sini, Mourad
This paper addresses the inverse obstacle scattering problem. In the recent years several non-iterative methods have been proposed to reconstruct obstacles (penetrable or impenetrable) from near or...
The no-response approach and its relation to non-iterative methods for the inverse scattering (2007)
Honda, Naofumi, Nakamura, Gen, Potthast, Roland, Sini, Mourad
This paper addresses the inverse obstacle scattering problem. In the recent years several non-iterative methods have been proposed to reconstruct obstacles (penetrable or impenetrable) from near or...
The no-response approach and its relation to non-iterative methods for the inverse scattering (2007)
Honda, Naofumi, Nakamura, Gen, Potthast, Roland, Sini, Mourad
This paper addresses the inverse obstacle scattering problem. In the recent years several non-iterative methods have been proposed to reconstruct obstacles (penetrable or impenetrable) from near or...
The no-response approach and its relation to non-iterative methods for the inverse scattering (2007)
Honda, Naofumi, Nakamura, Gen, Potthast, Roland, Sini, Mourad
This paper addresses the inverse obstacle scattering problem. In the recent years several non-iterative methods have been proposed to reconstruct obstacles (penetrable or impenetrable) from near or...
The no-response approach and its relation to non-iterative methods for the inverse scattering (2005)
The no-response approach and its relation to non-iterative methods for the inverse scattering (2005)
The no-response approach and its relation to non-iterative methods for the inverse scattering (2005)
Nakamura, Gen, Potthast, Roland, Sini, Mourad
751
The convergence proof of the no-response test for localizing an inclusion (2004)
Nakamura, Gen, Potthast, Roland, Sini, Mourad
In this paper, we use the no-response test idea, introduced in ([L-P],[P1]) for the inverse obstacle problem, to identify the interface of the discontinuity of the coefficient \gamma of the equation...
The convergence proof of the no-response test for localizing an inclusion (2004)
Nakamura, Gen, Potthast, Roland, Sini, Mourad
In this paper, we use the no-response test idea, introduced in ([L-P],[P1]) for the inverse obstacle problem, to identify the interface of the discontinuity of the coefficient \gamma of the equation...
The convergence proof of the no-response test for localizing an inclusion (2004)
Nakamura, Gen, Potthast, Roland, Sini, Mourad
In this paper, we use the no-response test idea, introduced in ([L-P],[P1]) for the inverse obstacle problem, to identify the interface of the discontinuity of the coefficient \gamma of the equation...
The no response test - a sampling method for inverse scattering problems (2003)
We describe a novel technique, which we call the no response test, to locate the support of a scatterer from knowledge of a far-field pattern of a scattered acoustic wave. The method uses a set of...
The No Response Test - A Sampling Method for . . . (2003)
Luke, D. Russell, Luke Roland Potthast, D. Russell Luke, Roland Potthast
We describe a novel technique, which we call the no response test, to locate the support of a scatterer from knowledge of a far-field pattern of a scattered acoustic wave. The method uses a set of...
On the domain derivative for scattering by impenetrable obstacles in chiral media (2003)
Potthast, Roland, Stratis, Ioannis G.
For scattering of electromagnetic waves in a chiral medium by some perfectly conducting inclusions, we study the dependence of the scattered field on the boundary of the inclusions and show its...
Point sources and multipoles in inverse scattering theory (2001)
Over the last twenty years, the growing availability of computing power has had an enormous impact on the classical fields of direct and inverse scattering. The study of inverse scattering, in...
Integral Equation Methods in Electromagnetic Scattering From Anisotropic Media (1998)
We investigate scattering of time-harmonic electromagnetic waves by an anisotropic inhomogeneous medium. The problem is equivalently transformed into a system of strongly singular integral equations....
A Point-Source Method for Inverse Acoustic and Electromagnetic Obstacle Scattering Problems. (1997)
We present the mathematical foundation for a point-source method to solve some inverse acoustic and electromagnetic obstacle scattering problems in three dimensions. We investigate the inverse...
Electromagnetic Scattering From an Orthotropic Medium (1997)
We investigate electromagnetic wave propagation in an inhomogeneous anisotropic medium. For the case of an orthotropic medium we derive the Lippmann-Schwinger equation, which is equivalent to a...
Göttingen, Universiẗat, Diss., 1994.
The Inverse Electromagnetic Scattering Problem for an Anisotropic Medium
We consider the electromagnetic inverse scattering problem of determining the support of an orthotropic or anisotropic anomaly in a homogeneous background medium from a knowledge of the electric far...
Language processing with dynamic fields
Beim Graben, Peter, Pinotsis, Dimitris, Saddy, Douglas, Potthast, Roland
We construct a mapping from complex recursive linguistic data structures to spherical wave functions using Smolensky’s filler/role bindings and tensor product representations. Syntactic language...
Dimensional Reduction for the Inverse Problem of Neural Field Theory
Potthast, Roland, Graben, Peter Beim
Inverse problems in computational neuroscience comprise the determination of synaptic weight matrices or kernels for neural networks or neural fields respectively. Here, we reduce multi-dimensional...