Yes, they use optics to determine heart rate instead of electrical signals. But there are two basic types, some with motion sensors and some without. The ones with motion sensors tend to cost a good bit more, but are more accurate for people who are exercising in a manner which swings their arms around a lot, since they detect that motion and compensate for it instead of attributing the movement to heart rate.So the wrist-only ones are more expensive then?
So if you're using it for more low-key activities (walking, sitting, standing), a wrist unit without any motion sensor should work fine, and be pretty decently priced. They get trashed regarding ratings because they really are not effective during real work-outs. But if no other problems are mentioned by reviewers, then that shouldn't be a problem for sedentary ME patients.
Costs for a wrist unit without a motion sensor seem to be US$50-150, whereas ones with a motion sensor are starting around $200. I got a Mio Alpha with motion sensor as a gift which was 150 euros (120 pounds on amazon.co.uk) - I love it, but wouldn't have been able to afford to buy it myself.