Fresnel integrals

GPTKB entity

Statements (23)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:category gptkb:software
gptkbp:definedIn integrals of sine and cosine of quadratic argument
gptkbp:expressedIn C(x) = ∫₀ˣ cos(πt²/2) dt
S(x) = ∫₀ˣ sin(πt²/2) dt
gptkbp:field gptkb:mathematics
gptkb:optics
gptkbp:firstAppearance 19th century
gptkbp:hasAsymptoticForm yes
https://www.w3.org/2000/01/rdf-schema#label Fresnel integrals
gptkbp:namedAfter gptkb:Augustin-Jean_Fresnel
gptkbp:notation C(x)
S(x)
gptkbp:relatedTo gptkb:Airy_function
gptkb:Cornu_spiral
error function
complex error function
gptkbp:usedFor calculating light intensity in diffraction patterns
gptkbp:usedIn gptkb:Fresnel_diffraction
wave optics
diffraction theory
gptkbp:bfsParent gptkb:Augustin-Jean_Fresnel
gptkbp:bfsLayer 6