Rayleigh–Sommerfeld diffraction theory

E546393

diffraction theory physical optics model scalar diffraction theory

Rayleigh–Sommerfeld diffraction theory is a more rigorous scalar diffraction formulation that corrects limitations in Kirchhoff’s approach by using boundary conditions consistent with the wave equation.

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All labels observed (1)

Label	Occurrences
Rayleigh–Sommerfeld diffraction theory canonical	1

Statements (46)

Predicate	Object
instanceOf	diffraction theory ⓘ physical optics model ⓘ scalar diffraction theory ⓘ
applicableTo	coherent light ⓘ monochromatic waves ⓘ
approximates	vector electromagnetic fields by scalar fields ⓘ
assumes	scalar approximation ⓘ time-harmonic fields ⓘ
basedOn	Helmholtz equation NERFINISHED ⓘ scalar wave equation ⓘ
category	Diffraction ⓘ Theoretical optics ⓘ
corrects	Kirchhoff diffraction theory NERFINISHED ⓘ
derivedFrom	Green’s theorem NERFINISHED ⓘ Kirchhoff integral theorem NERFINISHED ⓘ
describes	far-field diffraction ⓘ near-field diffraction ⓘ propagation of optical fields through apertures ⓘ
ensures	continuity of field at aperture ⓘ continuity of normal derivative at aperture ⓘ
field	electromagnetic theory ⓘ optics ⓘ wave physics ⓘ
hasFormulation	Rayleigh–Sommerfeld first formula NERFINISHED ⓘ Rayleigh–Sommerfeld second formula NERFINISHED ⓘ
hasMathematicalForm	surface integral over aperture ⓘ
improvesOn	Kirchhoff boundary conditions NERFINISHED ⓘ
introducedBy	Arnold Sommerfeld NERFINISHED ⓘ Lord Rayleigh NERFINISHED ⓘ
involves	obliquity factor ⓘ
provides	more accurate boundary treatment than Kirchhoff theory ⓘ
relatedTo	Fraunhofer diffraction NERFINISHED ⓘ Fresnel diffraction NERFINISHED ⓘ angular spectrum method ⓘ
satisfies	Sommerfeld radiation condition NERFINISHED ⓘ wave equation boundary conditions ⓘ
usedFor	modeling high numerical aperture systems ⓘ near-field optical calculations ⓘ
usedIn	computational optics ⓘ digital holography ⓘ numerical propagation of wavefields ⓘ optical imaging system analysis ⓘ
uses	Green’s function NERFINISHED ⓘ Huygens–Fresnel principle NERFINISHED ⓘ
validFor	finite apertures ⓘ observation points on and off the optical axis ⓘ

Referenced by (1)

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

Kirchhoff diffraction theory → improvedBy → Rayleigh–Sommerfeld diffraction theory ⓘ