Creating a waving surface based on multiple curves

Hi there,

I am attempting to figure out how to create a model that is basically a wave pattern. Here’s my vision: The first attached image is of lines I created in Illustrator and converted to .svg for use in blender, either just as a stencil or to work with directly. I would like to create this pattern in a wave like the second image; in the first attached image: the first line would be a peak, the second line a valley… and so on. Is there a way to combine the curves to form a surface without converting them into a mesh (I was not able to get the mesh to behave the way I need it to)? Thank you in advance for your help!



Join the curves to one object, convert to mesh, edit mode, select all, W -> bridge edge loops