Jones calculus
E620785
Jones calculus is a mathematical formalism used in optics to represent and analyze the polarization state of light and its transformation by optical elements using complex vectors and matrices.
Statements (47)
| Predicate | Object |
|---|---|
| instanceOf |
mathematical formalism
ⓘ
polarization analysis method ⓘ |
| advantage |
compact matrix representation of polarization transformations
ⓘ
simple composition of multiple optical elements by matrix multiplication ⓘ |
| appliesTo | narrowband optical fields ⓘ |
| assumes |
coherent light
ⓘ
monochromatic light ⓘ |
| basedOn |
complex matrices
ⓘ
complex vectors ⓘ |
| canModel |
attenuation of polarization components
ⓘ
phase shifts between polarization components ⓘ |
| cannotDirectlyDescribe | partially polarized light ⓘ |
| cannotDirectlyDescribe | unpolarized light ⓘ |
| canRepresent |
birefringent media
ⓘ
linear polarizers ⓘ phase retarders ⓘ rotators ⓘ wave plates ⓘ |
| commonBasis |
horizontal and vertical polarization
ⓘ
left and right circular polarization ⓘ |
| coordinateBasis | orthogonal polarization basis ⓘ |
| describes |
amplitude of electric field components
ⓘ
phase of electric field components ⓘ |
| field |
optics
ⓘ
polarization optics ⓘ |
| introducedBy | R. Clark Jones NERFINISHED ⓘ |
| limitation |
not suitable for depolarizing elements
ⓘ
requires full coherence of light ⓘ |
| mathematicalDomain | linear algebra ⓘ |
| operation | outputJonesVector = JonesMatrix × inputJonesVector ⓘ |
| relatedTo |
Mueller calculus
ⓘ
Stokes parameters ⓘ |
| represents | fully polarized light ⓘ |
| representsOpticalElementAs | Jones matrix NERFINISHED ⓘ |
| representsPolarizationStateAs | Jones vector NERFINISHED ⓘ |
| transformationProperty | unitary matrices represent lossless elements ⓘ |
| typicalJonesMatrixSize | 2x2 complex matrix ⓘ |
| typicalJonesVectorForm | [E_x, E_y]^T ⓘ |
| usedFor |
analyzing polarization transformations
ⓘ
representing polarization states of light ⓘ |
| usedIn |
design of polarization-sensitive optical systems
ⓘ
ellipsometry ⓘ fiber optics ⓘ laser optics ⓘ optical engineering ⓘ polarimetry ⓘ |
| usesNumberSystem | complex numbers ⓘ |
Referenced by (1)
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