I went around these problems a lot of times, trying different cables, boxes and bios configurations.
In the end, I found that
http://www.easeus.com/backup-software/tb-free.html fixed the problem - just ignore the Samsung software until it works again.
I did a sector by sector copy (may not have been necessary, but I wanted to make sure it worked).
For Windows 10, I found that in addition to this I had to make sure my BIOS was set to force AHCI mode - just making it optional didn't work.
So far this has worked on Samsung Chronus and Sony Vaio laptops (mine and my wife's).
ps - I have absolutely nothing to do with this company, I just got fed up with waiting for a version of Magician or Data Migration that worked all of the time (and the above software works free, although I suspect the paid version might be quicker)