Fresnel diffraction theory

E23939

Fresnel diffraction theory is a wave-optics framework that describes how light diffracts when source or observation distances are finite, using near-field approximations derived from the Huygens–Fresnel principle.

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Observed surface forms (6)


Statements (47)

Predicate Object
instanceOf optics theory
physical theory
wave optics framework
appliesTo intermediate-field diffraction regime
near-field diffraction regime
approaches Fraunhofer diffraction in far-field limit
assumes monochromatic illumination in basic form
scalar wave approximation
basedOn Huygens–Fresnel principle
category diffraction theory
concerns interference of secondary wavelets
contrastedWith Fraunhofer diffraction
surface form: Fraunhofer diffraction theory
describes diffraction with finite observation distance
diffraction with finite source distance
near-field diffraction of light
developedFrom Huygens–Fresnel principle
surface form: Huygens principle
explains Fresnel zones
diffraction by edges and obstacles in near field
diffraction patterns of apertures at finite distances
zone plate focusing
field optics
physics
generalizationOf geometrical optics shadow boundary description
historicalPeriod 19th century
implementedBy Fresnel diffraction theory self-linksurface differs
surface form: Fresnel transform
mathematicallyFormulatedAs Fresnel diffraction theory self-linksurface differs
surface form: Fresnel diffraction integral
models complex amplitude distribution in observation plane
namedAfter Augustin-Jean Fresnel
notApplicableTo far-field limit where Fraunhofer diffraction applies
relatedConcept Kirchhoff diffraction theory
surface form: Rayleigh–Sommerfeld diffraction theory

angular spectrum method
relatedTo Fresnel zones
surface form: Fresnel zone construction

Kirchhoff diffraction theory
requires finite propagation distance between aperture and observation plane
subfieldOf physical optics
wave optics
usedIn X-ray optics
coherent diffraction imaging
design of diffractive optical elements
electron microscopy
holography
optical imaging analysis
propagation-based phase-contrast imaging
uses Fresnel integrals
complex exponential phase factors
usesApproximation paraxial approximation
quadratic phase approximation

Referenced by (9)

Full triples — surface form annotated when it differs from this entity's canonical label.

Augustin-Jean Fresnel familyName Fresnel diffraction theory
this entity surface form: Fresnel
Fresnel zone plates governedBy Fresnel diffraction theory
subject surface form: Fresnel zone plate
this entity surface form: Fresnel diffraction
Poisson spot hasDiscoveryContext Fresnel diffraction theory
this entity surface form: Fresnel–Poisson diffraction experiment
Fresnel diffraction theory implementedBy Fresnel diffraction theory self-linksurface differs
this entity surface form: Fresnel transform
Poisson spot isRelatedTo Fresnel diffraction theory
this entity surface form: Fresnel diffraction
Augustin-Jean knownFor Fresnel diffraction theory
subject surface form: Augustin-Jean Fresnel
this entity surface form: Fresnel diffraction
Fresnel diffraction theory mathematicallyFormulatedAs Fresnel diffraction theory self-linksurface differs
this entity surface form: Fresnel diffraction integral
Huygens–Fresnel principle relatedTo Fresnel diffraction theory
Mémoire sur la double réfraction relatedTo Fresnel diffraction theory
this entity surface form: Fresnel wave theory