Physics – Optics
Scientific paper
2011-09-23
Physics
Optics
31 pages, 5 figures
Scientific paper
In this paper, we review the methodology of transformation optics, which can construct invisibility cloak through the transformation of coordinates based on the form invariance of Maxwell's equations. Three different ways to define the components of electromagnetic fields are compared for removing some ambiguities. The analytical expressions of light-ray and wave-normal ray are derived in spherical and cylindrical ideal invisibility cloaks created with any continuous radial transformation functions, and their physical interpretation is also given. Using the duality principle in anisotropic media, we prove that light-ray vector satisfies "ray-vector eikonal equation" corresponding to the usual "wave-vector eikonal equation". The results interpret why the wave vector maps to the ray vector transferring from the virtual space to the physical space, but not the wave vector. As an application, we investigate the special transformation functions which make the light-ray function satisfy harmonic equation.
Ge Mo-Lin
Zhang Ruo-Yang
Zhao Qing
No associations
LandOfFree
Analytical form of light-ray tracing in invisibility cloaks does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Analytical form of light-ray tracing in invisibility cloaks, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Analytical form of light-ray tracing in invisibility cloaks will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-724351