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WKB method
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Branch of physics
Continuum mechanics
Elasticity
Elastic-wave energy flux
Wavevector
Hamiltonian ray-tracing equations
Created
2026-09-24
Updated
2026-10-03
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The
WKB method
seeks
a
rapidly oscillating
field
in the form
ϕ
(
x
,
t
)
=
A
(
x
,
t
;
ε
)
e
i
θ
(
x
,
t
)
/
ε
,
0
<
ε
≪
1
,
(1)
and determines the phase and slowly varying
amplitude
order by order in
ε
.
Table of contents
Eikonal equation
WKB method
Eikonal equation
0
1
0
WKB method
The leading WKB phase obeys an
eikonal equation
. For
a
local
dispersion relation
ω
=
Ω
(
k
;
x
,
t
)
and
k
=
∇
θ
, it is
−
∂
t
θ
=
Ω
(
∇
θ
;
x
,
t
)
.
(1)
Ancestors
(8)
Hamiltonian ray-tracing equations
Wavevector
Elastic-wave energy flux
Elasticity
Continuum mechanics
Branch of physics
Physics
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Incoming links
(3)
Past exam of the mathematics course of the University of Cambridge
/
2006
/
iii
/
Paper 82
/
4
/
a
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2009
/
iii
/
Paper 57
/
3
/
iii
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2022
/
ii
/
Paper 3
/
39C
/
a
/
Solution
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