Suing an agency for refusing to pay the fees of provided services

I am an individual working in Dubai and photography is my hobby/passion.

I did a time-lapse project for a person here in Dubai. He owns a free zone company and also works with different media agencies in Dubai.

My 3 movie clips from that time-lapse project are being used in a documentary running in 1 airline (I watched while travelling through that airline).

I never had any signed agreement. It was all mutual understanding and all conversations happened through emails.

Now, after knowing my time-lapse clips already been used in airlines without paying me anything, I have been following up with this person for the last 1 year. He's not paying me my money.

I even tried to approach the airline and the response I got from them is "Airline already paid the agency hired to get that job".

What does the UAE law say in this case and if as an individual I can sue the airline or how can I get my money?

Any help or advice will be very much appreciated.

Thanks.