Y. Rui-gang / Journal of Magnetism and Magnetic Materials 323 (2011) 1805–1810
1807
3
Fig. 3. SEM images of the samples: (A) carbonyl iron and (B) BaTiO .
are shown in Figs. 4 and 5, respectively. From Fig. 4, it can be
found that the consistency of the real component of the dielectric
permittivity, as the frequency is first increased and then
decreased, is simply due to the fact that the polarization of the
dielectric dipoles in the RAM are in-phase with the oscillation of
the electric field vector of the electromagnetic wave. On the other
hand, the imaginary component, as the frequency, shows an
increase. This could be due to the loss process during the
oscillation of the dipoles, under the influence of the electromag-
netic wave, which dominates in the high-frequency regime.
Ref. [22] reported that the dielectric loss presents different loss
mechanisms as the frequency increases. When the frequency is
relatively low, the loss is determined by the leak conductance and
the loss is independent of the frequency. As the frequency
increases to microwave frequency band, the mechanisms are
relaxation polarization loss and electric conductance loss. The
increase in the imaginary component of the permittivity, as the
frequency increases, may be the consequence of the increase of
the relaxation polarization loss and the electric conductance loss.
The variation dielectric parameter of the composite is the com-
frequency shifts to the lower frequency range with the increase of
the carbonyl iron content. The increase of the carbonyl iron
content brings about changes in the internal magnetic fields by
increasing exchange and dipole interactions through demagneti-
zation fields. As a result of dipole interactions, the resonance
frequency shifts to lower frequencies [24]. From Fig. 5, it can be
found that the loss tangent of the composite increases with the
increase of the carbonyl iron content in the 3–5 GHz range.
0
00
0
00
Electromagnetic parameters(
tures of absorbing materials. The normalized input impedance (Z)
m
,
m
,
e
, ) are the intrinsic fea-
e
with respect to the impedance in free space, and reflection loss
(R
L
) are given by
qffiffiffiffiffiffiffiffiffiffiffi
pffiffiffiffiffiffiffiffiffi
Z ¼
m
=
e
r
tanh½ꢀjð2
p
=cÞð m e
r
Þfdꢁ
r
r
R
L
ðdBÞ ¼ ꢀ20log½9ðZꢀ1Þ=ðZþ1Þ9ꢁ
where mr and
r
e are the relative complex permeability and
permittivity of the absorber medium; f and c are the frequency
of microwave in free space and the velocity of light, respectively;
and d is the sample thickness.
Fig. 6 shows the calculated reflection loss as a function of
frequency for samples. The microwave absorbance of the samples
00
prehensive effect of carbonyl iron and BaTiO
samples gradually increases with the increase of the mass ratio
of BaTiO /carbonyl iron (especially in the 4–6 GHz). In the
frequency ranges,
3
. The
e
of the
R
3
L L
can be predicted from R , the larger the negative value of R , the
0
0
0
. This could be due to the
r
e
is larger than
e
greater will be the microwave absorption properties of materials.
The most important and interesting observation is that the
reflection loss is found to depend sensitively on the mass ratio
r
loss process during the oscillation of the dipoles, under the
influence of the TEM wave, which dominates in the high-
0
0
frequency regime. The
increase of the BaTiO content. BaTiO
exhibiting high resistivity. The characteristic feature of BaTiO
e
of the samples increase with the
of the carbonyl iron/BaTiO
wave absorbance of the sample in the frequency bands is very
low. With an increase of the mass ratio of carbonyl iron/BaTiO
the microwave absorbance peaks of the sample also increases. For
the sample obtained with the mass ratio of carbonyl iron/BaTiO
3
composite. For sample A, the micro-
r
3
3
is a ferroelectric material
is
ions
fitting octahedral interstices. At room temperature, there are
3
3
,
2
+
2ꢀ
4+
that the Ba
and O
ions form an fcc lattice with Ti
3
4
+
possibly minimum energy positions for the Ti ions, which are
off-centered and therefore give rise to permanent electric dipoles.
Fig. 5 shows that the real part mr of the complex permeability
of 8:1, there exist two absorbance peaks, the value of reflection
loss peaks is up to ꢀ24 dB. The bandwidth of the reflectivity
below ꢀ5 dB is up to 3.1 GHz when the carbonyl iron/BaTiO
3
for the BaTiO
3
–carbonyl iron composite absorbing materials is
mass ratio of the sample is larger than 10:1. The comprehensive
microwave absorption properties of the sample decrease. For
sample C, the microwave absorbing peaks value is up to ꢀ37 dB
at 5.22 GHz. It could be because of the larger magnetic loss
tangent of the composite. The variation of reflection loss results
of the samples is coherent with the variations of the complex
permittivity and permeability (Figs. 4 and 5) of the sample as in
the formulas above. The variation of reflection loss indicated that
there are close relationship between the material composition
and material properties.
nearly independent of the mass ratio of BaTiO
3
/carbonyl iron. It
0
can be found that the
m
gradually decreases for the domain-wall
r
motion and relaxes as the frequency increases [23]. A peak can be
0
0
00
first increases to the maximum at
r
seen on the
m
plots, and the
m
r
about 2–3 GHz and then decreases with the increase of the
frequency because of the domain-wall resonance and relaxation
0
0
of BaTiO
of carbonyl iron. The peak of the
m
3
–carbonyl iron
r
composite shifts to lower frequent ranges with the increase of the
carbonyl iron content. The resonance peak and the resonance