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.

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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 Sommerfeld–Brillouin precursor theory self-linksurface differs
surface form: Brillouin precursors

Sommerfeld–Brillouin precursor theory self-linksurface differs
surface form: 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

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Arnold Sommerfeld knownFor Sommerfeld–Brillouin precursor theory
Sommerfeld–Brillouin precursor theory describes Sommerfeld–Brillouin precursor theory self-linksurface differs
this entity surface form: Sommerfeld precursors
Sommerfeld–Brillouin precursor theory describes Sommerfeld–Brillouin precursor theory self-linksurface differs
this entity surface form: Brillouin precursors