Zobrazeno 1 - 10
of 150
pro vyhledávání: '"P. A. Ten Thije"'
Autor:
Boonkkamp, J. H. M. ten Thije, Mitra, K., Anthonissen, M. J. H., Kusch, L., Braam, P. A., IJzerman, W. L.
We present a systematic derivation of three mathematical models of increasing complexity for optical design, based on Hamilton's characteristic functions and conservation of luminous flux, and briefly explain the connection with the mathematical theo
Externí odkaz:
http://arxiv.org/abs/2411.00758
Autor:
Braam, P. A., Boonkkamp, J. H. M. ten Thije, Anthonissen, M. J. H., Beltman, R., IJzerman, W. L.
In this paper, we discuss a mathematical model for inverse freeform design of an optical system with two reflectors in which light transfers from a point source to a point target. In this model, the angular light intensity emitted from the point sour
Externí odkaz:
http://arxiv.org/abs/2411.00596
This manuscript will unify inverse freeform reflector design and surface light scattering to design freeform reflectors with a scattering surface. We use microfacets, which are small, tilted mirrors superimposed on a smooth surface. We form a simple
Externí odkaz:
http://arxiv.org/abs/2403.00466
Concatenated backward ray mapping is an alternative for ray tracing in 2D. It is based on the phase-space description of an optical system. Phase space is the set of position and direction coordinates of light rays intersecting a surface. The origina
Externí odkaz:
http://arxiv.org/abs/2312.03366
Publikováno v:
Journal of Mathematics in Industry, Vol 14, Iss 1, Pp 1-21 (2024)
Abstract Imaging systems are inherently prone to aberrations. We present an optimization method to design two-dimensional (2D) freeform reflectors that minimize aberrations for various parallel ray beams incident on the optical system. We iteratively
Externí odkaz:
https://doaj.org/article/e036b964e3d54300a051abf7f5b5e1c8
We introduce a novel approach to calculating three-dimensional freeform reflectors with a scattering surface. Our method is based on optimal transport and utilizes a Fredholm integral equation to express scattering. By solving this integral equation
Externí odkaz:
http://arxiv.org/abs/2305.03484
Publikováno v:
Journal of Mathematics in Industry, Vol 14, Iss 1, Pp 1-21 (2024)
Abstract Concatenated backward ray mapping is an alternative for ray tracing in 2D. It is based on the phase-space description of an optical system. Phase space is the set of position and direction coordinates of light rays intersecting a surface. Th
Externí odkaz:
https://doaj.org/article/f4e244ca1b924de58ce4d37919e01351
Autor:
Bertens, Maikel W. M. C., Anthonissen, Martijn J. H., Boonkkamp, Jan H. M. ten Thije, IJzerman, Wilbert L.
A least-squares method for solving the hyperbolic Monge-Amp\`ere equation with transport boundary condition is introduced. The method relies on an iterative procedure for the gradient of the solution, the so-called mapping. By formulating error funct
Externí odkaz:
http://arxiv.org/abs/2303.15459
We apply the Lie algebraic method to reflecting optical systems with plane-symmetric freeform mirrors. Using analytical ray-tracing equations we construct an optical map. The expansion of this map gives us the aberration coefficients in terms of init
Externí odkaz:
http://arxiv.org/abs/2302.03960
We combine two-dimensional freeform reflector design with a scattering surface modelled using microfacets, i.e., small specular surfaces representing surface roughness. The model results in a convolution integral for the scattered light intensity dis
Externí odkaz:
http://arxiv.org/abs/2211.03629