Chapter 1.   Equations

1.1.  Symbols and notations used

     To denote vector variables, we will use:
arrow above a letter $\vec{A}\text{, }\vec{B}\text{, }\vec{C}$ or bold letters $\mathbf{A}\text{, }\mathbf{B}\text{, }\mathbf{C}$.
Dot product (scalar) will be written as: $\vec{A}\cdot \vec{B}$ and vector cross product as: $\vec{A}\times \vec{B}$ .
      We will use nabla (del) operator $\mathrm{\nabla }$ as a vector for divergence operation $\mathrm{\nabla }\cdot$
and for curl operation $\mathrm{\nabla }\times$  .

The values used in Maxwell’s equations are denoted as follows:
      $D$      -      electric induction [C/m2]
      ${\rho }_E$     -       density of electric charge [C/m3]
      $B$      -       magnetic induction [Wb/m2]
      ${\rho }_M$    -       density of magnetic charge [Wb/m3]
      $E$      -       electric field strength [V/m]
      $J_M$    -       magnetic current density [V/m2]
      $H$      -       magnetic field strength [A/m]
      $J_E$     -       electric current density [A/m2]
      ${ϵ}_0$     -       vacuum permittivity [F/m]
      ${\mu }_0$     -       magnetic permeability of vacuum       ${\displaystyle =4\cdot \pi \cdot {10}^{-7}}$ [H/m]
      $c$       -      speed of light in vacuum  ${\displaystyle c=\frac{1}{\sqrt{{ϵ}_0\cdot {\mu }_0}}=2.997\cdot {10}^{\mathrm{+8}}}$ [m/s]
      letter “ $i$ ” used in equations denotes imaginary variable $i=\sqrt{-1}$ .

1.2.  The most general form of Maxwell’s equations