Hi. I'm Steve. I'm sorry to hear about your TV. I will try my best to give you a precise and accurate answer.
Yes, as you have discovered, modern TVs only have digital audio outputs. Therefore in order to use headphones, you will need to somehow convert it to analog.
A lot of my customers have purchased this device from Amazon: http://www.amazon.com/D3-Digital-Converter-Optical-Toslink/dp/B005K2TXMO/ref=dp_cp_ob_e_title_0
This converts the digital signal from the TV to analog.
Now...you still may need a headphone amplifier. Amazon sells those too: http://www.amazon.com/Pyle-Pro-PHA40-4-Channel-Headphone-Amplifier/dp/B003M8NVFS/ref=sr_1_5?s=electronics&ie=UTF8&qid=1342189871&sr=1-5&keywords=headphone+amplifier
So, plug the converter into the TV, plug the headphone amp into the converter and plug the headphone transmitter into the amp.
That should work for you.
I'll be here if you need more help.
Please rate my service. Remember, anything less than 3 stars will result in me not being compensated today for my time, knowledge and advice. We can still continue afterwards.
Ok, do you have the model number of the TV so that I can pull a manual? It should be on a label on the rear somewhere.
Let me know. I think we're almost there.
That won't work.
You can't convert HDMI which is digital, to RCA which is analog in a cable.
Did you find out the model number of the TV? I can help you - promise. I just need that info.
Ok, here is a sketch of the back of the TV: http://screencast.com/t/qiDllZjz5
The highlighted jack is where you will get your sound from. It is not an optical jack, it is what is called 'coaxial' but is actually just a plain old RCA jack.
My original answer to you applies. The digital to analog box can accept either an optical or a coaxial (RCA) cable. See this photo: http://screencast.com/t/r58v6Yw4e
That HDMI jack on the TV, by the way is an input not an output.
You are most welcome.
Stop by anytime :)