How to warp to create this effect

[Charlie329572228uvx]

I am trying to warp the image from the purple to the green. I have been playing with Arc, cylinder and bulge in warp but none of them are quite right. Is there a preset that will give me the intended effect or do I need to create a custom shape?

[Semaphoric]

What's wrong with Bulge with a negativew Bend value?