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Computing the Energy of High Frequency Waves in a Confined Domain
KTH, School of Information and Communication Technology (ICT).
2012 (English)Independent thesis Basic level (degree of Bachelor), 10 credits / 15 HE creditsStudent thesis
Abstract [sv]

En metod för att beräkna energin hos ett högfrekvent vågfält inuti en begränsad tvådimensionell domän presenteras. Metoden är baserad på att approximera energin medelst strålföljning. Strålarna startar i en punktkälla och reflekteras (perfekt) vid domänens gräns. Energin i en del av domänen är summan av energierna i de strålar som passerar igenom den.

Metoden har implementerats i datorprogrammet MATLAB. Numeriska experiment har gjorts för olika fall. Bland dessa är ett enkelt fall där den korrekta lösningen är känd och det har konstaterats att metoden då konvergerar mot denna rätt lösning. Resultat för ett fall där den korrekta lösningen är okänd har jämförts med en simulering av Helmholtz ekvation med hjälp av programmet COMSOL Multiphysics.

Abstract [en]

A method for computing the energy of the high frequency wave field inside a bounded two-dimensional domain is presented. The method is based on approximating the energy using ray tracing. The rays originate from a point source and are reflected (perfectly) at the boundary. The energy in a part of the domain is the sum of the energies in the rays passing through it.

The method has been implemented in the computing program MATLAB. Numerical experiments have been made for various cases. Among these is a simple case where the correct solution is known and it has been verified that the method converges towards this correct solution. Results for a case where the correct solution is unknown have been compared with a simulation of Helmholtz equation using the program COMSOL Multiphysics.

Place, publisher, year, edition, pages
2012. , 18 p.
Series
TRITA-ICT-EX, 2012:190
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:kth:diva-102406OAI: oai:DiVA.org:kth-102406DiVA: diva2:552630
Subject / course
Microelectronics and Applied Physics
Educational program
Master of Science in Engineering - Microelectronics
Uppsok
Technology
Examiners
Available from: 2012-09-26 Created: 2012-09-14 Last updated: 2017-05-23Bibliographically approved

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CiteExportLink to record
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Citation style
  • apa
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Output format
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