Talk:Refraction of light: Difference between revisions

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The denser a medium is, the slower will an electromagnetic wave propagate within it. The optical density (absorption) is described by refractive index value. The refractive index (n) is the ratio between the speed of light in vacuum and the material in consideration. Therefore, all media have a value n>1.
The denser a medium, the slower an electromagnetic wave will propagate inside of it. The optical density (absorption) is described by refractive index value. The refractive index (n) is the ratio between the speed of light in a vacuum and the material in consideration. Therefore, all media have a value n>1.




<math>n_x = {c_{Light} \over c_x}</math>
<math>n_x = {c_{Light} \over c_x}</math>


The propagation direction of light after refraction is dependent on the refractive index, n, and the angle of incidence as described by Snell´s law. The angle of incidence is the angle to the normal, i.e.. the line perpendicular to the surface, at the point of incidence. If a  ray passes from a medium with lower optical density to one of higher optical density, the angle of incidence becomes smaller, the ray is refracted and vice versa. Therefore, the ratio between the sines of the incident and refraction angles are equivalent to the ration of the refractive indices or phase velocities.
The propagation direction of light after refraction is dependent on the refractive index, n, and the angle of incidence as described by Snell´s law. The angle of incidence is the angle to the normal, i.e.. the line perpendicular to the surface, at the point of incidence. If a  ray passes from a medium with lower optical density to one of higher optical density, the angle of incidence becomes smaller, the ray is refracted and vice versa. Therefore, the ratio between the sines of the incident and refraction angles are equivalent to the ration of the refractive indices or phase velocities.





Revision as of 11:26, 5 May 2012

Authors: Anika Husen
back to Polarized light microscopy


Abstract

Introduction

When a ray of light passes from one material into a second one, refraction of light occurs, because it travels at a different speed in each of the two materials.

The process involves a change in wavelength due to the speed change at a given energy level, and since different wavelengths will have different refraction angles, a change in the direction of the light will also occur. This is best exemplified by the case of a prism where white light will be spread out into the spectral colors as it passes consecutively the two interfaces, air-glass and glass-air, that are at an angle:

Refraction of light is used in polarized light microscopy. Knowing the refractive index of one of the materials or phases, it is possible to estimate the refractive index of a second one in contact with it, a useful information for its eventual identification.

Light, waves and particles

Light is an electromagnetic radiation behaving as a wave that propels itself. Its propagation speed is c, the wave length l and the frequency f. Nevertheless, the wave behaves like a particle, especially at interfaces. Like a ball that is thrown against a wall, the light wave is reflected (at least partially) from the surface. The energy of light is in discrete units, called quanta, and their energy is constant for a given frequency of the wave.

Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle E=h*f }

h is Planck´s constant with the value

Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle h = 6,626*10^{ -34}\ [Js] = 4,136*10^{ -15}\ [eVs] }

Velocity or speed of light

The speed of light varies depending on the media it traverses. Light travels fastest in vacuum (c=1) and its speed differs little from the speed of light in air, therefore these values are often equated.


Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle C_{air} = 299792458\ [m/s]}


The denser a medium, the slower an electromagnetic wave will propagate inside of it. The optical density (absorption) is described by refractive index value. The refractive index (n) is the ratio between the speed of light in a vacuum and the material in consideration. Therefore, all media have a value n>1.


Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle n_x = {c_{Light} \over c_x}}

The propagation direction of light after refraction is dependent on the refractive index, n, and the angle of incidence as described by Snell´s law. The angle of incidence is the angle to the normal, i.e.. the line perpendicular to the surface, at the point of incidence. If a ray passes from a medium with lower optical density to one of higher optical density, the angle of incidence becomes smaller, the ray is refracted and vice versa. Therefore, the ratio between the sines of the incident and refraction angles are equivalent to the ration of the refractive indices or phase velocities.


Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle {\sin \alpha \over \sin \beta} = {v_1 \over v_2} = {n_1 \over n_2}}

Light refraction

Light refraction occurs due to the variation of the light speed within different media (as described above). When imagining a wave that moves forward within a body, lines of the same amplitude, parallel to the wavefront can be expected, if the viewing direction is vertical to the propagation direction. When these parallel lines strike a boundary surface at an angle, every point of incidence produces a new vibration, which propagates within the new material. However, because the light speed will be different in the second material, the wavelength and the distance between the parallels of the same amplitude will also change and consequently the propagation direction.

To simplify, only the parallel lines of the same amplitude are considered. If a vibration is triggered in the new material, it spreads spherically from each point. The spheres are superimposed at the tangent that intersects all surfaces of the individual waves. A new wavefront develops. Since the points, where the wave starts have intervals that depend on the wavelength and the angle of incidence, and because there is a specific time delay between the excitation of each individual point as a function of the speed within the first propagation medium, the wavefront in the second medium is differently orientated.


Diagrams missing!!

Literature

WebLinks

SLeithaeuser 12:32, 6 April 2012 (CEST)