Abstract

An estimating function is proposed to evaluate the chromatic aberration of a gradient-index rod lens. By suitable design a marked reduction of chromatic aberration was obtained using the Selfoc lens as an imaging system.

© 1980 Optical Society of America

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References

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  1. T. Uchida et al., IEEE J. Quantum Electron. QE-6, 606 (1970).
    [CrossRef]
  2. K. Ikeda, K. Nishizawa, M. Toyama, Proc. Int. Cong. Glass 6, 76 (1974).

1974 (1)

K. Ikeda, K. Nishizawa, M. Toyama, Proc. Int. Cong. Glass 6, 76 (1974).

1970 (1)

T. Uchida et al., IEEE J. Quantum Electron. QE-6, 606 (1970).
[CrossRef]

Ikeda, K.

K. Ikeda, K. Nishizawa, M. Toyama, Proc. Int. Cong. Glass 6, 76 (1974).

Nishizawa, K.

K. Ikeda, K. Nishizawa, M. Toyama, Proc. Int. Cong. Glass 6, 76 (1974).

Toyama, M.

K. Ikeda, K. Nishizawa, M. Toyama, Proc. Int. Cong. Glass 6, 76 (1974).

Uchida, T.

T. Uchida et al., IEEE J. Quantum Electron. QE-6, 606 (1970).
[CrossRef]

IEEE J. Quantum Electron. (1)

T. Uchida et al., IEEE J. Quantum Electron. QE-6, 606 (1970).
[CrossRef]

Proc. Int. Cong. Glass (1)

K. Ikeda, K. Nishizawa, M. Toyama, Proc. Int. Cong. Glass 6, 76 (1974).

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Figures (9)

Fig. 1
Fig. 1

Relationship between ΔP/P and ΔV/Vr0 as parameters of Nr0, Vr0, and ΔN.

Fig. 2
Fig. 2

Relationship between ΔP/P and the amount of exchanged R2O.

Fig. 3
Fig. 3

Optical measurement setup for testing the amount of chromatic aberration.

Fig. 4
Fig. 4

Focal and lens lengths and optical paths of the rays of C, D, and F light.

Fig. 5
Fig. 5

Relationship between Δf/f and lens length according to ΔP/P.

Fig. 6
Fig. 6

Relationship between image plane, lens length, and variation of ΔP/P for unit magnification.

Fig. 7
Fig. 7

MTF of single lenses of Tl 005 and Cs 020.

Fig. 8
Fig. 8

Spot position and lens length.

Fig. 9
Fig. 9

Spot position and wavelength.

Tables (2)

Tables Icon

Table I Composition and Optical Properties of Two Glasses

Tables Icon

Table II Comparison of the Estimating Function ΔP/P for Two Glasses

Equations (12)

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N = N 0 ( 1 A 2 r 2 ) ,
P = 2 π / ( A ) 1 / 2 .
N ( λ ) = N 0 ( λ ) [ 1 A ( λ ) 2 r 2 ] .
A ( λ ) = 2 [ N 0 ( λ ) N r 0 ( λ ) N 0 ( λ ) ] 1 r 0 2 ,
Δ P P = 1 2 Δ A A = 1 2 N 0 · Δ N r 0 N r 0 · Δ N 0 ( N 0 N r 0 ) · N 0 ,
Δ P P = 1 2 1 V 0 ( 1 1 N 0 ) 1 V r 0 ( 1 1 N r 0 ) N 0 N r 0 1 ,
Δ N 0 = N 0 1 V 0 , Δ N r 0 = N r 1 V r 0 ,
Δ P = P C P F , P = P D .
f = 1 N 0 ( A ) 1 / 2 sin ( A ) 1 / 2 Z ,
Δ f f = Δ N 0 N 0 [ 1 + ( A ) 1 / 2 Z cot ( A ) 1 / 2 Z ] · Δ P P ,
N 0 A 1 / 2 l = tan [ ( A ) 1 / 2 2 Z ] ,
N 0 A 1 / 2 l = cot ( A ) 1 / 2 Z ,

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