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\vec D

L2TI

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: \mathbf D = \varepsilon_0 \mathbf E + \mathbf P.

: \mathbf D = \mathbf E + 4\pi \mathbf P.

,   ² (L2TI). \mathbf D \mathbf H , .

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(2 )

\mathrm{div}\, \mathbf D = 4\pi \rho
\mathrm{rot}\, \mathbf H = {4\pi \over c}\mathbf j + {1\over c}\frac{\partial \mathbf D}{\partial t}

\rho  , \mathbf j  . \mathbf D, , .

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, \mathbf D \mathbf E ( \mathbf H \mathbf B) . , :

\mathbf D_i = \sum\limits_{j=1}^{3}\varepsilon_{ij} \mathbf E_j

\varepsilon_{ij} . , , . , . \mathbf D

\mathbf D = \varepsilon \mathbf E

, \mathbf D \mathbf E ( ).

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D_n \mathbf D :

\lim_{\epsilon \to 0} \left(\frac{\partial \mathbf D}{\partial n}(\mathbf r +\epsilon\mathbf n) - \frac{\partial \mathbf D}{\partial n}(\mathbf r -\epsilon\mathbf n) \right) = 4\pi \sigma(\mathbf r) ( )
\lim_{\epsilon \to 0} \left(\frac{\partial \mathbf D}{\partial n}(\mathbf r +\epsilon\mathbf n) - \frac{\partial \mathbf D}{\partial n}(\mathbf r -\epsilon\mathbf n) \right) = \frac{\sigma(\mathbf r)}{\varepsilon_0} ( )

\tfrac{\partial \mathbf D}{\partial n} = (\mathbf n;\nabla) \mathbf D  , \mathbf r  , \mathbf n  , \sigma(\mathbf{r})  . ( ). , , \mathbf D . \mathbf D , \mathbf E .

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