Convergent Born series improves the accuracy of numerical solution of time-independent photoacoustic wave equation

Kaushik, Anuj; Yalavarthy, Phaneendra K.; Saha, Ratan K.

doi:10.1080/09500340.2020.1777334

Cited by 11 publications

(7 citation statements)

References 11 publications

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“…We previously developed highly efficient approaches to solve the scalar Helmholtz equation 12 , and the time-harmonic Maxwell's equations in arbitrary anisotropic dielectric and magnetic materials 13 . Other authors have demonstrated its efficiency for isotropic media, as well as for sound and seismic waves [14][15][16] . We will now demonstrate that these approaches can be derived, analysed, and improved, within the proposed common framework.…”

Section: Resultsmentioning

confidence: 99%

A universal preconditioner for linear systems

Vettenburg¹,

Vellekoop²

2022

Preprint

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Section: Resultsmentioning

confidence: 99%

A universal preconditioner for linear systems

Vettenburg¹,

Vellekoop²

2022

Preprint

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“…The density inside and outside the source was taken as the same (ρ s = ρ f = 1000 kg/m 3 ); ϵ was fixed to 0.8k 2 f . Other optical and thermo-mechanical parameters were fixed to unity based on the literature [5,6,7]. The speed of sound of the ambient medium was fixed at v f = 1500 m/s.…”

Section: Simulation Methodologymentioning

confidence: 99%

“…The expression of the exact solution to Eq. ( 1) for a solid circular source can be found in the literature [5,6]. A schematic diagram is given in Fig.…”

Section: Theoretical Aspectmentioning

confidence: 99%

“…The CBS protocol works well for arbitrary large media with strong scattering potential. The TBS and CBS methods have recently been implemented to solve the inhomogeneous photoacoustic (PA) wave equation [5,6,7]. There exist two source terms in this equation.…”

Section: Introductionmentioning

confidence: 99%

“…In the previous works, the TBS and CBS algorithms were implemented in MATLAB [5,6,7]. It could handle a large computational domain of size 2148 × 2148 grid points with a spatial resolution of d x = d y = 100 nm.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

On the Born series methods for solving inhomogeneous Helmholtz equation in biomedical photoacoustics

Mandal,

Singh,

Saha

2023

Opto-Acoustic Methods and Applications in Biophotonics VI

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The Born series methods, namely, traditional Born series (TBS) and convergent Born series (CBS), have been recently implemented to numerically solve the time-independent photoacoustic (PA) wave equation for an acoustically inhomogeneous source. The TBS algorithm diverges when the sound-speed mismatch is >20%, however, the CBS technique provides faithful result even beyond this limit. These protocols are iterative in nature and computationally expensive. Currently, MATLAB-based implementations are available to study PA emission from a single source mimicking a cell. However, efficient numerical implementation strategy is further needed particularly to calculate PA field from a tissue. Therefore, to develop insights, uniprocessorbased C codes were realized for these schemes. The PA field (in 2D) was computed at a distance 35 µm from a source (a light absorbing disc of radius 7.5 µm) over a frequency range from 7.32 to 512 MHz with a resolution of 7.32 MHz. The sound-speed within the source region was varied from v s = 1200, 1500 and 1800 m/s, but the same quantity for the ambient medium was fixed to v f = 1500 m/s. The C program was found to be at least 10 times slower than the corresponding MATLAB program. It may be because MATLAB inherently implements parallel computing while evaluating the forward and backward fast Fourier transforms (FFTs) associated with the Born series approaches. Multiprocessor-based FFTs and parallel nested loops are being incorporated into the C program for enhancement of its execution speed.

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Predicting optoacoustic spectral behaviour of human erythrocytes, stomatocytes and echinocytes using a modified Green’s function method

Saha

2022

Eur Biophys J

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Convergent Born series improves the accuracy of numerical solution of time-independent photoacoustic wave equation

Cited by 11 publications

References 11 publications

A universal preconditioner for linear systems

A universal preconditioner for linear systems

On the Born series methods for solving inhomogeneous Helmholtz equation in biomedical photoacoustics

Predicting optoacoustic spectral behaviour of human erythrocytes, stomatocytes and echinocytes using a modified Green’s function method

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