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About this calculation: inputs, formula and confidence

Which spacer thickness do I need?

Balance adapters, filters and camera depth against required back-focus.

Exact geometry

Formula

e = Bᵣₑq − Σdᵢ

Required spacer equals specified back-focus minus installed component depth.

Where to find the inputs

  • Required back-focusReducer/flattener manual
  • Component depthsAdapter drawings
  • Filter correctionCamera mechanical drawing

Related

Reducer & Barlow →Sensor Tilt →Autofocus Planning →

Back-focus Spacing

Build the imaging train to the right depth.

Add the optical thicknesses between the reference shoulder and sensor, then account for the first-order focus shift introduced by a filter.

Purpose and method

What this calculator does

Which spacer thickness do I need? Balance adapters, filters and camera depth against required back-focus.

In words: Required spacer equals specified back-focus minus installed component depth.

Mechanical sensor depth, accessory thicknesses and the reducer or flattener's specified back-focus are not part of the optical equipment profile, so they must be measured or read from drawings.

Working geometry

Mechanical back-focus stack

Adapters, filter hardware and camera depth fill the distance from reference shoulder to sensor.

shouldersensorcomponent depths + spacer

Mechanical stack

Spacing inputs

Measure each item along the optical axis from shoulder to shoulder.

Unit: mm
Unit: mm
Unit: mm
Unit: mm
Unit: mm
Unit: mm
Unit: mm
Unit: n

1.5 is a useful estimate when the glass specification is unknown.

Calculated now

Required spacing

Add 0.17 mm of spacing.

Corrected target
55.67 mm
Installed train
55.50 mm
Required spacer
13.17 mm
Spacing error
-0.17 mm
Filter allowance
0.67 mm

Equations

Filter focus allowance
c=t⁢(1−1n)
Required spacer length
Lspacer=(Bnominal+c)−Lfixed

Manufacturer back-focus values and tolerances take precedence. Filter shift is a first-order paraxial estimate; tilt, thread engagement, shoulder placement, and wavelength can change the practical setting. Negative required spacer means the fixed train is already too long.