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Optimizing the light extraction efficiency of LED/OLEDs using FDTD Solutions

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One of the key challenges in the design of LEDs is to optimize their efficiency. In an LED or OLED, light extraction inefficiencies exist owing to the difficulty in light generated within a high-index material having difficulty propagating into the surrounding medium - usually air - owing to total internal reflection. However, the thicknesses of the constituent layers of the LED can be optimized and layers can be textured with micro-scale or nano-scale patterns in order to improve the light extraction efficiency.

How FDTD Solutions Performs

"I simulate 15X15X3 μm3 LED pixels including metallic backplace on a 20 node cluster. Prior to FDTD Solutions, this was not possible. Lumerical provides extremely fast single and multi-processor software to speed your design efforts.
H. Greiner, Philips

Step 1: Construct the FDTD Solutions model of the LED multilayer, including photonic crystal texturing

FDTD Solutions with LED light extraction model The layout editor shows all of objects contained in the simulation project. Objects can be moved and resized with simple mouse movements. The windows show the top, side, end and perspective views to assist with visualization.
  • construct the LED layer structure by using the object align functions
  • add photonic crystal-like microstructure by using the cylinder primitive and the array function
  • orange box shows the extent of the computation volume and the PML boundaries
  • yellow planes show transmission monitors
  • use a x-oriented dipole source to model the recombination of an electron-hole pair in the active layer; the blue arrow indicates the polarization direction

Step 2: Model the far-field light emitted from the unpatterned LED for the unoptimized layer structure

LED light extraction with an unoptimized layer structure Many integrated analysis functions facilitate data visualization and analysis. Here, field intensity data emitted out of the top of the LED structure is projected to the far-field using built-in, fully-vectorial near to far field projection tools. Performing this analysis in the frequency-domain allows for the measurement of the CW light extraction efficiency at multiple frequencies - in a single simulation.
  • far field visualization shows angular divergence of signal
  • here, the far field field intensity is shown for an unoptimized layer structure, without microstructured patterning
  • light emitted at >40 degrees will be trapped inside the structure owing to total internal reflection (TIR), suggesting that this structure has yet to be optimized

Step 3: Perform a parameter sweep using the integrated scripting environment to optimize the LED layer structure

LED light extraction once the layer structure has been optimized Use built-in scripting routines to render complicated analysis simple. Use a custom-designed script to vary the layer thickness of the active LED layer to optimize the light contained with a 40 degree emission cone.
  • selecting the far field image with the greatest fractional power radiated upward yields an optimum active LED layer thickness
  • the far field image now shows that more radiation is directed upwards from the LED relative to the unoptimized plot above

Step 4: Add microscale texturing to redirect and increase the light emitted from the LED

add photonic crystal texturing to LED to redirect and enhance light extraction To the optimized layer structure above, we add photonic crystal-like microstructure to the LED design. This allows for the LED designer to redirect and increase the efficiency with which the extraction efficiency can be increased. Proper design of the microstructure patterning can be used to constructively scatter the emitted radiation in a favoured direction.
  • The far field intensity plot shows the intensity of the central lobe is stronger and more tightly distributed than the structure without microstructure patterning

Step 5: Watch the movie and gain operational insight into LED light extraction

movie of dynamics in LED light extraction
unpatterned LED - click to play movie

movie of dynamics in LED light extraction
patterned LED - click to play movie
To better understand the origin of the light extraction efficiency improvement, use the built-in movie monitor in FDTD Solutions to capture the field dynamics of the simulation.
  • Here, we investigate the extraction gain for a vertically-oriented dipole
  • Note the vertically-scattered radiation present in the LED with the textured layer compared to the untextured structure



download FDTD Solutions today

See how easily FDTD Solutions can assist you with your design efforts! Download a free 30 day trial and request that a technical expert contact you.


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