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Japanese Journal of Applied
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BRIEF NOTES • OPEN ACCESS
Thermal-optical analysis of polymer–liquid crystal
microfibers
To cite this article: Rusliana Fatayati et al 2018 Jpn. J. Appl. Phys. 57 088005
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This content was downloaded from IP address 14.192.212.198 on 11/07/2019 at 11:34
Thermal-optical analysis of polymer–liquid crystal microfibers
Rusliana Fatayati1
, Ahmad Kusumaatmaja1,2
, and Yusril Yusuf1,2
*
1
Department of Physics, Faculty of Mathematics and Natural Science, Gadjah Mada University, Sekip Utara Yogyakarta 55281, Indonesia
2
Nanomaterial Research Groups, Gadjah Mada University, Sekip Utara Yogyakarta 55281, Indonesia
*E-mail: yusril@ugm.ac.id
Received February 26, 2018; accepted May 8, 2018; published online July 17, 2018
In this paper, the analysis of optically responsive microfibers with uniaxially ordered liquid crystal (LC) molecules at their cores is discussed. LC
microfibers were electrospun from a solution of poly(vinyl pyrrolidone) (PVP) and N-(4-methoxybenzylidene)-4$-butylaniline (MBBA) using absolute
alcohol as a solvent. Two parallel copper (Cu) collectors were used to obtain ordered fibers. The microfibers with oriented LC molecules were well
fabricated at a voltage of 5 kV. A thermal-optical analysis revealed that the fibers were responsive to temperature. The rise of temperature from
nematic to isotropic phase of LC decreased the LC intensity under a polarized optical microscope (POM).
© 2018 The Japan Society of Applied Physics
A microfiber is a one-dimensional (1D) ultrafine microstruc-
ture. Microfibers have gained significant interest in recent
years owing to their potential applications to adsorption,
filtration, drug delivery, and electrochemical fields, among
others.1–3)
A conductive polymer is used as the main material
in electrospinning, and it is dissolved in a solvent solution
to be produced as fibers using an electrospinning apparatus.
Recently, many researchers have studied electrospinning by
combining a polymer with other materials, such as nano-
particles and liquid crystals (LCs). Many applications of LCs
have been demonstrated using a fabricated polymer LC com-
posite.4–6)
Research on polymer LC composites is interesting
because of the unique characteristics of LCs. LC molecules
have a positional order similarly to that of molecules in
solids, but they can move freely similarly to molecules in
liquids.7)
The most interesting property of LCs is their ability
to respond to stimuli, such as external field,8,9)
light,10,11)
and
mechanical stress.12)
Recent studies have examined electrospinning and LCs to
discover potential LC applications.13–16)
Kim et al. reported
that the LC functionalization of electrospun polymer fibers
has several potential applications, especially in wearable
technologies, such as fibers integrated with sensors.17)
In this study, functional optical fibers were fabricated
using polymer LC fibers. The fibers underwent noncoaxial
electrospinning. The sample needed to form oriented fibers to
develop bright and dark microfiber patterns. Therefore, the
electrospinning apparatus was modified; two parallel Cu gap
collectors were added. A polymer used in previous studies
was used.14)
Poly(vinyl pyrrolidone) (PVP) is a transparent
linear polymer, so it does not have birefringence. This study
focused on other physical properties. Heat was applied to the
fibers and the effect of temperature change on the optical
appearance of the fibers was analyzed.
The polymer used in this study was PVP (1,300,000
g mole−1
) purchased from Sigma-Aldrich. The polymer
solvent used was absolute ethanol obtained from Merck. A
nematic N-(4-methoxybenzylidene)-4A-butylaniline (MBBA)
LC (67.37 g mole−1
), provided by Tokyo Chemical Industry
was also used.
The electrospinning solution was prepared using two steps.
First, the polymer solution was prepared by dissolving PVP
in absolute ethanol for 2 h using room-temperature hot plate
stirrers. Second, the PVP solutions were mixed with MBBA
for 1 d using a room-temperature hot plate stirrer. An elec-
trospinning apparatus was set up with high voltages of 5 and
10 kV, and the distance between the needle and collectors
was 10 cm. The aligned fibers were obtained by modifying
the collectors. The collectors were two-dimensional (2D)
modified Cu; each measured 7.9 × 1.5 × 0.15 cm3
, and the
gap between them was 2 cm.
Thermal-optical transmittance measurements of the sam-
ples were completed. Two glasses coated with indium tin
oxide (ITO) were used as substrates to obtain a sample cell.
The substrates were separated by two parallel Mylar spacer
strips. The cell construction was aimed to maintain a stable
thermal condition around the fibers. A heat control unit
(CHINO DB500) was used as a heat source. The cell was put
on an enclosed hot plate that could gain heat by inducing an
electric field. The transmitted light intensity (I) was measured
using a photodetector equipped with a photodiode and an
amplifier.
Uniaxially oriented polymer LC microfibers were success-
fully fabricated. They had diameters smaller than 6 µm. These
fibers formed at PVP concentrations of 15 to 20 wt %.
The PVP–MBBA mass ratio that could produce fibers was
smaller than 3 : 3 g. The best voltage was 5 kV, which was
much lower than that in a previous study.15)
This could be
due to the fact that the modified collectors used for this study
had higher conductivities; thus, they could draw a stronger
electric field.18)
The fibers were observed using a POM. The POM was
equipped with a first-order retardation plate (λ = 530 nm) to
determine the optical signs of birefringence of each sample.
The planar alignment of MBBA in the fibers was determined
from the interference color shift. When the slow axis of the
retardation plate (RP) coincided with that of LCs, the fibers
displayed a positive birefringence. Otherwise, the fibers
displayed a negative birefringence. The fibers were placed
at 45° with respect to the transmission orientations of the
polarizer (P) and analyzer (A). As shown in Figs. 1(a) and
1(b), yellow interference was observed when the samples
were oriented southeast to northwest, while green interfer-
ence was observed when the samples were oriented northeast
Content from this work may be used under the terms of the Creative Commons Attribution 4.0 license. Any further distribution of
this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.
Japanese Journal of Applied Physics 57, 088005 (2018)
https://doi.org/10.7567/JJAP.57.088005
BRIEF NOTE
088005-1 © 2018 The Japan Society of Applied Physics
to southwest. Both colors indicated a positive birefringence.
Because PVP has no birefringence, the positive birefringence
was formed by the LC molecules in the fibers. The sample
also showed that the optic axis (N) followed the fiber axis,
resulting in the director of LC alignment along with the
fiber axis.
LCs respond optically to temperature changes. The
thermal-optical measurement procedure used in this study
was simple. The PVP MBBA fibers were placed on a hot
plate and heated from room temperature (25 °C) to 40 °C. The
fibers were optically observed using the POM to determine the
effect of temperature on the morphology or optical appearance
of the fibers shown in Fig. 2. As the temperature increased,
the brightness of the fibers slowly decreased until it became
completely dark, as shown in Fig. 2(c). The fibers were
cooled to room temperature. The fibers shone [as shown in
Fig. 2(d)] as the temperature decreased, indicating that they
had reached the nematic phase again. As MBBA does not
have a smectic phase19)
and only exhibits a nematic–isotropic
transition, the decrease in the intensity of transmitted light
passing through the molecules was stable from nematic
(maximum intensity) to isotropic (minimum intensity). This
result shows that PVP MBBA fibers have potential applica-
tions. For example, they could sense the temperature of a
human body, as they do not need high temperatures to react.
The light intensity of the PVP MBBA fibers was meas-
ured. A photodetector was used to observe the heating and
cooling of the fibers. Figure 3 shows that, during heating,
the intensity of transmitted light slowly decreased until it
saturated at 32.5 °C. This indicates that the LC molecules
reached the isotropic phase, as shown by the dark pattern in
Fig. 2(c). The temperature at which the sample reached the
isotropic phase (32.5 °C) was much lower than that at which
pure MBBA reached the isotropic phase in previous
studies.20)
This could be due to the polymer material.14)
During cooling, the intensity of transmitted light became
maximum. It then saturated when it reached the nematic
phase and its value was the same as it was initially. Different
temperature points (ΔTN) for the nematic phase (or bright
pattern) were observed during heating and cooling. The tem-
perature point for the nematic phase was 26 °C during
heating, while that for the nematic phase was 25.2 °C during
cooling. This means that the time it took for the molecules to
rise from the isotropic phase and reach the perfect nematic
phase (maximum intensity) was longer than that it took for
the molecules to move during heating and reach the dark
Fig. 1. (Color online) PVP MBBA fibers under the crossed polarizer and
first-order retardation plate. (a) is the southeast–northwest alignment and
(b) is the northeast–southwest alignment.
Fig. 2. PVP MBBA fibers aligned under the crossed polarizer at (a) 26, (b) 30.42, (c) 32.5, and (d) 25.2 °C.
Fig. 3. Effect of temperature on the transmitted light intensity.
Jpn. J. Appl. Phys. 57, 088005 (2018) R. Fatayati et al.
088005-2 © 2018 The Japan Society of Applied Physics
condition. Note that hysteresis occurred during the transi-
tion of LC microfibers from the nematic phase to the iso-
tropic phase, as shown in Fig. 3.21)
The hysteresis was
ΔT = 30 °C − 29.3 °C = 0.7 °C. Polymer concentrations
could modify the hysteresis.
PVP MBBA fibers were successfully fabricated by non-
coaxial electrospinning. Uniformly oriented LC microfibers
were obtained with modified Cu collectors, a high voltage
of 5 kV, and a polymer with a high molecular weight.
A thermal-optical analysis showed that the fibers responded
to temperature stimuli.
Acknowledgments This study was supported by grants from the PUPT
and PMDSU. The authors are grateful for financial support from the Republic of
Indonesia’s Ministry of Research, Technology and Higher Education.
1) Y. Liang, D. Wu, and R. Fu, Sci. Rep. 3, 1119 (2013).
2) F. Dotti, A. Varesano, A. Montarsolo, A. Aluigi, C. Tonin, and G.
Mazzuchetti, J. Ind. Text. 37, 151 (2007).
3) J. Xue, Y. Niu, M. Gong, R. Shi, D. Chen, L. Zhang, and Y. Lvov, ACS
Nano 9, 1600 (2015).
4) S. Petsch, R. Rix, B. Khatri, S. Schuhladen, P. Müller, R. Zentel, and H.
Zappe, Sens. Actuators A 231, 44 (2015).
5) T. Hsu, C. Lu, and W. Shih, Proc. SICE Annu. Conf., 2010, p. 2345.
6) B. C. Ohm, M. Brehmer, and R. Zentel, Adv. Mater. 22, 3366 (2010).
7) S. Chandrasekhar, Liquid Crystal (Cambridge University Press, New York,
1992) p. 33.
8) R. A. M. Hikmet and H. Kemperman, Nature 392, 476 (1998).
9) T. J. White, R. L. Bricker, L. V. Natarajan, V. P. Tondiglia, L. Green, Q. Li,
and T. J. Bunning, Opt. Express 18, 173 (2010).
10) M. Moriyama, S. Song, H. Matsuda, and N. Tamaoki, J. Mater. Chem. 11,
1003 (2001).
11) S. Abraham, V. A. Mallia, K. V. Ratheesh, N. Tamaoki, and S. Das, J. Am.
Chem. Soc. 128, 7692 (2006).
12) J. Schmidtke, S. Kniesel, and H. Finkelmann, Macromolecules 38, 1357
(2005).
13) S. Krause, R. Dersch, J. H. Wendorff, and H. Finkelmann, Macromol. Rapid
Commun. 28, 2062 (2007).
14) J. P. F. Lagerwall, J. T. McCann, E. Formo, G. Scalia, and Y. Xia, Chem.
Commun., 5420 (2008).
15) E. A. Buyuktanir, M. W. Frey, and J. L. West, Polymer 51, 4823 (2010).
16) B. Mahendra, F. Nugroho, and Y. Yusuf, Jpn. J. Appl. Phys. 57, 021701
(2018).
17) D. K. Kim, M. Hwang, and J. P. F. Lagerwall, J. Polym. Sci., Part B 51, 855
(2013).
18) J. Stanger, N. Tucker, A. Wallace, N. Larsen, M. Staiger, and R. Reeves,
J. Appl. Polym. Sci. 112, 1729 (2009).
19) R. Basu, R. Petschek, and C. Rosenblatt, Phys. Rev. E 83, 041707 (2011).
20) R. Konrad and G. M. Schneider, Mol. Cryst. Liq. Cryst. 51, 57 (1979).
21) Q. Li, Liquid Crystals Beyond Displays (Wiley, New York, 2012) p. 115.
Jpn. J. Appl. Phys. 57, 088005 (2018) R. Fatayati et al.
088005-3 © 2018 The Japan Society of Applied Physics

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Thermal-optical analysis of polymer–liquid crystal microfibers

  • 1. Japanese Journal of Applied Physics BRIEF NOTES • OPEN ACCESS Thermal-optical analysis of polymer–liquid crystal microfibers To cite this article: Rusliana Fatayati et al 2018 Jpn. J. Appl. Phys. 57 088005 View the article online for updates and enhancements. Related content Photoinduced Disordering Dynamics of a Cyanobiphenyl Liquid Crystal Containing Quinizarin Shin'ya Morino, Hiromitsu Takahashi and Kazuyuki Horie - Photonic-structured fibers assembled from cellulose nanocrystals with tunable polarized selective reflection Xin Meng, Hui Pan, Tao Lu et al. - Nanosize-Induced Optically Isotropic Nematic Phase Satoshi Aya, Khoa V. Le, Fumito Araoka et al. - This content was downloaded from IP address 14.192.212.198 on 11/07/2019 at 11:34
  • 2. Thermal-optical analysis of polymer–liquid crystal microfibers Rusliana Fatayati1 , Ahmad Kusumaatmaja1,2 , and Yusril Yusuf1,2 * 1 Department of Physics, Faculty of Mathematics and Natural Science, Gadjah Mada University, Sekip Utara Yogyakarta 55281, Indonesia 2 Nanomaterial Research Groups, Gadjah Mada University, Sekip Utara Yogyakarta 55281, Indonesia *E-mail: yusril@ugm.ac.id Received February 26, 2018; accepted May 8, 2018; published online July 17, 2018 In this paper, the analysis of optically responsive microfibers with uniaxially ordered liquid crystal (LC) molecules at their cores is discussed. LC microfibers were electrospun from a solution of poly(vinyl pyrrolidone) (PVP) and N-(4-methoxybenzylidene)-4$-butylaniline (MBBA) using absolute alcohol as a solvent. Two parallel copper (Cu) collectors were used to obtain ordered fibers. The microfibers with oriented LC molecules were well fabricated at a voltage of 5 kV. A thermal-optical analysis revealed that the fibers were responsive to temperature. The rise of temperature from nematic to isotropic phase of LC decreased the LC intensity under a polarized optical microscope (POM). © 2018 The Japan Society of Applied Physics A microfiber is a one-dimensional (1D) ultrafine microstruc- ture. Microfibers have gained significant interest in recent years owing to their potential applications to adsorption, filtration, drug delivery, and electrochemical fields, among others.1–3) A conductive polymer is used as the main material in electrospinning, and it is dissolved in a solvent solution to be produced as fibers using an electrospinning apparatus. Recently, many researchers have studied electrospinning by combining a polymer with other materials, such as nano- particles and liquid crystals (LCs). Many applications of LCs have been demonstrated using a fabricated polymer LC com- posite.4–6) Research on polymer LC composites is interesting because of the unique characteristics of LCs. LC molecules have a positional order similarly to that of molecules in solids, but they can move freely similarly to molecules in liquids.7) The most interesting property of LCs is their ability to respond to stimuli, such as external field,8,9) light,10,11) and mechanical stress.12) Recent studies have examined electrospinning and LCs to discover potential LC applications.13–16) Kim et al. reported that the LC functionalization of electrospun polymer fibers has several potential applications, especially in wearable technologies, such as fibers integrated with sensors.17) In this study, functional optical fibers were fabricated using polymer LC fibers. The fibers underwent noncoaxial electrospinning. The sample needed to form oriented fibers to develop bright and dark microfiber patterns. Therefore, the electrospinning apparatus was modified; two parallel Cu gap collectors were added. A polymer used in previous studies was used.14) Poly(vinyl pyrrolidone) (PVP) is a transparent linear polymer, so it does not have birefringence. This study focused on other physical properties. Heat was applied to the fibers and the effect of temperature change on the optical appearance of the fibers was analyzed. The polymer used in this study was PVP (1,300,000 g mole−1 ) purchased from Sigma-Aldrich. The polymer solvent used was absolute ethanol obtained from Merck. A nematic N-(4-methoxybenzylidene)-4A-butylaniline (MBBA) LC (67.37 g mole−1 ), provided by Tokyo Chemical Industry was also used. The electrospinning solution was prepared using two steps. First, the polymer solution was prepared by dissolving PVP in absolute ethanol for 2 h using room-temperature hot plate stirrers. Second, the PVP solutions were mixed with MBBA for 1 d using a room-temperature hot plate stirrer. An elec- trospinning apparatus was set up with high voltages of 5 and 10 kV, and the distance between the needle and collectors was 10 cm. The aligned fibers were obtained by modifying the collectors. The collectors were two-dimensional (2D) modified Cu; each measured 7.9 × 1.5 × 0.15 cm3 , and the gap between them was 2 cm. Thermal-optical transmittance measurements of the sam- ples were completed. Two glasses coated with indium tin oxide (ITO) were used as substrates to obtain a sample cell. The substrates were separated by two parallel Mylar spacer strips. The cell construction was aimed to maintain a stable thermal condition around the fibers. A heat control unit (CHINO DB500) was used as a heat source. The cell was put on an enclosed hot plate that could gain heat by inducing an electric field. The transmitted light intensity (I) was measured using a photodetector equipped with a photodiode and an amplifier. Uniaxially oriented polymer LC microfibers were success- fully fabricated. They had diameters smaller than 6 µm. These fibers formed at PVP concentrations of 15 to 20 wt %. The PVP–MBBA mass ratio that could produce fibers was smaller than 3 : 3 g. The best voltage was 5 kV, which was much lower than that in a previous study.15) This could be due to the fact that the modified collectors used for this study had higher conductivities; thus, they could draw a stronger electric field.18) The fibers were observed using a POM. The POM was equipped with a first-order retardation plate (λ = 530 nm) to determine the optical signs of birefringence of each sample. The planar alignment of MBBA in the fibers was determined from the interference color shift. When the slow axis of the retardation plate (RP) coincided with that of LCs, the fibers displayed a positive birefringence. Otherwise, the fibers displayed a negative birefringence. The fibers were placed at 45° with respect to the transmission orientations of the polarizer (P) and analyzer (A). As shown in Figs. 1(a) and 1(b), yellow interference was observed when the samples were oriented southeast to northwest, while green interfer- ence was observed when the samples were oriented northeast Content from this work may be used under the terms of the Creative Commons Attribution 4.0 license. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI. Japanese Journal of Applied Physics 57, 088005 (2018) https://doi.org/10.7567/JJAP.57.088005 BRIEF NOTE 088005-1 © 2018 The Japan Society of Applied Physics
  • 3. to southwest. Both colors indicated a positive birefringence. Because PVP has no birefringence, the positive birefringence was formed by the LC molecules in the fibers. The sample also showed that the optic axis (N) followed the fiber axis, resulting in the director of LC alignment along with the fiber axis. LCs respond optically to temperature changes. The thermal-optical measurement procedure used in this study was simple. The PVP MBBA fibers were placed on a hot plate and heated from room temperature (25 °C) to 40 °C. The fibers were optically observed using the POM to determine the effect of temperature on the morphology or optical appearance of the fibers shown in Fig. 2. As the temperature increased, the brightness of the fibers slowly decreased until it became completely dark, as shown in Fig. 2(c). The fibers were cooled to room temperature. The fibers shone [as shown in Fig. 2(d)] as the temperature decreased, indicating that they had reached the nematic phase again. As MBBA does not have a smectic phase19) and only exhibits a nematic–isotropic transition, the decrease in the intensity of transmitted light passing through the molecules was stable from nematic (maximum intensity) to isotropic (minimum intensity). This result shows that PVP MBBA fibers have potential applica- tions. For example, they could sense the temperature of a human body, as they do not need high temperatures to react. The light intensity of the PVP MBBA fibers was meas- ured. A photodetector was used to observe the heating and cooling of the fibers. Figure 3 shows that, during heating, the intensity of transmitted light slowly decreased until it saturated at 32.5 °C. This indicates that the LC molecules reached the isotropic phase, as shown by the dark pattern in Fig. 2(c). The temperature at which the sample reached the isotropic phase (32.5 °C) was much lower than that at which pure MBBA reached the isotropic phase in previous studies.20) This could be due to the polymer material.14) During cooling, the intensity of transmitted light became maximum. It then saturated when it reached the nematic phase and its value was the same as it was initially. Different temperature points (ΔTN) for the nematic phase (or bright pattern) were observed during heating and cooling. The tem- perature point for the nematic phase was 26 °C during heating, while that for the nematic phase was 25.2 °C during cooling. This means that the time it took for the molecules to rise from the isotropic phase and reach the perfect nematic phase (maximum intensity) was longer than that it took for the molecules to move during heating and reach the dark Fig. 1. (Color online) PVP MBBA fibers under the crossed polarizer and first-order retardation plate. (a) is the southeast–northwest alignment and (b) is the northeast–southwest alignment. Fig. 2. PVP MBBA fibers aligned under the crossed polarizer at (a) 26, (b) 30.42, (c) 32.5, and (d) 25.2 °C. Fig. 3. Effect of temperature on the transmitted light intensity. Jpn. J. Appl. Phys. 57, 088005 (2018) R. Fatayati et al. 088005-2 © 2018 The Japan Society of Applied Physics
  • 4. condition. Note that hysteresis occurred during the transi- tion of LC microfibers from the nematic phase to the iso- tropic phase, as shown in Fig. 3.21) The hysteresis was ΔT = 30 °C − 29.3 °C = 0.7 °C. Polymer concentrations could modify the hysteresis. PVP MBBA fibers were successfully fabricated by non- coaxial electrospinning. Uniformly oriented LC microfibers were obtained with modified Cu collectors, a high voltage of 5 kV, and a polymer with a high molecular weight. A thermal-optical analysis showed that the fibers responded to temperature stimuli. Acknowledgments This study was supported by grants from the PUPT and PMDSU. The authors are grateful for financial support from the Republic of Indonesia’s Ministry of Research, Technology and Higher Education. 1) Y. Liang, D. Wu, and R. Fu, Sci. Rep. 3, 1119 (2013). 2) F. Dotti, A. Varesano, A. Montarsolo, A. Aluigi, C. Tonin, and G. Mazzuchetti, J. Ind. Text. 37, 151 (2007). 3) J. Xue, Y. Niu, M. Gong, R. Shi, D. Chen, L. Zhang, and Y. Lvov, ACS Nano 9, 1600 (2015). 4) S. Petsch, R. Rix, B. Khatri, S. Schuhladen, P. Müller, R. Zentel, and H. Zappe, Sens. Actuators A 231, 44 (2015). 5) T. Hsu, C. Lu, and W. Shih, Proc. SICE Annu. Conf., 2010, p. 2345. 6) B. C. Ohm, M. Brehmer, and R. Zentel, Adv. Mater. 22, 3366 (2010). 7) S. Chandrasekhar, Liquid Crystal (Cambridge University Press, New York, 1992) p. 33. 8) R. A. M. Hikmet and H. Kemperman, Nature 392, 476 (1998). 9) T. J. White, R. L. Bricker, L. V. Natarajan, V. P. Tondiglia, L. Green, Q. Li, and T. J. Bunning, Opt. Express 18, 173 (2010). 10) M. Moriyama, S. Song, H. Matsuda, and N. Tamaoki, J. Mater. Chem. 11, 1003 (2001). 11) S. Abraham, V. A. Mallia, K. V. Ratheesh, N. Tamaoki, and S. Das, J. Am. Chem. Soc. 128, 7692 (2006). 12) J. Schmidtke, S. Kniesel, and H. Finkelmann, Macromolecules 38, 1357 (2005). 13) S. Krause, R. Dersch, J. H. Wendorff, and H. Finkelmann, Macromol. Rapid Commun. 28, 2062 (2007). 14) J. P. F. Lagerwall, J. T. McCann, E. Formo, G. Scalia, and Y. Xia, Chem. Commun., 5420 (2008). 15) E. A. Buyuktanir, M. W. Frey, and J. L. West, Polymer 51, 4823 (2010). 16) B. Mahendra, F. Nugroho, and Y. Yusuf, Jpn. J. Appl. Phys. 57, 021701 (2018). 17) D. K. Kim, M. Hwang, and J. P. F. Lagerwall, J. Polym. Sci., Part B 51, 855 (2013). 18) J. Stanger, N. Tucker, A. Wallace, N. Larsen, M. Staiger, and R. Reeves, J. Appl. Polym. Sci. 112, 1729 (2009). 19) R. Basu, R. Petschek, and C. Rosenblatt, Phys. Rev. E 83, 041707 (2011). 20) R. Konrad and G. M. Schneider, Mol. Cryst. Liq. Cryst. 51, 57 (1979). 21) Q. Li, Liquid Crystals Beyond Displays (Wiley, New York, 2012) p. 115. Jpn. J. Appl. Phys. 57, 088005 (2018) R. Fatayati et al. 088005-3 © 2018 The Japan Society of Applied Physics