Refraction

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Gradient Index Lens

Introduction

Refraction is the word used to describe the phenomenon of a change in direction that an electromagnetic wave travels in.[1] Electromagnetic radiation (which includes light) is observed to change direction when it's velocity changes. How much this velocity differs from the velocity in a vacuum is commonly called the refractive index. The vacuum value is set to 1 for all wavelengths of electromagnetic radiation.

This property of a medium has a few different names.

NAME
Index of Refraction
Refractive Index
Optical Density
Relative permittivity and permeability


Beginner

Advanced

It is commonly believed that the absolute value of the refractive index is what causes electromagnetic radiation to bend. This is an incorrect view. The change of direction of electromagnetic radiation occurs when the absolute refractive index along an arbitrary path of travel changes.

Standard Physics Models of Refraction

The magnitude of change in the direction of the electromagnetic radiation is related to the magnitude of the difference in refractive indexes. This can be modeled as a discrete boundary (Snell's Law). In this case, the relative refractive index values at the boundary determine the change in direction. The standard usage of this model is when the medium has a well-defined boundary between two isotropic homogenous mediums.

Representation of a Two Medium Medium Model


Example diagram
INFOGRAPHIC ABSOLUTE AND RELATIVE RI
Well-Defined Boundary



Refraction can also be modeled as a continuum according to Fermat's principle of least time. This method is necessary to model the path of electromagnetic radiation through certain types of mediums. The conditions for usage would be for mediums that have one or more of these properties: ill-defined boundaries, are inhomogeneous, are anisotropic. A medium with these properties is known as a Gradient Index Medium.

Representation of a Gradient Index Medium Model


Example Curve Fit to multi-layer
Example Two Layer Refraction
Example multi-layer reraction


Expert

References