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that shifts the film' s postition in the aperture can cause a deterioration of focus.
The following equation provides a good approximation of the
depth of focus of a lens:
Depth of Focus Ϸ
where
Ff
1000
F = focal length of lens (in mm)
f = f-stop of lens
(9)
Example: A 50 mm f/ 2.8 lens has the following depth of focus:
50 ϫ 2.8
= 0.14 mm = 0.0055 inch
1000
As this is the total depth of focus, the film must stay within plus or
minus half that value which is about ± 0.00275 inch or ± 0.07 mm.
This dimension is equal to the approximate value of a single strand
of human hair. This is a very small value indeed which further
amplifies the statement above about the need for precision in the
gate and aperture area of the camera.
1.4 Lens Viewing Angles
The angle, either horizonal or vertical, that a lens images onto
the film frame may be calculated using the following equation:
⍜ = 2 atan
where
ARs
2F
F = focal length of lens
A = camera aperture height or width
Rs = squeeze ratio (use 1.0 for spherical lenses
and Scope vertical and use 2.0 for Scope
horizontal) scope is anamorphic
⍜ = viewing angle
(10)
The inverse tangent (written as atan, arctan, or tan-1) can be found
with many pocket calculators. Alternately Table 1 relates atan to ⍜
Selected Tables, Charts And Formulas for the Student Cinematographer
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Selected Tables, Charts And Formulas for the Student Cinematographer - Cover1
Selected Tables, Charts And Formulas for the Student Cinematographer - Cover2
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Selected Tables, Charts And Formulas for the Student Cinematographer - Table of Contents
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Selected Tables, Charts And Formulas for the Student Cinematographer - Cover3
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