1 introduction

1.1 notation

• E[\frac{V}{m}] electric field
• D[\frac{C}{m^2}] electric flux density
• \epsilon[\frac{F}{m}] permittivity
• H[\frac{A}{m}] magnetic field
• B[\frac{Vs}{m^2}][T] magnetic flux density
• \mu[\frac{H}{m}] permeability
• J[\frac{A}{m^2}] electric current density
• \sigma[\frac{S}{m}] conductivity

1.2 properties of waves

• Wavelength \lambda - x length between periods
• Period T - time period of a sinusoidal wave
• Frequency f - how many periods per second

\lambda = \frac{c}{f}

f = \frac{1}{T}

1.3 electromagnetic wave EMF

Spatial distribution of an electric field (produced by stationary charges) and magnetic field (produced by moving charges/currents)

1.4 electromagnetic wave

Periodic (harmonic) variations of EMF in space (and time)

1.5 formulae

\vec D = \overline{\overline \epsilon} \vec E

\vec B = \overline{\overline \mu} \vec H

\vec J = \overline{\overline \sigma} \vec E

perms

\overline{\overline \epsilon} = \epsilon_0 \overline{\overline \epsilon}_r

\overline{\overline \mu} = \mu_0 \overline{\overline \mu}_r

where \epsilon_0 = \frac{10^{-9}}{36\pi}[\frac{F}{m}], \mu_0 = 4\pi10^{-7}[\frac{H}{m}]

1.6 amplitude to vector

Applies to any vector, H is just an example

H = H_0 \cdot e^{jwt}