Abstract

A method of measuring the total illuminance of an optical system is described. Measurements made on a real system show good correlation between theoretical and experimental data. It has been found that experimental measurements of this kind easily reveal the degree of color correction in the axial image and can quantitatively give a measure of lens system performance in terms of total illuminance.

© 1963 Optical Society of America

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References

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  1. Rayleigh (J. W. Strutt), Phil. Mag. 11, 214 (1881).
  2. E. Wolf, Proc. Roy. Soc. (London) A204, 533 (1951).
  3. R. Barakat, J. Opt. Soc. Am. 51, 152 (1961).
    [Crossref]
  4. R. Barakat and M. Morello, “Computation of the Total Illuminance of an Optical System from the Design Data for Rotationally Symmetric Aberrations” (to be published).
  5. R. R. Shannon and A. H. Newman, Appl. Opt. 2, 365 (1963).
    [Crossref]

1963 (1)

1961 (1)

1951 (1)

E. Wolf, Proc. Roy. Soc. (London) A204, 533 (1951).

1881 (1)

Rayleigh (J. W. Strutt), Phil. Mag. 11, 214 (1881).

Rayleigh (J. W. Strutt), Phil. Mag. 11, 214 (1881).

Barakat, R.

R. Barakat, J. Opt. Soc. Am. 51, 152 (1961).
[Crossref]

R. Barakat and M. Morello, “Computation of the Total Illuminance of an Optical System from the Design Data for Rotationally Symmetric Aberrations” (to be published).

Morello, M.

R. Barakat and M. Morello, “Computation of the Total Illuminance of an Optical System from the Design Data for Rotationally Symmetric Aberrations” (to be published).

Newman, A. H.

Rayleigh,

Rayleigh (J. W. Strutt), Phil. Mag. 11, 214 (1881).

Shannon, R. R.

Strutt, J. W.

Rayleigh (J. W. Strutt), Phil. Mag. 11, 214 (1881).

Wolf, E.

E. Wolf, Proc. Roy. Soc. (London) A204, 533 (1951).

Appl. Opt. (1)

J. Opt. Soc. Am. (1)

Phil. Mag. (1)

Rayleigh (J. W. Strutt), Phil. Mag. 11, 214 (1881).

Proc. Roy. Soc. (London) (1)

E. Wolf, Proc. Roy. Soc. (London) A204, 533 (1951).

Other (1)

R. Barakat and M. Morello, “Computation of the Total Illuminance of an Optical System from the Design Data for Rotationally Symmetric Aberrations” (to be published).

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Figures (11)

Fig. 1
Fig. 1

Schematic of total illuminance apparatus.

Fig. 2
Fig. 2

Photograph showing the drum carrying circular holes and housing. Also, the photomultiplier tube housing which fits directly behind the holes when housing is in place can be seen.

Fig. 3
Fig. 3

Photograph showing front view of housing and a test lens.

Fig. 4
Fig. 4

Output of the photocell where each peak represents the total illuminance (unnormalized) contained in the circular hole presented to the diffracted image.

Fig. 5
Fig. 5

Contour lines of total illuminance for F/22 system at λ~7000 Å (red light).

Fig. 6
Fig. 6

Contour lines of total illuminance for F/22 system at λ~5480 Å (green light).

Fig. 7
Fig. 7

Contour lines of total illuminance for F/22 system at λ~4300 Å (blue light).

Fig. 8
Fig. 8

Comparison of the total illuminance curves for F/22 system in plane of best focus for each color. Note that we employ the normalized radius v0 given by (1.3).

Fig. 9
Fig. 9

Contour lines of total illuminance for F/6 system at λ~7000 Å (red light).

Fig. 10
Fig. 10

Contour lines of total illuminance for F/6 system at λ~5480 Å (green light).

Fig. 11
Fig. 11

Comparison of the total illuminance curves for F/6 system in plane of best focus for each color. Note that we employ the normalized radius v0 given by (1.3). The solid line corresponds to that of an aberration-free system as given by (1.2).

Tables (2)

Tables Icon

Table I Physical and reduced size of holes on drum.

Tables Icon

Table II Relative pinhole sizes to be employed at various apertures.

Equations (3)

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L ( v 0 ) = N 0 v 0 I ( v ) v d v ,
v 0 = ( π D / λ f ) z = ( π / λ F ) z ,
L ( v 0 ) = 1 - J 0 2 ( v 0 ) - J 1 2 ( v 0 ) .