# Can we draw analogy between em power flow through free space and ac power flow through a transmission line?

Knowing that the free space has a characteristic impedance (which is purely resistive, measured in ohms) I was wondering if I can model the free space as an infinitely long transmission line- comprised of distributed inductors and capacitors.

We know, a lossless transmission line model of infinite length supplied by an AC source at one terminal looks:

If we consider the direction of changing electric field across the capacitance (say X axis) and that of changing magnetic field inside the inductance (say Y axis), we find the poynting vector directing outward of the plane of transmission line (Z axis)-- which seems weird, since power flow direction is certainly along Y axis.

However, if I adjust the orientation of the inductors in following way:

It seems that the problem regarding to power flow direction is solved apparently. However, I am not still convinced with this depiction. Firstly, I have considered only the magnetic field inside the inductors. But H has a non zero curl, it ends upon itself. So if I take the total H field (around the inductor) into account, I end up with a zero power flow -- which is definitely not what is happening. Moreover, the power flow, irrespective of the orientation of inductors, must be along transmission line (not outward of the plane containing TX line).

At this point, I wonder where I am making mistakes. (i.e.- is it because I am ignoring current through the capacitor and electric field across the inductor? )Or is it a crap idea to model the free space as transmission line ?