Apple - How do I share a chrome tab via AirDrop?

Open the 'File' menu in Chrome, choose 'Share', then 'AirDrop'.

The easiest solution that requires no 3rd party software:

1. Open AirDrop in finder.
2. Drag the current page from Chrome (via the bookmark/lock icon) on to the device in the AirDrop window.

This will send a .webloc file that opens up in Mobile Safari just as intended.