We combine two-dimensional freeform reflector design with a scattering surface modeled using microfacets, i.e., small, specular, surfaces representing roughness. The model resulted in convolution integral for the scattered light intensity distribution, which yields an inverse specular problem after deconvolution. Thus, shape of may be computed deconvolution, followed by solving typical design. found that presence few percentage difference terms radius, depending on amount system.

We develop a mesoscopic lattice model to study the morphology formation in interacting ternary mixtures with evaporation of one component. As concrete potential application our model, we wish capture morphologies as they are typically arising during fabrication organic solar cells. In this context, consider an evaporating solvent into which two other components dissolved, for 2-component coating solution that is drying on substrate. propose 3-spins dynamics describe evolution three species....

We perform a quantitative analysis of Monte Carlo simulation results phase separation in ternary blends upon evaporation one component. Specifically, we calculate the average domain size and plot it as function time to compute exponent obtained power law. compare discuss by two different methods, for three models: two-dimensional (2D) binary-state model (Ising model), 2D ternary-state with without evaporation. For models, study additionally dependence growth on concentration, temperature...

We present a novel approach of modelling surface light scattering in the context two-dimensional reflector design, relying on energy conservation and optimal transport theory. For isotropic cylindrically or rotationally symmetric systems with in-plane scattering, scattered distribution can be expressed as convolution between function, which characterises optical properties surface, specular distribution. Deconvolving this expression allows for traditional design procedures to used, whilst...

We introduce an approach to calculating three-dimensional freeform reflectors with a scattering surface. Our method is based on optimal transport and utilizes Fredholm integral equation express scattering. By solving this through process analogous deconvolution, we can recover typical specular design problem. Consequently, consider reflector surface as two-step wherein the target distribution first altered account for scattering, then resulting problem solved. verify our using custom...

This manuscript will unify inverse freeform reflector design and surface light scattering to reflectors with a surface. We use microfacets, which are small, tilted mirrors superimposed on smooth form simple model of roughness based the orientations microfacets. Using least-squares solver compute as starting point, we can subsequently alter using an optimization procedure account for scattering. After optimization, resulting produces desired scattered distribution. verify raytracing.

This paper proposes a methodology for the design of freeform reflectors with scattering surfaces. We use microfacets, which are small, tilted mirrors superimposed on smooth surface. form simple model surface roughness and light based orientations microfacets. Using least-squares solver to compute reflector as starting point, we can subsequently alter using an optimization procedure account scattering. After optimization, resulting produces desired scattered distribution. verify raytracing....

Abstract The internal structure of adhesive tapes determines the effective mechanical properties. This holds true especially for blended systems, here consisting acrylate and rubber phases. In this note, we propose a lattice-based model to study numerically formation morphologies within four-component mixture (of discrete particles) where solvent components evaporate. Mimicking interaction between rubber, acrylate, two different types solvents, relevant technology tapes, aim obtain realistic...

We develop a mesoscopic lattice model to study the morphology formation in interacting ternary mixtures with evaporation of one component. As concrete application our model, we wish capture morphologies as they are typically arising during fabrication organic solar cells. In this context, consider an evaporating solvent into which two other components dissolved, for 2-component coating solution that is drying on substrate. propose 3-spins dynamics describe evolution three species. main tool,...

We introduce a novel approach to calculating three-dimensional freeform reflectors with scattering surface. Our method is based on optimal transport and utilizes Fredholm integral equation express scattering. By solving this through process similar deconvolution, which we call `unfolding,' can recover typical specular design problem. Consequently, consider reflector surface as two-step wherein the target distribution first altered account for scattering, then resulting problem solved. verify...

The internal structure of adhesive tapes determines the effective mechanical properties. This holds true especially for blended systems, here consisting acrylate and rubber phases. In this note, we propose a lattice-based model to study numerically formation morphologies within four-component mixture (of discrete particles) where solvent components evaporate. Mimicking interaction between rubber, acrylate, two different types solvents, relevant technology tapes, aim obtain realistic...

We present a novel approach to computing reflectors with scattering surface in illumination optics. A model governed by Fredholm integral equation is derived. Solving this relation yields virtual specular target distribution, which we insert into Monge-Ampère least-squares numerical solver get reflector that the desired illumination.

We combine two-dimensional freeform reflector design with a scattering surface modelled using microfacets, i.e., small specular surfaces representing roughness. The model results in convolution integral for the scattered light intensity distribution, which yields an inverse problem after deconvolution. Thus, shape of may be computed deconvolution, followed by solving typical design.

We present a novel approach of modelling surface light scattering in the context freeform optical design. The model relies on energy conservation and optimal transport theory. For isotropic cylindrically or rotationally symmetric systems with in-plane scattering, scattered distribution can be expressed as convolution between function, which characterises properties surface, specular distribution. Deconvolving this expression allows for traditional reflector design procedures to used, whilst...

We present a novel approach of modelling surface light scattering in the context freeform optical design. Using energy conservation, we derive an integral relation between scattered and specular distributions. This reduces to convolution case isotropic plane incidence for cylindrically rotationally symmetric problems.