A new spectral colour prediction model for a fluorescent ink printed on paper is presented. It is based on our previous work on transparent support4 and on a new mathematical formalism which generalizes the Kubelka-Munk theory. The printed paper is modelized by means of three matrices: an interface correction matrix, a matrix exponential modelizing the layer which contains the fluorescent ink, ...

Surface Acoustic Wave (SAW) filters are used in communication devices due to its small size and relatively superior performance at high frequencies in comparison to other competing filters. However, the design of SAW filter is always a critical issue due to requirement of small size as well as high performance parameters. Single Phase Unidirectional Transducers (SPUDTs) are the key element in d...

There are many different methods to obtain an orthogonal matrix. Householder discovered an orthogonal matrix, and it can be applied to solve physical problems of reflection. In this classroom note, we can obtain an orthogonal matrix group eAt, where A is antisymmetric with angular vector ω. When t is setting to be t=π/|ω|, eAt is equivalent to a Householder matrix of a reflecting plane with nor...

The principle of boundary bootstrap plays a significant role in the algebraic study of the purely elastic boundary reflection matrix Ka(θ) for integrable quantum field theory defined on a space-time with a boundary. However, general structure of that principle in the form as was originally introduced by Fring and Köberle has remained unclear. In terms of a new matrix Ja(θ) = √ Ka(θ)/Kā(iπ + θ),...

Simplified analytic expressions are derived for the optical propagation matrix of magnetic anisotropic Kerr media using the Lagrange–Sylvester interpolation polynomial. This expression is used to investigate magnetic Kerr films in Fabry–Pérot configurations, magneto-optic recording quadrilayers and alternating periodic stacks. It is found that the magneto-optic reflection coefficients are enhan...

2014 We present measurements of the light transmission of homeotropic smectic C* samples (DOBAMBC) at normal incidence as a function of temperature for different thicknesses in the whole spectral region where selective reflection occurs. Assuming that the transmission dip is a result of Bragg reflection, we obtain the temperature dependence of the pitch. The calculations of the reflection and t...

Several studies have indicated that scientists are likely to have an outlook on both facts and values that are different to that of lay people in important ways. This is one significant reason it is currently believed that in order for scientists to exercise a reliable ethical reflection about their research it is necessary for them to engage in dialogue with other stakeholders. This paper repo...

We characterize the virtual link invariants that can be described as partition function of a real-valued R-matrix, by being weakly reflection positive. Weak reflection positivity is defined in terms of joining virtual link diagrams, which is a specialization of joining virtual link diagram tangles. Basic techniques are the first fundamental theorem of invariant theory, the Hanlon–Wales theorem ...

To a finite subgroup Γ of SL2(C), we associate a new family of quantum algebras which are related to symplectic reflection algebras for wreath products Sl o Γ via a functor of Schur-Weyl type. We explain that they are deformations of matrix algebras over rank-one symplectic reflection algebras for Γ and construct for them a PBW basis. When Γ is a cyclic group, we are able to give more informati...