longitudinalwellen und transversalwellen -...
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Longitudinalwellen und Transversalwellen
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Wellengleichung
Partielle Differentialgleichung
2 22
2 2
y yct x
=
( , ) cos( )y x t A kx t = +eine Lsung ist
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Kugelwelle
( )( , ) cosAy r t kr tr
= +
( )( , ) cosAy r t kr tr
= +
2-D:
3-D:
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Energie 2-D
( )
22
2
2
2 2
2
2 22 2 2 2
( , ) cos( )
sin( )
cos( )
2
22( ) cos ( ) sin ( )
2
pot
kin
tot
Az r t kr tr
dz A kr tdt rd z A kr tdt rF ma m z
m zE Fdz
m dzEdt
r A drE r kr t kr t A drr
=
=
=
= =
= =
=
= + =
= Massendichte [kg/m2]
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Interferenz zweier Oberflchenwellen
( ) ( )1 21 1 1 21 1
( , ) cos cosA Ay r t k r r t k r r tr r r r
= + + +
cT k
= =
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Interferenz zweier Oberflchenwellen
NahfeldFernfeldr >>
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Intensitt zweier interferierender Oberflchenwellen
Re(z)
Im(z)
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Re(z)
Im(z)
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