thank you all for the replies to this thread,
when i next travel to the usa i will ask my doc to give me extra drops and put them in my checked bag, then if they open the ones in my carry on i will be able to tell them to put them in the bin as i will not be using them.

this from tsa site

You must request a visual inspection before the screening process begins; otherwise your medications and supplies will undergo X-ray inspection.
If you would like to take advantage of this option, please have your medication and associated supplies separated from your other property in a separate pouch/bag when you approach the Security Officer at the walk-through metal detector.
Request the visual inspection and hand your medication pouch/bag to the Security Officer.
In order to prevent contamination or damage to medication and associated supplies and/or fragile medical materials, you will be asked at the security checkpoint to display, handle, and repack your own medication and associated supplies during the visual inspection process.Any medication and/or associated supplies that cannot be cleared visually must be submitted for X-ray screening. If you refuse, you will not be permitted to carry your medications and related supplies into the sterile area.
my bold
reading the tsa web site they are wrong to open any medication themselves