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Line 19: − + − <font color="red">Need to add possibly derivation of wave equation and definitely Maxwell's equation in presence. Need also to introduce D and H and relate them to E and B.</font> Line 38:
Line 37: − <math>\boldsymbol{D} = \epsilon_0 \boldsymbol{E}</math> − <math>\boldsymbol{B} = \mu_0 \boldsymbol{H}</math> − + − Gauss' Law: − − − − Gauss' Law for Magnetism: − − <math>\boldsymbol{\nabla \cdot B} = 0</math> − − Faradays's Law: − − − − Ampere's Law: − − <math>\boldsymbol{\nabla \times H} - \frac{\partial \boldsymbol{D}}{\partial t}= \boldsymbol{j} </math> − − − Back to [[Mapping diamond surfaces using interference]]
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== In the presence of charges and dielectric media ==
== In the Presence of Charges and Dielectric Media ==
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Where <math>\boldsymbol{D} = \epsilon_0 \boldsymbol{E}</math> and <math>\boldsymbol{B} = \mu_0 \boldsymbol{H}</math>.
<math>\boldsymbol{\nabla \cdot D} = \rho </math>
<math>\boldsymbol{\nabla \times E} + \frac{\partial \boldsymbol{B}}{\partial t}= 0</math>