natus, I think you will agree that your anecdotal experience does not prove that mobile phones prove no danger to aircraft.
It simply establishes that, as far as you are aware, there was no catastrophic result from any interference that may have occurred on that occasion, in your phone's location on board that flight, with that particular aircraft.
I see comments time and time again on here to the effect of "Well, I've left my phone on and not crashed", but this is hardly a rigorous approach to research.
The CAA have carried out huge levels of research into the subject. It is available on their website. Go look at it.
Whether you may think it is valid or not, they are the regulatory auithority in the UK. They say it is illegal and dangerous.
Airlines follow their advice on the subject. If people ignore the airlines' and their Captain's orders to switch off, they are breaking the law. That is why people have been prosecuted.