DOF

Here you can see how you can achieve the same DOF on different sensor sizes by choosing appropriate lenses .

DOF equations taken from wikipedia. I have used http://www.dofmaster.com/equations.html initially but they produce almost the same result. I'm using wikipedia because you can see how equations are derived and what it means.

While sliders have limits you can type anything to text fields.

Focus distance: m.
Object size: m.
Map size: m.
Show all: Check this box if you want to see FOV and DOF for each sensor separately.
Lock all sensors: All sensors will change focal length and f-number required to display the same FOV and/or DOF.
Third stops: f-number slider notched to third-stop intervals.

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Sensor: Full Frame CoC=0.03
Focal length: mm
f-number: f/
Position: m.
Near limit: m.
Far limit: m.
Depth: m.

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Sensor: APS-C 1.5x CoC=0.02
Focal length: mm
f-number: f/
Position: m.
Near limit: m.
Far limit: m.
Depth: m.

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Sensor: m4/3 2.0x CoC=0.015
Focal length: mm
f-number: f/
Position: m.
Near limit: m.
Far limit: m.
Depth: m.

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Sensor: Medium format 0.5x CoC=0.06
Focal length: mm
f-number: f/
Position: m.
Near limit: m.
Far limit: m.
Depth: m.

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You might find these videos interesting as well Crop Factor with ISO & Aperture and Crop Sensors vs Full Frame :: Crop Or Crap?

This is open source project under MIT license: https://bitbucket.org/Dalius/dofvisualize. Do whatever you want with it.

Visualization of DOF