I've been through the "explaining" phase of trying to help my spouse, who cares a lot about my ability to do my job, and yet is a prolific interrupter, "get it". It hasn't worked for me. It leads to bitterness and arguments.
The healthy solution: If you need peace and quiet to concentrate, like me, get yourself your own space. Start going to a different room to concentrate, or a co-working space (if you work from home). Depending on your job, you might only need a certain percentage of the day for solid concentration.