# Algorithm 975

@article{Ganesh2017Algorithm9, title={Algorithm 975}, author={Mahadevan Ganesh and Stuart C. Hawkins}, journal={ACM Transactions on Mathematical Software (TOMS)}, year={2017}, volume={44}, pages={1 - 18} }

The T-matrix (TMAT) of a scatterer fully describes the way the scatterer interacts with incident fields and scatters waves, and is therefore used extensively in several science and engineering applications. The T-matrix is independent of several input parameters in a wave propagation model and hence the offline computation of the T-matrix provides an efficient reduced order model (ROM) framework for performing online scattering simulations for various choices of the input parameters. The…

## 16 Citations

### Analysis and application of an overlapped FEM-BEM for wave propagation in unbounded and heterogeneous media

- Computer ScienceArXiv
- 2021

### An offline/online algorithm for a class of stochastic multiple obstacle scattering configurations in the half-plane

- MathematicsJ. Comput. Appl. Math.
- 2016

### Backscattering problems by a non-convex kite-shape objects in acoustic frequency domain

- Mathematics, Physics
- 2019

This paper focuses on the acoustic backscattering from objects with non-convex shape in two-dimensional space. The scattering simulations are provided using the boundary integral formulation and…

### Numerical methods for high frequency scattering by multiple obstacles

- Mathematics
- 2017

HNA theory is generalised to provide a priori error estimates for a broader range of incident fields than just the plane wave, including point sources, beam sources, and Herglotz-type incidence.

### Approximation of radiating waves in the near-field: Error estimates and application to a class of inverse problems

- MathematicsJ. Comput. Appl. Math.
- 2022

### Algorithm 1009

- GeologyACM Transactions on Mathematical Software
- 2020

MieSolver provides an efficient solver for the problem of wave propagation through a heterogeneous configuration of nonidentical circular cylinders that is numerically stable and highly accurate.

### An efficient algorithm for a class of stochastic forward and inverse Maxwell models in R3

- Computer ScienceJ. Comput. Phys.
- 2019

### An overlapping decomposition framework for wave propagation in heterogeneous and unbounded media: Formulation, analysis, algorithm, and simulation

- MathematicsJ. Comput. Phys.
- 2020

### A proof that multiple waves propagate in ensemble-averaged particulate materials

- PhysicsProceedings of the Royal Society A
- 2019

It is shown that in most parameter regimes only a small number of these effective wavenumbers make a significant contribution to the wave field, and a simple formula is provided for the reflection coefficient which can be explicitly evaluated for monopole scatterers.

### MULTIPLE WAVES PROPAGATE IN RANDOM PARTICULATE MATERIALS\ast

- Geology
- 2019

For over 70 years it has been assumed that scalar wave propagation in (ensembleaveraged) random particulate materials can be characterized by a single effective wavenumber. Here, however, we show…

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