How to hide fields from the lookup filter

Hi community,

I would need to show, on the lookup filter, only the fields that are proper to a section page. 

In other words, if I have many section pages for the same page, how can I hide all the fields in the filter lookup that are not related to the concerned section ?

For example, for the "Case" section page of the "Service" workplace, I have two sections. One for the after sales service and one for the customer service.

How can I hide all the fields in the filter lookup that aren't concerned by the related page ?

Many thanks,

Jonathan