光学

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1 Received Marc 5, 00; Revised August 6, 00; Accepted Nvember, 00 0, 0365 / Optical Designing r Head Munt Display Giving Natural 3D Image Miki OKA, Masat SHIBUYA, Kazuisa MAEHARA, Sunsuke HASE and Suezu NAKADATE Faculty Engineering/Graduate Scl Engineering, Tky Plytecnic University, 583 Iiyama, Atsugi 3097 Present a liatin: Device Tecnlgy Department, Atsugi Tec, Semicnductr Tecnlgy Develpment Divisin, Semicnductr Business Unit, Cnsumer Prducts & Devices Grup, Sny Crpratin, Asai-c, Atsugi 300 In rder t realize te natural 3D image wic utilizes nt nly bincular parallax but als cusadjusting, we cnsidered and develped te ptics used in te ead munt display wic displays ininite distance bject and near distance bject separately at dierent psitins. Since sme aberratins suld be caused by mving te bject distance, te cnventinal ptical system cannt display bt tese tw bjects simultaneusly witut te aberratin. Accrding t te practical lens designing, we und ut te ield curvature and astigmatism are dminant aberratins in tis case. Tus, we develped te ptical design metd t reduce tis ield curvature by giving te apprpriate value distrtin. By using ur prpsed metd, te ptical design r te natural 3D image is enabled. Key wrds: distrtin, 3D-display, ead munt display, prjectin relatin, ield curvature, bject distance. Fig. a b 3 EL sibuya@pt.t-kugei.ac.jp 36 36

2 a b Fig. Natural 3D ptical system using transparent rganic electr luminescence. a Basic cncept natural 3D ptical system, btp view natural 3D ptical system

3 a Fig. Ray diagram natural 3D ptical system. a b Fig. Lngitudinal aberratin diagrams near and ininite bject. aininite bject, bnear bject. b Fig. 3Spt diagrams near and ininite bject. aininite bject, bnear bject. Fig. 5.0 mmf/.5 mm L 50.0 mm Fig. 3ab F/.5l mm 0.08 mm Fig. mm 3.

4 Fig. 5Optical parameters r estimating sperical aberratin. Fig. 6Optical parameters r estimating sine cnditin. 3. Fig. 5 L A X L X A q q X Fig. 6 L B y y L q y y tan L mml 50 mm.5 mm F F/ y 0.6 mm 3 sinq 5 mmy0.6 mm sinq Fig. 5 y X tanq 3 3 cs cs X y L Fig. 6 B y gsinq 3 g sinq L A B B y B dy dy Fig. 6 dy µ dy 5- µ y cs L/cs L tan y g L m 5-3Fig A B q 39 39

5 dy dy µ µ cs dy dy d L cs cs cs g csd L/cs 6 g g g tanq cs 3 7- g sinq 7- g csq sinq L 3 cs 3/ tan 3 8 L 8 L cs X L L L L 3 L 3 L L sin L 7-9 DS 9 S X X 0 L F DS l F DS 0 F/D 0 0 L D/ / F L / λ 5.00 mm L mm l nmd 5 / F mmf/. e DS/F S ε F 0,F/DD/ / 3 F 5 L ε e mm L mm F.75 6 F Fig. 3 F/.5 5 mm F/5 Fig. 7 F/3 af/3 b3 6Fig. 7b 3.

6 a Image ininite bject a(+) (+) (+) (+) y(+) y(+) C x( ) L 0 (+) (+) (+) x( ) Near bject plane Fig. 8Telecentric ptical system. Image near bject b Fig. 7Spt diagrams near and ininite bject F/3. aininite bject, bnear bject. Fig. 8 Fig mm Fig. 8 L Fig. 8 q q Dq L C q q Dq y g sinq 7 7 Dy g sinq Dsinq 8 L Fig. 8 L tan tan L a 9 cs a L X X L 0 Fig. 5 X 0 Fig. 8 X X q Dq a Dq Dy Dy X tana tana sina y X sinα a Straubel

7 adsinq Dysina 3 3 X y a y 0 X X y 5 L a 8 { g } 6 L a 96 g a L a L / / a L cs L cs acs 3 cs g F 8 8 sinq 7 3 g sin sin 9 3 cs 3 g g / 3 g sin / d 0 d cs d sin 0 0 / 0 F, / dx sin x / sin sin sin 60 Fig. 9Prjectin relatin lens. tanq tan q / sin q q g sinq tang : gsing tang sing sin 3 G 3- G tan G/ : gsing tan sing sin G sin G 8 sing sin 3 G 3- sing : gsing sing 3-3 G : gsing G sing sin 3 G 3-6 sinq 5 Fig d S d S 3 S S d 5

8 3 S 0 S 0 33 S 0 5 S α α 3 N N a N a N gˆ g α, α 0 35 g g g = g = g ˆ g 35 NN 3 S Dy y tan 3 tan 3 38 α 5 a /a 5 tanq ydy y y tan tan sinq y y tan tan sin sin sin sin sin sin tanq k d S k k a / a 5 α d d d S S S d S 5 S α α αα 3 N N a a a 0a 0 0 S 0 0 d S 0 d 3637 S 5 k 3 3

9 δ α α 6 κ 5 a0 gˆ g 50 mm α gˆ g 50 d d S ( ) 7 k 50 Dy 5 3 y Ntanω R 8 α R gˆ 50 mm 5 mm ã / 5 F/5 R.5 mm w 3 y tan mm / 5 50 S d 3. tanq 30 Table 50 mm mm Fig. Fig. 3 Table Optical designing cnditin. F d 5.00 mm 5.00 mm F/5.0 L mm L Fig. 0Ray diagram applying ield curvature nn-generatin cnditin. 5 mmf/5d Fig. 0 Fig. Fig F/5 5. EL

10 a a b b Fig. Lngitudinal aberratin diagrams applying ield curvature nn-generatin cnditin. aininite bject, bnear bject. Fig. Spt diagrams applying ield curvature nn-generatin cnditin. aininite bject, bnear bject T. Ucida, S. Kaneta, M. Iciara, M. Otsuka, T. Otm and D. R. Marx: Flexible transparent rganic ligt emitting devices n plastic ilms wit alkali metal dping as electrn injectin layerjpn. J. Appl. Pys., 005L8L p pp

IP IIS Construction of Overhead View Images by Estimating Intrinsic and Extrinsic Camera Parameters of Multiple Fish-Eye Cameras Shota Kas

IP IIS Construction of Overhead View Images by Estimating Intrinsic and Extrinsic Camera Parameters of Multiple Fish-Eye Cameras Shota Kas I-08- IIS-08- Construction of Overead View Images by Estimating Intrinsic and Extrinsic Camera arameters of Multiple Fis-Eye Cameras Sota Kase, Ryota Okutsu, Hisanori Mitsumoto (Cuo University) Yoei Aragaki,