Table 3.4. Some Frequently Used Relationships

= o " is conductivity in siemens/meter
o = 8.85 x 10-12 F/m: permittivitiy of free space
" is the imaginary part of complex relative permittivity
= 2 f is radian frequency in radians/second
f is frequency in hertz
tan = "/'tan is the loss tangent
P = | E |2 P is density of absorbed power at a point in watts/cubic meter
is conductivity in siemens/meter at the point
|E | is rms electric-field intensity in rms volts/meter
D = ED is electric-flux density in coulombs/square meter
is permittivity in farads/meter
E is electric-field intensity in volts/meter
B = HB is magnetic-flux density in tesla
is permeability in henry/meter
H is magnetic-field intensity in amperes/meter
o=8.85 x 10-12 F/mo is the permittivity of free space
o = 4 x 10-7 H/mo is the permeability of free space
f = 1/Tf is frequency in hertz
T is period in seconds
= v/f is wavelength in meters
v is velocity of propagation in meters/second
f is frequency in hertz
E/H is the wave impedance in ohms
E/H = 377 ohms in free spaceE is the magnitude of the electric-field intensity in volts/meter
H is the magnitude of the magnetic-field intensity in amperes/meter
v is the velocity of propagation in meters/second
v = 3 x 108 m/s in free space is the premeability in henry/meter
is the permittivity in farad/meter
<P> = <E x H><P> is the time-averaged Poynting's vector in watts/square meter
E is the electric-field intensity in rms volts/meter
H is the magnetic-field intensity in rms amperes/meter
P = E2/377P is the magnitude of the time-average Poynting vector for a planewave in free space
E is the magnitude of the electric-field intensity in rms volts/meter
377 is the wave impedance of free space in ohms
S = Emax/EminS is the standing-wave ratio (unitless)
E max is the maximum value of the magnitude of the electric-field intensity anywhere along the wave
E min is the minimum value of the magnitude of the electric-field intensity anywhere along the wave
S = (1 + ) / (1 - )S is the standing-wave ratio (unitless)
is the magnitude of the reflection coefficient (ratio of reflected E-field to incident E-field)
is the skin depth in meters
' is the real part of the permittivity
" is the imaginary part of the permittivity
f is the frequency in MHz
SAR = |E| 2 / mSAR is the local specific absorption rate in watts/kilogram
is the conductivity in siemens/meter
|E| is the electric-field strength in rms volts/meter
m is the mass density in kilograms/cubic meter
fo is the resonant frequency in hertz of the SAR for E polarization
is the average length of the absorbing object
d is the average diameter of the absorbing object
F is the rms value of the periodic function f (t)
T is the period of the function
G = gp /G is the rms value of a sinusoid
Gp is the peak value of the sinusoid
d = 2L2/ d is the approximate distance from an antenna at which the n ear fields become negligible and the fields are approximately far fields
L is the largest dimension of the antenna
is the wavelength