Sommerfeld–Brillouin precursor theory

E234763

Sommerfeld–Brillouin precursor theory is a classical electromagnetic wave theory that explains how transient signal fronts (precursors) propagate through dispersive media before the main wave arrives.

All labels observed (4)

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Statements (49)

Predicate Object
instanceOf classical field theory ⓘ
electromagnetic wave theory ⓘ
physical theory ⓘ
appliesTo Lorentz-type media ⓘ
absorbing dielectrics ⓘ
dispersive optical media ⓘ
radio wave propagation in the ionosphere ⓘ
basedOn Maxwell's equations ⓘ
dispersion relations ⓘ
linear response theory ⓘ
coreConcept asymptotic analysis of wave propagation ⓘ
causality in dispersive media ⓘ
decomposition of a transient signal into distinct precursors ⓘ
role of dispersion in signal front propagation ⓘ
describes Brillouin precursors ⓘ
Sommerfeld precursors ⓘ
causal propagation of electromagnetic disturbances ⓘ
propagation of transient signal fronts in dispersive media ⓘ
signal fronts that precede the main wave packet ⓘ
developedIn early 20th century ⓘ
ensures compatibility of wave propagation with special relativity ⓘ
explains difference between group velocity and signal front velocity ⓘ
early-time behavior of electromagnetic pulses in absorbing media ⓘ
how information cannot propagate faster than the front velocity ⓘ
field dispersive media ⓘ
electromagnetism ⓘ
optics ⓘ
wave propagation ⓘ
hasApplication microwave and radio-frequency propagation in plasmas ⓘ
optical communications in dispersive fibers ⓘ
ultrafast optics ⓘ
hasConcept absorption coefficient as a function of frequency ⓘ
frequency-dependent refractive index ⓘ
step-modulated sinusoidal excitation ⓘ
influenced causality constraints in dispersive systems ⓘ
modern theories of optical pulse propagation ⓘ
studies of superluminal group velocities ⓘ
introducedBy Arnold Sommerfeld ⓘ
Léon Brillouin ⓘ
predicts a fast Sommerfeld precursor ⓘ
a slower Brillouin precursor ⓘ
main signal following the precursors ⓘ
relatedTo front velocity ⓘ
group velocity ⓘ
phase velocity ⓘ
signal velocity ⓘ
usesMethod Fourier integral representation of fields ⓘ
contour integration in the complex frequency plane ⓘ
saddle-point approximation ⓘ

How these facts were elicited

Referenced by (4)

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

Arnold Sommerfeld → knownFor → Sommerfeld–Brillouin precursor theory ⓘ
Sommerfeld–Brillouin precursor theory → describes → Sommerfeld precursors ⓘ
linked to: Sommerfeld–Brillouin precursor theory
Sommerfeld–Brillouin precursor theory → describes → Brillouin precursors ⓘ
linked to: Sommerfeld–Brillouin precursor theory
Marcel Brillouin → notableConcept → Brillouin precursor ⓘ
linked to: Sommerfeld–Brillouin precursor theory