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IOSR Journal of Electrical and Electronics Engineering (IOSR-JEEE)
e-ISSN: 2278-1676,p-ISSN: 2320-3331, Volume 10, Issue 5 Ver. II (Sep – Oct. 2015), PP 131-135
www.iosrjournals.org
DOI: 10.9790/1676-1052131135 www.iosrjournals.org 131 | Page
Analyzing the influences of work function Anode on the
Performance of OLED
Iman Farjamtalab1
, Alireza Kashaniniya1
, Reza Sabbaghi-Nadooshan1
1
(Department of Electrical Engineering/ Central Tehran Branch, Islamic Azad University, Tehran, Iran)
Abstract: In this work, we investigate the effect of increasing the work function of the anode on
luminancepower and recombination rate. For this purpose, we choose a high-work function anode, and a low-
work function anode. Then, we investigate their influences on luminance power and recombination rate.
Therefore, two organic light-emitting diodes are designed by utilizing the indium tin oxide (ITO) anode and zinc
oxide (ZnO) anode, and then we compare their performance. We utilize Langevin model and Poole-Frenkel
model to analyze the OLEDs. The results indicate that increasing work function anode affects increasing
luminance power, anode current and recombination rate.
Keywords: OLED; work function anode; ITO; ZnO; work function
I. Introduction
By studying the different reports, we understand that there are various factors that influence on
performance such as band gap, conductance, and work function. Transparent indium tin oxide (ITO) is
commonly used as the anode in the organic electronic devices such as organic light-emitting diodes (OLEDs)
and organic photovoltaic devices (OPVs) according to its high conductivity and excellent transmission of light
[1–2]. However, ITO is toxic, expensive, and inflexible [3–4]. In addition, the graphene is suitable for the future
portable electronics because it has high transparency in visible wavelength and better flexibility than the existing
transparent conductive electrodes (TCEs) such as ITO, aluminum zinc oxide (AZO), and indium zinc oxide
(IZO) [5]. Nowadays, the graphene has been widely used in optoelectronic devices including organic
photovoltaic and OLEDs [6].
In spite of its great potential as TCEs, there are several problems to achieve high performance for good
transparent conductors. First, the sheet resistance of the commercialized graphene is not enough to fabricate a
high-performance device and the value is about 300  [7]. Methods to overcome a high-sheet resistance caused
by interval scattering in grain boundary are needed. Second, electrodes of organic electronic devices need
qualified work function to achieve good carrier injection property [8]. However, the work function (4.5 eV) of
graphene is not enough to apply for anodes of organic optoelectronics. Its work function is also too high to
apply for a cathode [9–10].
In this work we have utilized three-layer device including of the MEH-PPV polymer film sandwiched between
an ITO coated (or ZnO)and a metal. In addition, the polymer film is p-type doped with a uniform concentration
of 1 × 1016
cm-3
.Increasing doping affects increasing the recombination rate of MEH-PPV. The work function
of ITO is 4.7eV that hole-injection barrier of 0.2eV given the polymer highest occupied molecular orbital
(HOMO) level of 4.9eV. The work function of cathode is 2.9eV (we have considered calcium as a cathode).
II. Simulation
In this work, we have simulated two OLEDs (with SILVACO Atlas) with different work function anode.We
used Poole-Frenkel and Langevin model for simulation of PLED. In Poole–Frenkel model, dependence of μ on
the electric field (E) must be considered [12]. The zero-field mobility (𝜇 𝐸=0) and the parameter E0 dictates how
strongly μ is modified by the field:
𝜇 𝐸 = 𝜇 𝐸=0 exp
𝐸
𝐸0
1
2
(1)
Where 𝜇 𝐸=0= 𝜇0 exp
−∆
𝐾 𝐵 𝑇
with μ0 a constant and Δ the activation energy. In this case, current density is
approximately [13]:
𝐽 𝐹 ≈ 9.8 𝜀𝜀0
𝑉2
𝑑3
𝜇 𝐸=0 exp
𝑒3
𝜋𝜀𝜀0 𝑑
1
2 𝑉
1
2
𝐾𝐵 𝑇
(2)
Analyzing the influences of work function Anode on the Performance of OLED
DOI: 10.9790/1676-1052131135 www.iosrjournals.org 132 | Page
2.1. The first OLED with a low-work function anode:
This OLED has been fabricated by three layers that include ITO, MEH-PPV, and Ca/Al. ITO as an anode,
MEH-PPV as an organic layer and an intermediate layer, and Ca/Al as the cathode. The thickness of the anode,
cathode, and intermediate layer are 37.5nm, 40nm, and 40nm,respectively.The work function of the anode and
cathode that have been utilized in this work are 4.7eVand 2.9eV, respectively. The structure of the OLED is
shown in Figure1.
Figure.1.The structure of OLED.
Current density curves, luminance power curve, and recombination rate are shown in Figure 2.
-1.00E+03
0.00E+00
1.00E+03
2.00E+03
3.00E+03
4.00E+03
5.00E+03
0.00E+00 5.00E+01 1.00E+02 1.50E+02 2.00E+02 2.50E+02
Anodecurrent(mA/mm2)
Electric Filed(V/m)
anode
current(a)
Analyzing the influences of work function Anode on the Performance of OLED
DOI: 10.9790/1676-1052131135 www.iosrjournals.org 133 | Page
Fig.2.Theperformance of OLED with a low-work function anode(ITO anode) (a) Current Density-Electric Field
curves; (b)Anode current–Anode voltage curves; (c)Luminance power–voltage curves; (d) Recombination Rate.
2.2. The second OLED with a high-work functionanode:
This OLED has been fabricated by three layers including of ZnO, MEH-PPV, and Ca/Al. ZnO as an
anode, MEH-PPV as an organic layer and an intermediate layer, and Ca/Al as the cathode. The thickness of the
anode and cathode and intermediate layer are 37.5nm, 40nm, and 40nm, respectively. The work function of the
anode and cathode that have been utilized in this work are 5.2eVand 2.9eV, respectively.
Current density curves, luminance power curve, and recombination rate are illustrated in Figure3.
1.00E-35
1.00E-33
1.00E-31
1.00E-29
1.00E-27
1.00E-25
1.00E-23
1.00E-21
1.00E-19
1.00E-17
1.00E-15
1.00E-13
1.00E-11
1.00E-09
1.00E-07
1.00E-05
1.00E-03
1.00E-01
0 5 10 15
LuminancePower(W/mm2)
Anode Voltage(V)
Luminance
power(C)
-1.00E+03
0.00E+00
1.00E+03
2.00E+03
3.00E+03
4.00E+03
5.00E+03
0.00E+00 5.00E+01 1.00E+02 1.50E+02 2.00E+02 2.50E+02
Anodecurrent(mA/mm2)
Electric Filed(V/m)
anode
current(a)
Analyzing the influences of work function Anode on the Performance of OLED
DOI: 10.9790/1676-1052131135 www.iosrjournals.org 134 | Page
Fig.3.the performance of OLED with a high-work function anode(ZnO anode) (a) Current Density-Electric Field
curves ;(b)Anode current–Anode voltage curves;(c)Luminance power–voltage curves ;(d) Recombination Rate.
III. Results And Discussion
There are two categories of photo physical units: radiometric (physical properties) and photometric (as
perceived by the eye). Radiometric units are, for example, the number of photons, photon energy, and radiant
flux (optical power). A photometric quantity is the luminous intensity which represents the light intensity of a
light source as perceived by the human eye. It is measured in candela (cd), a base unit in the SI system;
according to [11].
A monochromatic light source emitting an optical power of (1/683) W at 555 nm into the solid angle of 1sr has a
luminous intensity of 1cd. The “luminous flux,” light power as observed by the eye, is measured in lumen (lm),
and according to [11]. Monochromatic light source emitting an optical power of (1/683) W at 555 nm has a
luminous flux of 1lm. This means that 1cd equals 1 lm/sr.
The luminance of a surface source (e.g. an OLED) is the ratio of the luminous intensity in a certain
direction (under the angle 𝜃measured against the normal vector of the surface) divided by the projected surface
area in that direction (A. cos𝜃). Considering that Vbi is equal to work function difference.According to
Equation3, Vbi is associated with work function difference. Increasing work function difference affects
increasing luminance as a result of increased Vbi.
Φbi =Φ a −Φ c = eVbi (3)
Figure.4.Simplified energy level diagram for an OLED consisting of only one organic layer
We can see in Figures 2(a) and 3(a), under the electric field at 1 × 108
v/m OLED starts to emit light.
Also the increase electric field the increase current density and luminance power. In Figures 2(b) and 3(b) anode
1.00E-34
1.00E-32
1.00E-30
1.00E-28
1.00E-26
1.00E-24
1.00E-22
1.00E-20
1.00E-18
1.00E-16
1.00E-14
1.00E-12
1.00E-10
1.00E-08
1.00E-06
1.00E-04
1.00E-02
1.00E+00
1.00E+02
0 5 10 15
LuminancePower(W/mm2)
Anode Voltage(V)
Luminance
power(C)
Analyzing the influences of work function Anode on the Performance of OLED
DOI: 10.9790/1676-1052131135 www.iosrjournals.org 135 | Page
current is illustrated in terms of ITO anode and ZnO anode, respectively. In addition, we can see in Figures 2(b)
and 3(b), anode current in voltage 5V are 0.05mlA and 0.516mlA, respectively. Also anode current in voltage
10V are 8.27mlA and 31.66mlA, respectively. Anode current has been compared in two-anode voltage. This
comparison has been shown in Table 1.
Table1.Anode current in voltage 10V and 5V
Anode VAnode(V) IAnode(mlA)
ITO Anode 5 0.05
ITO Anode 5 0.516
ZnO Anode 10 8.27
ZnO Anode 10 31.66
In Figure 1(c), it is seen that the device “turns-on” at about 2 V. By comparing Figure 2(c) with 1(c), we see the
luminance power is different in voltage of 2 volts. This is due to the difference in anode work function is
obtained.We can see the recombination rate of the middle layers in Figures 2(d) and 1(d). In Figure 1(d), a
recombination rate is approximately 6.61 × 1022
cm-3
and in Figure 2(d) a recombination rate is approximately
1 × 1026
cm-3
.This is due to the difference in anode work function that is obtained.
The comparison of device performances between ITO anode OLED and ZnO anode OLED is shown in
Table 2.
Table2.The table shows anode current, luminance power and recombination rate in OLED with ITO
anode and ZnO anode at the voltage of anode = 10V.
Anode IAnode (mlA) Luminance Power(log(W/mm2
)) Recombination Rate(1/cm3
)
ITO Anode 8.27 1 × 10−1
6.61 × 1022
ZnO Anode 31.66 1 × 10+2
1.11 × 1026
IV. Conclusion
The purpose of this work is to study the influence of increasing the anode work function on luminance
power, recombination rate, and anode current. By investigating the simulations results mentioned above, it can
be understood that increasing work function anode affects increasing luminance power and anode current.
Furthermore, we have investigated the behavior of Zno anode (as a high-work function anode) and ITO anode
(as a low-work function anode). The results indicate that increasing the anode work function affects increasing
recombination rate in intermediate layer.
References
[1] L.G.D. Arco, Y. Zhang, C.W. Schlenker, K. Ryu, M.E. Thompson, C. Zhou, ACS Nano 4 (2010) 2865.
[2] X. Miao, S. Tongay, M.K. Petterson, K. Berke, A.G. Rinzler, B.R. Appleton, A.F. Hebard, Nano Lett. 12 (2012) 2745.
[3] S. Sutthana, N. Hongsith, S. Choopun, Curr. Appl. Phys. 10 (2010) 813.
[4] M. Chen, Z.L. Pei, X. Wang, Mater. Lett. 48 (2001) 137
[5] A. Kumar, C.W. Zhou, The race to replace tin-doped indium oxide: which material will win? ACS Nano 4 (2010) 11e14
[6] K.H. Hong, J.L. Lee, Recent developments in light extraction technologies of organic light emitting diodes, Electronic Materials
Letters 7 (2) (2011) 77e91.
[7] T.H. Han, Y. Lee, M.R. Choi, S.H. Woo, S.H. Bae, B.H. Hong, J.H. Ahn, T.W. Lee, Extremely efficient flexible organic light-
emitting diodes with modified grapheme anode, Nature Photonics 10 (2012) 1e6.
[8] Y. Zhou, C. Fuentes-Hernandez, J. Shim, J. Meyer, A.J. Giordano, H. Li,P. Winget, T. Papadopoulos, H. Cheun, J. Kim, M. Fenoll,
A. Dindar,W. Haske, E. Najafabadi, T.M. Khan, H. Sojoudi, S. Barlow, S. Graham,J.L. Brédas, S.R. Marder, A. Kahn, B. Kippelen,
A universal method to produce low-work function electrodes for organic electronics, Science 336(2012) 327e332.
[9] T. Sun, Z.L. Wang, Z.J. Shi, G.Z. Ran, W.J. Xu, Multilayered graphene used as anode of organic light emitting devices, Applied
Physics Letters 96 (2010)133301.
[10] J. Wu, M. Agrawal, H.A. Becerril, Z. Bao, Z. Liu, Y. Chen, P. Peumans, Organic light-emitting diodes on solution-processed
graphene transparent electrodes, ACS Nano 4 (2010) 43e48
[11] E. F. Schubert. Light-Emitting Diodes (Cambridge University Press, 2006),seconded [7].Tri. T. Ha, Solid-state microwave amplifier
design, Wiley, New York 1981
[12]. S.V. Rakhmanova, E.M. Conwell, Synth .Met .116 (2001) 389.
[13]. P.N. Murgatroyd, J. Phys. D: Appl. Phys. 3 (1970) 151.

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P01052131135

  • 1. IOSR Journal of Electrical and Electronics Engineering (IOSR-JEEE) e-ISSN: 2278-1676,p-ISSN: 2320-3331, Volume 10, Issue 5 Ver. II (Sep – Oct. 2015), PP 131-135 www.iosrjournals.org DOI: 10.9790/1676-1052131135 www.iosrjournals.org 131 | Page Analyzing the influences of work function Anode on the Performance of OLED Iman Farjamtalab1 , Alireza Kashaniniya1 , Reza Sabbaghi-Nadooshan1 1 (Department of Electrical Engineering/ Central Tehran Branch, Islamic Azad University, Tehran, Iran) Abstract: In this work, we investigate the effect of increasing the work function of the anode on luminancepower and recombination rate. For this purpose, we choose a high-work function anode, and a low- work function anode. Then, we investigate their influences on luminance power and recombination rate. Therefore, two organic light-emitting diodes are designed by utilizing the indium tin oxide (ITO) anode and zinc oxide (ZnO) anode, and then we compare their performance. We utilize Langevin model and Poole-Frenkel model to analyze the OLEDs. The results indicate that increasing work function anode affects increasing luminance power, anode current and recombination rate. Keywords: OLED; work function anode; ITO; ZnO; work function I. Introduction By studying the different reports, we understand that there are various factors that influence on performance such as band gap, conductance, and work function. Transparent indium tin oxide (ITO) is commonly used as the anode in the organic electronic devices such as organic light-emitting diodes (OLEDs) and organic photovoltaic devices (OPVs) according to its high conductivity and excellent transmission of light [1–2]. However, ITO is toxic, expensive, and inflexible [3–4]. In addition, the graphene is suitable for the future portable electronics because it has high transparency in visible wavelength and better flexibility than the existing transparent conductive electrodes (TCEs) such as ITO, aluminum zinc oxide (AZO), and indium zinc oxide (IZO) [5]. Nowadays, the graphene has been widely used in optoelectronic devices including organic photovoltaic and OLEDs [6]. In spite of its great potential as TCEs, there are several problems to achieve high performance for good transparent conductors. First, the sheet resistance of the commercialized graphene is not enough to fabricate a high-performance device and the value is about 300  [7]. Methods to overcome a high-sheet resistance caused by interval scattering in grain boundary are needed. Second, electrodes of organic electronic devices need qualified work function to achieve good carrier injection property [8]. However, the work function (4.5 eV) of graphene is not enough to apply for anodes of organic optoelectronics. Its work function is also too high to apply for a cathode [9–10]. In this work we have utilized three-layer device including of the MEH-PPV polymer film sandwiched between an ITO coated (or ZnO)and a metal. In addition, the polymer film is p-type doped with a uniform concentration of 1 × 1016 cm-3 .Increasing doping affects increasing the recombination rate of MEH-PPV. The work function of ITO is 4.7eV that hole-injection barrier of 0.2eV given the polymer highest occupied molecular orbital (HOMO) level of 4.9eV. The work function of cathode is 2.9eV (we have considered calcium as a cathode). II. Simulation In this work, we have simulated two OLEDs (with SILVACO Atlas) with different work function anode.We used Poole-Frenkel and Langevin model for simulation of PLED. In Poole–Frenkel model, dependence of μ on the electric field (E) must be considered [12]. The zero-field mobility (𝜇 𝐸=0) and the parameter E0 dictates how strongly μ is modified by the field: 𝜇 𝐸 = 𝜇 𝐸=0 exp 𝐸 𝐸0 1 2 (1) Where 𝜇 𝐸=0= 𝜇0 exp −∆ 𝐾 𝐵 𝑇 with μ0 a constant and Δ the activation energy. In this case, current density is approximately [13]: 𝐽 𝐹 ≈ 9.8 𝜀𝜀0 𝑉2 𝑑3 𝜇 𝐸=0 exp 𝑒3 𝜋𝜀𝜀0 𝑑 1 2 𝑉 1 2 𝐾𝐵 𝑇 (2)
  • 2. Analyzing the influences of work function Anode on the Performance of OLED DOI: 10.9790/1676-1052131135 www.iosrjournals.org 132 | Page 2.1. The first OLED with a low-work function anode: This OLED has been fabricated by three layers that include ITO, MEH-PPV, and Ca/Al. ITO as an anode, MEH-PPV as an organic layer and an intermediate layer, and Ca/Al as the cathode. The thickness of the anode, cathode, and intermediate layer are 37.5nm, 40nm, and 40nm,respectively.The work function of the anode and cathode that have been utilized in this work are 4.7eVand 2.9eV, respectively. The structure of the OLED is shown in Figure1. Figure.1.The structure of OLED. Current density curves, luminance power curve, and recombination rate are shown in Figure 2. -1.00E+03 0.00E+00 1.00E+03 2.00E+03 3.00E+03 4.00E+03 5.00E+03 0.00E+00 5.00E+01 1.00E+02 1.50E+02 2.00E+02 2.50E+02 Anodecurrent(mA/mm2) Electric Filed(V/m) anode current(a)
  • 3. Analyzing the influences of work function Anode on the Performance of OLED DOI: 10.9790/1676-1052131135 www.iosrjournals.org 133 | Page Fig.2.Theperformance of OLED with a low-work function anode(ITO anode) (a) Current Density-Electric Field curves; (b)Anode current–Anode voltage curves; (c)Luminance power–voltage curves; (d) Recombination Rate. 2.2. The second OLED with a high-work functionanode: This OLED has been fabricated by three layers including of ZnO, MEH-PPV, and Ca/Al. ZnO as an anode, MEH-PPV as an organic layer and an intermediate layer, and Ca/Al as the cathode. The thickness of the anode and cathode and intermediate layer are 37.5nm, 40nm, and 40nm, respectively. The work function of the anode and cathode that have been utilized in this work are 5.2eVand 2.9eV, respectively. Current density curves, luminance power curve, and recombination rate are illustrated in Figure3. 1.00E-35 1.00E-33 1.00E-31 1.00E-29 1.00E-27 1.00E-25 1.00E-23 1.00E-21 1.00E-19 1.00E-17 1.00E-15 1.00E-13 1.00E-11 1.00E-09 1.00E-07 1.00E-05 1.00E-03 1.00E-01 0 5 10 15 LuminancePower(W/mm2) Anode Voltage(V) Luminance power(C) -1.00E+03 0.00E+00 1.00E+03 2.00E+03 3.00E+03 4.00E+03 5.00E+03 0.00E+00 5.00E+01 1.00E+02 1.50E+02 2.00E+02 2.50E+02 Anodecurrent(mA/mm2) Electric Filed(V/m) anode current(a)
  • 4. Analyzing the influences of work function Anode on the Performance of OLED DOI: 10.9790/1676-1052131135 www.iosrjournals.org 134 | Page Fig.3.the performance of OLED with a high-work function anode(ZnO anode) (a) Current Density-Electric Field curves ;(b)Anode current–Anode voltage curves;(c)Luminance power–voltage curves ;(d) Recombination Rate. III. Results And Discussion There are two categories of photo physical units: radiometric (physical properties) and photometric (as perceived by the eye). Radiometric units are, for example, the number of photons, photon energy, and radiant flux (optical power). A photometric quantity is the luminous intensity which represents the light intensity of a light source as perceived by the human eye. It is measured in candela (cd), a base unit in the SI system; according to [11]. A monochromatic light source emitting an optical power of (1/683) W at 555 nm into the solid angle of 1sr has a luminous intensity of 1cd. The “luminous flux,” light power as observed by the eye, is measured in lumen (lm), and according to [11]. Monochromatic light source emitting an optical power of (1/683) W at 555 nm has a luminous flux of 1lm. This means that 1cd equals 1 lm/sr. The luminance of a surface source (e.g. an OLED) is the ratio of the luminous intensity in a certain direction (under the angle 𝜃measured against the normal vector of the surface) divided by the projected surface area in that direction (A. cos𝜃). Considering that Vbi is equal to work function difference.According to Equation3, Vbi is associated with work function difference. Increasing work function difference affects increasing luminance as a result of increased Vbi. Φbi =Φ a −Φ c = eVbi (3) Figure.4.Simplified energy level diagram for an OLED consisting of only one organic layer We can see in Figures 2(a) and 3(a), under the electric field at 1 × 108 v/m OLED starts to emit light. Also the increase electric field the increase current density and luminance power. In Figures 2(b) and 3(b) anode 1.00E-34 1.00E-32 1.00E-30 1.00E-28 1.00E-26 1.00E-24 1.00E-22 1.00E-20 1.00E-18 1.00E-16 1.00E-14 1.00E-12 1.00E-10 1.00E-08 1.00E-06 1.00E-04 1.00E-02 1.00E+00 1.00E+02 0 5 10 15 LuminancePower(W/mm2) Anode Voltage(V) Luminance power(C)
  • 5. Analyzing the influences of work function Anode on the Performance of OLED DOI: 10.9790/1676-1052131135 www.iosrjournals.org 135 | Page current is illustrated in terms of ITO anode and ZnO anode, respectively. In addition, we can see in Figures 2(b) and 3(b), anode current in voltage 5V are 0.05mlA and 0.516mlA, respectively. Also anode current in voltage 10V are 8.27mlA and 31.66mlA, respectively. Anode current has been compared in two-anode voltage. This comparison has been shown in Table 1. Table1.Anode current in voltage 10V and 5V Anode VAnode(V) IAnode(mlA) ITO Anode 5 0.05 ITO Anode 5 0.516 ZnO Anode 10 8.27 ZnO Anode 10 31.66 In Figure 1(c), it is seen that the device “turns-on” at about 2 V. By comparing Figure 2(c) with 1(c), we see the luminance power is different in voltage of 2 volts. This is due to the difference in anode work function is obtained.We can see the recombination rate of the middle layers in Figures 2(d) and 1(d). In Figure 1(d), a recombination rate is approximately 6.61 × 1022 cm-3 and in Figure 2(d) a recombination rate is approximately 1 × 1026 cm-3 .This is due to the difference in anode work function that is obtained. The comparison of device performances between ITO anode OLED and ZnO anode OLED is shown in Table 2. Table2.The table shows anode current, luminance power and recombination rate in OLED with ITO anode and ZnO anode at the voltage of anode = 10V. Anode IAnode (mlA) Luminance Power(log(W/mm2 )) Recombination Rate(1/cm3 ) ITO Anode 8.27 1 × 10−1 6.61 × 1022 ZnO Anode 31.66 1 × 10+2 1.11 × 1026 IV. Conclusion The purpose of this work is to study the influence of increasing the anode work function on luminance power, recombination rate, and anode current. By investigating the simulations results mentioned above, it can be understood that increasing work function anode affects increasing luminance power and anode current. Furthermore, we have investigated the behavior of Zno anode (as a high-work function anode) and ITO anode (as a low-work function anode). The results indicate that increasing the anode work function affects increasing recombination rate in intermediate layer. References [1] L.G.D. Arco, Y. Zhang, C.W. Schlenker, K. Ryu, M.E. Thompson, C. Zhou, ACS Nano 4 (2010) 2865. [2] X. Miao, S. Tongay, M.K. Petterson, K. Berke, A.G. Rinzler, B.R. Appleton, A.F. Hebard, Nano Lett. 12 (2012) 2745. [3] S. Sutthana, N. Hongsith, S. Choopun, Curr. Appl. Phys. 10 (2010) 813. [4] M. Chen, Z.L. Pei, X. Wang, Mater. Lett. 48 (2001) 137 [5] A. Kumar, C.W. Zhou, The race to replace tin-doped indium oxide: which material will win? ACS Nano 4 (2010) 11e14 [6] K.H. Hong, J.L. Lee, Recent developments in light extraction technologies of organic light emitting diodes, Electronic Materials Letters 7 (2) (2011) 77e91. [7] T.H. Han, Y. Lee, M.R. Choi, S.H. Woo, S.H. Bae, B.H. Hong, J.H. Ahn, T.W. Lee, Extremely efficient flexible organic light- emitting diodes with modified grapheme anode, Nature Photonics 10 (2012) 1e6. [8] Y. Zhou, C. Fuentes-Hernandez, J. Shim, J. Meyer, A.J. Giordano, H. Li,P. Winget, T. Papadopoulos, H. Cheun, J. Kim, M. Fenoll, A. Dindar,W. Haske, E. Najafabadi, T.M. Khan, H. Sojoudi, S. Barlow, S. Graham,J.L. Brédas, S.R. Marder, A. Kahn, B. Kippelen, A universal method to produce low-work function electrodes for organic electronics, Science 336(2012) 327e332. [9] T. Sun, Z.L. Wang, Z.J. Shi, G.Z. Ran, W.J. Xu, Multilayered graphene used as anode of organic light emitting devices, Applied Physics Letters 96 (2010)133301. [10] J. Wu, M. Agrawal, H.A. Becerril, Z. Bao, Z. Liu, Y. Chen, P. Peumans, Organic light-emitting diodes on solution-processed graphene transparent electrodes, ACS Nano 4 (2010) 43e48 [11] E. F. Schubert. Light-Emitting Diodes (Cambridge University Press, 2006),seconded [7].Tri. T. Ha, Solid-state microwave amplifier design, Wiley, New York 1981 [12]. S.V. Rakhmanova, E.M. Conwell, Synth .Met .116 (2001) 389. [13]. P.N. Murgatroyd, J. Phys. D: Appl. Phys. 3 (1970) 151.