Finite Element Simulation of Photoacoustic Pressure in a Resonant Photoacoustic Cell Using Lossy Boundary Conditions

L. Duggen, N. Lopes, M. Willatzen, H.-G. Rubahn

Research output: Contribution to journalJournal articleResearchpeer-review

Abstract

The finite-element method (FEM) is used to simulate the photoacoustic signal in a cylindrical resonant photoacoustic cell. Simulations include loss effects near the cell walls that appear in the boundary conditions for the inhomogeneous Helmholtz equation governing the acoustic pressure. Reasonably good agreement is obtained between theoretical results and experimental data. However, it was anticipated that loss mechanisms other than viscous and thermal boundary losses occur and should be included. Nevertheless, the feasibility to use FEM together with the derived boundary conditions to simulate the photoacoustic signal was demonstrated and good agreement with experiments for the actual resonance frequency and the quality factor of the cell was obtained despite its complicated geometry.
Original languageEnglish
JournalInternational Journal of Thermophysics
Volume32
Issue number4
Pages (from-to)774-785
ISSN0195-928x
DOIs
Publication statusPublished - 2011
Externally publishedYes

Keywords

  • FEM
  • Loss mechanisms
  • Mathematical modeling
  • Measurements
  • Photoacoustics
  • Resonance

Cite this

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title = "Finite Element Simulation of Photoacoustic Pressure in a Resonant Photoacoustic Cell Using Lossy Boundary Conditions",
abstract = "The finite-element method (FEM) is used to simulate the photoacoustic signal in a cylindrical resonant photoacoustic cell. Simulations include loss effects near the cell walls that appear in the boundary conditions for the inhomogeneous Helmholtz equation governing the acoustic pressure. Reasonably good agreement is obtained between theoretical results and experimental data. However, it was anticipated that loss mechanisms other than viscous and thermal boundary losses occur and should be included. Nevertheless, the feasibility to use FEM together with the derived boundary conditions to simulate the photoacoustic signal was demonstrated and good agreement with experiments for the actual resonance frequency and the quality factor of the cell was obtained despite its complicated geometry.",
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Finite Element Simulation of Photoacoustic Pressure in a Resonant Photoacoustic Cell Using Lossy Boundary Conditions. / Duggen, L.; Lopes, N.; Willatzen, M.; Rubahn, H.-G.

In: International Journal of Thermophysics, Vol. 32, No. 4, 2011, p. 774-785.

Research output: Contribution to journalJournal articleResearchpeer-review

TY - JOUR

T1 - Finite Element Simulation of Photoacoustic Pressure in a Resonant Photoacoustic Cell Using Lossy Boundary Conditions

AU - Duggen, L.

AU - Lopes, N.

AU - Willatzen, M.

AU - Rubahn, H.-G.

PY - 2011

Y1 - 2011

N2 - The finite-element method (FEM) is used to simulate the photoacoustic signal in a cylindrical resonant photoacoustic cell. Simulations include loss effects near the cell walls that appear in the boundary conditions for the inhomogeneous Helmholtz equation governing the acoustic pressure. Reasonably good agreement is obtained between theoretical results and experimental data. However, it was anticipated that loss mechanisms other than viscous and thermal boundary losses occur and should be included. Nevertheless, the feasibility to use FEM together with the derived boundary conditions to simulate the photoacoustic signal was demonstrated and good agreement with experiments for the actual resonance frequency and the quality factor of the cell was obtained despite its complicated geometry.

AB - The finite-element method (FEM) is used to simulate the photoacoustic signal in a cylindrical resonant photoacoustic cell. Simulations include loss effects near the cell walls that appear in the boundary conditions for the inhomogeneous Helmholtz equation governing the acoustic pressure. Reasonably good agreement is obtained between theoretical results and experimental data. However, it was anticipated that loss mechanisms other than viscous and thermal boundary losses occur and should be included. Nevertheless, the feasibility to use FEM together with the derived boundary conditions to simulate the photoacoustic signal was demonstrated and good agreement with experiments for the actual resonance frequency and the quality factor of the cell was obtained despite its complicated geometry.

KW - FEM

KW - Loss mechanisms

KW - Mathematical modeling

KW - Measurements

KW - Photoacoustics

KW - Resonance

U2 - 10.1007/s10765-010-0828-3

DO - 10.1007/s10765-010-0828-3

M3 - Journal article

VL - 32

SP - 774

EP - 785

JO - International Journal of Thermophysics

JF - International Journal of Thermophysics

SN - 0195-928X

IS - 4

ER -