Publications
If you use Wavesim in your work, please cite the below publications.
The main reference for Wavesim, introducing the modified Born series approach for the Helmholtz equation, which was later generalized to vector fields.
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Osnabrugge, G., Leedumrongwatthanakun, S., & Vellekoop, I. M. (2016). A convergent Born series for solving the inhomogeneous Helmholtz equation in arbitrarily large media. Journal of Computational Physics, 322, 113-124. https://doi.org/10.1016/j.jcp.2016.06.034
Introduced a modified fast Fourier transform that enabled having an ultra-thin boundary layer, significantly reducing the computational costs and memory requirements.
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Osnabrugge, G., Benedictus, M., & Vellekoop, I. M. (2021). Ultra-thin boundary layer for high-accuracy simulations of light propagation. Optics Express, 29(2), 1649-1658. https://doi.org/10.1364/OE.412833
Introduced the domain decomposition of the modified Born series for the Helmholtz equation and the Python implementation of Wavesim.
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Mache, S., & Vellekoop, I. M. (2024). Domain decomposition of the modified born series approach for large-scale wave propagation simulations. arXiv preprint. arXiv:2410.02395.
Research Using WaveSim
Publications that have cited references Osnabrugge et al. (2016), Osnabrugge et al. (2021), and Mache and Vellekoop (2024) are listed below (extracted from Scopus on 18/12/2024).
Year Subject Area Publication
2025
Earth and Planetary Sciences
Xu Y., Sun J., Sun H. (2025). Lippmann-Schwinger equation representation of Green's function and its preconditioned generalized over-relaxation iterative solution in wavelet domain. Journal of Applied Geophysics, 232, 105570. https://doi.org/10.1016/j.jappgeo.2024.105570
2024
Biochemistry, Genetics and Molecular Biology
Ball J.M., Li W. (2024). Using high-resolution microscopy data to generate realistic structures for electromagnetic FDTD simulations from complex biological models. Nature Protocols, 19(5), 1348-1380. https://doi.org/10.1038/s41596-023-00947-z
2024
Physics and Astronomy
Li Z., Dong L., Xu M., Wei Y. (2024). Mask structure optimization for beyond EUV lithography. Optics Letters, 49(13), 3604-3607. https://doi.org/10.1364/OL.523596
2024
Earth and Planetary Sciences
Shekhar U., Jakobsen M., Iversen E., Berre I., Radu F.A. (2024). Microseismic wavefield modelling in anisotropic elastic media using integral equation method. Geophysical Prospecting, 72(2), 403-423. https://doi.org/10.1111/1365-2478.13416
2024
Biochemistry, Genetics and Molecular Biology
Kang S.K., Kim K., Jeong J., Hong S., Park Y., Shin J. (2024). In silico full-angle high-dynamic range scattering of microscopic objects exploiting holotomography. Biomedical Optics Express, 15(9), 5238-5250. https://doi.org/10.1364/BOE.528698
2024
Physics and Astronomy
De Graaff J.B.P., Van Der Sijs T.A., Urbach H.P., El Gawhary O. (2024). Cause of inaccuracies in the Padé approximant of the Born series for strong electromagnetic scattering problems. Physical Review A, 110(3), 033506. https://doi.org/10.1103/PhysRevA.110.033506
2024
Physics and Astronomy
He P., Liu J., Gu H., Jiang H., Liu S. (2024). Modified Born series with virtual absorbing boundary enabling large-scale electromagnetic simulation. Communications Physics, 7(1), 383. https://doi.org/10.1038/s42005-024-01882-5
2024
Engineering
Verrier N., Debailleul M., Haeberlé O. (2024). Recent Advances and Current Trends in Transmission Tomographic Diffraction Microscopy. Sensors, 24(5), 1594. https://doi.org/10.3390/s24051594
2024
Earth and Planetary Sciences
Sun H., Sun J. (2024). Acoustic wave propagation and scattering in visco-acoustic medium: Integral equation representation and De Wolf approximation. Journal of Applied Geophysics, 225, 105394. https://doi.org/10.1016/j.jappgeo.2024.105394
2024
Computer Science
Valantinas L., Vettenburg T. (2024). Scaling Up Wave Calculations with a Scattering Network. Intelligent Computing, 3, 0098. https://doi.org/10.34133/icomputing.0098