coaxial exciting coils

Hello

I hope I correctly post this discussion.
the problem is: I have a coil on a metal cylinder with two bottom open. this coil are excited by a circuit that is sending data in 100 khz rate.
also I have another coil inside the metal cylinder that is connected to a receiver circuit.
What kind of software I should use for modeling and analysis?
how to I should find the best values for L of coils?
can you suggest me some related document?

note: I'm electrical engineer and familiar with electromagnetic theories.

thanks for your help of any kind

<a title="coil.png" href="../imgqa/eboard/EM/EM-djdy50tu2ge.png"><img src="../imgqa/eboard/EM/EM-mp4v0hsbecu.jpg" alt="coil.png" /></a>

http://obrazki.elektroda.pl/1831477300_1390765629.png

So you know that the metal cylinder is shorting the field of the coil and the coupling between both coils will be very low?

It's an axisymmetrical AC-magnetic problem. It can be solved e.g. with Quickfield or FastHenry.

thanks for your help FvM. it was very beneficial.
I know that the field will attenuate sharply. anyway I should design, analysis and make this structure.
Also the inside coil will move linearly on cylinder axis.
Can these software model moving part like what I have?

"Moving" isn't but changing the coupling continuously, I think. You can calculate it for a number of positions and interpolate between the solutions.