Narrow dispersion for desktop

Hey guys,

I have my desktop in a corner of my living room. Regularly I like to listen to music at my desktop while my family is watching TV. No more explanation needed, I think 🙄.
Is it possible to design speakers for my desktop with a very narrow dispersion pattern? I think about a 2.1 setup with small 2-way monitors next to my screen facing straight to my ears. Just to minimize the SPL spreading to the rest of the room.
Are there drivers with typical narrow dispersion or should I use kind of a horn? Any advice welcome!
 

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1) Use headphones.
2) Can you put sound deadening screens or panels around your desktop?
3) You could also make a slot horn type thingy but made out of BAF or similar that kills the sound at wide angles from the speaker(s).
4) Any true bass at any volume will be slightly more difficult to manage.