Application of the Transfer Matrix Method to Anti-reflective Coating Rendering

Benamira, Alexis; Pattanaik, Sumanta

doi:10.1007/978-3-030-61864-3_8

Cited by 4 publications

(3 citation statements)

References 23 publications

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“…Pearlescent materials Iridescent effects are also found in special effect paints that incorporate pearlescent flakes. Most previous work in Computer Graphics (e.g., [EKM01, SMAS08, EÖÖ16, BP20]) relies on transfer matrices to compute the reflectance of such flakes. The general framework introduced by Guillen et al [GMG*20] handles iridescent flakes embedded in a dielectric resin.…”

Section: Previous Workmentioning

confidence: 99%

Interactive Exploration of Vivid Material Iridescence using Bragg Mirrors

Fourneau,

Pacanowski,

Barla

2024

Computer Graphics Forum

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Many animals, plants or gems exhibit iridescent material appearance in nature. These are due to specific geometric structures at scales comparable to visible wavelengths, yielding so‐called structural colors. The most vivid examples are due to photonic crystals, where a same structure is repeated in one, two or three dimensions, augmenting the magnitude and complexity of interference effects. In this paper, we study the appearance of 1D photonic crystals (repetitive pairs of thin films), also called Bragg mirrors. Previous work has considered the effect of multiple thin films using the classical transfer matrix approach, which increases in complexity when the number of repetitions increases. Our first contribution is to introduce a more efficient closed‐form reflectance formula [Yeh88] for Bragg mirror reflectance to the Graphics community, as well as an approximation that lends itself to efficient spectral integration for RGB rendering. We then explore the appearance of stacks made of rough Bragg layers. Here our contribution is to show that they may lead to a ballistic transmission, significantly speeding up position‐free rendering and leading to an efficient single‐reflection BRDF model.

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Section: Previous Workmentioning

confidence: 99%

Interactive Exploration of Vivid Material Iridescence using Bragg Mirrors

Fourneau,

Pacanowski,

Barla

2024

Computer Graphics Forum

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“…The basic elements for the calculus of different structures using TMM are presented in [1], and the resistance calculations for the different structures are presented in [2]. In [3], the application of TMM to the reproduction of an antireflection layer is given. The transfermatrix factorization for symmetric optical systems is shown in [4].…”

Section: Introductionmentioning

confidence: 99%

Transfer-Matrix Method for Calculus of Long Cylinder Tube with Industrial Applications

Codrea,

Tripa,

Opruţa

et al. 2023

Mathematics

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The Transfer-Matrix Method (TMM) is an original and relatively simple mathematical approach for the calculus of thin-walled cylindrical tubes presented in this work. Calculation with TMM is much less used than calculation with the Finite Elements Method (FEM), even though it is much easier to apply in different fields. That is why it was considered imperative to present this original study. The calculus is based on Dirac’s and Heaviside’s functions and operators and on matrix calculation. The state vectors, the transfer-matrix, and the vector corresponding to the external efforts were defined, which were then used in the calculations. A matrix relation can be written, which gives the state vector of the last section depending on the state vector of the first section, a relation in which the conditions of the two end supports can be set. As an application, a heat exchanger was studied, with a large cylinder subjected to a uniformly distributed internal load, and from the inner cylinder bundle, a cylinder subjected to both uniform internal and external loads was considered. For the second cylinder, two possibilities of action for the external forces were considered, a successive action and a simultaneous action, achieving the same results in both situations. The TMM is intended to be used for iterative calculus in optimization problems where rapid successive results are required. In the future, we want to expand this method to other applications, and we want to develop related programs. This is an original theoretical study and is a complement to the research in the field on thin-walled cylinder tubes and their applications in heat exchangers.

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“…Since the 1970s, the principle of using surface structures and surface patterns has been used as an alternative to thin-film coatings for controlling spectral reflection and absorption. Anti-reflective treatments are used extensively in the optic industry for applications ranging from lenses, lasers, cameras, solar cells, and visible and near-infrared light systems to windows, missile domes, defense, and infrared laser systems [ 23 , 24 ]. In military, aerospace, and some industrial applications, which primarily utilizes infrared (IR) spectrum, reflection is a major issue.…”

Section: Introductionmentioning

confidence: 99%

Tungsten Based Spectrally Selective Absorbers with Anisotropic Rough Surface Texture

Pirouzfam

Şendur

2021

Nanomaterials

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Spectrally selective absorbers have received considerable interest due to their applications in thermophotovoltaic devices and as solar absorbers. Due to extreme operating conditions in these applications, such as high temperatures, thermo-mechanically stable and broadband spectrally selective absorbers are of interest. This paper demonstrates anisotropic random rough surfaces that provide broadband spectrally selective absorption for the thermo-mechanically stable Tungsten surfaces. Anisotropic random rough surface has different correlation lengths in the x- and y-directions, which means their topography parameters have directional dependence. In particular, we demonstrate that spectral absorptance of Tungsten random rough surfaces at visible (VIS) and near-infrared (NIR) spectral regions are sensitive to correlation length and RMS height variations. Our results indicate that by optimizing random rough surface parameters, absorption values exceeding 95% can be obtained. Moreover, our results indicate that anisotropic random rough surfaces broaden the bandwidth of the high absorption region. It is shown that in VIS and NIR regions, the absorption enhancements of up to 47% and 52% are achieved for the isotropic and anisotropic rough surfaces, respectively.

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Application of the Transfer Matrix Method to Anti-reflective Coating Rendering

Cited by 4 publications

References 23 publications

Interactive Exploration of Vivid Material Iridescence using Bragg Mirrors

Interactive Exploration of Vivid Material Iridescence using Bragg Mirrors

Transfer-Matrix Method for Calculus of Long Cylinder Tube with Industrial Applications

Tungsten Based Spectrally Selective Absorbers with Anisotropic Rough Surface Texture

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