Cleaning inside of halogen cooker lid

Hello. Just bought a halogen cooker. Everything is fine but does anyone have any tips on how to clean the metal inside the lid? I mean the grill type bit that gets the fat splash back. I know you've gotta be careful as the halogen bulb is near it. Thanks for your help!

This is a link to the sort of thing I mean

farm4.staticflickr.com/393…jpg