Virtual and Mixed Reality > Near-Eye Displays. Simulation of Waveguide System containing a Complex 2D Exit Pupil Expansion

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1 Virtual and Mixed Reality > Near-Eye Displays Simulation of Waveguide System containing a Complex 2D Exit Pupil Expansion

2 Task/System Illustration? intensity at output of waveguide eye model? intensity at pupil aperture? PSF & MTF on retina plane wave 2

3 Highlights non-sequential ray tracing and field tracing analysis of waveguide based systems including coherence, polarization and energy effects calculation of PSF and MTF of arbitrary shaped and illuminated apertures definition of arbitrary in- and outcoupling regions at the waveguide containing ideal or real grating surfaces 3

4 Specification: Light Source here 4.3 mm Parameter Description / Value & Unit name/type plane wave aperture 1.3 mm 1.3 mm (circular) wavelength 532 nm polarization linear in x-direction (0 ) 4

5 Specification: Waveguide here 4.3 mm Parameter Description / Value & Unit waveguide thickness 1 mm waveguide material fused silica waveguide geometry parallel plane interfaces number of regions 3 5

6 Specification: Model of Human Eye here 4.3 mm model of human eye contains: cornea aqueous pupil (incl. diameter) lens vitreous 6

7 Specification: Regions 2 1 Highlights non-sequential ray and field tracing analysis of waveguide optics definition of arbitrary in- and outcoupling regions at the waveguide containing ideal or real grating surfaces 3 Region Description / Value & Unit 1 incoupling region 2 2D exit pupil expansion region 3 outcoupling region 7

8 Specification: Incoupling Grating 1 Highlights non-sequential ray and field tracing analysis of waveguide optics definition of arbitrary in- and outcoupling regions at the waveguide containing ideal or real grating surfaces 3 here Parameter Description / Value & Unit grating type ideal grating grating period nm rotation angle 0 region shape rectangular region size 2.7 x 2.7 mm 8

9 Specification: 2D Expansion Grating 2 Highlights non-sequential ray and field tracing analysis of waveguide optics definition of arbitrary in- and outcoupling regions at the waveguide containing ideal or real grating surfaces here Parameter Description / Value & Unit grating type ideal grating grating period nm rotation angle -45 region shape polygon 9

10 Concept: 2D Exit Pupil Expansion Outcoupling Eyebox 2D Expansion 4.32 mm 10

11 Specification: Outcouling Grating Highlights non-sequential ray and field tracing analysis of waveguide optics definition of arbitrary in- and outcoupling regions at the waveguide containing ideal or real grating surfaces 3 here definition of a slanted grating Parameter Description / Value & Unit grating type real grating grating period nm rotation angle 0 region shape rectangular region size 11 x 11 mm 11

12 Specification: Detectors e a, b c, d Position Modeling Technique Detector/Analyzer full system 3D ray tracing 3D ray tracing system visualization a ray tracing spot diagram b field tracing intensity pattern c ray tracing spot diagram d field tracing intensity pattern e field tracing 2D PSF and MTF calculation 12

13 Result: 3D Ray Tracing 13

14 Result: Spots & Intensity after Outcoupling ray tracing spot diagram intensity (real color view) Highlights non-sequential ray and field tracing analysis of waveguide optics definition of arbitrary in- and outcoupling regions at the waveguide containing ideal or real grating surfaces simulation time ~15s (rigorous grating simulation included!) 14

15 Result: Spots & Intensity at Pupil ray tracing spot diagram Highlights intensity (real color view) non-sequential ray and field tracing analysis of waveguide optics definition of arbitrary in- and outcoupling regions at the waveguide containing ideal or real grating surfaces simulation time ~17s (rigorous grating simulation included!) 15

16 Result: PSF at Retina Highlights non-sequential ray and field tracing analysis of waveguide optics including coherence, polarization and energy effects calculation of PSF and MTF of arbitrary shaped and illuminated apertures PSF coherent PSF incoherent 16

17 Result: PSF at Retina Highlights non-sequential ray and field tracing analysis of waveguide optics including coherence, polarization and energy effects calculation of PSF and MTF of arbitrary shaped and illuminated apertures PSF coherent MTF coherent changing polarization to linear in y- direction (90 ) 17

18 Result: MTF at Retina Highlights non-sequential ray and field tracing analysis of waveguide optics including coherence, polarization and energy effects calculation of PSF and MTF of arbitrary shaped and illuminated apertures MTF coherent MTF incoherent 18

19 Result: MTF at Retina Highlights non-sequential ray and field tracing analysis of waveguide optics including coherence, polarization and energy effects calculation of PSF and MTF of arbitrary shaped and illuminated apertures MTF strongly dependent on coherence and polarization effects 19

20 Document & Technical Info code version of document 1.0 title category created by NED.0007 used VL version Simulation of Waveguide System containing a Complex 2D Exit Pupil Expansion Virtual and Mixed Reality > Near-Eye-Displays Roberto Knoth (LightTrans) Specifications of PC Used for Simulation Processor i mq (4 CPU cores) RAM 32 GB Operating System Windows 10 20

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