Fresnel rhomb
Encyclopedia
A Fresnel rhomb is a prism
-like device designed in 1817 by Augustin-Jean Fresnel
for changing the polarization of light
waves to be circularly polarized
. Though the result is similar to that of using a wave plate
, the rhomb does not depend on birefringent
properties of the material. Hence, the same rhomb configuration can be used for many different wavelengths, limited only by the dispersive
properties of the material. This property is due to the polarization dependent phase shift at the rhomb interface, while for wave plates the polarization dependent phase shift is due to the wave's propagation through the material and is thus dependent on both the frequency and thickness of the plate.
The rhomb (usually a right-parallelepiped
) is shaped such that light entering one of the small faces is internally reflected
twice: once from each of the two sloped faces before exiting through the other small face. The angle of internal reflection is the same in each case, and each reflection produces a 45° (π/4 radian
s) phase
delay between the two linearly polarized components of the light. Hence on the first reflection, a linearly polarized beam will be elliptically polarized, and will emerge as circularly polarized on the second reflection.
For visible light and a glass
rhomb (refractive index
n ≈ 1.5), an internal reflection angle of incidence of 48° or 54.6° is required.
Prism (optics)
In optics, a prism is a transparent optical element with flat, polished surfaces that refract light. The exact angles between the surfaces depend on the application. The traditional geometrical shape is that of a triangular prism with a triangular base and rectangular sides, and in colloquial use...
-like device designed in 1817 by Augustin-Jean Fresnel
Augustin-Jean Fresnel
Augustin-Jean Fresnel , was a French engineer who contributed significantly to the establishment of the theory of wave optics. Fresnel studied the behaviour of light both theoretically and experimentally....
for changing the polarization of light
Light
Light or visible light is electromagnetic radiation that is visible to the human eye, and is responsible for the sense of sight. Visible light has wavelength in a range from about 380 nanometres to about 740 nm, with a frequency range of about 405 THz to 790 THz...
waves to be circularly polarized
Circular polarization
In electrodynamics, circular polarization of an electromagnetic wave is a polarization in which the electric field of the passing wave does not change strength but only changes direction in a rotary type manner....
. Though the result is similar to that of using a wave plate
Wave plate
A wave plate or retarder is an optical device that alters the polarization state of a light wave travelling through it.- Operation :A wave plate works by shifting the phase between two perpendicular polarization components of the light wave. A typical wave plate is simply a birefringent crystal...
, the rhomb does not depend on birefringent
Birefringence
Birefringence, or double refraction, is the decomposition of a ray of light into two rays when it passes through certain anisotropic materials, such as crystals of calcite or boron nitride. The effect was first described by the Danish scientist Rasmus Bartholin in 1669, who saw it in calcite...
properties of the material. Hence, the same rhomb configuration can be used for many different wavelengths, limited only by the dispersive
Dispersion (optics)
In optics, dispersion is the phenomenon in which the phase velocity of a wave depends on its frequency, or alternatively when the group velocity depends on the frequency.Media having such a property are termed dispersive media...
properties of the material. This property is due to the polarization dependent phase shift at the rhomb interface, while for wave plates the polarization dependent phase shift is due to the wave's propagation through the material and is thus dependent on both the frequency and thickness of the plate.
The rhomb (usually a right-parallelepiped
Parallelepiped
In geometry, a parallelepiped is a three-dimensional figure formed by six parallelograms. By analogy, it relates to a parallelogram just as a cube relates to a square. In Euclidean geometry, its definition encompasses all four concepts...
) is shaped such that light entering one of the small faces is internally reflected
Total internal reflection
Total internal reflection is an optical phenomenon that happens when a ray of light strikes a medium boundary at an angle larger than a particular critical angle with respect to the normal to the surface. If the refractive index is lower on the other side of the boundary and the incident angle is...
twice: once from each of the two sloped faces before exiting through the other small face. The angle of internal reflection is the same in each case, and each reflection produces a 45° (π/4 radian
Radian
Radian is the ratio between the length of an arc and its radius. The radian is the standard unit of angular measure, used in many areas of mathematics. The unit was formerly a SI supplementary unit, but this category was abolished in 1995 and the radian is now considered a SI derived unit...
s) phase
Phase (waves)
Phase in waves is the fraction of a wave cycle which has elapsed relative to an arbitrary point.-Formula:The phase of an oscillation or wave refers to a sinusoidal function such as the following:...
delay between the two linearly polarized components of the light. Hence on the first reflection, a linearly polarized beam will be elliptically polarized, and will emerge as circularly polarized on the second reflection.
For visible light and a glass
Glass
Glass is an amorphous solid material. Glasses are typically brittle and optically transparent.The most familiar type of glass, used for centuries in windows and drinking vessels, is soda-lime glass, composed of about 75% silica plus Na2O, CaO, and several minor additives...
rhomb (refractive index
Refractive index
In optics the refractive index or index of refraction of a substance or medium is a measure of the speed of light in that medium. It is expressed as a ratio of the speed of light in vacuum relative to that in the considered medium....
n ≈ 1.5), an internal reflection angle of incidence of 48° or 54.6° is required.
External link and references
- Hecht, E. (1987). Optics: Second Edition. Massachusetts: Addison-Wesley Publishing Company, Inc. ISBN 0-201-11611-1
- http://physics.kenyon.edu/EarlyApparatus/Polarized_Light/Fresnels_Rhomb/Fresnels_Rhomb.html