Details
| Original language | English |
|---|---|
| Pages (from-to) | 1-5 |
| Number of pages | 5 |
| Journal | Photoacoustics |
| Volume | 13 |
| Early online date | 5 Nov 2018 |
| Publication status | Published - Mar 2019 |
Abstract
In this article we address the numeric inversion of optoacoustic signals to initial stress profiles. Therefore we study a Volterra integral equation of the second kind that describes the shape transformation of propagating stress waves in the paraxial approximation of the underlying wave-equation. Expanding the optoacoustic convolution kernel in terms of a Fourier-series, a best fit to a pair of observed near-field and far-field signals allows to obtain a sequence of expansion coefficients that describe a given “apparative” setup. The resulting effective kernel is used to solve the optoacoustic source reconstruction problem using a Picard-Lindelöf correction scheme. We verify the validity of the proposed inversion protocol for synthetic input signals and explore the feasibility of our approach to also account for the shape transformation of signals beyond the paraxial approximation including the inversion of experimental data stemming from measurements on melanin doped PVA hydrogel tissue phantoms.
Keywords
- Convolution kernel reconstruction, Optoacoustics, Tissue phantom, Volterra integral equation of the second kind
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Atomic and Molecular Physics, and Optics
- Medicine(all)
- Radiology Nuclear Medicine and imaging
Cite this
- Standard
- Harvard
- Apa
- Vancouver
- BibTeX
- RIS
In: Photoacoustics, Vol. 13, 03.2019, p. 1-5.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Optoacoustic inversion via convolution kernel reconstruction in the paraxial approximation and beyond
AU - Melchert, O.
AU - Wollweber, M.
AU - Roth, B.
N1 - Funding Information: We thank A. Demircan for commenting on an early draft of the manuscript and E. Blumenröther for providing experimental data. This research work received funding from the VolkswagenStiftung within the “Niedersächsisches Vorab” program in the framework of the project “Hybrid Numerical Optics” (HYMNOS; Grant ZN 3061). Valuable discussions within the collaboration of projects MeDiOO and HYMNOS at HOT are gratefully acknowledged. The publication of this article was funded by the Open Access Fund of the Leibniz Universität Hannover.
PY - 2019/3
Y1 - 2019/3
N2 - In this article we address the numeric inversion of optoacoustic signals to initial stress profiles. Therefore we study a Volterra integral equation of the second kind that describes the shape transformation of propagating stress waves in the paraxial approximation of the underlying wave-equation. Expanding the optoacoustic convolution kernel in terms of a Fourier-series, a best fit to a pair of observed near-field and far-field signals allows to obtain a sequence of expansion coefficients that describe a given “apparative” setup. The resulting effective kernel is used to solve the optoacoustic source reconstruction problem using a Picard-Lindelöf correction scheme. We verify the validity of the proposed inversion protocol for synthetic input signals and explore the feasibility of our approach to also account for the shape transformation of signals beyond the paraxial approximation including the inversion of experimental data stemming from measurements on melanin doped PVA hydrogel tissue phantoms.
AB - In this article we address the numeric inversion of optoacoustic signals to initial stress profiles. Therefore we study a Volterra integral equation of the second kind that describes the shape transformation of propagating stress waves in the paraxial approximation of the underlying wave-equation. Expanding the optoacoustic convolution kernel in terms of a Fourier-series, a best fit to a pair of observed near-field and far-field signals allows to obtain a sequence of expansion coefficients that describe a given “apparative” setup. The resulting effective kernel is used to solve the optoacoustic source reconstruction problem using a Picard-Lindelöf correction scheme. We verify the validity of the proposed inversion protocol for synthetic input signals and explore the feasibility of our approach to also account for the shape transformation of signals beyond the paraxial approximation including the inversion of experimental data stemming from measurements on melanin doped PVA hydrogel tissue phantoms.
KW - Convolution kernel reconstruction
KW - Optoacoustics
KW - Tissue phantom
KW - Volterra integral equation of the second kind
UR - http://www.scopus.com/inward/record.url?scp=85056498612&partnerID=8YFLogxK
U2 - 10.1016/j.pacs.2018.10.004
DO - 10.1016/j.pacs.2018.10.004
M3 - Article
AN - SCOPUS:85056498612
VL - 13
SP - 1
EP - 5
JO - Photoacoustics
JF - Photoacoustics
SN - 2213-5979
ER -