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α − talRis sawyisi faza<br />
⎛ x ⎞<br />
ω⎜t<br />
− ⎟ + α − talRis fazaa<br />
⎝ v ⎠<br />
v − talRis gavrcelebis siCqare<br />
x t droSi talRis gavlili gzaa.<br />
2π<br />
ω<br />
talRuri ricxvi k = = ,<br />
λ v<br />
sadac λ talRis sigrZea, ω − wriuli sixSire, v − talRis siCqare.<br />
talRuri veqtoria k , romlis moduli tolia talRuri ricxvis,<br />
mimarTulia talRuri zedapiris marTobulad.<br />
brtyeli talRis gantoleba, romelic vrceldeba k veqtoriT<br />
gansazRvruli mimarTulebiT, iqneba:<br />
ξ ( r , t)<br />
= Acos(<br />
ωt<br />
− kr<br />
+ α).<br />
sadac r − dakvirvebis wertilis radius veqtoria;<br />
α − rxevis faza r = 0 wertilSi, rodesac t = 0,<br />
anu rxevis faza<br />
koordinatTa saTaveSi.<br />
4.8. talRuri gantoleba<br />
talRuri gantoleba _ meore rigis diferencialuri gantolebaa da<br />
aRwers talRebis gavrcelebas erTgvarovan da izotropiul garemoSi:<br />
an<br />
2 2 2<br />
2<br />
∂ ξ ∂ ξ ∂ ξ 1 ∂ ξ<br />
+ + =<br />
2 2 2 2 2<br />
∂x<br />
∂y<br />
∂z<br />
v ∂t<br />
Δξ<br />
=<br />
66<br />
1<br />
2<br />
∂ ξ<br />
2 2<br />
v ∂t<br />
sadac ξ -fizikuri sididea, axasiaTebs SeSfoTebis gavrcelebas<br />
garemoSi v siCqariT, Δ- laplasis operatori<br />
∂<br />
Δ =<br />
∂<br />
2<br />
∂<br />
+<br />
∂<br />
2<br />
2<br />
∂<br />
+<br />
z<br />
2 2<br />
x y ∂<br />
brtyeli talRisTvis talRuri gantoleba Caiwereba:<br />
2<br />
2<br />
∂ ξ<br />
1 ∂ ξ<br />
= 2 2 2<br />
∂x<br />
v ∂t<br />
2