Theoretical Background and Motivation
The basic principle behind organic light-emitting diodes (OLEDs) is the radiative decay of molecular excited states following the injection and the recombination of charge carriers inside an emitting layer. To achieve this, those devices usually consist of a thin film of organic emissive material (based on conjugated polymers or small molecules) introduced between two electrodes, with at least one being semitransparent. The whole device is typically deposited onto a glass substrate as shown in Fig. 1(a). Additional hole and electron transport layers (HTL and ETL, respectively) may be incorporated within the stack to efficiently transport the injected charge carriers to the emitting layer and avoid charge accumulations, while hole and electron blocking layers can be used to prevent non-radiative recombination at the counter electrode (in the stack depicted, BPhen is used for both purposes but will be referred to as the ETL layer for the sake of simplicity).
One important quantity to assess the performance of OLEDs is the external quantum efficiency (). It is defined as the ratio of the total number of photons emitted out of the device to the number of electrons injected into the emitter, and can be expressed as follows:1 in which case nonradiative processes can be neglected, usually stands well below 100% and, therefore, strongly limits the performances of OLEDs.
This can be attributed to the different optical loss channels in the device responsible for the reduced fraction of generated light emitted into air, which can typically reach values of only 20% without suitable photon management approaches. In order to address this point, different concepts have to be invoked for the two main regions in the OLED. The first one is the substrate. In this homogeneous and optically thick medium (the substrate thickness is in the mm range), the light can be considered as incoherent and the optical effects described on the basis of geometrical or ray optics due to the dimensions involved. The corresponding loss channel results from the refractive index mismatch between the substrate ( for glass) and the external medium (air, ) leading to a limited light escape cone. The light impinging on the substrate/air planar interface with an angle larger than the critical angle is subject to total internal reflection (TIR). It is then guided in the so-called substrate modes, damped due to the limited reflectivity of the underlying stack, and can escape through the edges of the device. The second region is formed by the other layers whose thicknesses are comparable or below the wavelength of the emitted photons. As such, wave optics is needed to describe the different coupling schemes taking place in those thin layers. One major optical loss channel is related to waveguide modes propagating within the organic layers and transparent electrodes whose total thickness is of few hundreds of nanometers only. This occurs because the refractive index of those layers (typically ranging from 1.7 to 2.12) is significantly higher than those of the substrate and of the cathode for a large spectral range. Consequently, the OLED stack forms a slab waveguide. The confined light can be parasitically absorbed in the different thin layers or can leak through the edges of the OLED. In addition, emitters located at the vicinity of the metallic cathode (few tens of nanometers from it) can either dissipate their power through ohmic losses by dipolar near-field coupling or via the coupling to surface plasmon polaritons (SPPs).3 The above-mentioned optical channels are shown in Fig. 1(a) and illustrated in the dispersion diagram of Fig. 1(b).
The rigorous computation of the fraction of light confined in the OLED stack under the form of substrate, waveguide, or SPP modes is not straightforward since microcavity effects have to be taken into account. This impacts not only the power injected into the different loss channels but also the spontaneous exciton decay rate which directly depends on its optical environment via the Purcell effect.3,5,6 In addition, a proper analysis of the device requires the determination of the emitters’ orientation together with their distribution profile within the active layer.78.9.–10
As an illustration of the previous discussion, we simulated the yellow planar OLED reported in Fig. 1(a) [using the poly(para-phenylene vinylene) (PPV)-based polymer PDY-132 (“Super Yellow”), from Merck KGaA] at the peak emission wavelength (550 nm) and checked the results with the software “Setfos” from “Fluxim AG.”11 An internal quantum efficiency of 100% was assumed, and the emitting layer was considered as nonabsorbing. In this example, the dipoles were located at the center of the thin emitting layer. In the case of a parallel dipole moment orientation [i.e., in the () plane], which is relevant for thin films made of conjugated polymers,7,12 Fig. 2(a) shows that only around 34% of the generated light is emitted into air. Indeed, a significant part of the dissipated power is lost due to the coupling to substrate modes (28%), and to a lesser extent to waveguide and evanescent coupled (SPP) modes. The analysis of Fig. 2(b) enables the identification of one waveguide mode and a SPP mode for a normalized in-plane wave vector above 1. In order to test the influence of the dipole moment orientation, an additional power dissipation spectrum was added to Fig. 2(b). It corresponds to a perpendicular orientation of the radiative dipole. A noticeable difference is the sharp increase of the dissipated power related to the coupling with the SPP mode which prevents the light from escaping the OLED stack. Indeed, unlike horizontal dipoles, vertical ones can strongly couple to SPP modes, favoring this loss channel which is then predominant.9 It should be noted that in the present example, the dipoles-to-cathode distance is 70 nm, which makes the coupling to evanescent modes particularly detrimental.
From Fig. 2, it can be inferred that specific photonic strategies have to be implemented to overcome the optical losses encountered in OLEDs. Moreover, a good knowledge of the system considered is necessary to identify the main loss channels and design adapted outcoupling solutions. A straightforward way to address those issues consists in optimizing the thickness of the different layers involved. For example, the losses induced by the coupling to SPP modes can be minimized by increasing the spacing between the emitters and the cathode, for instance by using a thicker ETL which acts as an optical spacer. In fact, Fig. 3 shows that increasing the ETL thickness leads to an enhanced outcoupling efficiency—but at the same time, the excitation of substrate guided modes increases, too. This underlines the need for simultaneously tackling the losses occurring within the thin films stack (to ameliorate the so-called “internal outcoupling”), and in the substrate (improvement of the “external outcoupling”).
Beyond those simple design rules, which have the advantage of leaving the global design of the OLED unchanged, more advanced concepts can be exploited by using periodically arranged or disordered micro- and nanostructures at the different levels of the devices. This ongoing topic has already created a rich pool of numerical and experimental studies covered in several reviews.13184.108.40.206.18.–19
In the present paper, we introduce more specifically the main advances obtained within our research group over the last years, by first focusing on the extraction of substrate modes, and then on the outcoupling of internal modes. This latter aspect will be discussed by separating the cases of micro- or nano-based structures, and of periodic or stochastic configurations. The objective is to highlight relevant and upscalable strategies which can increase the fraction of outcoupled light while maintaining satisfying light output pattern and electrical characteristics of the bottom-emitting OLEDs considered. Focus will be given to solution-processed devices. Although their performance usually stands below that of their vacuum-deposited counterparts, which necessitates approaches to fabricate solution-processed multilayers,20 they nonetheless open the way for cheap and large-area compatible fabrication processes that can utilize the printing industry facilities.21
Improvement of the External Outcoupling Through the Introduction of Microlens Arrays
As discussed in Sec. 1, substrate modes retain a significant part of the generated light, with around 28% of the dissipated power in the example of Fig. 2(a) (parallel dipoles). Among the methods employed to cope with this issue, one can mention, e.g., a simple and cost-effective solution based on the roughening of the substrate surface by sandblasting, or the deposition of a scattering layer on top of the substrate, for instance using nanoparticles/polymer host systems or flexible layers made of porous polymers.14,22 The main drawback of those techniques is that a fraction of the light impinging on the modified surface is redirected toward the thin film stack and experiences losses through the channels already described. In the framework of the studies which advocate the use of cheap and easily up-scalable cellulose-based scattering layers, this issue was recently circumvented by controlling the amount of volume scattering. This is realized by a proper infiltration of the microcavities, e.g., with nanocellulose fibers,23 or with a plastic layer which additionally improves the layers’ durability.24 An alternative approach for extracting substrate modes consists of introducing a microlens array (abbreviated “MLA” in the following), usually based on hemispheres, which enables to outcouple most of the light after the first interaction and to ensure a Lambertian emission, as is usually desired for applications. This method inspired by the work of Madigan et al.,25 and further developed by different research groups in the early 2000s,2627.–28 is nevertheless hindered by the complexity of its implementation. For this reason, a versatile, reproducible, and upscalable fabrication process was proposed by Bocksrocker et al.2 and is presented below.
As shown in Fig. 4, the fabrication sequence can be summarized by two main steps, that is, the creation of a Polydimethylsiloxane (PDMS) stamp incorporating the desired features of the MLA (diameter, aspect ratio, and periodicity), and the transfer of this pattern into a polymethylmethacrylate (PMMA) layer deposited on the substrate. It should be noted that due to the chemical and mechanical stability of the PDMS stamp, the latter can be cleaned and reused afterwards.
Microlenses with diameters of 10, 20, and (almost equal to the periodicity of the array) and with an aspect ratio of 1 (hemispheres) were fabricated according to this process. The resulting MLAs have a typical transmission above 80% between 400 and 800 nm. Furthermore, their haze factor in transmission, defined as the ratio of the nonspecularly transmitted light to the overall transmitted light, reaches more than 70% regardless of the diameter considered. Thus, MLAs can help diffusing angular and, to a certain extent, spatial inhomogeneities of the emission. However, in case of a large variation in the local brightness, as the one introduced by shadowing metal grids used for charge carrier transport, more advanced concepts are required to obtain a spatially homogeneous emission.30 In order to test their potential for external outcoupling, those MLAs were integrated in white OLEDs (WOLEDs) by using a single layer of the white-emitting co-polymer SPW087 by Merck KGaA, and the measured efficiencies (defined in terms of luminous flux normalized to the electrical power consumption) were compared with the ones obtained without the MLA on the same devices.29 The results shown in Fig. 5 demonstrate that an efficiency enhancement of around 50% is achieved compared to a reference device which exhibits a luminous efficacy of . In addition, the diameter of the microlenses has only a weak influence on the enhancement factor, an observation which is corroborated by other studies.26 It can be added here that most of the light outcoupling was found to occur after the first interaction with the MLA. Lastly, the MLA did not affect the spectral and angular emission characteristics of the WOLEDs investigated. To summarize, the fabrication process presented above enables production of high-quality MLAs on large areas to efficiently extract substrate modes. It can be directly adapted and extended to flexible substrates such as the ones based on polyethylene terephthalate.31 In addition to the periodical array of identical microlenses, disordered configurations (in both the position and size distribution of the lenses) have been recently proposed. For example, such ensembles were obtained spontaneously using a phase separation technique,32 or almost autonomously via the so-called “microbial approach.”33 Their integrated enhancement could not overcome that obtained with regular MLA, but adding disorder enabled improving the uniformity of the luminance angular distribution while suppressing spectral distortion. Lastly, in their recent work, Kim et al.34 combined all the previously mentioned attributes (patterning on a flexible polyethylene naphthalate substrate, cost-effective fabrication process based on the self-assembly of microparticles, patterning of irregular MLA) and enhanced the MLA properties by incorporating nanoparticles. Due to the improved light extraction thanks to the nanoparticles scattering, the maximum power efficiency increased from (irregular MLA) to (irregular MLA including nanoparticles). In addition, the authors demonstrated that the nanoparticles block the penetration of oxygen and water vapor molecules into the organic layers, so that this approach also helps in improving the stability of the devices.
Improvement of the Internal Outcoupling
Unlike the MLA approach discussed in Sec. 2, micro- and nanostructures aimed at increasing the internal outcoupling are much more challenging to design since they are directly implemented within the thin film stack and as such can potentially degrade the electrical characteristics of the device. In the following, we report on different configurations which address those two aspects, namely improved internal outcoupling properties and an almost unaffected (or even ameliorated) electrical behavior. As will be discussed, they can be introduced in association with MLA to further enhance the light extraction of the OLED.
Optimization of the Organic Light-Emitting Diodes Planar Stack
As was exemplified in Fig. 3, the outcoupling efficiency strongly depends on the OLED layers’ thicknesses in a planar architecture. The optical optimization of such a stack can be carried out by simulations, yet the proper modeling of the device requires a good knowledge of the optical indices employed (including their anisotropy7), as well as of the emitters’ orientation and distribution profile. Alternatively, an empirical optimization can be undertaken by producing several samples with diverse thicknesses. However, this method is demanding in terms of time and materials consumption. Moreover, the batch-to-batch variability may complicate the analysis of the results, which calls for a simplified single-step approach. This can be easily realized using the horizontal dipping (“H-dipping”) technique, regardless of the emitter type considered.35 For the sake of demonstration, H-dipping was exploited to steadily increase the emissive layer thickness from 10 to 120 nm over a multiactive areas device.36 This thickness gradient was directly obtained by continuously increasing the velocity of the coating bar during deposition. Using this one-pass process, a wedge-shaped device was fabricated, and the opto-electrical characteristics of the OLEDs were analyzed as a function of the active layer thickness. This methodology can be generalized to any layer, e.g., to the hole injection one (see Fig. 6). By varying its corresponding thickness, the cavity effect can be optimized in a similar way. However, the device efficiency gain may be limited by an increased amount of parasitic absorption, eventually combined with a degradation of the charge transport. To go further, the H-dipping approach can be modified for the incorporation of advanced materials that feature low absorption and improved electrical properties and that can still be easily wet-processed. Such a material was recently fabricated by making a composite layer consisting of poly(3,4-ethylenedioxythiophene)-poly(styrenesulfonate) (PEDOT:PSS) and silica nanoparticles, as shown in Fig. 6(c).37 Owing to the small nanoparticles’ diameter (only around 7 nm), the modified hole injection layer possessed a haze factor below 1%, and the optical properties of the weak microcavity could be adjusted without introducing any scattering effects or parasitic absorption. The composite layer thickness was then varied between 50 and 400 nm. A luminous efficacy increase of up to 85% was measured for a layer thickness of 100 nm with respect to a 20-nm thick PEDOT:PSS-based reference device. This enhancement was related to a more favorable cavity configuration (improved coupling to the radiation modes), and on the electrical side, to a better hole vertical transport and injection following the inclusion of the nanoparticles network.
The latter aspect was also highlighted in a similar OLED stack but featuring (20 to 30 nm in diameter) and (20 to 130 nm in diameter) nanoparticles clustered between the emitting layer and the cathode.38 In this configuration, an electroluminescence efficiency increase of up to 300% was measured by using a nanoparticle-free device as a reference. This was not attributed to an optical (scattering) effect. Instead, the enhancement was found to originate from an improved due to the nanoparticles covering the cathode surface. Indeed, this partial coverage was believed to enhance the fields locally, leading to a better electron injection and, therefore, to an ameliorated charge balance. Thus, nanoparticles-based composite layers can be used as multifunctional elements that simultaneously act as an optical spacer for optimizing cavity effects and improve the interfacial properties of planar OLEDs.
Micrometer Scale Corrugations for Waveguide Modes Outcoupling
As discussed in Sec. 1, the anode and organic layers sandwiched between the substrate and the metallic cathode form a slab waveguide. Therefore, a significant part of the dissipated power is injected into the waveguide modes.
In order to limit this effect, a micron-scale optical perturbation of the anode can be exploited. Thus, micropatterned indium-tin oxide (ITO) anodes were realized by combining a photolithography and a wet etching step,39 or alternatively, by sputtering an ITO layer through the gaps created by a self-assembly of microspheres,40 prior to the deposition of PEDOT:PSS and of the remaining stack. To increase the refractive index contrast at the anode level, a low refractive index material can be inserted within the micromesh, as proposed in Ref. 41. In the WOLED investigated, a two-dimensional (2-D) square array of micro-columns was introduced within the ITO anode. The material chosen to form those micro-columns was . In addition to its chemical stability, this material benefits from a low refractive index (around 1.38) compared with the ITO matrix (refractive index ranging from 1.8 to 2.1). As a result, it induces a modification of the modal distribution within the device. The fabrication route of this perturbed anode is shown in Fig. 7. The parameters (periodicity and columns diameter) were first defined in a resist layer by optical lithography, the 2-D array of micro-holes was then transferred into the ITO anode by wet etching, and this patterned matrix was filled by via a lift-off step. The duration of the vacuum deposition enabled to control the columns' height.
The micro-columns’ height and interdistance were optimized empirically by measuring the efficiency enhancement in comparison to a similar but unperturbed WOLED as a reference. The materials and architecture of the devices were similar to the ones described in Sec. 2. Nine configurations with different spacing values (5, 10, and ) and column heights (33, 66, and 100 nm) but with a fixed diameter of were studied. The results revealed a maximum efficiency enhancement of 38% obtained for a column distance and height of and 66 nm, respectively. Increasing the spacing between the microcolumns reduced the perturbation introduced, therefore reducing its impact on the internal outcoupling. On the other hand, very small spacing values (well below ) should result in a strong decrease of the active area since is an insulator. The existence of an absolute optimum value can then be expected. Similarly, the optimum height should result from a trade-off between a sufficient optical perturbation and good electrical characteristics of the WOLED. It was shown by simulation that in the absence of the microcolumns, a waveguide mode was mainly propagating within the ITO layer. On the contrary, in the perturbed configuration, no waveguide mode existed at the position of the low refractive index columns, and light was preferentially coupled to substrate or radiation modes. Interestingly, adding an MLA to the -WOLED led to an efficiency increase of 50%, which is a similar enhancement factor as for the unperturbed WOLED with the MLA (see Fig. 5). Thus, it could be concluded that the microcolumns distributed equally the dissipated power of the waveguide modes into the substrate and radiation modes. By using this microphotonics approach, a luminous efficacy enhancement of 38% was obtained without modifying the emission and electrical characteristics of the device.
Unlike the previous example, microspherically textured OLEDs can enhance waveguide modes extraction while increasing the active area of the devices.42 In this approach, an ITO-free OLED stack with PEDOT:PSS electrode was deposited on top of silica microspheres with a diameter of partially embedded into a 1.55 refractive index photoresist layer. This led to the curved waveguide configuration shown in Fig. 8(a).
In addition to the simplicity of the fabrication process, this method enabled to achieve a luminous efficacy enhancement of up to 3.7 [at 5 V, see Fig. 8(b)] compared with a planar equivalent WOLED, with otherwise unchanged emissive or electrical characteristics. In essence, three factors were evoked for explaining that improvement: increase of the active area by comparison with a planar layout, a better extraction of the waveguide modes allowed by the waviness of the thin film stack, and eventually a more efficient outcoupling of the substrate modes. Indeed, the curved cathode can change the propagation angle of the reflected light, and thereby reduces TIR effects at the glass/air interface.
In Sec. 3.3, we will see that even higher enhancements can be achieved using adapted nanostructures in the vicinity of the active layer, although this may come along with a modification of the emission pattern which needs to be corrected.
One-Dimensional High-Refractive Index Nanogratings for Efficient Waveguide Mode Extraction
The advantage of nanostructures, such as one-dimensional (1-D) Bragg nanogratings, with respect to their micrometer-based counterpart is that stronger optical perturbations can be applied to waveguide modes. Periodic wavelength scale patterns were successfully tested in OLEDs in the early 2000s.4344.45.–46 Still today, research efforts are ongoing to maximize the refractive index contrast using innovative solutions, e.g., by inserting high- nanoparticles in a resist matrix that can be easily nanoimprinted,47 and by fabricating periodically arranged air gaps giving rise to a refractive index difference as high as 0.9.48 Regardless of the materials involved, two intrinsic limitations of this approach are the angular dependence of the resulting emission spectrum and the wavelength selectivity. Consequently, Bragg nanogratings appear to be more adapted to monochromatic devices than to WOLEDs. In the following examples, we will show that those nanostructures can interact not only with the waveguide modes but also with the substrate modes, and more generally with all the optical channels of the OLED, and demonstrate that they can be efficient and compatible with WOLEDs if combined with a proper external outcoupling method.
The first case discussed in this section is based on an ITO-free OLED incorporating a 1-D Bragg nanograting based on .49 A cross-section view and the fabrication process of this device are shown in Fig. 9.
was selected because it is a highly transparent material, and possesses a high-refractive index ( at 550 nm), which contrasts with that of the PEDOT:PSS anode (). The period was adjusted for the peak emission wavelength (550 nm) by using Bragg scattering such that the waveguide modes scatter with an angle lower than that of the escape cone.2 To test the influence of the grating depth, the latter was varied between 48 and 77 nm. The angle resolved electroluminescence measurements of the yellow OLEDs underlined an emission increasing with the grating depth (see Fig. 10). In particular, it could be shown that for the 77-nm deep grating, the emission was enhanced by up to 300% compared with an unpatterned OLED.49 A remarkable feature of Fig. 10 is the presence of emission peaks at for the three deepest gratings which result from the efficient outcoupling of the first-order transverse electric () mode. Because the waveguide modes of different orders have less spatial overlap with the grating or a negligible filling factor in the active layer, they did not give rise to intense emission peaks. However, the extraction of the mode observed at discrete angles was not sufficient to explain the overall emission increase observed. This was attributed to the outcoupling of substrate modes which account for a large part of the confined light in this particular layout. Indeed, the nanograting was also able to redirect the light trapped in the substrate modes.
Thus, it was possible to evidence experimentally the outcoupling of specific waveguide modes and highlight the capability of the grating to tackle simultaneously the internal and external outcoupling. Furthermore, the emitted light intensity was steadily enhanced by increasing the grating depth.
In the second example, we will see that this last property cannot be generalized, and that one needs to consider the complex interplay between the different optical channels in the design of efficient nanogratings. The structure considered for that purpose is based on a 1-D Bragg grating made of ( around 2.5 to 3.2 over the visible range) formed on top of the ITO anode of a WOLED using the materials and architecture as described in Sec. 2.2 Its fabrication process, using a holographic lithography step, is shown in Fig. 11. As shown in this figure, a MLA was also added on the glass substrate for the two configurations investigated (grating height of 15 or 35 nm).
The efficiency enhancement factors measured after the introduction of the nano- and microstructures are shown in Fig. 12. The highest efficiency improvement was obtained for the 15-nm grating, due to an efficient outcoupling of the waveguide modes (mainly TE polarized), in combination with the MLA for the substrate modes extraction. Two additional conclusions arise from this figure. First, it can be observed that increasing the grating depth to 35 nm degrades the enhancement factor. Indeed, as was demonstrated experimentally by Hauss et al.,4 the introduction of a Bragg grating impacts both the outcoupling from waveguide modes into radiation modes and the incoupling from radiation modes into waveguide modes. In Fig. 12, both configurations have a stronger outcoupling and thus lead to improved efficiencies. However, the 35-nm grating WOLED suffers from a higher incoupling into waveguide modes than for the 15-nm grating case. This effect limits the resulting enhancement factor. In other words, when incoupling mechanisms dominate over outcoupling ones, the introduction of a Bragg grating degrades the efficiency with respect to the unpatterned reference device.4 The second comment is related to the different gains obtained after the introduction of the MLA. Those values tend to indicate that the in- and outcoupling of substrate modes into radiation and waveguide modes is also influenced by the geometry of the grating, and that the different optical channels are interdependent. Hence, the grating design is not trivial and should be carried out with optical simulations for optimized utilization conditions. Lastly, it should be pointed out that in all cases, the addition of the MLA enabled to suppress the grating features on the angular emission spectra, giving rise to a uniform white emission.
To conclude this section, the nanogratings introduced within the OLED stack can be exploited to simultaneously outcouple the waveguide and the substrate modes due to the interplay between the different optical channels. Even though Bragg gratings introduce angular dependencies on the emission spectra, this drawback can be overcome by using light diffusers such as a MLA.
Internal Scattering Layers Based on Nanoparticles
With a view to implementing outcoupling structures into an OLED manufacturing process, producing wet-processable and large area layers that do not require any lithography or vacuum-operated step is a major advantage [see the previous example in Fig. 8(a), or the scattering pixels in Fig. 13(a)]. In this context, scattering layers based on nanoparticles are industrially relevant candidates that can improve the outcoupling of substrate modes when deposited onto the substrate,50 as well as internal modes (including waveguide and SPP modes provided that their spatial mode overlap with the scattering film is high enough51) if they are inserted within the OLED thin film stack.5253.54.–55 In general, the nanoparticles’ concentration should be tuned to avoid backward scattering. However, in the case of translucent/bidirectional OLEDs, this effect can be exploited on purpose to simultaneously improve light extraction in both the forward and backward directions, as demonstrated by Chang et al.56 In Sec. 3.1, the concept of a hole injection layer (PEDOT:PSS) loaded with silica nanoparticles was introduced to modify the weak microcavity. Indeed, the densely packed nanoparticles embedded in the polymer layer formed an optically homogeneous layer (in the visible regime), whose thickness could be easily adjusted. The morphology of this low-absorbing composite layer can also be modified to introduce volume scattering by increasing the nanoparticles’ diameters (e.g., to 20 or 30 nm, ). By doing so, and after tuning the silica volume fraction, the device shown in Fig. 13(b) could be obtained.57 With respect to an equivalent OLED without nanoparticle, its luminous efficiency increased by 66%, resulting from a better (see end of Sec. 3.1 for explanations), and from an improved outcoupling [Fig. 13(d)]. Due to the low refractive index contrast between the nanoparticles and the polymer matrix, the scattering effect involved most presumably arose from bulk defects, namely air voids distributed throughout the composite layer. Air voids act as scattering centers, and as numerically shown in Ref. 58, their concentration should be optimized to ensure a good trade-off between the scattering properties and the resulting effective refractive index. A similar morphology was reported for silica nanoparticles based layers inserted between the hole injection and emissive layers. In that case, the corresponding devices exhibited a stronger scattering responsible for a noticeable change in the angular emission profile. To reinforce this scattering effect, nanoparticles (with a solid volume ratio below 2%, diameters ranging between 20 and 130 nm and a refractive index around 2.5 to 2.7) can be added inside the composite layer without significantly increasing its absorption coefficient [Fig. 13(c)].59,60 For the best configuration investigated, the sole addition of nanoparticles led to a relative increase of 20% in both the electroluminescence and photoluminescence [Fig. 13(e)] measurements. This observation indicates that the luminous efficacy enhancement obtained in such a device mostly originates from optical effects, that is from a more efficient outcoupling of the modes by volume scattering.
Optical Simulations of Internal Scattering Layers Based on Nanoparticles
Numerical simulations of the light propagation in the device are an important tool in quest of an optimal outcoupling structure for a given OLED geometry. For that purpose, the emitting molecule can be modeled by means of a classical point dipole source.3 However, the numerical schemes to simulate OLEDs with internal outcoupling are as manifold as the structures that have been suggested. The finite element method and the finite difference time domain (FDTD) method are frequently used due to their great flexibility.6162.63.64.–65 However, the numerical effort grows fast with the considered volume and can rapidly exceed the capabilities of state of the art computers. Further modeling approaches include (but are not restricted to): mode-matching techniques,66 coupled-mode approaches,67,68 layered-medium Green’s tensor methods69,70 or ray optics.71 Each approach has inherent advantages and disadvantages in terms of required computational time and hardware resources as well as of the accuracy of the resulting efficiency estimations.
As pointed out in Sec. 3.4, scattering layers based on nanoparticles are a particularly relevant class of internal outcoupling structures. Recent efforts in our group have therefore been dedicated to the development of a simulation tool that allows estimating the outcoupling efficiency of devices integrating such layers, out of wave optics calculations.72 In contrast to previous numerical studies, coherent multiple scattering and near field effects (such as evanescent coupling to waveguide modes) are taken into account rigorously.
The underlying formalism makes use of the T-matrix formulation73,74 of the scattering at the individual particles. The particle ensemble is modeled as a coupled system of individual scatterers. The incident field at each particle contains the scattered fields from all other particles (in addition to the primary dipole excitation). Both the direct interaction as well as the reflections from the layer interfaces need to be accounted for (see Fig. 14). Therefore, the electromagnetic fields are transformed from the spherical wave representation to a superposition of plane waves.75,76 Their propagation can then be treated analytically by means of the transfer matrix or the scattering matrix algorithm.72 With an efficient scheme for the numerical evaluation of the so-called Sommerfeld integrals that occur in the analysis, the interaction of a large number of particles can be accurately simulated.77 However, the number of particles still needs to be truncated to limit the necessary simulation time. As a consequence, the outcoupling efficiency is systematically underestimated in the simulations. An elegant way to estimate and correct for this error was proposed in Ref. 78. By repeating the simulation for an increasing width of the scattering structure, the outcoupling efficiency as a function of the lateral dimension of the scattering layer can be fitted by a phenomenological expression that then allows for an extrapolation to infinite scattering samples.
As an application example, we show in Fig. 15 simulation results for a realistic layer stack including a nanoparticles-based scattering layer. The layer system parameters were chosen to reproduce the OLED stack named “device H” in the study of Chang et al.79 In addition, an ideal layer stack of lossless materials was considered to demonstrate the validity of the approach by checking the conservation of energy. All calculations were run at a vacuum wavelength of 520 nm. Figure 15 shows the simulated substrate coupling efficiency, i.e., the power radiated into the substrate layer divided by the total dissipated power, as a function of the number of scattering particles at a fixed particle volume concentration of 3.25 %. Without absorption, all waveguided power is expected to eventually be outcoupled if the lateral extent of the scattering layer tends to infinity. In fact, an asymptotic efficiency around 100% was extrapolated for the ideal device, indicating the validity of the simulations and of the extrapolation scheme. For the realistic device parameters, the outcoupling from the thin film waveguide modes competes with the mode decay due to absorption, resulting in an efficiency well below 100%. In the given example, the substrate coupling efficiency converges to () in the case of a parallel (perpendicular) dipole moment orientation relative to the layer interfaces. This is a significant enhancement compared with the theoretical substrate coupling efficiency of 68% (3%) for the case without scattering particles.
We conclude that a prediction of the outcoupling efficiency for OLEDs with internal scattering particle layers based on rigorous wave optics calculations is feasible, paving the way for computer assisted device optimization of OLEDs with an internal scattering particle layer. In fact, the scattering layer and the OLED stack cannot be regarded independently. An OLED layer system that has been optimized with regard to outcoupling efficiency without scattering layer is not necessarily optimal in combination with internal outcoupling structures. Although involving a non-negligible numerical effort, the method presented herein is much more time and cost effective than empirical and experimental surveys. In the future, it will allow for a simultaneous optimization of the scattering layer parameters and of the OLED stack.
Conclusion and Outlook
In this review, several photonic microstructures designed to extract the waveguide modes propagating within a solution-processed bottom-emitting WOLED stack have been introduced. Owing to the waviness of the thin film stack, microspherically textured devices were found to efficiently outcouple internal modes and could simultaneously improve substrate modes extraction while enhancing the active area on a given footprint. Alternatively, it was shown that Bragg gratings, if used in the right configuration, could be used in monochromatic devices to foster the coupling of internal modes to substrate and radiation modes. This approach could be successfully extended to WOLED by combining it with microlens arrays produced in an easy and versatile way. Indeed, the latter enabled to avoid the angular dependencies normally observed on the emission spectra, with a weak influence of the microlenses’ diameter on the extraction efficiency. To facilitate the implementation of outcoupling structures in a manufacturing process flow, wet-processable layers were also presented, and the case of nanoparticles-loaded hole injection layers was exemplified. Depending on the size and material of the nanoparticles, scattering effects could be avoided to solely optimize cavity effects, or conversely, intentionally strengthened to extract both internal and substrate modes by volume scattering. We demonstrated that the optimization of the scattering layer parameters can be performed numerically by exploiting an algorithm based on the T-matrix formalism for the scattering by individual particles, and on the scattering matrix algorithm for the propagation through a system made of planar interfaces. Interestingly, the composite layers reported here improved both the optical and electrical properties of the devices, notably by a modification of the charge injection and vertical transport. Lastly, it is worth noting that a prospective concept was recently investigated by numerical means to achieve single-pass light extraction from the OLED front layer (glass substrate for bottom-emitting OLEDs or cathode/anode in the case of top emitting/inverted top emitting devices) while preserving the original angular distribution profile.80 It was realized using transformation optics to design a graded refractive index structure between the exit facet and the free space and as such, could be used for waveguide or substrate modes extraction. This approach, primarily developed for pixelated and monochromatic devices, showed promising outcoupling properties for experimentally accessible refractive indices, and opens new perspectives for photon management in OLEDs.
G.G. acknowledges the support of the Helmholtz Postdoctoral Program. J.B.P. and A.E. gratefully acknowledge financial support from the Karlsruhe School of Optics & Photonics (KSOP). This work was partly carried out with the support of the Deutsche Forschungsgemeinschaft (DFG) through program DFG-SPP 1839 “Tailored Disorder.”
Guillaume Gomard obtained his PhD in 2012 at the Lyon Institute of Nanotechnology (France) after investigating the potential of photonic crystals (PhCs) for improving the absorption in thin-film solar cells. Since 2013, he has been the group leader for the “Nanophotonics” activities at the Light Technology Institute (KIT, Germany). His current research encompasses the analysis of disordered PhCs, scattering stochastic ensembles, or hierarchical bioinspired photonic structures and their implementation within optoelectronic devices for enhanced efficiencies.
Jan B. Preinfalk received his Master of Science degree in electrical engineering at the Karlsruhe Institute of Technology (KIT), Germany, in 2013. Since 2014, he has been pursuing his PhD at the Light Technology Institute of the KIT on the topic of solution-processable technologies for light management in organic light-emitting diodes.
Amos Egel received his “Diplom-Physiker” degree from the Heidelberg University, Heidelberg, Germany in 2011. Currently, he is working toward his PhD in the department of electrical engineering at the Karlsruhe Institute of Technology (KIT), Karlsruhe, Germany. His research focuses on the optical modelling of nanostructures for light management in optoelectronic devices.
Uli Lemmer received his diploma degree from the RWTH Aachen University, Germany, in 1990 and his PhD from the University of Marburg, Germany, in 1995. From 1995 to 1996, he held a postdoctoral position with the University of California at Santa Barbara. He was with the University of Munich, Germany, from 1996 to 2002. In 2002, he was appointed as a full professor and director of the Light Technology Institute at KIT.