@Yossi_Steinberger
Unfortunately, I am still not understanding what you are trying to do. Keep in mind, I am a modest optical engineer with limited time to help (for free).
With that in mind, I’ll give you a few tips and recommendation and perhaps that can get you started.
When we (optical engineers) place optical components we either have control over the optomechanics and we can insure accurate placement by design. Or we rely on alignment. However, there are thing we cannot easily do by alignment. Placing two lenses at an arbitrary distance away from one another is a difficult thing. There are a multitude of tricks we use to align components, one of them is to rely on the fact that if a beam is decently focused in the back focal plane of a lens, it comes our collimated on the other side. It is relatively easy to check that a beam is collimated by looking at how it propagates over long distances. If the beam diameter changes a lot as it propagates, then it is not collimated.
In the case of the Ti2, you will have to rely on alignment as it is unlikely that we will get the internal drawing of this microscope. Therefore, it is important to come up with a strategy for alignment. In your case, you write that you want a 70-um diameter illumination field. Assuming you use a “regular” scientific camera, this illumination field should be fairly visible in the field of view of the camera. As such, you could perhaps measure it from images acquired by the microscope.
Next is the question of how to generate such an illumination field. You write that you want critical illumination. I am not going to question this choice. In other words, I think what you want is an image of the fiber core, scaled, such that its diameter is 70um. If you were to put a 200-mm lens in the back port in a 4f configuration (what I did actually), then you would be in the same case as your detection path and for an illumination field of 70um, you would have to have an intermediate image of your core that is 100X larger, or 7000um = 7mm. Why am I suggesting this? It is simply for ease of alignment. When you send a collimated beam in a 4f system, it comes out collimated, if the 4f is aligned correctly, and as I said before, it is relatively easy to check collimation.
Now the next question is how to expand your original 400-um core diameter to 7mm. There you will need to expand by 7000/400 = 17.5X. At this point, you are getting out of the Ti2 and you have more control over the optomechanics. You could try to expand with a single lens, maybe a 20X finite conjugate objective. For example, if you take this lens (I am not affiliated with MKS Newport):
This lens will create a 20X image of your core, so 400x20 = 8000um = 8mm diameter. This image is then demagnified by the tube lens and objective lens (your 100X) by a factor 100, leading to a diameter of 8000/100 = 80um.
Keep in mind, these are back-of-the-envelope calculation. Best would be to perform further simulations.
Take care,
Omni