Magnetic field outside a solenoid in 3D in terms of position

[aravindk87]

Magnetic field outside a solenoid in 3D(off axis)

Hey all,
I am modeling an inductive proximity sensor and require the formula for the magnetic field just outside a solenoid off axis. In terms of a particle's position.i.e.(x,y,z). I have searched a lot of places. But most of the results show it to be zero. Please help.

 

[pam]

The magnetic scalar potential, phi_m, for a single loop is given as a Legendre polynomial expansion in "Classical Electromagnetism" by Franklin.
This can be integrated to give the scalar potential for a solenoid.
Then B=-grad phi_m.
That is the simplest way, but it is quite complicated.