Identify Shoulder Patch - WWII Polish Army under British Command

[jlarysz]

Can anyone identify this shoulder patch for me? It's a blow up from the only photograph I have of my father during WWII. He was Polish. He escaped from Poland after the invasion, signed up with the British Army in Haifa, and was placed initially in the Independent Carpathian Rifles. At some point he was transferred (or reorganised) to the 3 Carpathian Infantry. If I knew what unit this patch belongs to I can get closer to where and when the picture was taken.