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About this calculation: inputs, formula and confidence

What does this reducer or Barlow do to my telescope?

Calculate how an ordered modifier train changes focal length and focal ratio.

Exact geometry

Formula

f = f₀ × ∏m

Multiply native focal length by every optical multiplier in path order.

Where to find the inputs

  • Native focal lengthEquipment profile
  • ApertureManufacturer spacing specification
  • Modifier multipliersManufacturer spacing specification

Related

Field of View →Back-focus Spacing →Resolution & Sampling →

Focal Reducer & Barlow Effects

See exactly what the glass changes.

Compare a native optical system with one reducer, field flattener, or Barlow factor. Every result updates locally as you change the factor.

Purpose and method

What this calculator does

What does this reducer or Barlow do to my telescope? Calculate how an ordered modifier train changes focal length and focal ratio.

In words: Multiply native focal length by every optical multiplier in path order.

The saved train supplies the native telescope, current optical multiplier, camera geometry and binning. Change the multiplier to compare another reducer or Barlow without altering the equipment bookmark.

Working geometry

Focal transformation

The ordered optical multiplier changes the converging cone before it reaches the sensor.

multiplier msensor

Inputs

Optical path

Enter the native telescope, sensor, and the modifier's dimensionless factor.

Unit: mm
Unit: mm
Unit: ×

Below 1× reduces focal length; above 1× increases it.

Unit: µm
Unit: mm
Unit: mm
Unit: ×

Calculated now

Native versus modified

The aperture stays fixed; the modifier changes effective focal length and everything derived from it.

Native focal length
1,000 mmf/5.0
Modified focal length
700 mmf/3.5
Native field
1.35° × 0.90°0.776″ / px
Modified field
1.92° × 1.29°1.108″ / px

What changed

Focal length changed by -30.0%; image scale changed by 42.9%. A reducer widens the field and increases arcseconds per pixel; a Barlow does the opposite.

Modified focal length
fmodified=fnative⁢m
Exact angular field
θ=2⁢atan(d2⁢f)

The calculator models the stated multiplier as ideal. Real reducers and Barlows can introduce aberration, vignetting, spacing sensitivity, and illumination changes.