Abstract

No abstract available.

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. R. W. Wood, Physical Optics (Macmillan and Company, Ltd., London, 1919), p. 67.
  2. W. N. Bond, Phil. Mag. 44, 999 (1922).
  3. R. Hill, Proceedings of the Optical Convention (1926) 878.
  4. C. Bech, J. Sci. Instr. 2, 135 (1925).
    [CrossRef]
  5. H. Schulz, D. R. Patent No. 620538 (1932).
  6. W. Merté, D. R. Patent No. 672393 (1935).
  7. A. C. S. van Heel and et al., U. S. Patent No. 2947219 (1960).

1926 (1)

R. Hill, Proceedings of the Optical Convention (1926) 878.

1925 (1)

C. Bech, J. Sci. Instr. 2, 135 (1925).
[CrossRef]

1922 (1)

W. N. Bond, Phil. Mag. 44, 999 (1922).

Bech, C.

C. Bech, J. Sci. Instr. 2, 135 (1925).
[CrossRef]

Bond, W. N.

W. N. Bond, Phil. Mag. 44, 999 (1922).

Hill, R.

R. Hill, Proceedings of the Optical Convention (1926) 878.

Merté, W.

W. Merté, D. R. Patent No. 672393 (1935).

Schulz, H.

H. Schulz, D. R. Patent No. 620538 (1932).

van Heel, A. C. S.

A. C. S. van Heel and et al., U. S. Patent No. 2947219 (1960).

Wood, R. W.

R. W. Wood, Physical Optics (Macmillan and Company, Ltd., London, 1919), p. 67.

J. Sci. Instr. (1)

C. Bech, J. Sci. Instr. 2, 135 (1925).
[CrossRef]

Phil. Mag. (1)

W. N. Bond, Phil. Mag. 44, 999 (1922).

Proceedings of the Optical Convention (1)

R. Hill, Proceedings of the Optical Convention (1926) 878.

Other (4)

R. W. Wood, Physical Optics (Macmillan and Company, Ltd., London, 1919), p. 67.

H. Schulz, D. R. Patent No. 620538 (1932).

W. Merté, D. R. Patent No. 672393 (1935).

A. C. S. van Heel and et al., U. S. Patent No. 2947219 (1960).

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (5)

F. 1
F. 1

Development of fish eye lens.

F. 2
F. 2

A fish eye lens with corrected color aberration.

F. 3
F. 3

Aberration curves of fish eye lens shown in Fig. 2. Curves a show spherical aberration of d and g lines and sine condition of d line, clotted. Curves b show astigmatism, and curves c show lateral color aberration for c and g lines.

F. 4
F. 4

Curves of various projections: (1) ordinary projection, (2) stereo-graphic projection, (3) equidistance projection, (4) equisolid angle projection.

F. 5
F. 5

Explanation of notations used in Eqs. (5) and (6).

Tables (1)

Tables Icon

Table I Lens data of fish eye lens shown in Fig. 2. r, d, nd, and νd are radius of curvature, distance, index of refraction (d line), and Abbe number, respectively.

Equations (13)

Equations on this page are rendered with MathJax. Learn more.

r = f tan ϕ ,
r = 2 f tan ( ϕ / 2 ) ,
r = f ϕ ,
r = 2 f sin ( ϕ / 2 ) ,
d r = f ( cos ϕ / 2 ) 2 d ϕ , r d θ = f ( cos ϕ / 2 ) 2 ( sin ϕ d θ ) .
d r = f d ϕ , r d θ = f ( ϕ / sin ϕ ) ( sin ϕ d θ ) . }
d Ω = sin ϕ d ϕ d θ = ( 1 / f 2 ) r d r d θ = ( 1 / f 2 ) d S ,
d Ω = ( 1 / f 2 ) [ sin ( r / f ) ( r / f ) ] d S .
n 2 cos ϕ d Ω d S = n 2 cos ϕ d Ω d S ,
W = N cos ϕ d Ω , = N ( n / n ) 2 cos ϕ ( d S / d S ) d Ω .
r = f ϕ , r = l tan ϕ .
Δ Ω a cos ϕ / ( l / cos ϕ ) 2 , d S / d S = rdrd θ / r d r d θ = ( l 2 tan ϕ / cos 2 ϕ ) / f 2 ϕ ,
W ( n / n ) 2 N cos ϕ Δ Ω ( d S / d S ) , = ( n / n ) 2 N ( a cos ϕ / f 2 ) ( sin ϕ / ϕ ) .