Coplanar waveguide may not yet have any working formulae

There is a design calculator on the Rogers microwave materials website, that does microstrip, stripline and coplanar.

Also look at

https://www.microwaves101.com/encyclopedias/coplanar-waveguide

Coplanar waveguide can feed a monopole, just a coaxial cable can. I'm not sure what you mean by a monopole patch antenna. Usually a patch antenna is microstrip, and not a monopole, but two dipoles (one at either end of the patch). A monopole usually sticks up above or beyond a ground. The coplanar guide can be in this ground and feed any monopole above the ground, or continuing past the end of the ground. The edge of the ground can also be shaped to help match the antenna.

A microstrip patch can be fed through a slot from a coplanar waveguide below the ground-plane.

Dear Colleague,

hope this will help

https://www.mdpi.com/1996-1944/13/1/142

All the best

Md Siam Talukder , Kindly go through the papers

Article CPW-Fed Planar Printed Monopole Antenna With Impedance Bandw...

Article A Very Compact Ultrawideband Printed Omnidirectional Monopole Antenna

Dear Dr. Rahul,

Your answer are very useful.

All the best

Actually monopole antenna patch could be at the same metal layer as CPW is.

Physics behind is odd and even mode excitation for EM field and current...

Hello,

Few papers are attached. Kindly go through for clear the doubts.

Thanks,

Dear Prof Smrity,

These papers are excellent, informative work and good references.