Publications – Freeform Scattering Optics

In this page, you can find a list of all the publications of the program, separated by University. This information is automatically updated daily from our Zotero group, which is also available to the public. Click here to learn more.

Delft University of Technology (TU Delft)

4400182 7VMBQS4X 1 nature-no-et-al 50 date 72 https://www.freeformscatteringoptics.com/wp-content/plugins/zotpress/

Kotte, T. P. S., Adam, A. J. L., Zuidwijk, T., Heerkens, C. T. H., Xu, M. & Urbach, H. P. Broadband directional scattering through a phase difference acquired in composite nanoparticles. Opt. Express 31, 38815 (2023).

Koning, B. de, Heemels, A., Adam, A. & Möller, M. Gradient descent-based freeform optics design for illumination using algorithmic differentiable non-sequential ray tracing. Optim Eng https://doi.org/10.1007/s11081-023-09841-9 (2023) doi:10.1007/s11081-023-09841-9.

Heemels, A., De Koning, B., Möller, M. & Adam, A. Optimizing freeform lenses for extended sources with algorithmic differentiable ray tracing and truncated hierarchical B-splines. Preprint at https://doi.org/10.1364/opticaopen.24033732.v1 (2023).

Heemels, A. N. M., Adam, A. J. L. & Urbach, H. P. Limits of realizing irradiance distributions with shift-invariant illumination systems and finite étendue sources. J. Opt. Soc. Am. A 40, 1289 (2023).

De Haan, G., Verrina, V., Adam, A. J. L., Zhang, H. & Planken, P. C. M. Plasmonic enhancement of photoacoustic-induced reflection changes. Applied Optics 60, (2021).

Dou, X., Pereira, S. F., Min, C., Zhang, Y., Meng, P., Urbach, H. P. & Yuan, X. Determination of steep sidewall angle using polarization-sensitive asymmetric scattering. Meas. Sci. Technol. 32, 085201 (2021).

Xi, Z., Konijnenberg, S. & Urbach, H. P. Information-Efficient Metagrating for Transverse-Position Metrology. Phys. Rev. Applied 14, 014026 (2020).

Kolenov, D., Urbach, H. P. & Pereira, S. F. Effect of polarization in evanescent wave amplification for the enhancement of scattering of nanoparticles on surfaces. OSA Continuum 3, 742 (2020).

Eindhoven University of Technology (TU/e)

4400182 I3URBDUW 1 nature-no-et-al 50 date 72 https://www.freeformscatteringoptics.com/wp-content/plugins/zotpress/

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Kronberg, V. C. E., Anthonissen, M. J. H., ten Thije Boonkkamp, J. H. M. & IJzerman, W. L. Two-dimensional freeform reflector design with a scattering surface. J. Opt. Soc. Am. A 40, 661 (2023).

Bertens, M. W. M. C., Anthonissen, M. J. H., Boonkkamp, J. H. M. ten T. & IJzerman, W. L. An Iterative Least-Squares Method for the Hyperbolic Monge-Amp\`ere Equation with Transport Boundary Condition. Preprint at http://arxiv.org/abs/2303.15459 (2023).

Kronberg, V. C. E., Anthonissen, M. J. H., ten Thije Boonkkamp, J. H. M. & IJzerman, W. L. Modelling Surface Light Scattering for Inverse Two-Dimensional Reflector Design. J. Eur. Opt. Society-Rapid Publ. https://doi.org/10.1051/jeos/2023014 (2023) doi:10.1051/jeos/2023014.

Kronberg, V. C. E., Anthonissen, M. J. H., Ten Thije Boonkkamp, J. H. M. & IJzerman, W. L. Three-dimensional freeform reflector design with a scattering surface. J. Opt. Soc. Am. A 40, 1568 (2023).

Bertens, M. W. M. C., Vugts, E. M. T., Anthonissen, M. J. H., ten Thije Boonkkamp, J. H. M. & IJzerman, W. L. Numerical methods for the hyperbolic Monge-Ampère equation based on the method of characteristics. Partial Differ. Equ. Appl. 3, 52 (2022).

Bertens, M. W. M. C., Anthonissen, M. J. H., IJzerman, W. L. & ten Thije Boonkkamp, J. H. M. Design of optical surfaces conform the hyperbolic Monge-Ampère equation. EPJ Web Conf. 266, 02003 (2022).

van Gestel, R. A. M., Anthonissen, M. J. H., ten Thije Boonkkamp, J. H. M. & IJzerman, W. L. An Ader Discontinuous Galerkin Method on Moving Meshes for Liouville’s Equation of Geometrical Optics. SSRN Journal https://doi.org/10.2139/ssrn.4177663 (2022) doi:10.2139/ssrn.4177663.

ten Thije Boonkkamp, J. H. M., Romijn, L. B. & IJzerman, W. L. Generalized Monge–Ampère Equations for Freeform Optical System Design. in Numerical Mathematics and Advanced Applications ENUMATH 2019 (eds Vermolen, F. J. & Vuik, C.) vol. 139 991–999 (Springer International Publishing, Cham, 2021).

Romijn, L. B., Anthonissen, M. J. H., ten Thije Boonkkamp, J. H. M. & IJzerman, W. L. Generating-function approach for double freeform lens design. J. Opt. Soc. Am. A 38, 356 (2021).

Romijn, L. B., ten Thije Boonkkamp, J. H. M., Anthonissen, M. J. H. & IJzerman, W. L. An Iterative Least-Squares Method for Generated Jacobian Equations in Freeform Optical Design. SIAM J. Sci. Comput. 43, B298–B322 (2021).

Bertens, M. W. M. C., Vugts, E. M. T., Anthonissen, M. J. H., Boonkkamp, J. H. M. ten T. & IJzerman, W. L. Numerical Methods for the Hyperbolic Monge-Ampère Equation Based on the Method of Characteristics. arXiv:2104.11659 [cs, math] http://arxiv.org/abs/2104.11659 (2021).

Anthonissen, M. J. H., Romijn, L. B., ten Thije Boonkkamp, J. M. H. & IJzerman, W. A unified mathematical framework for freeform optical design. Accepted for publication in Optics Express (2021).

van Gestel, R. A. M., Anthonissen, M. J. H., Boonkkamp, J. H. M. ten T. & IJzerman, W. L. An Energy Conservative hp-method for Liouville’s Equation of Geometrical Optics. J Sci Comput 89, 27 (2021).

Kronberg, V. C. E., Anthonissen, M. J. H., ten Thije Boonkkamp, J. H. M. & IJzerman, W. L. An Inverse Model for Two-dimensional Reflectors With Scattering. EPJ Web Conf. 255, 02003 (2021).

Romijn, L. B., Boonkkamp, J. H. M. ten T. & IJzerman, W. L. A Monge-Ampère Least-Squares Solver for the Design of a Freeform Lens. in Numerical Mathematics and Advanced Applications ENUMATH 2019 (eds Vermolen, F. J. & Vuik, C.) 833–840 (Springer International Publishing, Cham, 2021). http://doi.org/10.1007/978-3-030-55874-1_82.

Romijn, L. B., ten Thije Boonkkamp, J. H. M. & IJzerman, W. L. Inverse reflector design for a point source and far-field target. Journal of Computational Physics 408, 109283 (2020).

Romijn, L. B., Anthonissen, M. J. H., ten Thije Boonkkamp, J. H. M. & IJzerman, W. L. Numerically solving generated Jacobian equations in freeform optical design. EPJ Web Conf. 238, 02001 (2020).

ten Thije Boonkkamp, J., Romijn, L. & IJzerman, W. L. Generalized Monge-Ampère equations for illumination freeform design. in Optical Design and Testing IX (eds Benítez, P., Matoba, O. & Wang, Y.) 3 (SPIE, Hangzhou, China, 2019). http://doi.org/10.1117/12.2536482.

Romijn, L. B., Boonkkamp, J. H. M. ten T. & IJzerman, W. L. Freeform lens design for a point source and far-field target. J. Opt. Soc. Am. A, JOSAA 36, 1926–1939 (2019).

ten Thije Boonkkamp, J., IJzerman, W., Romijn, L. & Yadav, N. Monge-Ampère type equations for freeform illumination optics. in Illumination Optics V (eds Kidger, T. E. & David, S.) 9 (SPIE, Frankfurt, Germany, 2018). http://doi.org/10.1117/12.2313220.

University of Twente (UT)

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Akdemir, O., Truong, M. D., Rates, A., Lagendijk, A. & Vos, W. L. Probing the position-dependent optical energy fluence rate in three-dimensional scattering samples. Phys. Rev. A 110, 033520 (2024).

Rates, A., Lagendijk, A., Truong, M. D. & Vos, W. L. Experimentally mapping the scattering phases and amplitudes of a finite object by optical mutual scattering. Preprint at http://arxiv.org/abs/2407.18677 (2024).

Rates, A., Lagendijk, A., Adam, A. J. L., IJzerman, W. L. & Vos, W. L. Wavefront shaping through a free-form scattering object. Opt. Express 31, 43351 (2023).

Rates, A., Vrehen, J., Mulder, B., Ijzerman, W. L. & Vos, W. L. Enhanced secrecy in optical communication using speckle from multiple scattering layers. Opt. Express 31, 23897 (2023).

Goodwin, M. J., Harteveld, C. A. M., de Boer, M. J. & Vos, W. L. Deep reactive ion etching of cylindrical nanopores in silicon for photonic crystals. Nanotechnology 34, 225301 (2023).

Truong, M. D., Lagendijk, A. & Vos, W. L. Sensing the position of a single scatterer in an opaque medium by mutual scattering. Opt. Express 31, 15058 (2023).

Hong, P. & Vos, W. L. Controlled light scattering of a single nanoparticle by wave-front shaping. Phys. Rev. A 106, 063502 (2022).

Truong, M. D., Lagendijk, A. & Vos, W. L. Sensing the position of a single scatterer in an opaque medium by mutual scattering. Preprint at https://doi.org/10.48550/arXiv.2211.16924 (2022).

Akdemir, O., Lagendijk, A. & Vos, W. L. Breakdown of light transport models in photonic scattering slabs with strong absorption and anisotropy. Phys. Rev. A 105, 033517 (2022).

Rates, A., Lagendijk, A., Akdemir, O., Mosk, A. P. & Vos, W. L. Observation of mutual extinction and transparency in light scattering. Phys. Rev. A 104, 043515 (2021).

Uppu, R., Adhikary, M., Harteveld, C. A. M. & Vos, W. L. Spatially Shaping Waves to Penetrate Deep inside a Forbidden Gap. Phys. Rev. Lett. 126, 177402 (2021).

Tajiri, T., Takahashi, S., Harteveld, C. A. M., Arakawa, Y., Iwamoto, S. & Vos, W. L. Reflectivity of three-dimensional GaAs photonic band-gap crystals of finite thickness. Phys. Rev. B 101, 235303 (2020).

Lagendijk, A., Mosk, A. P. & Vos, W. L. Mutual extinction and transparency of multiple incident light waves. EPL 130, 34002 (2020).

Adhikary, M., Uppu, R., Uppu, R., Harteveld, C. A. M., Grishina, D. A., Grishina, D. A. & Vos, W. L. Experimental probe of a complete 3D photonic band gap. Opt. Express, OE 28, 2683–2698 (2020).

Marakis, E., Uppu, R., Meretska, M. L., Gorter, K.-J., Vos, W. L. & Pinkse, P. W. H. Deterministic and Controllable Photonic Scattering Media via Direct Laser Writing. Advanced Optical Materials 8, 2001438 (2020).

Meretska, M. L., Vissenberg, G., Lagendijk, A., IJzerman, W. L. & Vos, W. L. Systematic Design of the Color Point of a White LED. ACS Photonics 6, 3070–3075 (2019).

Hack, S. A., van der Vegt, J. J. W. & Vos, W. L. Cartesian light: Unconventional propagation of light in a three-dimensional superlattice of coupled cavities within a three-dimensional photonic band gap. Phys. Rev. B 99, 115308 (2019).

Devashish, D., Ojambati, O. S., Hasan, S. B., van der Vegt, J. J. W. & Vos, W. L. Three-dimensional photonic band gap cavity with finite support: Enhanced energy density and optical absorption. Phys. Rev. B 99, 075112 (2019).