Symbols

Symbols and constants used in this treatment

$\vec{B}$:		magnetic flux density vector [T = Wb/$m^2$]

$B$:		bandwidth [Hz]

$B_r$:		bandwidth of a transmitted pulse

$C$:		coulomb

$C$:		capacitance [F]

$C$:		closed curve

$[C]$:		covariance matrix

$c$:		speed of light = 299792458 m/s 

$\vec{D}$:		electric flux density, aka electric displacement vector [C/$m^2$]

$dB$:		dezibel = 
$10log(P2/P_1)$

$dl$:		element of length [m]

$ds$:		element of surface [$m^2$]

$dv$:		element of volume [$m^3$]>

$\vec{E}$:		electric field intensity [V/m]

$E$:		eta = $10^{18}$ (prefix)

$e$:		electric charge [C = As]

$\vec{e}_i$:		unit vector in i-direction 

$F$:		farad

$F$:		force [N]

$f$:		fempto = $10^{-15}$ (prefix)

$f$:		frequency [Hz]

$g_i$:		Stokes parameter

$H$:		entropy

$\vec{H}$:		magnetic field [A/m]

$Hz$:		hertz = 1 cycle per second

$I,i$:		current [A]

$J$:		joule

$\vec{J}$:		current density [A/$m^2$]


$\vec{J}_{i}$:		 induced electric current density [A/$m^2$]


$\vec{J}_{e}$:		 externally applied electric current density [A/$m^2$]

$K$:		kelvin

$k$:		 wave number

$k$:		kilo = $10^{3}$ (prefix)

$k$:		 Boltzmann constant k = 1.380662 
$\cdot 10^{-23} m^2  kg / (s^2  grad)$ 

$L$:		inductance [H/m]

$L$:		length of antenna

$L_{ra}$:		length of real antenna

$L_{sa}$:		length of synthetic antenna

$l$:		lenght [m]

$\vec{M}$:		magnetisation [A/m]

$M$:		mega = $10^{6}$ (prefix)

$M$:		polarisation state of wave

$[M]$:		Müller matrix 

$m$:		meter

$m$:		milli = $10^{-3}$ (prefix)

$N,n$:		number (integer)

$n$:		refraction index of a media 

$n$:		nano = $10^{-9}$ (prefix)

$\vec{P}$:		polarisation of dielectric [C/$m^2$]

$P$:		peta = $10^{15}$ (prefix) 

$P$:		power [W]

$p$:		pico = $10^{-12}$ (prefix)

$Q$:		charge [Q]

$R$:		resistance [$\Omega$]

$r$:		radius [m]

$\vec{r}$:		space location vector [m]

$rad$:		radian

$rad^2$:		square radian = steradian = sr

$\vec{S}$:		Poynting vector [W/$m^2$]

$S$:		flux density [Ws/$m^2$]

$S,s$:		distance [m] or surface [$m^2$]

$[S]$:		scattering matrix

$s$:		second

$sr$:		steradian = square radian = $rad^2$

$[T]$:		coherency matrix

$T$:		tesla [Wb/$m^2$]

$T$:		tera = $10^{12}$ (prefix)

$t$:		time [s] 

$V$:		volt

$v$:		velocity [m/s]

$W$:		watt

$Wb$:		weber

$\hat{X}$:		complex amplitude = 
$X_0 \cdot e^{i\delta_{x}}$

$X_0$:		modulus of $\hat{X}$

$Z$:		impedance [$\Omega$]

$\alpha$:		angle [deg,rad]

$\alpha$:		scattering mechanism [deg,rad]

$\alpha$:		attenuation

$\beta$:		angle [deg,rad]

$\beta$:		phase constant = 2$\pi$/$\lambda$

$\beta$:		orientation angle with respect to the line of sight [deg,rad]

$\gamma$:		angle [deg,rad]

$\delta_x$:		phase angle of $\hat{X}$


$\delta_{ra}$:		resolution

$\epsilon$:		permittivity (complex dielectric constant) [F/m]


$\varepsilon_0$:		electric permittivity in free space = 
$8.854 \times 10^{12} F/m$


$\varepsilon_r$:		relative  permittivity

$\eta$:		intrinsic impedance of a medium [$\Omega$]

$H$:		entropy

$\theta$:		look or incidence angle [deg,rad]

$\lambda$:		wavelength [m]

$\lambda_0$:		free space wavelength [m] 

$\lambda_i$:		$i^{th}$ eigenvalue

$\mu$:		magnetic permeability

$\mu_0$:		magnetic permeability in free space = 
$4 \pi \times 10^{7} H/m$

$\mu_r$:		relative permeability

$\pi$:		3.141592654...

$\rho$:		electric charge density [C/$m^3$]

$\rho$:		complex polarisation ratio

$\sigma$:		radar cross section

$\tau$:		 duration of the transmitted pulse

$\phi$:		angle [deg,rad]

$\chi$:		susceptibility

$\chi$:		ellipticity angle

$\psi$:		angle [deg,rad]

$\psi$:		inclination angle [deg,rad]

$\psi_m$:		magnetic flux [Wb]

$\Omega$:		ohm

$\omega$:		angular frequency (=2$\pi f$) [rad/s]

$\Im$:		imaginary part of a complex quantity

$\Re$:		real part of a complex quantity


$\left[ \cal L \right]$:		 
$4 \times 4$ real Stokes-matrix as well known as Müller matrix