Background
Magnetic fluid (MF) is a kind of stable colloidal suspension of small magnetic particles with typical sizes of 10 nm. The liquid carrier may be either an aqueous or a nonpolar solvent. The nanoparticles are coated with a surfactant layer, such as oleic acid and polymer, which will prevent agglomeration by overcoming the van der Waals attractive forces between the particles. The Brownian motion can keep the nanoparticles from settling under gravity
1
. MF was firstly invented in the mid-1960s, and then the study and applications of MF have been extended to multidisciplinary sciences, such as chemistry, fluid mechanics, and magnetics. Recently, with the fast development of MF, it has been broadly used for dynamic sealing, shock absorbers, audio loudspeaker coolant, and biomedical sciences
2
3
. Because of the dramatic development of optical communication and integrated optics, the optical properties of MF have attracted a great deal of attention from researchers since the late part of the twentieth century, which include tunable refractive index
4
, birefringence
5
, Faraday effect
6
, optical transmittance
7
8
, optical scattering
9
10
, and so on. Most of these are based on the fluid behavior and magnetism of the MF. Until now, several potential applications of MF to optical devices have been proposed, such as MF optical switches
11
, MF gratings
12
, MF light modulation
13
, MF optical fiber modulator
14
, and MF optical limiting
15
. Recently, some experimental investigations about the magneto-optical effects of binary, multiple-phase, ionic, and doped MFs show that these kinds of MFs can present some unique optical properties
16
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19
.
Nematic liquid crystal has attracted a great deal of attention from researchers owing to its optical birefringence and scattering properties, which can be controlled by the external stimuli, such as electrical, magnetic fields, and shear stresses
20
. Usually, a strong magnetic field is needed to study the magnetic-field-induced optical properties of liquid crystals. This is due to the small anisotropic diamagnetic susceptibility (Δχ) of the liquid crystal
21
. To lower the applied magnetic field, liquid crystal doped with ferromagnetic grains (the corresponding mixture is denoted as ferronematic material) has been proposed
21
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. Burylov and Raikher have reported that magneto-optical response of a liquid crystalline system can be enhanced by uniformly doping with ferromagnetic grains and the orientational state of the ferronematic material can be fully controlled by a rather weak magnetic field (much less than 10 mT)
23
. Raikher and Stepanov have discussed a transient birefringence response of a nematic liquid crystal doped with single-domain ferromagnetic particles and have derived a set of coupled macroscopic equations describing the evolution of the director texture and the magnetization distribution within the ferronematic material during the change of the external field
24
. It has been disclosed that many properties of liquid crystal can be improved and enhanced by doping with ferromagnetic grains, which are favorable for practical applications
25
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27
28
.
Considering the unique properties of MFs and ferronematic materials, doping MFs with nematic liquid crystal is attractive and needs further in-depth investigation. To the best of our knowledge, few experiments about the magnetic-field-induced birefringence Δn and figure of merit of optical properties Q (Q = Δn/α, where α is the extinction coefficient) of this composite have been done. This work will experimentally investigate the magnetic-field- and concentration-dependent Δn and Q of the as-prepared ferronematic materials. The results of this work may be helpful to better understand the optical properties of nematic liquid crystal-doped MFs (ferronematic materials) and extend the applications of MFs in optical field.
Methods
Preparation of ferronematic materials
The ferronematic materials investigated in this work are a mixture of MFs and nematic liquid crystals. The oil-based Fe3O4 MF with volume fraction of 5.62% was provided by Ferrotec Corporation (Chuo-ku, Tokyo, Japan). The 4-cyano-4′-pentylbiphenyl (C18H19N) nematic liquid crystal (5CB) was provided by Shijiazhuang Huarui Scientific and Technological Co., Ltd (Shijiazhuang, Hebei, China). The MF was diluted with the liquid paraffin carrier (provided by Sinopharm Chemical Reagent Co., Ltd, Shanghai, China) with ultrasonic agitation of about 2 h. The as-prepared pure MF samples have four different concentrations of magnetic particles, referred as samples a (1:8), b (1:10), c (1:12), and d (1:14). The numbers in the brackets indicate the volume ratio of MF to liquid paraffin used to mix. The volume fractions of the magnetic particle for samples a, b, c, and d are 0.62%, 0.51%, 0.43%, and 0.37%, respectively, as shown in Table 1.
<p>Table 1</p>
Pure MF samples with different concentrations of magnetic particles
Sample
Volume ratio of pure MF to liquid paraffin
Volume fraction of magnetic particle
a
1:8
0.62%
b
1:10
0.51%
c
1:12
0.43%
d
1:14
0.37%
To investigate the optical properties of ferronematic materials with different concentrations of magnetic particles, 1 ml of 5CB and 3 ml of any one of sample a, b, c, or d are mixed to obtain samples a-5CB, b-5CB, c-5CB and d-5CB, respectively. The volume fractions of 5CB of these samples are the same (25.00%). Their magnetic particle volume fractions are 0.47%, 0.38%, 0.34% and 0.28%, respectively, as shown in Table 2.
<p>Table 2</p>
Concentrations of samples a-5CB, b-5CB, c-5CB, and d-5CB
Sample
Volume ratio of sample a, b, c, or d to 5CB
Volume fraction of magnetic particle
Volume fraction of 5CB
a-5CB
3:1
0.47%
25.00%
b-5CB
3:1
0.38%
25.00%
c-5CB
3:1
0.34%
25.00%
d-5CB
3:1
0.28%
25.00%
Similarly, a series of samples with a constant concentration of magnetic particle and different concentrations of 5CB are prepared and shown in Table 3. They are denoted as samples MF-5CB, MF-5CB(2), MF-5CB(3), and MF-5CB(4). The volume fraction of magnetic particle is fixed at 0.50%. Their volume fractions of 5CB are 23.08%, 19.34%, 15.24%, and 10.72%, respectively.
<p>Table 3</p>
Concentrations of samples MF-5CB, MF-5CB(2), MF-5CB(3), and MF-5CB(4)
Sample
Volume fraction of magnetic particle
Volume fraction of 5CB
MF-5CB
0.50%
23.08%
MF-5CB(2)
0.50%
19.34%
MF-5CB(3)
0.50%
15.24%
MF-5CB(4)
0.50%
10.72%
Experiments
The magnetic-field-induced birefringence of the as-prepared ferronematic samples can be measured by the light extinction method, which consists of a sample cell placed between accurately set ‘crossed’ polarizers as shown in Figure 1
29
. A single-mode He-Ne laser emitting linearly polarized light with a wavelength of 632.8 nm is employed. The propagation direction of the incident light is normal to the applied magnetic field. The thin film sample is placed between a pair of solenoids, which generate a uniform horizontal magnetic field in the sample region. The strength of magnetic field can be adjusted by tuning the magnitude of the supply current. For the birefringence measurement, the optimum angle of the polarization direction of the incident linearly polarized light with respect to the magnetic field should be around π/4
30
. At a given magnetic field, the light transmittance after the analyzer is investigated. Through rotating the analyzer, the maximum and minimum transmitted intensities (I
max and I
min) are measured, respectively. The birefringence Δn can be determined according the following:
Δ
n
=arcsin
2
I
min
/
I
max
c
h
h
1
−
h
2
1
+
I
min
/
I
max
λ
/
2
π
d
,
where d equals 170 μm and λ is 632.8 nm;
h
i
i
=
1
,
2
are the electric field absorption coefficients for the polarization direction of the incident light paralleling and being perpendicular to the magnetic field, respectively, which can be obtained by solving
I
i
=
I
oi
e
−
2
h
i
H
.
I
oi
and
I
i
are the transmitted intensities of the sample under zero and certain magnetic field. Therefore, the birefringence of the sample as a function of magnetic field can be acquired by measuring I
max, I
min, I
oi
, and I
i
at different magnetic fields.
<p>Figure 1</p>Schematic of the experimental setup for measuring the birefringence of the ferronematic materials
Schematic of the experimental setup for measuring the birefringence of the ferronematic materials.
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Results and discussion
Figure 2 shows the birefringence of pure MFs with different magnetic particle concentrations as a function of magnetic induction. From Figure 2, we can see that the birefringence of samples a to d increases gradually with the magnetic induction and tends to saturate at high field. This is attributed to the formation of magnetic chains under external magnetic field. Application of external magnetic field will induce structural ordering within the MF confined between two glass plates, which are due to the interaction between the magnetic dipoles induced at the particle sites
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. This results in the optical anisotropy of MF under applied magnetic field. When the applied magnetic field is small, the aligned discrete magnetic short chains will form. With further increasing the strength of the magnetic field, the short chains will start to combine with each other to become longer discrete chains. The longer the chain structure is, the stronger the spatial anisotropy is and the larger the birefringence of MF becomes.
<p>Figure 2</p>Birefringence of pure MFs and MFs doped with 5CB
Birefringence of pure MFs and MFs doped with 5CB. Birefringence of pure MFs with different magnetic particle concentrations and MFs doped with 5CB as a function of magnetic induction.
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Figure 2 also indicates that samples with high volume fraction of magnetic particle have high birefringence under the same field strength. Low concentration of magnetic particles will lead to weak interaction between magnetic particles under the fixed field. The average distance between the magnetic particles within the samples will then become relatively large. Therefore, the number of chains per unit area will decrease as the concentration of magnetic particles decreases, which contributes to the low degree of structure anisotropy and then small value of birefringence of the sample under low field.
The experimental results for the corresponding ferronematic samples (samples a-5CB, b-5CB, c-5CB, and d-5CB) are also shown in Figure 2, which are very similar to those of the pure MF samples. Table 2 shows that all the ferronematic samples have the same volume fraction of 5CB (25.00%) but have different magnetic particle volume fractions, so the variation in birefringence between different ferronematic samples is attributed to the change of magnetic particle concentration. Besides, the birefringence of the ferronematic samples is weaker than those of the corresponding pure MF samples. This is probably assigned to the decrease of magnetic particle concentration through doping 5CB.
To further investigate the influence of 5CB concentration on the birefringence of ferronematic samples, the birefringence of samples MF-5CB, MF-5CB(2), MF-5CB(3), and MF-5CB(4) is also measured, and the experimental results are shown in Figure 3. Table 3 shows that all the ferronematic samples have the same volume fraction of magnetic particles (0.50%) but have different 5CB volume fractions. The Δn-B curves for different samples in Figure 3 almost overlap with each other, which mean that only the magnetic particle concentration is crucial to the birefringence of the samples, and 5CB concentration has no influence on the birefringence of the samples.
<p>Figure 3</p>Birefringence of samples with different volume fractions of 5CB as a function of magnetic induction
Birefringence of samples with different volume fractions of 5CB as a function of magnetic induction. The magnetic particle volume fraction is fixed.
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For most practical applications to MF-based photonic devices, the values of birefringence and transmittance of the materials are two very critical parameters. Pure MFs and ferronematic materials with higher magnetic particle concentration have higher absorption, though they have a higher value of birefringence. The figure of merit of optical properties Q defined as Δn/α may be appropriate to evaluate their optical properties. The larger the value of Q is, the better the optical properties of the samples are. Though 5CB does not contribute to the birefringence, it will lessen the extinction coefficient of the sample, which will be beneficial to enhance the value of Q. To obtain the value of Q, the extinction coefficient α of the first two series of samples (Tables 1 and 2) as a function of magnetic induction are measured and shown in Figure 4. Figure 4 indicates that the extinction coefficient does not change with the field strength for a given sample. Moreover, the sample with higher volume fraction of magnetic particle has a larger extinction coefficient.
<p>Figure 4</p>Extinction coefficients of pure MFs and doped MFs
Extinction coefficients of pure MFs and doped MFs. Extinction coefficients of pure MFs with different magnetic particle concentrations and MFs doped with 5CB as functions of magnetic induction.
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The calculated value of Q of the pure MFs and their corresponding ferronematic samples as a function of magnetic induction is plotted in Figure 5. From Figure 5, we can see that the value of Q for samples a to d increases gradually with the applied magnetic field and tends to saturate at high field, while the value of Q does not vary with the magnetic particle concentration under the same field strength. This means that the magnetic particle concentration has no influence on the figure of merit of optical properties of the samples. The magnetic-field-dependent values of Q for the corresponding ferronematic samples (samples a-5CB, b-5CB, c-5CB, and d-5CB) are very similar to those of the pure MF samples. However, the ferronematic samples have larger values of Q than their corresponding pure MF samples at high field region. When doped with 5CB, the magnetic particle concentration of the ferronematic samples will reduce compared with the corresponding pure MF samples. This will result in the decrease of birefringence and the increase of transparency of the sample. The experimental results in Figure 5 indicate that the latter effect outweighs the former one at high field region. This leads to the augment of the value of Q, i.e., enhanced optical properties for the ferronematic materials at high field region. Figure 5 also implies that 5CB is crucial to the figure of merit of optical properties of the samples and that magnetic particle concentration has no influence on the figure of merit of optical properties of the samples.
<p>Figure 5</p>of merit of optical properties and the relative enhancement of the Q value
Figure of merit of optical properties and the relative enhancement of theQvalue. Figure of merit of optical properties of the pure MFs and MFs doped with 5CB and the relative enhancement of Q value of the corresponding ferronematic samples as functions of magnetic induction.
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To quantify the enhanced optical properties, the relative enhancement of the Q value defined as
Q
R
=
Q
MF
+
5
CB
−
Q
MF
/
Q
MF
×
100
as a function of magnetic field is calculated and plotted in Figure 5. Herein, Q
MF and Q
MF+5CB are the Q values at a certain magnetic field for the pure MF samples and their corresponding ferronematic material samples, respectively. Figure 5 shows that Q
R increases with the applied magnetic field and tends to saturate at high field. When the externally magnetic field B is less than 50 mT, the Q
R is slight, while Q
R becomes notable when B is larger than 50 mT. Comparing with the Q value of the pure MF samples, the relative enhancement of Q value of the corresponding ferronematic samples (Q
R) can reach about 6.8%.
To investigate the influence of 5CB concentration on the extinction coefficient and figure of merit of optical properties of the ferronematic samples, experiments are done with samples MF-5CB, MF-5CB(2), MF-5CB(3), and MF-5CB(4), and the results are shown in Figure 6. Figure 6 shows that the extinction coefficient does not change with the field strength for a given sample and that the ferronematic sample with higher volume fraction of 5CB has a smaller extinction coefficient.
<p>Figure 6</p>Extinction coefficient and figure of merit of samples as functions of magnetic induction
Extinction coefficient and figure of merit of samples as functions of magnetic induction. With fixed magnetic particle volume fraction and different volume fractions of 5CB.
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Figure 6 also indicates that the value of Q increases gradually with the applied magnetic field and tends to saturate at high field. Moreover, the higher the volume fraction of 5CB is, the higher the value of Q is under certain fixed field strength. Therefore, the value of Q for the ferronematic materials can be tuned by adjusting the volume fraction of 5CB.