Abstract

By distinguishing six areas (four on the sphere plus both sides of the screen) according to possible mutual exchanges and direct illumination, the approach leads for any given source to sets of six equations between the unknown illumination levels of these areas. From one of them defining the measurement, correction factors, restricted to the effect of the screen, are deduced for the comparison between a standard and an unknown lamp. Applied to the controversial case of the photometry of a fluorescent lamp, the method shows that its direction is irrelevant provided that both lamps are centered at the same place. The screen should be small. The paper demonstrates serious errors in the photometric method in which the luminance of the back of the screen is measured.

© 1971 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. F. Rotter, Lichttechnik 4, 44A (1969).
  2. K. Stolzenberg, Lichttechnik, 10, 518 (1958).
  3. F. Sarteel, Revue E (Brussels) 4, 419 (1965).
  4. L. Morren, Revue E (Brussels) 4, 119 (1969).

1969

F. Rotter, Lichttechnik 4, 44A (1969).

L. Morren, Revue E (Brussels) 4, 119 (1969).

1965

F. Sarteel, Revue E (Brussels) 4, 419 (1965).

1958

K. Stolzenberg, Lichttechnik, 10, 518 (1958).

Morren, L.

L. Morren, Revue E (Brussels) 4, 119 (1969).

Rotter, F.

F. Rotter, Lichttechnik 4, 44A (1969).

Sarteel, F.

F. Sarteel, Revue E (Brussels) 4, 419 (1965).

Stolzenberg, K.

K. Stolzenberg, Lichttechnik, 10, 518 (1958).

Lichttechnik

F. Rotter, Lichttechnik 4, 44A (1969).

K. Stolzenberg, Lichttechnik, 10, 518 (1958).

Revue E (Brussels)

F. Sarteel, Revue E (Brussels) 4, 419 (1965).

L. Morren, Revue E (Brussels) 4, 119 (1969).

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 (2)

Fig. 1
Fig. 1

Main parameters. x = d/R; y = c/R.

Fig. 2
Fig. 2

The six areas.

Tables (6)

Tables Icon

Table I Tubular Fluorescent Lamp Along Diameter PQ

Tables Icon

Table II Tubular Fluorescent Lamp Perpendicular to PQ

Tables Icon

Table III Fluorescent Lamp Along Diameter PQ

Tables Icon

Table IV Fluorescent Lamp Perpendicular to Diameter PQ

Tables Icon

Table V Measurement with Photoreceiver Behind Window

Tables Icon

Table VI Computation of Correction Factor cs.

Equations (37)

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

F 12 = φ 12 F 1 = φ 12 A 1 M 1             and             F 21 = φ 21 F 2 = φ 21 A 2 M 2 .
E 21 = F 12 / A 2 = φ 12 ( A 1 / A 2 ) M 1 .
F 12 / M 1 = F 21 / M 2
φ 12 A 1 = φ 21 A 2 .
E 21 = φ 21 M 1 .
E = σ i M i / A = f i M i .
φ j i = f i .
φ i i = f i .
φ a a , φ σ 1 a , φ σ 2 a             all equal to f a ( = a / A ) ,
φ b b , φ σ 1 b , φ σ 2 b             all equal to f b ( = b / A ) ,
φ σ 1 σ 1 , σ a σ 1 , φ b σ 1             all equal to f 1 ( = σ 1 / A ) ,
φ σ 2 σ 2 , φ a σ 2 , φ b σ 2             all equal to f 2 ( = σ 2 / A ) .
φ σ 1 s 1 = φ σ 1 σ 2 in an empty sphere = f 2 ,
φ σ 1 s 2 = f 1 .
φ s 1 σ 1 = φ s 2 σ 2 = f 1 f 2 / g .
φ s 1 a = φ s 2 b = 1 - ( f 1 f 2 / g ) ,
φ a s 1 = [ 1 - ( f 1 f 2 / g ) ] ( g / f a ) ,
φ b s 2 = [ 1 - ( f 1 f 2 / g ) ] ( g / f b ) .
φ a b = f b - φ a s 1 .
φ a b = f b - [ 1 - ( f 1 f 2 / g ) ] [ g / f a ] ,
φ b a = f a - [ 1 - ( f 1 f 2 / g ) ] ( g / f b ) .
M i = ρ E i ,
E i = j = 1 j = 6 φ i j E j + E d i             ( if any ) .
( 1 - ρ φ i i ) E i - j 1 φ i j ρ E j = E d i             ( or O ) .
y = ( 1 - x ) / 2 ,
F x = π 2 l 0 l ,
F n = ( 39 / 40 ) · 4 π I n .
E 0 = F / A .
E 1 = k [ ρ / ( 1 - ρ ) ] · ( F / A ) ,
m = k [ ρ / ( 1 - ρ ) ] ,
E 1 = m E 0             or             E 1 / E 0 = m ,
E d / E 0 = ( F p / A p ) · ( A / F ) = ( 1 / f ) · ( F p / F ) .
F b n / F n = ( Ω b / 4 π ) · ( 40 / 39 ) - ( 1 / 39 ) .
E 1 x = m x ( F x / A ) ,
E 1 n = m n ( F n / A ) .
F x = ( E 1 x / E 1 n ) ( m n / m x ) F n = ( E 1 x / E 1 n ) · c 1 · F n ,
c 1 = m n / m x = k n / k x .

Metrics