Olympus E-M5 III has a
20.0MP Four Thirds (17.4 x 13 mm ) sized MOS sensor and features TruePic VIII processor. On the other hand, Panasonic GH2 has a
16.0MP Four Thirds (17.3 x 13 mm ) sized CMOS sensor and features Venus Engine FHD processor.
Below you can see the E-M5 Mark III and GH2 sensor size comparison.
Sensor Size and Resolution Comparison image of Olympus E-M5 III and Panasonic GH2 Cameras
Olympus E-M5 III and Panasonic GH2 have almost the same sensor size, so neither of them has any significant advantage over the other in terms of providing control over depth of field when used with the same focal length and aperture.
Sensor size sets the circle of confusion, so it drives how much depth of field each
of these bodies gives you at a given aperture. You can calculate it exactly for the
Olympus E-M5 III
or the
Panasonic GH2 ,
including hyperfocal distance.