Abstract

Use of a gradient-index (GRIN) substrate is proposed as a novel signal-propagation medium for planar optics. The GRIN substrate provides planar optics designers not only a three-dimensional light propagation space but also smart optical diffraction-limited imaging. Experimental results on the imaging of an input signal to multiple destinations by the GRIN planar optics are presented.

© 1998 Optical Society of America

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References

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1997

1992

1989

1980

Carey, C.

Huang, A.

Iga, K.

Jahns, J.

Jeong, J.

Lee, E.

Liu, H.

Liu, J.

Marchand, E. W.

E. W. Marchand, Gradient Index Optics (Academic, New York, 1978).

Midwinter, J.

Moore, D.

Selviah, D.

Song, S.

Testorf, M.

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Figures (4)

Fig. 1
Fig. 1

GRIN substrate.

Fig. 2
Fig. 2

GRIN planar optical imaging: (a) single ray trajectory, (b) diverging ray trajectory in point-to-point imaging, (c) bounced ray trajectory in multiple imaging.

Fig. 3
Fig. 3

Ray tracing results in GRIN planar optics: (a) g=0.339 mm-1, h4=2/3, h6=-17/45; (b) g=0.339 mm-1, h4=0, h6=0.

Fig. 4
Fig. 4

Experimental results of planar optical imaging. Positions of the incident power beam, Pin, and the imaging spots, P1 and P2, are drawn schematically under each of the three photographs.

Equations (5)

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n2r=n021-gr2+h4gr4+h6gr6,r<r0,
p=2π/g.
x=xi cos Ωz+x·iΩsin Ωz,
Ω/g=1-3/4h4-2/3gxi2+x·i2-3/4h4-2/321gxi4+46gxi2x·i2+17x·i4/12-3/4h4-2/32×7gxi4+46gxi2x·i2+23x·i4/12-15/16h6+17/45gxi2+x·i2,
B=460g/3/4n01+gLh4-2/3,

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