Virtual & Mixed Reality > Near-Eye Displays. Light Propagation through Waveguide with In- & Outcoupling Surface Gratings

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Virtual & Mixed Reality > Near-Eye Displays Light Propagation through Waveguide with In- & Outcoupling Surface Gratings

Task/System Illustration glass plate with in- & outcoupling surface gratings point source 2? intensity pattern? spot diagram collimation objective

Highlights tailored light guiding within a waveguide using surface gratings 3

Specification: Light Source Parameter Description / Value & Unit type/number spherical wave (point source) wavelength 532 nm polarization linear in x-direction (0 ) lateral offset 0 0 distance to next surface 30.955 mm aperture at next surface 2.5 mm 2.5 mm 4

Specification: Collimating Lens Parameter Value & Unit types of lens surfaces 5 lenses with 10 spherical surfaces numerical aperture (NA) 0.15 5

Specification: Waveguide ouput grating region Parameter Value & Unit type parallel planes thickness 1 mm material fused silica input region size 2.7 mm 2.7 mm input region position 0 0 output region size 15 mm 15 mm output region position 0 0 input grating region 6

Specification: Grating Surfaces selection of regarded diffraction orders (, 2, 1,0, +1, +2, ) per grating region regarded incident direction (from front & back side) transmission (T) & reflection (R) channel specification of grating vector and period respectively specification of efficiency per diffraction order easy to use balance of overall transmission & reflection efficiencies Efficiencies impact the non-sequential ray and field tracing convergence ( energy threshold). 7

Specification: Detectors a Position Modeling Technique Detector/Analyzer full system 3D ray tracing 3D ray tracing view a field tracing intensity pattern 8

Results: 3D System Ray Tracing 9

Result I: Only 0 th Non-Reflected Orders 2D system ray tracing view (xz-plane) ouput grating region Highlights tailored light guiding within a waveguide using surface gratings input grating region Region Channel Order Efficiency input forward T0 20 % output forward T0 20 % individual specification option for simulated diffraction order for each region 10 intensity pattern (inverse rainbow colors) with modulation due to polarization effects from lens surfaces

Result II: Plus +1 st Non-Reflected Orders 2D system ray tracing view (xz-plane) ouput grating region Highlights tailored light guiding within a waveguide using surface gratings input grating region Region Channel Order Efficiency input forward T0 20 % input forward T+1 20 % output forward T0 20 % output forward T-1 20 % 11 intensity pattern (inverse rainbow colors) different order modes are summed coherently

Result III: Plus Back Reflections 2D system ray tracing view (xz-plane) ouput grating region Highlights tailored light guiding within a waveguide using surface gratings input grating region Region Channel Order Efficiency input forward T0 20 % input forward T+1 20 % input backward R0 10 % output forward T0 20 % output forward R0 10 % output forward T-1 20 % 12 intensity pattern (inverse rainbow colors) with multiple reflected light modes

Result IV: Further Multi-Reflected Orders 2D system ray tracing view (xz-plane) ouput grating region Highlights tailored light guiding within a waveguide using surface gratings input grating region Region Channel Order Efficiency input forward T0 20 % input forward T+1 20 % input forward T-1 20 % input backward R0 10 % output forward T0 20 % output forward R0 10 % output forward T+1 20 % output forward T-1 20 % 13 intensity pattern (inverse rainbow colors) with further multiple reflected light modes

Document & Technical Info code version of document 1.0 title category author NED.0005 used VL version 7.0.0.29 Light Propagation through Waveguide with In- & Outcoupling Surface Gratings Virtual & Mixed Reality > Near-Eye Displays (NED) Roberto Knoth (LightTrans) Specifications of PC Used for Simulation Processor i7-4910mq (4 CPU cores) RAM 32 GB Operating System Windows 10 14