APPLICATION NOTE • PIN LIMITER DIODES IN RECEIVER PROTECTORS
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200480 Rev. A • Skyworks Proprietary Information • Products and Product Information are Subject to Change Without Notice. • January 20, 2006 5
Minority carrier lifetime is related to limiter recovery time, which
is a very important characteristic of a limiter that will be dis-
cussed in more detail later.
Junction Capacitance
The capacitance of the PIN limiter diode affects the small signal
insertion loss of the diode. Capacitance is given by the familiar
equation
where
C
J
is the junction capacitance of the diode
ε is the dielectric constant of the I layer, where ε = ε
0
ε
R
,
the product of the dielectric constant of free space and
the relative dielectric constant of the material com-
prising the I layer
A is the area of the junction of the diode
d is the thickness of the depletion layer
So, it is clear from the discussions of threshold level, resistance,
capacitance and minority carrier lifetime that the design of a PIN
limiter diode is an exercise in tradeoffs: adjusting I layer thick-
ness and junction area to determine junction capacitance and
series resistance, while maintaining I layer thickness to meet
requirements for a given threshold level; and looking at I layer
volume, shape and doping to minimize minority carrier lifetime
without deleteriously affecting series resistance and junction
capacitance.
Avalanche Breakdown Voltage
Avalanche breakdown voltage is the reverse bias voltage at
which “a breakdown is caused by the cumulative multiplication
of charge carriers through field-induced impact ionization”
(2)
. For
RF and microwave diodes, reverse breakdown voltage is most
often defined to be the voltage required to force 10 µA of current
to flow in the reverse-bias direction. The minimum rated break-
down voltage can be considered to be the absolute maximum
reverse voltage that should be applied to the diode, unless other-
wise noted in the manufacturer’s specifications.
Direct measurement of the avalanche breakdown voltage of a PIN
diode is not recommended. The avalanche breakdown condition
can very easily cause catastrophic damage to a PIN diode. Under
reverse bias, the resistivity of the I layer is maximum, so driving a
charge carrier through this region requires a very large electric
field, typically of the order of 10 to 20 V per µm of thickness.
Since the crystal structure of this region inevitably has disconti-
nuities (remember the Au doping and the fact that during wafer
processing the Si has been subjected to many processing steps,
many of which can induce strain in the semiconductor crystal),
when avalanche breakdown starts to occur, the current density
through the I layer is not distributed equally but is concentrated
in some regions, which are referred to as “filaments.” The cur-
rent densities in these filaments can be so large that the
localized heating raises the temperature in these volumes to the
point that diffusion of the p-type and n-type dopants from the P
and N layers, respectively, into the I layer occurs. These filaments
of dopants can extend through the entire thickness of the I layer,
forming permanent short circuits. This process happens slowly
enough, on a tenths-of-a-second scale, that it can be observed
on a curve tracer. The diode will briefly produce the well-known
diode I-V curve until filamentary diffusion shorts the I layer so
that the curve shown on the curve tracer snaps to one that looks
very much like that of a small-value resistor.
Thermal Impedance
The thermal impedance of a limiter diode is quite important,
since it is well known that the serviceable life of a semiconductor
is reduced exponentially as operating junction temperature
increases. Even though in normal operation a limiter diode will
dissipate only a small portion of the RF power incident upon it,
that small portion can be appreciable. This power is converted
from electrical energy to heat in the diode by Joule heating, pri-
marily in the diode’s I and N layers, since that is where the
majority of the resistance of the diode resides.
Thermal Resistance
It is well known that there are three means by which heat can
flow from a region of high temperature to regions of lower tem-
perature: convection, radiation and conduction. Convection and
radiation of heat from a diode die are negligible and are typically
assumed to not contribute to the removal of heat from the diode.
Conduction of the heat generated in the I layer and at the pn
junction (the interface between the heavily doped, p-type P layer
and the lightly doped, n-type I layer) is through the cathode layer,
which is typically the thickest layer of the diode. The electrical
connection to the anode of the diode is made using a circular-
cross-section wire (typically 0.0007 inches [17.8 µm] diameter)
or a rectangular-cross-section ribbon (typically 0.00025 x 0.003
inches [6.35 µm x 76.2 µm]). The cross-sectional area of each of
these conductors is sufficiently small that conduction of heat
through this path is also considered to be negligible
(3)
.
2. “IEEE Standard Dictionary of Electrical and Electronics Terms,” IEEE, Second Edition, 1977, p. 45.
3. A. W. Davis, “Microwave Semiconductor Circuit Design,” Van Nostrand Reinhold Co., 1984, p. 160.