Biomedical Engineering Reference
In-Depth Information
carrying high current and low voltage, the
fi
field will be mostly magnetic in nature. If on the
other hand, the
fi
field is produced by an element placed at high voltage but carrying little or
no current, the
fi
field will be mostly electric in nature. This is the domain of the near
fi
field,
while the plane wave is in the domain of the far
fi
field.
field, as it is known, is thus a circular loop
of area S (m 2 ) carrying an ac current I of wavelength
The ideal generator for a magnetic
fi
field, or H-
fi
λ
. It should be noted that although a
static
field is generated by a dc current and can be calculated with the method to follow,
static H-
fi
elds do not cause radiated emissions and are thus disregarded for EMI purposes.
If the loop size is smaller than the observation distance D , the magnitudes of the E and H
vectors can be found using the solutions derived from Maxwell's equations. In the near
fi
fi
field, the simpli
fi
ed values for these magnitudes are
Z
λ
IS
2
0
D
E (V/m)
2
and
IS
D 3
H (A/m)
4
π
where Z 0 equals the impedance of free space, 120
π
or 377
. Inspecting these equations,
we
and decreases drastically with the
inverse of the cube of the distance. At the same time, the electric
fi
find that in the near
fi
field, H is independent of
λ
fi
field increases as fre-
quency increases and falls of
with the inverse of the square of distance.
The wave impedance may be de
ff
fi
ned as the division of E by H in an electromagnetic
version of Ohm's law:
E (
(
V
A/
)
/
m
m
)
Z wave (
)
H
Thus,
Z 0 2
λ
D
π
Z wave
where D
48/ f (MHz). In the far
fi
field [i.e., D
48/ f (MHz)], on the other hand, both E- and
H-
fi
elds decrease as the inverse of the observation distance as described by
Z
λ
2 π D
IS
π 2
I
D
S
E (V/m)
0
H (A/m)
λ
which maintains a constant impedance equal to Z 0 , allowing direct calculation of radiated
power density in W/m 2 simply by multiplying E and H . Notice that E and H , and thus
power, increase with the square of frequency. This shows, once again, that limiting the
bandwidth of radiated signals by a pulse train is of utmost importance in controlling EMI.
The region dividing the near
fi
field from the far
fi
field is called the transition region [i.e.,
at D
48/ f (MHz)]. In it, abrupt transitions occur on the near-
fi
eld characteristics until a
smooth blending leads to the far-
fields can also be
created by passing an alternating current through a straight wire dipole, just as in a radio
antenna. In this case, the near-
fi
eld characteristics. Electromagnetic
fi
fi
eld electric and magnetic vector amplitudes are
Z
π
I
l
λ 3
0
E (V/m)
8
2
D
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