Phycomp Product specification
Surface-mount ceramic
multilayer capacitors Microwave: Class 1, NP0, NME
50 V
2003 Jul 21 Rev.4 10 www.yageo.com
MICROWAVE BEHAVIOUR OF
MULTILAYER CHIP CAPACITORS
Multilayer chip capacitors (MLCCs)
from the microwave series are
suitable for use at high frequencies.
At frequencies below the series
resonance frequency, the MLCC can
be represented by an equivalent
circuit as shown in Fig.14.
In general, the quantities C, ESR
and L are frequency dependent. For
most applications, C and L can be
regarded as frequency independent
below 1 GHz.
The equivalent series self-
inductance L is:
• Independent of the dielectric
material
• Dependent on the size of the
capacitor and is approximately:
− 0.6 nH for case size 0603
− 1 nH for case sizes 0805 and
1206 (these figures are
accurate to within ±20%).
Because of the inductance L,
associated with the MLCC, there will
be a frequency at which the
inductive reactance will be equal to
the reactance of the capacitor.
This is known as the series
resonance frequency (SRF) and is
given by:
LC2 1
SRF π
=
At the SRF, the MLCC will appear as
a small resistor. The transmission
loss through the MLCC at this series
resonance frequency will be low.
Using the values of C, L (= 1 nH)
and the ESR at a specific frequen cy
(f), two often used quantities can be
derived.
MEA609
C ESR L
Fig.14 Equivalent series representation of an MLCC.
C = capacitance.
ESR = equivalent series resistance which is determined by the energy
dissipation mechanisms (in the dielectric material as well as in the electrodes).
L = equivalent series self-inductance.
The impedance (Z) is given by: ESR
fCj2 LC)f2(1
Z2+
π
π−
=
The quality factor (Q) is given by: fESRC2 CL)f2(1
Q2
π
π−
=
The frequency region above the SRF is difficult to model using lumped
elements and should be described in terms of a network of transmission
lines. The behaviour of the MLCC in this frequency region can be best
described in terms of scattering or ‘s’ parameters. Knowing these parameters,
one can predict the response of a network accurately. There are four
scattering parameters for a two-port network: s11, s12, s21 and s22:
s11 is the reflection coefficient at the input port with the output port
terminated in a 50 Ω load.
s12 is the reverse transmission coefficient in a 50 Ω system.
s21 is the forward transmission coefficient in a 50 Ω system.
s22 is the reflection coefficient at the output port with the input port
terminated into a 50 Ω load.
When comparing the insertion loss (i.e. s21) of an MLCC at high frequencies
with that of an ideal capacitor, parallel resonances above the SRF are
observed. In series or shunt connections parallel resonances are usually
detrimental to the operation of the circuit. They may be the cause of
unacceptable insertion loss or parasitic oscillations of amplifiers. For the
microwave series, we specify that the first parallel resonance frequency lies
above 2 GHz and the second above 3 GHz. It is found that the typical
insertion loss at the first resonance frequency is more than a factor 5 smaller
than at the second resonance frequency.