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Optics configuration for a 7.9 mm diagonal sensor

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Hello! I’m quite new to digital microscopy and I can’t figure out how to incorperate a camera with a larger sensor into the openflexure microscope:

I’ve been using the Arducam 12MP camera which uses an IMX477 sensor with a diagonal of 7.9 mm compared to the picamera 2 (IMX219) 4.6 mm sensor. I find that the image quality and color balance is far better than the picamera 2 and I want to incorporate it into the open flexure microscope.

In my setup, I use a 40x semi-plano objective lens, a 12.5mm dia, 50mm FL doublet tube lens from edmund optics, and the 12MP arducam camera.

My question is: What tube length do I need to achieve optimal image quality and magnification? Using the calculations on the assembly instructions (Assembly Instructions) using my 7.9 mm diagonal sensor I get a133 mm focal length, this seems counter-intuitive to me as if I have a bigger sensor, shouldn’t I put it closer to the tube lens as it can detect a larger amount of the light cone the lens is projecting? Also, in testing this tube length on a test bed microscope I’ve made, I can’t get the image to focus at this FL, in fact, any FL above around 90 mm won’t focus correctly.

I know I’ve done something wrong in my calcualtions but I can’t for the life of my figure it out!

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