mutual coupling sidelobes cross-polarization in microstrip phased arrays

Can someone explain the relationship between mutual coupling, sidelobes, and cross-polarization in the context of microstrip phased arrays?

Does S12 mutual coupling include only the co-polarization without accounting for cross-polarization coupling?

Does mutual coupling and/or cross-polarization coupling increase the sidelobes when scanning the array?

If I use techniques like dummy patches terminated with matched loads to lower the mutual coupling between array elements, will it lower the cross-polarization, as well?

What is the relationship between mutual coupling and cross-polarization?

What are the techniques to lower mutual coupling between array elements?

What are the techniques to lower cross-polarization in an array?


Thanks.