Abstract

The possibilities of transmitting spatial information through a long gradient-index rod are presented. Spatial resolution vs rod diameter are optimized for both visible and IR transmitting systems.

© 1982 Optical Society of America

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References

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  1. E. W. Marchand, Gradient Index Optics (Academic, New York, 1978).
  2. L. E. Curtiss, Optical Performance of Selected Fetoscope Designs (Excerpta Medica International Congress Series 371, Amsterdam, 1977).

Curtiss, L. E.

L. E. Curtiss, Optical Performance of Selected Fetoscope Designs (Excerpta Medica International Congress Series 371, Amsterdam, 1977).

Marchand, E. W.

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

Other (2)

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

L. E. Curtiss, Optical Performance of Selected Fetoscope Designs (Excerpta Medica International Congress Series 371, Amsterdam, 1977).

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Figures (5)

Fig. 1
Fig. 1

Schematic of paraxial rays traversing a long GRIN rod, illustrating periodic internal images.

Fig. 2
Fig. 2

Coordinate system and polynomial representation for a radial gradient.

Fig. 3
Fig. 3

Detail of a half-period length of a radial gradient rod, illustrating the paths of the axial and chief rays.

Fig. 4
Fig. 4

Effect of period length on the space bandwidth and fiber radius of a fixed-length fiber. (Number of half-periods is inversely related to the period length.) The f/No. is held constant at f/2, field height = 0.62 mm, fiber length = 1.0 m, and diffraction bandwidth = 500.

Fig. 5
Fig. 5

Effect of f/No. on the minimum fiber radius capable of transmitting an unvignetted image: (a) λ = 1.0 μm; (b) λ = 3.4 μm; (c) λ = 10.0 μm.

Tables (5)

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Table I Aberrations of a Radial Gradient Rod at Unit Magnification and Parameters Used for Correction

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Table II Effect of f/No. Field Height yb and Period Length z on Aberration Spot Size and on Fiber Diameter

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Table III Effect of Period Length on the Space Bandwidth of a Fixed-Length Fiber (Fiber Radius Held Constant)

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Table IV Examples of the Predicted Effect of Increased Wavelength on Fiber Diameter for a Constant Space Bandwidth

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Table V Final Designs (Length = 1 m)

Equations (4)

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z 2 = - 2 π 2 N 00 N 10 .
θ = arctan ( y a max / y b max ) ; y b = y b max cos θ ; y a = y a max sin θ ;
y = y 0 c + q 0 s b ,
y = N 00 sin μ 0 N 00 k = 1 2 k f / # N 00 .

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