Interference pattern given many which-path detectors?

[gendou2]

From: http://www.bottomlayer.com/bottom/basic_delayed_choice.htm

I refer to the above picture of the double slit experiment.
I wonder what you would get if you added a third detector 5_C in between 5_R and 5_L?
Presumably you would get zero detects, because when you check the which-path, the interference pattern is non existent.
Which is to say that all of the photons traveled in a strait line through either the right or left slit to land at 5_R or 5_L respectively.

What if you had many very tiny detectors in a grid?
Would an interference pattern emerge?
I say this because, the screen upon which the interference pattern is observed is made of molecules.
Each molecule acts as a sort of detector, changing it's properties when light hits it, correct?

Has anyone heard of an experiment done along this line, or know of a reason why not?

 

[Dmitry67]

It depends on the type of your detector.
If your detector detects position then you don't know what path and there is an interference pattern
If, like on the picture, you have tiny telescopes then you measure the momentum and there is no interference pattern.

If you have a mixture of detectors then nothing changes - 'telescopes' detect no interference pattern while other detectors detect it.

 

[gendou2]

Interesting. Thanks Dmitry67.