We present an alternative method to ray tracing that is based on a phase space description of light propagation. Liouville’s equation geometrical optics describes the evolution basic luminance space. At optical interface, laws describe non-local boundary conditions for luminance. A discontinuous Galerkin employed solve dielectric total internal reflection concentrator.

In this work we examine the use of ray-transfer matrices for teaching and for deriving some topics in a Fourier optics course, exploiting the mathematical simplicity of ray matrices compared to diffraction integrals. A simple analysis of the physical meaning of the elements of the ray matrix provides a fast derivation of the conditions to obtain the optical Fourier transform. We extend this der...

The phase matrix and several quantities for single scattering by an arbitrarily oriented circular cylinder are formulated by using the approximation of ray optics, which includes geometrical reflection and refraction plus Fraunhofer diffraction; then the effects of polarization are considered. Computations were made using electromagnetic wave theory and ray optics approximations for m = 1.31-0....

In order to investigate the feasibility of using Kumakhov capillary x-ray optics for high energy x-ray applications, measurements have been performed on the behavior of capillary optics from 10 to 80 keV. Transmission efficiencies of straight polycapillary fibers of different types have been measured as a function of source location and x-ray energy. The measurements are analyzed using a geomet...

This study investigated pre-service science teachers’ conceptual understanding and confidence in geometrical optics with respect to gender their previous achievement course. A total of 189 (60% female 40% male) teachers who had completed course state universities Turkey participated this study. The test instrument consisted 20 items taken from the first tier Four-Tier Geometrical Optics Test (F...

Frank Grave, 2, ∗ Michael Buser, Thomas Müller, Günter Wunner, and Wolfgang P. Schleich 1 1. Institut für Theoretische Physik, Universität Stuttgart, Pfaffenwaldring 57 // IV, 70550 Stuttgart, Germany Visualisierungsinstitut der Universität Stuttgart, Universität Stuttgart, Nobelstraße 15, D-70569 Stuttgart, Germany Institut für Quantenphysik, Universität Ulm, D-89069 Ulm, Germany (Dated: Octob...

It is shown that the geometrical optics limit of the Maxwell equations for certain nonlinear media with slow variation along one axis and particular dependence of dielectric constant on the frequency and fields gives rise to the dispersionless Veselov-Novikov equation for refractive index. It is demonstrated that the last one is amenable to the quasiclassical ∂̄-dressing method. A connection is ...

In this paper we provide a framework for constructing general complex geometrical optics solutions for several systems of two variables that can be reduced to a system with the Laplacian as the leading order term. We apply these special solutions to the problem of reconstructing inclusions inside of a domain filled with known conductivity from local boundary measurements. Computational results ...

In previous work [1], we investigated the design of a two frequency synthetic aperture radar interferometer for estimating the sand layer thickness and the bedrock topography in deserts and arid areas. This was shown to be very useful in many applications such as oil field explorations, environmental studies and archaeological surveys. In order to test the inversion algorithm for different comp...