The Transmission Line Matrix modelling technique is a spatially discrete, time domain
numerical modelling method. It has uses in many fields; however its main applications
are for acoustic and electromagnetic modelling.
This work focuses upon the study the positioning of surfaces which reflect and scatter
waves within TLM models. In particular, the way in which the precise position of objects
and surfaces are represented within the limitations of the model.
Previously reported methods for improving surface positioning are investigated and
evaluated. The previous methods are used as the basis for a new and improved method.
The key features and performance of the method are appraised and areas for improvement
defined. From this starting point, an enhanced method modifying the basic
features and implementation is described. This enhanced method gives significantly
improved results. Extensive testing of the original method and the enhanced method .
are given in an unobstructed abstract case, clearly showing the performance differences
of both methods and suitability for representing preCisely placed surfaces.
Examples of the application of the method for both electromagnetic and acoustic modelling
are given. Applications to ideal, abstract, and real world models are included. Results
are compared with standard analytical benchmarks, results from other methods
and measured data. The results show that there is a very clear and significant improvement
in the performance of the TLM technique if the precise placement scheme given
here is used.
A Doctoral Thesis. Submitted in partial fulfilment of the requirements for the award of Doctor of Philosophy of Loughborough University.