Journal of the Society of Motion Picture Engineers (1930-1949)

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LENS-CALIBRATION REPORT 369 Equation (1) shows that for a very distant object of brightness B, the image illumination at the center of the field is proportional to tA/f2. For a circular aperture, (3) shows that the central image illumination is proportional to £/(/ number).2 Note also that in (4), the sine is correct and not the tangent, because in a lens satisfying the sine condition the "principal plane" is actually a sphere centered about the focal point. III. DEFINITION OF / NUMBER The definition of /number given in (4) above is in accordance with American Standard Z38. 4. 20-1948, paragraph 2.5. For a lens satisfying the sine condition and having a circular aperture, the / number r > _j L ' , ) | s z J : Fig. 1 is also equal to the ratio of the focal length to the diameter of the entrance pupil, thus 1 / number = : 2 sin 6' (5) If the lens aperture is noncircular, as often happens when an iris diaphragm is partly closed, the area A of the entrance pupil must be measured instead of its diameter D. The effective diameter D' of the entrance pupil will then be defined as lence, /number = !!_/./£. ^ (7) IV. DEFINITION OF T NUMBER In order to embody the lens transmittance and the area of the diairagm into a single figure which can be engraved on the lens, it is >posed to adopt a new term to be known as the "T number" of a