Barlow Magnification Calculator Formula

Understand the math behind the barlow magnification calculator. Each variable explained with a worked example.

Formulas Used

Effective Focal Length

eff_focal = focal_length * barlow_factor

Effective f-Ratio

eff_fratio = native_fratio * barlow_factor

Variables

VariableDescriptionDefault
focal_lengthNative Focal Length(mm)1000
native_fratioNative f-Ratio10
barlow_factorBarlow Magnification(x)2

How It Works

Barlow Lens Effect

A Barlow lens is a diverging lens placed before the focal plane that increases the effective focal length.

Formulas

f_eff = f * B N_eff = N * B

where B is the Barlow magnification factor (commonly 2x or 3x).

This narrows the FOV and increases the image scale, useful for planetary and lunar imaging.

Worked Example

1000 mm f/10 scope with a 2x Barlow.

focal_length = 1000native_fratio = 10barlow_factor = 2
  1. 01f_eff = 1000 * 2 = 2000 mm
  2. 02N_eff = 10 * 2 = f/20

Ready to run the numbers?

Open Barlow Magnification Calculator