request for material on active s-param and grating lobes relations to beam steering

[yefj]

Hello, i a trying to design a 1D phased array there are two consepts which i am lacking material about

1.when we set the distance between elements there is some surface wave velocity (which is similar to C)
How do i find this wave velocity
2.How active S-parameters(F-parameters in CST) linked to realised gain of the antenna?
1-gamma comes from regular s-parameters not from F-parameters.
Thanks.

 

[PlanarMetamaterials]

1.when we set the distance between elements there is some surface wave velocity (which is similar to C)
How do i find this wave velocity

To answer your first question,

The SW velocity can be computed numerically by using solvers such as HFSS. Personally, I would prefer an eigenmode simulation of a piece of bare dielectric -- this gives you the dispersive properties of the various modes over a wide range of frequencies. Otherwise, you could simply try to extract it from TM01-SW-mode equations, such as those found in Pozar.

For most applications, this velocity is sufficiently close to that of light.

 

[yefj]

Hello, this is very interesting and very new to me .
1. Could you please help me with Pointing into pozar , what chapter section is the most relevant for me ?

2. I am using CST it has also Eigen mode solver . Why are you using only for dielectric peace and not whole transmission line .
I’ll be also very glad if you have some basic manual which find the phase velocity of SW?
Thanks.

 

[PlanarMetamaterials]

1. In my version of Pozar (3rd edition), it's section 3.6, page 131, Surface waves on a grounded dielectric slab. You can calculate velocity as 2*pi*frequency/Beta.

2. You said you were looking for surface-wave properties, not the properties of any transmission-line modes?