Can I prevent a search in one window from falling through to all windows

I have search highlighting turned on for Vim. If I have a terminal mode Vim split into different windows (displaying different files) and do a search in one, the search falls through to all the open windows and buffers and all occurrences of the search term are highlighted in all windows. Is it possible to restrict this to only the currently active window, with each window and buffer having its own effective search and highlighting?