Babinet's principle

E131280

Babinet's principle is a fundamental concept in wave optics stating that the diffraction pattern from an opaque object is identical to that from a complementary aperture of the same shape, apart from the overall intensity.

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Babinet's principle canonical 2

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Predicate Object
instanceOf physical principle
principle of wave optics
appliesTo diffraction
electromagnetic waves
scalar waves
wave propagation
assumes far-field (Fraunhofer) conditions in common derivations
linearity of the wave equation
superposition principle
category classical electromagnetism
physical optics
coreIdea the diffraction pattern from an opaque object is identical to that from its complementary aperture apart from overall intensity
the sum of fields diffracted by a screen and its complementary aperture equals the field that would exist without any obstacle
countryOfOrigin France
describedIn electromagnetic theory textbooks
standard optics textbooks
field electromagnetism
optics
wave optics
formulatedBy Jacques Babinet
hasLimitation does not directly account for partial transparency or complex material responses without modification
near-field patterns of complementary structures are not generally identical
historicalPeriod 19th century
influenced aperture-antenna duality concepts
development of scalar diffraction theory
mathematicalFormulation U_screen + U_complement = U_0, where U denotes complex field amplitudes
namedAfter Jacques Babinet
relatedTo Fraunhofer diffraction
Fresnel diffraction theory
surface form: Fresnel diffraction

Huygens–Fresnel principle
superposition principle
relatesConcept complementary apertures
diffraction pattern
interference
opaque obstacles
usedFor predicting diffraction from complex shapes using complementary structures
simplifying diffraction calculations
usedIn X-ray diffraction analysis
analysis of diffraction gratings
antenna theory
aperture synthesis
design of optical elements
holography
microwave engineering
validWhen incident field is the same for object and complementary aperture
materials are perfectly absorbing or perfectly conducting in simple formulations

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Referenced by (2)

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

Poisson spot isRelatedTo Babinet's principle
Kirchhoff diffraction theory relatedConcept Babinet's principle