We describe a quantitative and inexpensive method of demonstrating frustrated total internal reflection based on the attenuation of a laser beam through a wedge-shaped air gap between two glass prisms. An advantage of this method is that the thickness of the air gap can be determined by observing interference effects with only a slight modification of the setup. The experiment avoids the need t...

The invariant imbedding evolution equations for the amplitude reflection and transmission coefficients of a disordered 1D chain are shown to follow from the continuum limit, for weak disorder, of recursion relations between reflection (transmission) coefficients of Anderson chains of N andN−1 atoms embedded in infinite non-disordered chains. We show that various available analytical and numeric...

In [CS12], Chapuy and Stump studied factorizations of Coxeter elements into products of reflections in well-generated, irreducible complex reflection groups, giving a simple closed form expression for their exponential generating function depending on certain natural parameters. In this work, their methods are used to consider a more general multivariate generating function FACW (u1, . . . , u`...

An exact solution is given for the reflection of a plane wave normally incident on a rigid solid with periodically spaced semi-infinite circular holes. Analytical considerations, verified by numerical calculations, show that the reflection coefficient isunity at the cutoff requencies defined by the periodicity of the holes. This result is independent of the volume fraction of the holes. It impl...

Many natural objects, and in general layered materials, have non-linear reflection behaviour along the wavelengths. An accurate representation of phenomena such as interference and colour separation generally requires a fine spectral representation of light instead of the commonly used RGB components. In this article, we introduce and experiment with a general approach to create similar and con...

Images captured by a camera through glass often have reflection superimposed on the transmitted background. Among existing methods for reflection separation, multi-view methods are the most convenient to apply because they require the user to just take multiple images of a scene at varying viewing angles. Some of these methods are restricted to the simple case where the background scene and ref...

Coaching is inherently a reflective process. Constructivist theories of learning are well established and greatly inform thinking on coaching. The coaching practitioner literature promotes activities and offers many tools to aid reflection. While psychology provides some very pertinent theory, a review of practitioner literature finds little to help coaches understand how reflection actually wo...