Principles

OLED Outcoupling Efficiency

The relationship among material quantum yield, device EQE, and the classical outcoupling limit

An organic emitter may have a quantum yield of 90% while the device EQE remains near 20%. The missing photons are distributed across three stages: charges form emissive excitons, excitons decay radiatively, and the generated light leaves the planar device.

Emission optics primarily addresses the third stage and can also feed back on the second. This article places material metrics, device efficiency, and optical simulation in one loss budget, then uses the classical escape cone to explain the roughly 20% outcoupling scale.

Material Quantum Yield Is Not Device EQE

Photoluminescence quantum yield (PLQY) measures the fraction of absorbed photons that produce emitted photons under optical excitation. OLED external quantum efficiency (EQE) measures how many photons leave the device per injected electron under electrical drive. Exciton formation, nonradiative processes inside the device, and optical trapping still separate these quantities.

Normalizing to one injection event, the device efficiency can be written as

ηEQE=Cqeffηout.\eta_{\mathrm{EQE}}=C\,q_{\mathrm{eff}}\,\eta_{\mathrm{out}}.

Here, ηEQE\eta_{\mathrm{EQE}} is the external quantum efficiency; CC is the conversion efficiency from charge pairs to the target emissive excitons, including charge balance and the usable-exciton fraction; qeffq_{\mathrm{eff}} is the effective quantum efficiency in the device optical environment; and ηout\eta_{\mathrm{out}} is the light-extraction or outcoupling efficiency (LEE), the fraction of photons entering electromagnetic emission channels that reaches the target external medium. All three factors are dimensionless and lie between 0 and 1.

Material PLQY is most closely related to the intrinsic emitter quantum efficiency q0q_0, but it cannot replace CC, qeffq_{\mathrm{eff}}, or ηout\eta_{\mathrm{out}}. Charge imbalance, exciton quenching, and optical feedback under electroluminescence can all move the device away from the material measurement. Even with C=0.95C=0.95, qeff=0.90q_{\mathrm{eff}}=0.90, and ηout=0.20\eta_{\mathrm{out}}=0.20,

ηEQE=0.95×0.90×0.20=17.1%.\eta_{\mathrm{EQE}}=0.95\times0.90\times0.20=17.1\%.

This gives the most direct order-of-magnitude explanation for a 90% material yield and a device EQE near 20%.

Classical Escape Cone and Outcoupling Limit

The emissive layer and organic functional layers usually have higher refractive indices than air. When light travels from a high-index to a low-index medium, only directions inside the critical angle can propagate directly across the interface. The critical angle is

θc=arcsin(noutnEML),\theta_c=\arcsin\left(\frac{n_{\mathrm{out}}}{n_{\mathrm{EML}}}\right),

where θc\theta_c is measured from the interface normal, nEMLn_{\mathrm{EML}} is the emissive-layer index, and noutn_{\mathrm{out}} is the external-medium index, with nEML>noutn_{\mathrm{EML}}>n_{\mathrm{out}}. Plane waves beyond θc\theta_c undergo total internal reflection, leaving a finite escape cone.

Bottom-emitting device stack and the classical light-extraction limit versus emissive-layer refractive index
Figure 1 | A high-index emissive layer allows only light inside the escape cone to leave directly; the classical outcoupling limit falls as the emissive-layer index rises.

For an isotropic planar emitter with approximately Lambertian emission into air, classical ray optics gives

ηout12nEML2.\eta_{\mathrm{out}}\approx\frac{1}{2n_{\mathrm{EML}}^2}.

At nEML1.7n_{\mathrm{EML}}\approx1.7, this is about 17%, often summarized as the classical OLED outcoupling scale of roughly 20%. The expression includes only the geometric escape cone and assumes ideal orientation, reflection, and zero absorption. Real OLEDs also exhibit dipole-orientation effects, thin-film interference, metal absorption, waveguiding, and surface-plasmon coupling. The formula is therefore a useful starting intuition, not a final device prediction.

Where the Unextracted Energy Goes

Energy outside the escape cone does not disappear immediately. It enters several channels in the layered structure.

Air, substrate, absorption, waveguide, and surface-plasmon channels in a bottom-emitting device
Figure 2 | Major optical channels in a planar emitter. Only part of the power escapes directly; the remainder enters substrate, absorption, waveguide, and SPP channels.
Energy channelOriginDevice consequence
External outcouplingWavevector lies inside an external-medium light coneProduces useful light and contributes to EQE
Substrate modeLight enters a high-index substrate but is totally internally reflected at the substrate–air boundaryRemains trapped in the substrate
Waveguide modeTotal internal reflection and interference in organic layers or transparent electrodesPropagates laterally and is eventually lost
AbsorptionMetals, electrodes, and lossy functional layers absorb electromagnetic energyConverts optical energy to heat
Evanescent and SPP couplingDipole near fields couple to high-wavevector states at a metal–dielectric interfaceOften creates strong near-field loss
Exciton nonradiative decayExcitons do not enter an electromagnetic channelRepresented by 1qeff1-q_{\mathrm{eff}}

Snell's law alone cannot separate these channels. Film thicknesses are comparable to the wavelength, so reflected waves interfere coherently; the energy allocation must be solved with a dipole multilayer model and integrated in in-plane-wavevector space. See Power Dissipation and Optical Modes for the exact definitions.

Introductory Phenomena and Their Physics

Observable phenomenonMain optical causeRelated article
High material PLQY but device EQE near 20%Conversion efficiency, effective quantum efficiency, and outcoupling efficiency multiply stage by stageThis article
Changing one layer thickness changes brightness and efficiency with the same emitterDipole position and microcavity interference redistribute outcoupling and lossMicrocavity Effect
A display looks greener, bluer, or more saturated off axisThe cavity resonance moves with angle and reweights spectral bandsMicrocavity Effect
Some OLEDs are nearly Lambertian while others are strongly forward-directedA weak cavity can approach constant radiance; a strong cavity selects anglesMicrocavity Effect
Horizontally oriented molecules often increase EQEHorizontal dipoles place more power near the surface normal and inside the escape coneDipole Model and Applicability
Moving the EML toward a metal changes both lifetime and efficiencyThe optical environment changes the decay rate and high-wavevector lossPurcell Effect
Increasing electrode reflectance can first raise and then lower efficiencyConstructive interference improves outcoupling while repeated passes and metal absorption growMicrocavity Effect

Together, these observations show that the material determines what light can be generated, while device optics determines its color, direction, and probability of leaving the device.

Next Step

Continue with Dipole Model and Applicability to see why an emitter is represented by a point dipole and how molecular orientation enters the calculation.

Reference

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  2. Shim, J. I.; Shin, D. S. Measuring the Internal Quantum Efficiency of Light-Emitting Diodes: Towards Accurate and Reliable Room-Temperature Characterization. Nanophotonics 2018, 7, 1601–1615.
  3. Greenham, N. C.; Friend, R. H.; Bradley, D. D. C. Angular Dependence of the Emission from a Conjugated Polymer Light-Emitting Diode: Implications for Efficiency Calculations. Adv. Mater. 1994, 6, 491–494.
  4. Salehi, A.; Chen, Y.; Fu, X.; Peng, C.; So, F. Manipulating Refractive Index in Organic Light-Emitting Diodes. ACS Appl. Mater. Interfaces 2018, 10, 9595–9601.
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