Selected Tables, Charts And Formulas for the Student Cinematographer - 61

61

Formulas
B y R . Evans Wetmore. P. E. ASC Associate Member

1 Lens Formulas
The formulas given in this section are sufficiently accurate
to solve most practical problems encountered in cinematography. Many of the equations, however, are approximations or
simplifications of very complex optical relationships. Therefore,
shooting tests should always be considered when using these
formulas, especially in critical situations.

1.1 Hyperfocal Distance
The hyperfocal distance (H) is the focus distance setting of a lens
where all obj ects from half the focus distance setting through infinity are in acceptable focus. Acceptable focus is characterized by a
parameter called the circle of confusion (Cc). The lens aperture
setting and the circle of confusion affect the hyperfocal distance.
The formula for hyperfocal distance is:
2

F
H = fC
c

(1)

where F = focal length of lens
f = f-stop of lens
Cc = circle of confusion
All values in this and the following equations must be in the
same units, e.g., millimeters, inches, etc. For instance, when using a
circle of confusion value measured in inches, the lens focal length
must be in inches, and the resulting answer will be in inches. (N ote:
f-stop has no dimensions and so is not affected by the type of units
used.)
As mentioned above, the circle of confusion characterizes the
degree of acceptable focus. The smaller the circle of confusion is
the higher the resulting image sharpness. For practical purposes
the following values have been used in computing depth of field
and hyperfocal distances in this manual:
1
35mm photography = 0.001 inch ( 1000
inch) or 0.025mm
16mm photography = 0.0005 inch (

5
10,000

inch) or 0.013mm



Selected Tables, Charts And Formulas for the Student Cinematographer

Table of Contents for the Digital Edition of Selected Tables, Charts And Formulas for the Student Cinematographer

Table of Contents
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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