4-3. Noise antenna
Antenna works as a mediator between the conductor conduction and spatial
conduction of noise. If you understand the nature of antenna, you can design
electronic devices that cause less noise with smaller costs and you can use
shields and EMI suppression filters appropriately.
Basic antennas are dipole antenna and loop antenna.
In terms of noise suppression, each of the various structures of electronic
devices is understood as a variation of basic antenna or a combination of those
as shown in Fig. 4-3-1 and Fig. 4-3-2. Through this modeling, frequencies and
directions of high noise emission or sensitivity can be identified.
This chapter will describe the nature of basic antennas.
Fig. 4-3-1 Example of modeling in which a digital signal wiring is
understood as an antenna
Fig. 4-3-2 Example of modeling in which an interface cable is understood as
an antenna
Two types of basic antennas
Fig. 4-3-3 shows models of the basic antennas that are considered in this
section.
(1) Dipole antenna
Fig. 4-3-3(a) shows a dipole antenna. In general, when a voltage is applied
between two wires, an electric field occurs in the surrounding space.
Conversely, if two wires are placed in an electric field, a voltage is induced.
The dipole antenna utilizes this function and is basically sensitive to electric
fields.
(2) Monopole antenna
The monopole antenna in Fig. 4-3-3(b) is an antenna that uses one of the wires
of dipole antenna as a ground surface. Since its function as an antenna is
similar to dipole antenna, it is handled as a type of dipole antenna in this
section.
(3) Loop antenna
Fig. 4-3-3(c) shows a loop antenna. When you apply a current through the
loop-shaped wire like this, a magnetic field occurs in a way to penetrate the
loop. Conversely, if the magnetic field that penetrates the loop changes, an
induced electromotive force occurs to the wire. The loop antenna utilizes this
function and is basically sensitive to magnetic fields.
(4) Emission of radio wave
If a voltage or current is applied to an antenna as above, an electric field or
magnetic field occurs around it. This electromagnetic field creates radio waves,
which is then emitted. However, not all of the electromagnetic field around the
antenna is converted into radio waves. In many cases, most of the energy of the
electric field and magnetic field goes back to the antenna. In this section, the
component that is converted into radio waves without going back to the antenna
is called emission.
4-3-2. Basic nature of antenna
When a circuit emits radio waves, an antenna works as a doorway to receive the
radio waves. In this section, some terms that express the functions of antenna
will be introduced.
(1) An antenna that can easily emit radio waves
An antenna that emits stronger radio waves (when a voltage or current is
applied) is considered to be an efficient antenna. In general, as the shape
becomes larger, it is more likely to emit radio waves. This nature will be
described in the following sections.
The strength of the emission is in proportion to the power that the antenna
receives. This power increases as the voltage or current applied to the antenna
increases. However, it is also affected by the level of the impedance matching
between the antenna and signal source as shown in Fig. 4-3-4.
In addition, an antenna that can easily emit radio waves tends to be efficient
in receiving radio waves as well. This section focuses on noise emission for
explanation on the premise of such a nature of antenna. The impedance matching
for receiving radio waves makes use of the the impedance of the load that is
connected to the antenna.
Please note that an efficient antenna that we are calling here is different from
an antenna with a large gain that is considered in the antenna theory. Also note
that the explanation is on the premise that the antenna itself does not cause
any loss.
Fig. 4-3-4 Radio wave emission and impedance
matching
(2) Polarization and antenna direction
The orientation of the electric field and magnetic field of the radio waves
transmitted in the air is called polarization. Antennas have a highly sensitive
direction for this polarization. Fig. 4-3-5 shows the direction of a basic
antenna.
Dipole antenna is highly sensitive to an electric field in the direction of
stretching out the antenna elements (hereinafter "antenna axis") and does not
receive electric fields that are perpendicular to the elements. Since this is
the same for emitting radio waves, it will not generate an electric field that
is perpendicular to the axis.
In case of loop antenna, there is an axis in the direction perpendicular to the
loop plane, and the antenna is highly sensitive to magnetic fields in the
direction of the axis. There is no sensitivity to magnetic fields that are
perpendicular to the axis (parallel to the loop plane).
Fig. 4-3-5 Polarization of radio wave and
antenna direction
(3) Emission pattern
The emission of antenna does not necessarily go evenly to all directions. The
strength varies depending on the direction. This is called emission pattern.
Although an antenna that intensively emits in one direction is considered to
have a good directivity, an antenna with a good directivity is not desirable in
the case of noise suppression.
Fig. 4-3-6 shows the emission patterns of basic antennas. As shown in the
figure, both dipole antenna and loop antenna have the same shape in the emission
pattern even though the orientation is different. However, these are patterns
for the case that the size of antenna is very small for the wavelength. If the
frequency increases, the size of antenna will not be negligible for the
wavelength resulting in changes in the pattern. Please also note that these only
represent the component that is emitted as radio waves and are different from
the distribution of the electromagnetic field near the antenna.
Fig. 4-3-6 Emission pattern of basic antenna (for low frequencies)
The following sections will describe the nature of these basic antennas and the
relationship with noise emission. First of all, dipole antennas will be
explained and then based on the explanation, loop antennas will be explained.
4-3-3. Dipole antenna
(1) Dipole antenna
An antenna that applies a voltage between two open lines to emit radio waves is
called dipole antenna. If the line length is very short for the wavelength as
shown in Fig. 4-3-7(a), the noise emission is weak. However, if the total length
is getting closer to approx. 1/2 wavelength (that means 1/4 wavelength on one
side) as shown in Fig. 4-3-7(b), it is easier for the current to flow (called
resonance) and is more likely to emit strong radio waves. As shown in Fig.
4-3-7(c), a monopole antenna formed by grounding one side of the dipole antenna
is also considered to be a variation of dipole antenna. In this case, strong
radio waves occur at the frequency that makes the antenna length form 1/4
wavelength.
Fig. 4-3-7 Dipole antenna
(2) How much strength is needed to cause radio emission?
How much strength is needed for a dipole antenna to cause radio emission? Fig.
4-3-8 shows an example of calculation for the strength of radio waves by an
electromagnetic simulator.
This test applies 1V sine wave to the base of the antenna placed in the vertical
position and measures the electric field strength from a point 10m away in the
horizontal direction. The reflection from the floor and the center of the
antenna height are considered for the purpose of the noise measurement. The
thickness of the antenna is set to 1mm, and the output impedance of the signal
source is set to 10 ohms, and then the calculation is based on the frequency of
10MHz multiplied by an odd number on the premise that the noise is caused by the
harmonics of digital signal.
Fig. 4-3-8(a) shows a case that the length of the antenna is as short as 40mm.
The radio waves are relatively limited.
Fig. 4-3-8(b) shows a case that the length of the antenna is 200mm. The radio
waves significantly increase and show a peak at 690MHz.
Fig 4-3-8(c) shows a case that the length of the antenna is extended to 1m. The
increase of radio waves has reached a ceiling, and there are peaks at 150MHz,
430MHz and 730MHz.
As above, the longer the antenna length, the stronger the radio wave becomes as
a general trend. Then when it reaches a certain length, peak frequencies start
to appear. However, even if it is extended over a certain length, the maximum
strength would not go any higher.
Fig. 4-3-8 Frequency characteristics of dipole antenna (calculated values)
According to the noise regulations for digital devices, the limit has been set
to 30 to 40dB
?
V/m at the distance of 10m. Since the range displayed in the graph of Fig. 4-3-8
is far stronger than this limit, you can see that a direct input of 1V signal
will cause emission of radio waves that substantially exceeds the limit of the
noise regulations.
(3) Connecting a digital signal to a dipole antenna
When a digital signal is connected as a noise source, how much emission would it
cause? Fig. 4-3-9 shows calculation results of emission strength when the
harmonics explained in Section 2-4 is connected to the 20cm antenna of Fig.
4-3-8(b).
Fig. 4-3-9(a) is the same data as Fig. 4-3-8(b), wherein 1V sine wave is
connected as a signal source.
Fig. 4-3-9(b) shows a calculation result for the case of connecting an ideal
10MHz digital pulse. The displayed range of the vertical axis has been shifted
by 40dB in the graph. Even though the noise source is digital signal harmonics,
you can see that it emits radio waves that exceed the limit for CISPR class 2 by
30dB.
Fig 4-3-9(c) shows a calculation result for the case of using a trapezoidal wave
with a transition time of 20ns for the pulse wave as described in Section 2-4-4.
In this case, the result can stay within the limit.
As above, dipole antennas are capable of emitting very strong radio waves.
Therefore, you need to design carefully so that the shape of the wire and/or
structure used in the electronic device does not have a shape of dipole antenna.
If you cannot avoid the shape of dipole antenna, it is effective to use an EMI
suppression filter etc. in a preventive manner so that the harmonics are reduced
by delaying the rise time of the signal.
Fig. 4-3-9 Emission when connected to 10MHz digital signal (calculated
values)
(4) Relationship between antenna length and wavelength
In Fig. 4-3-8, there is a relationship between the peak frequency and the size
of antenna. Fig. 4-3-10 shows a diagram that compares the antenna length with
the wavelength of each frequency.
As shown in the diagram, the lengths of 200mm and 1m form 1/2 wavelength
respectively at 750MHz and 150MHz. These frequencies almost correspond to the
peaks in Fig. 4-3-8. As above, dipole antennas tend to easily emit radio waves
at a frequency that makes its length form 1/2 wavelength.
Fig. 4-3-8(c) also shows peaks of radio waves in a cycle other than approx.
150MHz (1/2 wavelength). These are odd multiples of the frequency that makes the
antenna length form 1/2 wavelength (in this case 150MHz) at which radio waves
tend to be easily emitted. At these frequencies, the antenna causes standing
wave and resonance as described in Section 3-3-6 making it more likely to cause
current flow.
In terms of noise suppression, it is important to keep the wiring length (that
possibly works as an antenna) shorter than the wavelength so as to reduce noise
emission. As a guideline, Fig 4-3-9 indicates the range that forms 1/20
wavelength. If your design can manage to keep the length of wiring or cable
within this range, noise problems can be reduced.
Fig. 4-3-10 Relationship between antenna length and wavelength
The following Sections 4-3-4 to 4-3-15 describe the factors that determine the
efficiency of antenna in converting noise into radio waves. The contents will be
slightly technical. If you are not so interested, please skip to Section 4-3-16.
4-3-4. Input impedance
Why do dipole antennas cause strong radio wave emission at the frequency of 1/2
wavelength? One of the reasons is input impedance.
Fig. 4-3-11 shows a graph that calculates the input impedance of the antenna
used in Fig. 4-2-8. If the antenna is very short in comparison with the
wavelength, you can see that the input impedance is 1000 ohms or more, resulting
in almost no current flow. In contrast, the frequencies that make the length
form an odd multiple of 1/2 wavelength cause the input impedance to be a local
minimum point of about 100 ohms (the lowest point is approx. 73 ohms), making it
more likely to cause current flow. (In Fig. 4-3-8, the frequency seems to be
slightly shifted due to 20MHz increment)
As above, since the input impedance of antenna is reduced and thus causes
current flow at the frequencies that make the length form an odd multiple of 1/2
wavelength, it is (simply) understood that strong radio waves are emitted.
This local minimum point is slightly on the lower frequency side of the
frequency that makes the length form 1/2 wavelength (depending on the antenna
thickness). At this point, the impedance becomes a pure resistance without any
reactance, which means the antenna is resonating. Since it has reactance at
other frequencies, it can be called inductive (reactance is in the positive
status just like an inductor) or capacitive (reactance is in the negative status
just like a capacitor) depending on the polarity of reactance.
Fig. 4-3-11 Input impedance of dipole antenna (calculated values)
4-3-5. Radiation resistance
The resistance component of the antenna input impedance represents radiation
resistance. This radiation resistance represents the function of antenna to
convert electric current into radio waves, wherein a higher radiation resistance
causes emission of stronger radio waves with the same current flow. Although the
resistance component of input impedance is not always the same as the radiation
resistance, this resistance component can be a guideline for the radiation
resistance.
Fig. 4-3-12 shows an example of the resistance component of dipole antenna (1m
length calculated in Fig. 4-3-8). It tends to be approx. 73 ohms at the
resonance frequency for 1/2 wavelength.
In the frequency range that the antenna becomes shorter than 1/2 wavelength, the
input impedance is high and it is hard for the current to flow, while the
resistance component is also getting smaller. In this frequency range, even if
some current flows, it is less likely to cause emission.
In contrast, in the frequency range of exceeding 1/2 length, the ratio of
resistance component becomes higher. In this frequency range, the conditions
allow emission even with a very small current flow. For this reason, high level
emission is observed in the frequency range outside the resonance frequency in
the high frequency range of Fig. 4-3-8(c).
Fig. 4-3-12 Resistance component of input
impedance
As it is understood from Fig. 4-3-12, the dipole antenna resonates not only at
odd multiples of 1/2 wavelength but also at the frequencies of even multiples.
However, those impedances reach local maximum not allowing current flow, thus
causing relatively weak emission. However, if the signal source impedance is
high, these frequencies of even multiples can cause even better impedance
matching, which may result in strong emission.
4-3-6. Impedance matching
(1) Impedance matching
To express the phenomenon of strong radio wave emission more accurately, the
concept of impedance matching explained in Section 3-3-6 is used. When the
output impedance of the signal source is the same as the load impedance, the
maximum energy is transmitted due to impedance matching.
Under the conditions of Fig. 4-3-8, as the input impedance of antenna becomes
closer to 10 ohms, more energy is transferred and thus causes stronger radio
wave emission. Inversely, it is understood that as the impedance goes away from
10 ohms, more energy is reflected to the noise source side, thus causing weaker
radio waves.
(2) Conjugate matching
To even more accurately express impedance matching, the concept of conjugate
matching is used.
The conjugate matching means a status of cancelling out the imaginary parts
(reactance components) in addition to adding up the real parts (resistance
components) of the impedance as shown in Fig. 4-3-13. This way allows the
maximum energy transmission to a circuit with reactance such as an antenna.
Since conjugate matching cancels out reactance, it is considered as a type of
resonance status.
So far the output impedance of the signal source has been set to a resistance of
10 ohms in the calculation, there are cases that the signal source has some
reactance. In such cases, it is understood that conjugate matching is
approximately achieved at a frequency that the antenna has the reactance to be
cancelled out and thus it is more likely to emit radio waves. Therefore, if the
signal source has some reactance, the resonance frequency of the antenna is
shifted and it is more likely to emit radio waves at a frequency other than 1/2
wavelength.
Fig. 4-3-13 Conjugate matching
4-3-7. Matching circuit
(1) Example of frequency change due to conjugate matching
As an example of antenna resonance frequency being shifted by conjugate
matching, Fig. 4-3-14 shows an example of calculation for the emission when
small inductance (50nH) is added to the signal source under the conditions of
Fig. 4-3-8(b). It is understood that adding inductance causes the resonance
frequency to be shifted towards the low frequency side.
This level of inductance (50nH) can be easily caused by changing the wiring
length by several centimeters. In case of noise suppression for electronic
devices, the noise strength may significantly vary by changing the wiring length
between circuits (without changing circuit operations) as explained above. It is
understood that one of the factors is a change in the resonance of the antenna
that emits noise.
Fig. 4-3-14 Example of change in resonance of
dipole antenna
(2) Matching circuit
Since using this method can cause resonance in the low frequency range with a
relatively short antenna, it is useful when making a compact wireless. The
circuit for adjusting the conjugate matching such as 50nH inductance added in
this example is called matching circuit. In general, matching circuits adjust
both reactance and resistance components.
In case of noise suppression, an inductor or capacitor that has been added to
eliminate noise can unintentionally form a matching circuit and thus increase
noise emission. In order to reduce this risk, you should choose to use a noise
suppression component with a largest loss possible.
4-3-8. Emission pattern
What direction are radio waves emitted from a dipole antenna?
Fig. 4-3-15 shows a result of calculation over
±
5m range of the electric field surrounding the 1m length dipole antenna shown in
Fig. 4-3-8(c). In the figure, the antenna is located at the center in the
upright position. The reflection from the floor has not been considered. The
output impedance of the signal source is 0 ohm. As the color changes from blue
to red, the electric field becomes stronger.
Fig. 4-3-15(a) is a case of 30MHz in frequency. In the relatively low frequency
range, the electric field is concentrated around the antenna and looks like
spreading towards the top and bottom sides. The reason why the shape is
different from the basic pattern shown in Fig. 4-3-6 is that the near field has
primarily been observed (described later).
Fig. 4-3-15(b) is a case of 1/2 wavelength resonance. As the frequency
increases, the electric field starts to spread crosswise and then extensively
spreads at the resonance frequency. This frequency range becomes relatively
closer to the basic pattern shown in Fig. 4-3-6.
Fig. 4-3-15(c) is a case of 3/2 wavelength resonance. You can see that the
emission is split up into 6 directions. As the frequency increases, the emission
tends to be split up into directions.
Fig. 4-3-15 Calculation result of the electric field surrounding a dipole
antenna
Fig. 4-3-16 Calculation result of the magnetic field surrounding a dipole
antenna
Likewise, Fig. 4-3-16 shows a calculation result of the magnetic field. (The
color scale has been adjusted so that the electric field and magnetic field have
the same color in the far field.)
The shapes of the electric field and magnetic field are significantly different
in the low frequency range shown in (a). In addition, the strengths of the
electric field and magnetic field become identical as they move away from the
antenna in the high frequency range shown in (b) and (c). The difference in the
distribution between the electric field and magnetic field is related to the
wave impedance, which will be described later.
4-3-9. Theoretical properties of dipole antenna
Although you can use an electromagnetic simulator to observe how the radio waves
are emitted from a dipole antenna as shown in Figs. 4-3-15 and 16, it can also
be calculated based on the electromagnetic theory if it is a simple model. In
this section, only the simplest result will be presented. So, please refer to
technical books [Reference 3]
for details.
If you are only considering the far filed, the radio waves emitted from a very
short antenna can be expressed by the following formulas. The basic emission
pattern shown in Fig. 4-3-6 is a shape based on these formulas.
Fig. 4-3-17 Electric field emitted by a very small dipole antenna
Here, l
, I
and
ω
respectively represent the antenna length (m), current (A) and angular frequency
(Hz). The wavelength
λ
is inversely proportional to the frequency. From the formulas, it is understood
that the radio waves emitted from a relatively small dipole antenna has the
following properties.
-
(i)
The strength of radio waves is proportional to the antenna length, current
and frequency, while it is inversely proportional to the distance.
-
(ii)
The radio waves have been polarized. An antenna in its vertical position as
shown in the figure does not generate any electric field (
E Φ
) in the horizontal direction.
-
(iii)
The direction of the maximum emission is the crosswise direction (
θ
=90
°
) in the figure.
It is understood that when the length of the wiring that forms an antenna is
shortened, the emission of radio waves can be reduced even with the same
current.
4-3-10. Loop antenna
Another basic antenna is loop antenna.
Loop antenna is an antennal that emits radio waves by flowing currents through
the loop wiring as shown in Fig. 4-3-3(c). Just like a dipole antenna, the
emission is only weak when the wiring is short, but as the loop wiring becomes
longer to form a large area, the emission tends to be stronger.
Fig. 4-3-18 shows a calculation result of the emission from a square-shaped loop
antenna. The calculation conditions are the same as those for dipole antenna in
Fig. 4-3-8. The loop is in the flat position.
(a) shows a case that each side is as small as 20mm. The emission has relatively
been kept in small.
(b) shows a case that each side is 100mm. A peak starts to appear at 810MHz as
the emission increases.
(c) shows a case that each side is 0.5m. Emission peaks appear at the lowest of
170MHz and also at frequencies of its approximate integral multiples. The
strength of the emission is almost constant at 170MHz and above.
As above, loop antennas also show similar frequency characteristics as a dipole
antenna. However, the difference is that the emission peaks appear at around
frequencies that the loop length (4 times one side) forms the integral multiples
of the wavelength.
4-3-11. Resonance frequency of loop antenna
(1) Input impedance
Fig. 4-3-19 shows a calculation result of input impedance under the conditions
for the calculation in Fig. 4-3-18.
Fig. 4-3-19(a) shows the input impedance. Just like the case of dipole antenna,
it is understood that the impedance reaches a local minimum at the frequencies
with strong emission. Just like a dipole antenna, a standing wave appears and
resonates over the wiring at these frequencies.
(2) Resistance component
Fig. 4-3-19(b) shows the resistance component for the case of 100mm on each
side. Just like the case of dipole antenna, the impedance and resistance match
with each other at both local maximum and minimum points of the impedance at
which it is understood that the antenna is resonating. In addition, the local
maximum point does not make a peak of emission due to being unable to achieve
impedance matching with the signal source just like the case of dipole antenna.
Fig. 4-3-19 Input impedance of loop antenna (calculated values)
(3) Antenna length and resonance frequency
The local minimum point of a loop antenna occurs when the loop length forms an
integral multiple of the wavelength. Therefore, the frequencies with strong
emission will be integral multiples of the first frequency. (Since dipole
antennas involve odd multiples, the intervals between resonance frequencies seem
narrower for loop antennas)
The resonance frequencies for a loop antenna occur on the frequency side
slightly higher the normal frequency, which is determined by the physical
length. For example, the local minimum point in Fig. 4-3-19(b) indicates 810MHz
even though it is supposed to be 750MHz based on one wavelength. (It is shifted
towards the lower frequency side in the case of dipole antenna)
4-3-12. Electromagnetic field surrounding loop antenna
Just like the case of the dipole antenna above, Fig. 4-3-20 shows calculation
results of the electric field and magnetic field around a loop antenna. As shown
in Fig. 4-3-18(c), a square-shaped loop antenna with 0.5m on each side is placed
in the direction that the axis is pointing the top and bottom of the page
(therefore, the area of the loop is perpendicular to the page) for calculation.
Fig. 4-3-20(a) shows the electromagnetic field at a relatively low frequency of
30MHz. It is understood that the area of strong electromagnetic field is limited
to the vicinity of the antenna. Furthermore, the shape of the magnetic field is
different from the basic pattern shown in Fig. 4-3-6.
Fig. 4-3-20(b) shows the electromagnetic field at 170MHz, which causes
one-wavelength resonance. It is understood that the arrangement of the figure
causes emission towards the top and bottom sides. This case is also different
from the basic pattern in Fig. 4-3-6.
Fig. 4-3-20(c) shows the electromagnetic field at 310MHz, which causes
two-wavelength resonance. In this case, the antenna emits to the crosswise
direction and its shape is close to the basic pattern in Fig.4-3-6.
Therefore, you need to be aware that the electromagnetic field in the vicinity
of loop antenna could be different from the basic pattern shown in Fig. 4-3-6.
The basic pattern in Fig. 4-3-6 indicates a shape that is measured from a
distance sufficiently far from the antenna that is sufficiently small for the
wavelength.
Fig. 4-3-20 Calculation result of the electromagnetic field surrounding a
loop antenna
4-3-13. Theoretical properties of loop antenna
Just like we did for dipole antenna, the basic emission characteristics of loop
antenna can also be calculated as shown in Fig. 4-3-21 based on the
electromagnetic theory [Reference 3]
. The basic pattern in Fig. 4-3-6 is based on these formulas.
Fig. 4-3-21 Electric field emitted by a very
small loop
Here,
S
,
I
and
ω
respectively represent the loop area (m
2
), current (A) and angular frequency (Hz). The wavelength
λ
is inversely proportional to the frequency. From the formulas, it is understood
that the radio waves emitted from a relatively small loop antenna has the
following properties.
-
(i)The strength of radio waves is proportional
to the loop area, current and the square of frequency, while it is inversely
proportional to distance.
-
(ii)
The radio waves have been polarized. An antenna in its horizontal position
as shown in the figure does not generate any electric field (Eθ) in the
vertical direction.
-
(iii)
The directions of the maximum emission are the crosswise direction (θ=90°)
in the figure.
The strength of radio waves is determined by the area of loop antenna
S
without direct regard to the length of the wiring. If the wiring is designed in
a way to keep
S
small, the emission of radio waves can be reduced.
The calculation results shown in Fig. 4-3-18 do not seem to indicate that the
emission is proportional to the square of frequency. The reasons for the effects
include that the current is not constant due to the significantly varying input
impedance of antenna and the antenna cannot be considered as a very small loop
in the high frequency range.
4-3-14. Near field and far field
Generally, the electric field and magnetic field around an antenna become weaker
as they move away from the antenna. Then, how weak are they?
In order to simplify the phenomenon, let's consider that a current of 100MHz
flows evenly in a short antenna. Fig 4-3-22 shows the calculation results of the
electric field and magnetic field based on the electromagnetic theory. In the
figure, we can see that:
-
(i)
The electric field is strong in the close vicinity of dipole antenna
In this zone, the electric field is attenuated in proportion to the cubic of
distance, while the magnetic field is attenuated in proportion to the square
of distance
-
(ii)
The magnetic field is strong in the close vicinity of loop antenna
In this zone, the magnetic field is attenuated in proportion to the cubic of
distance, while the electric field is attenuated in proportion to the square
of distance
-
(iii)
For both type of antennas, both electric field and magnetic field are
attenuated in proportion to the distance in the relatively far field.
In this case, the ratio of the electric field to the magnetic field is 377
ohms.
-
(iv)
The transition to the zone (iii) is around 0.5m
That means these zones (i) and (ii) correspond to the near field described in
Section 4-2-6, while the zone (iii) corresponds to the far field. The far field
of (iii) is considered to be emitting radio waves as waves.
The transition distance of (iv) varies in accordance with the frequency and it
has been known to be
λ
/2
π
(approx. 0.5m at 100MHz).
The graph in Fig. 4-3-22 represents the specific status at the fixed frequency
of 100 MHz so as to facilitate understanding. The graph can be applied to
frequencies other than 100MHz by normalizing the horizontal axis to the distance
for the wavelength. Please refer to technical books
[Reference 3]
for details.
The electric field and magnetic field are sharply reduced by the distance in the
near field. In terms of noise suppression, it is effective to keep a distance.
However, if the distance need to be short, shieling is required due to extremely
strong electromagnetic emission.
Fig. 4-3-22 Distance characteristics of the electric field and magnetic
field surrounding a dipole antenna
4-3-15. Wave impedance
When using an electromagnetic shield near an antenna, the effectiveness of the
shield varies depending on the wave impedance. Wave impedance is a ratio of the
electric field to the magnetic field at a certain location. As shown in Fig.
4-3-22, the wave impedance is high near a dipole antenna due to its strong
electric field, while the wave impedance is low near a loop antenna due to its
strong magnetic field.
Fig. 4-3-23 shows wave impedances calculated from the calculation results of
Fig. 4-3-22. A dipole antenna may cause a high impedance of 10 kilo ohms or more
in its immediate vicinity (1cm or less), while a loop antenna may cause a low
impedance of 10 ohms or less in its immediate vicinity. However, for both
antennas, the distance over
λ
/2
π
(0.48m at 100MHz) turns into far field and the wave impedance settles to 377
ohms. This value is determined by the dielectric constant and magnetic
permeability of the space where the radio waves transmit.
Fig. 4-3-23 Calculation results of wave
impedance
4-3-16. To design electronic devices that are less likely to emit noise
(1) Reduce the wiring length and loop area
As described above, the emission of radio waves depends on the length and loop
area of antenna. This is the reason why electronic devices are less likely to
emit radio waves when their wiring lengths are reduced.
Even if you cannot reduce the wire length, if you reduce the gap formed by the
wire, the loop area is reduced and thus the emission is reduced. Fig. 4-3-24
shows the change in emission when the gap area made by a 40cm wire is reduced.
It is understood that more emission can be reduced as the shape changes from
(a), (b) to (c). In addition, the emission peak at approx. 750MHz tends to stay
relatively high. At this frequency the round-trip wire forms a transmission
line, which forms a 1/2 wavelength resonant circuit, thus causing a large
current.
(2) Noise is likely to remain at the resonating frequency
Also in the case of dipole antenna, if you reduced the gap between the folded
wires as shown in Fig. 4-3-25, the emission is reduced. This is due to the
effect of reducing the radiation resistance even though the resonance frequency
and current value are unchanged. Just like a loop antenna, the noise is likely
to remain at the resonance frequency. In order to eliminate this type of
resonance, it is advantageous to use noise suppression components with a large
loss described in the following section.
Fig. 4-3-24 Change in emission by reducing the loop area (calculated values)
Fig. 4-3-25 Change in emission by the angle of the lines (calculated values)
(3) Reduce noise by low-pass filter
When strong noise emission occurs at the resonance frequency due to the strong
resonance as shown in Fig. 4-3-24(c) and Fig. 4-3-25(c), using a low-pass filter
that uses LC may shift the resonance frequency, resulting in making strong noise
at another frequency. Fig. 4-3-26 shows an example that uses an inductor as a
low-pass filter.
Fig. 4-3-26(a) is the same as the calculation result shown in Fig. 4-3-25(c).
Strong resonance is seen at about 750MHz.
Fig. 4-3-26(b) shows the case of attaching a 50nH inductor as an EMI suppression
filter for suppressing this noise. Although details are described in Chapter 6,
an inductor or bypass capacitor works as a low-pass filter, which prevents noise
from being transmitted to the antenna. Fig. 4-3-26(b) also shows that the noise
at 750MHz has been dropped by the effect of the low-pass filter. However, you
can also see that the noise increases at 430MHz. Therefore, you need to be aware
that carelessly attaching a noise suppression component to a resonant circuit
may change the resonance status and increase the noise.
(4) Use EMI suppression filters with a large loss
In order to prevent such a failure, you should choose to use an EMI suppression
filter with a large loss. Fig. 4-3-26(c) shows an example of adding a 100 ohms
resistor in series with the inductor. You can see that the resonance has
disappeared and the noise emission has been reduced in the entire frequency
range. Ferrite bead is one of the components that have the characteristics of
both inductor and resistor in this manner. Ferrite beads are described in detail
in Chapter 6.
Fig. 4-3-26 Effect of loss by a noise suppression component (calculated
value)
(5) Any wire protruding from the shielding case works as a monopole antenna
Shielding is effective for suppressing the spatial conduction of noise. If you
can thoroughly enclose the entire electronic device, the shield will effectively
work. However, many of electronic devices have a wire going through the shield,
working as a doorway for noise and thus impairing the shielding effect.
In this case of antenna model, the wire that goes through can be considered as a
monopole antenna over the shield that works as a ground surface. Fig. 4-3-27(a)
shows the model diagram of this case. In this model, the shorter the length of
the protruding wire, the less noise it emits. This tendency is also
qualitatively obtained in the noise suppression for actual electronic devices.
(6) Shielding case works as a dipole antenna
In this model, when the wire is very short (in this case 1cm) as shown in Fig.
4-3-27(a), there is almost no emission. However, in actual noise suppression,
noise may be emitted at a strong level that is not negligible even with a wire
of 1cm.
This is because the shield itself works as the other part of the dipole antenna
as shown in Fig. 4-.3-27(b). In this case, the main part of the antenna that
emits radio waves is not the protruding wire but the shielding case itself. In
this situation, you may say that the noise has been induced to the shielding
case since the shield has been broken.
The function of the antenna in this situation changes depending on the size and
shape of the shielding case. The resonance frequency can be considered based on
the resonance frequency of the dipole antenna including the size of the shield.
Fig. 4-3-7(c) shows the calculation result in the case of modeling this as a
dipole antenna. Although the peak frequency is the same as Fig. 4-3-27(b),
stronger emission has been observed.
(7) Insert a filter for a protruding wire even if it is only short
If a wire that contains noise comes out from the shield, you have to be careful
even if it is only short. It is recommended to use an EMI suppression filter at
the point where such a wire goes through the shield.
Fig. 4-3-27 Examples of shielding case that works as an antenna (calculated
values)
“4-3. Noise antenna” - Key points
-
Antenna works as a mediator between the conductor conduction and spatial
conduction
-
Basic antennas are dipole antenna (monopole antenna) and loop antenna
- A dipole antenna creates and receives electric fields
- A loop antenna creates and receives magnetic fields
-
When impedance-match occurs between the noise source and antenna, strong
emission occurs due to resonance
-
To reduce noise, make the antenna small and suppress resonance