I wish to use a waveguide to study the properties of a MENZ metamaterial, however i dont know how to incorporate the two because some papers write that the waveguide has certain inherent properties of a metamaterial? see link
Let me rephrase your problem to make sure I understand. You already have a MENZ metamaterial and you wish to characterize it. Most likely, you'd like to retrieve its effective properties. To do that you propose to use a waveguide.
If that's indeed what you're trying to do you might find the following reference useful (Open Access):
"Experimental retrieval of the effective parameters of metamaterials based on a waveguide method", Optics Express