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Fermat Light Ray Model
written by Wolfgang Christian
The Fermat Light Ray model shows a light ray traveling left to right through N homogeneous regions with different refractive indicies. Because light travels in a straight line through a homogenous medium, the path is determined by the vertical coordinates at each boundary. A data table allows users to set the region width w[i] and the refractive index n[i].
Fermat's principal states that the path taken by the light ray between the source and the detector is the path that requires the least time. The speed of light in each region is proportional to the refractive index in that region so the traversal time for region [i] is ?t=n[i]D where D is the ray-segment's length and we have chosen units such that the speed of light in vacuum c=1. The model begins with a straight path (light ray) connecting a source and a detector and computes the travel time for this ray. The travel time is recomputed when the boundary points, the source, or the detector are dragged. The simulation uses a simple Monte Carlo method to find for the minimum-time path when the run button is pressed.
The Fermat Light Ray model was developed using the Easy Java Simulations (EJS) modeling tool. It is distributed as a ready-to-run (compiled) Java archive. Double clicking the ejs_csm_ch07_FermatLightRay.jar file will run the program if Java is installed.
Please note that this resource requires at least version 1.5 of Java.
View the source code document attached to this resource
AAAS Benchmark Alignments (2008 Version)
4. The Physical Setting
4E. Energy Transformations
AAAS Benchmark Alignments (1993 Version)
4. THE PHYSICAL SETTING
E. Energy Transformations
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Fermat Light Ray Model:
Is Based On Easy Java Simulations Modeling and Authoring Tool
The Easy Java Simulations Modeling and Authoring Tool is needed to explore the computational model used in the Fermat Light Ray Model.relation by Wolfgang Christian
Is a Teaching Guide For Physics Classroom: The Cause of Refraction
Is a Teaching Guide For Physics Classroom: Optical Density and Light Speed
Is a Teaching Guide For Physics Classroom: The Direction of Bending
Is a Teaching Guide For Physics Classroom: Snell's Law
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