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3 Dimensional Optical Technology 3DOT
Stereoscopic Hologram
Joonku Hahn
Kyungpook National University
3 Dimensional Optical Technology 3DOT
Outline:
1. Introduction
- Basic structure of holographic display
- Wigner distribution function
2. Design of ‘Stereoscopic Hologram’
- Optical design concept
- Viewing window
- Spatial light modulator
3. Examples of ‘Stereoscopic Hologram’
- Holographic display with a large-scale SLM
- Projection-type holographic display
- Head-mounted holographic display
4. Summary
1
3 Dimensional Optical Technology 3DOT
2
1. Introduction
Available structure of holographic display
Electrically
addressable
Spatial Light
Modulator
Coherent
Light
Source
Optics Optics Observer Screen Optical
filter
Scanner Optically
addressable
Spatial Light
Modulator
(optional) (optional)
3 Dimensional Optical Technology 3DOT
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1. Introduction
f
duM
p
Np
p
p
ap
ap
u
v
v
uW
vW
Transfer lens
Focal plane
0 order
diffraction
-1 order diffraction
on v-axis
+1 order diffraction
on v-axis
Local viewing angle
Spherical phase
resulting from
Amplitude contour
by sinc function
Pixels of SLM
d f
,c c
Central direction of
local viewing angle
2 22 Area of image Numerical Aperture wavelength .u v u vN M W W
Space-bandwidth product
J. Hahn, H. Kim, Y. Lim, G. Park, and B. Lee, Optics Express 16, pp. 12372-12386, (2008).
2 2Data capacity Area of screen Field of view wavelength Color depth
Space-Bandwidth Product
Data capacity
3 Dimensional Optical Technology 3DOT
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Wigner distribution function
x
v
x
v
After a Fresnel transform After a Fourier transform
x
v
The area in the Wigner distribution function is equal to the space-bandwidth product.
A. W. Lohmann, R. G. Dorsch, D. Mendlovic, Z. Zalevsky, and C. Ferreira, J. Opt. Soc. Am. A 13, 470-473 (1996).
1. Introduction
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Hologram plane
Viewing window plane
x
y
u
v
Definition of the planes in holographic display
1. Introduction
3 Dimensional Optical Technology 3DOT
6
Holographic Stereogram vs. Stereoscopic Hologram
Holographic
Stereogram
Stereoscopic
Hologram
1. Introduction
Viewing window plane Hologram plane
3 Dimensional Optical Technology 3DOT
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2. Design of ‘Stereoscopic Hologram’
1.8m
20inch
10inch
View volume defined
by 4K-resolution hologram 40inch
View volume defined
by 2K-resolution hologram
View volume defined
by 8K-resolution hologram
Stereoscopic Hologram
Transverse resolution at screen
0.11
Width of viewing window at pupil of eye
1.8 8.2 @ 0.5VW
p mm
w m p mm m
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Hologram plane
Viewing window
2. Design of ‘Stereoscopic Hologram’
Basic geometry of stereoscopic holographic display
3 Dimensional Optical Technology 3DOT
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Large-aperture SLM
Viewing windowLight source
Hologram plane
2. Design of ‘Stereoscopic Hologram’
Display with a large-aperture SLM
3 Dimensional Optical Technology 3DOT
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2. Design of ‘Stereoscopic Hologram’
Viewing window
Spot size of undiffracted light needs to be small enough for fear of disturbing the signal
which is modulated by spatial light modulator.
3 Dimensional Optical Technology 3DOT
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Small-aperture SLM
Viewing window
Light source
Projection optics
with a pair of parabolic mirrors Hologram plane
2. Design of ‘Stereoscopic Hologram’
Projection-type display
‘Real image’
3 Dimensional Optical Technology 3DOT
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2. Design of ‘Stereoscopic Hologram’
Types and properties of SLM
Liquid crystal display
(LCD) modulator
Digital micro-mirror device
(DMD) modulator
Acousto-optic modulator
(AOM)
Liquid crystal on Silicon
(LCoS) modulator
Amplitude-only modulation
Phase-only modulation
-1 1
i
-i
Re
Im
Full-complex modulation
-1 1
i
-i
Re
Im
Typical characteristic
of liquid crystal device
-1 1
i
-i
Re
Im
-1 1
i
-i
Re
Im
3 Dimensional Optical Technology 3DOT
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f
1( )G f
maxf maxf
f
2 ( )G f
maxf maxff
3( )G f
maxf maxf
f
0 ( )G f
maxfmaxf
(a) (b)
(c) (d)
2. Design of ‘Stereoscopic Hologram’
Off-axis complex hologram encoding with amplitude-only modulation
C.-Y. Hwang, K.-S. Kim, B.-R. Lee, S. Oh, H. Kim, and J. Hahn, “Off-axis complex hologram encoding with amplitude-only modulation,” Opt. Express
submitted.
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2. Design of ‘Stereoscopic Hologram’
0x
0y 5y
5x
SLM planeViewing
window plane
z
2x
2y
Focal plane
4x
4y
1d 2 1d f 3d 4d 5d
Image plane
1f 2f 3f
1x
1y
3x
3y
Structure for off-axis complex hologram encoding with amplitude-only modulation
3 Dimensional Optical Technology 3DOT
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2. Design of ‘Stereoscopic Hologram’
Head-mount display
Light source
SLM
Viewing window Eyepiece
Hologram plane
‘Virtual image’
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Optical design
3. Examples of ‘Stereoscopic Hologram’
Holographic display with a large-scale SLM
Layout
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EYE Tracking Beamsplitter
Large-scale
Spatial Light Modulator
Array of Point Light Sources
Hologram Calculation
I/O ports
Main Control
Input Optics
Holographic display with a large-scale SLM
3. Examples of ‘Stereoscopic Hologram’
Structure according to functions
3 Dimensional Optical Technology 3DOT
Spatial light modulators
Input integrated optics
Motorized stages with
light sources array
Control boards Large-format beam splitter
18
1800mm500mm
182mm144mm
4.55deg
z
y
z=0
, ,in in inx y z , ,out out outx y z
z=-500mm z=1800mm
3. Examples of ‘Stereoscopic Hologram’
Holographic display with a large-scale SLM
3 Dimensional Optical Technology 3DOT
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Light engines
Optics for projection
Holographic display
Viewing windows
Viewing windows
Parabolic mirrors
Mirrors
FT lenses
SLM
Projection-type holographic display
3. Examples of ‘Stereoscopic Hologram’
Optical design Layout
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Collimators
Left part Right part
X-cube prism
Laser diode modules Red
Green
Blue Red
Green
Blue
Mirrors
FT lensesFilters
SLMs
SLMs
Collimators
X-cube prism
Laser diode modules
Laser diode module
Polarizer
PinholePlate spring
Objective lensCollimation lens
Adjustable tube
(a)
Red Green Blue
Projection-type holographic display
Light engine
3. Examples of ‘Stereoscopic Hologram’
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3. Examples of ‘Stereoscopic Hologram’
Holographic display with a large-scale SLM
10inch screen
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3. Examples of ‘Stereoscopic Hologram’
Holographic display with a large-scale SLM
Simulation Experiment
Focused
at the screen
Focused
0.9m away
from the screen
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Head-mounted holographic display
3. Examples of ‘Stereoscopic Hologram’
Optical design
Layout
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Control box
with light sources
Holographic display
for head-mounted application
Multimode optical fiber
Data cable
Multimode
optical fiber
Data cable
Beamsplitter
at viewing window Blue LED
Green LEDRed LED
Multimode
optical fiber
Control board
Head-mounted holographic display
3. Examples of ‘Stereoscopic Hologram’
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Head-mounted holographic display
y-axis [mm]
x-ax
is [m
m]
Complex optical field on retina
-1 -0.5 0 0.5 1
-0.6
-0.4
-0.2
0
0.2
0.4
0.6
y-axis [mm]
x-ax
is [m
m]
Complex optical field on retina
-1 -0.5 0 0.5 1
-0.6
-0.4
-0.2
0
0.2
0.4
0.6
y-axis [mm]
x-ax
is [m
m]
Complex optical field on retina
-1 -0.5 0 0.5 1
-0.6
-0.4
-0.2
0
0.2
0.4
0.6
y-axis [mm]
x-ax
is [m
m]
Complex optical field on retina
-1 -0.5 0 0.5 1
-0.6
-0.4
-0.2
0
0.2
0.4
0.6
y-axis [mm]
x-ax
is [m
m]
Complex optical field on retina
-1 -0.5 0 0.5 1
-0.6
-0.4
-0.2
0
0.2
0.4
0.6
y-axis [mm]
x-ax
is [m
m]
Complex optical field on retina
-1 -0.5 0 0.5 1
-0.6
-0.4
-0.2
0
0.2
0.4
0.6
y-axis [mm]
x-ax
is [m
m]
Complex optical field on retina
-1 -0.5 0 0.5 1
-0.6
-0.4
-0.2
0
0.2
0.4
0.6
y-axis [mm]
x-ax
is [m
m]
Complex optical field on retina
-1 -0.5 0 0.5 1
-0.6
-0.4
-0.2
0
0.2
0.4
0.6
y-axis [mm]
x-ax
is [m
m]
Complex optical field on retina
-1 -0.5 0 0.5 1
-0.6
-0.4
-0.2
0
0.2
0.4
0.6
y-axis [mm]
x-ax
is [m
m]
Complex optical field on retina
-1 -0.5 0 0.5 1
-0.6
-0.4
-0.2
0
0.2
0.4
0.6
y-axis [mm]
x-ax
is [m
m]
Complex optical field on retina
-1 -0.5 0 0.5 1
-0.6
-0.4
-0.2
0
0.2
0.4
0.6
y-axis [mm]
x-ax
is [m
m]
Complex optical field on retina
-1 -0.5 0 0.5 1
-0.6
-0.4
-0.2
0
0.2
0.4
0.6
Simulation Experiment
Red
(625nm)
Green
(528nm)
Blue
(462nm)
@1125mm @725mm @1125mm @725mm
3. Examples of ‘Stereoscopic Hologram’
3 Dimensional Optical Technology 3DOT
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4. Summary
Stereoscopic hologram has a great potential to display large field through a narrow
viewing windows.
Optical design of stereoscopic hologram has three possible geometries. The first
applies a large-aperture SLM and the second displays a real image of the SLM. The
last displays a virtual image of the SLM.
We succeeded in constructing several interesting systems under the cooperation
with Prof. Kim’s group in Korea University.
I N T E G R A T E D P H O T O N I C D E V I C E S & S Y S T E M S L A B
3 Dimensional
Optical
Technology
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