Mixing
Axial Green’s function
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Which is the solution of the Poisson equation in axial symmetric coordinates (r,phi,z)?
I would like to know the potential generated in the point (r_f,phi_f,z_f) by a circular loop (the source) placed in (r_s,phi_s,z_s,).
Of course the solution would be independent by the coordinate phi and will diverge when r_f=r_s and z_f=z_s.
I also know that the solution can be written in terms of complete elliptic integrals of first and second kind.
greens-function poissons-equation
asked Feb 2 at 17:00
riccardo torchioriccardo torchio
236
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add a comment |
$begingroup$
Which is the solution of the Poisson equation in axial symmetric coordinates (r,phi,z)?
I would like to know the potential generated in the point (r_f,phi_f,z_f) by a circular loop (the source) placed in (r_s,phi_s,z_s,).
Of course the solution would be independent by the coordinate phi and will diverge when r_f=r_s and z_f=z_s.
I also know that the solution can be written in terms of complete elliptic integrals of first and second kind.
greens-function poissons-equation
asked Feb 2 at 17:00
riccardo torchioriccardo torchio
236
$endgroup$
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This will probably help you: farside.ph.utexas.edu/teaching/jk1/lectures/node37.html Applying this to the source term $delta(r-r_s,z-z_s)$ would probably do the trick
$endgroup$
– whpowell96
Feb 2 at 17:18
add a comment |
$begingroup$
Which is the solution of the Poisson equation in axial symmetric coordinates (r,phi,z)?
I would like to know the potential generated in the point (r_f,phi_f,z_f) by a circular loop (the source) placed in (r_s,phi_s,z_s,).
Of course the solution would be independent by the coordinate phi and will diverge when r_f=r_s and z_f=z_s.
I also know that the solution can be written in terms of complete elliptic integrals of first and second kind.
greens-function poissons-equation
asked Feb 2 at 17:00
riccardo torchioriccardo torchio
236
$endgroup$
Which is the solution of the Poisson equation in axial symmetric coordinates (r,phi,z)?
I would like to know the potential generated in the point (r_f,phi_f,z_f) by a circular loop (the source) placed in (r_s,phi_s,z_s,).
Of course the solution would be independent by the coordinate phi and will diverge when r_f=r_s and z_f=z_s.
I also know that the solution can be written in terms of complete elliptic integrals of first and second kind.
greens-function poissons-equation
greens-function poissons-equation
asked Feb 2 at 17:00
riccardo torchioriccardo torchio
236
asked Feb 2 at 17:00
riccardo torchioriccardo torchio
236
asked Feb 2 at 17:00
riccardo torchioriccardo torchio
236
asked Feb 2 at 17:00
riccardo torchioriccardo torchio
236
asked Feb 2 at 17:00
riccardo torchioriccardo torchio
236
236
$begingroup$
This will probably help you: farside.ph.utexas.edu/teaching/jk1/lectures/node37.html Applying this to the source term $delta(r-r_s,z-z_s)$ would probably do the trick
$endgroup$
– whpowell96
Feb 2 at 17:18
add a comment |
$begingroup$
This will probably help you: farside.ph.utexas.edu/teaching/jk1/lectures/node37.html Applying this to the source term $delta(r-r_s,z-z_s)$ would probably do the trick
$endgroup$
– whpowell96
Feb 2 at 17:18
$begingroup$
This will probably help you: farside.ph.utexas.edu/teaching/jk1/lectures/node37.html Applying this to the source term $delta(r-r_s,z-z_s)$ would probably do the trick
$endgroup$
– whpowell96
Feb 2 at 17:18
$begingroup$
This will probably help you: farside.ph.utexas.edu/teaching/jk1/lectures/node37.html Applying this to the source term $delta(r-r_s,z-z_s)$ would probably do the trick
$endgroup$
– whpowell96
Feb 2 at 17:18
add a comment |
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$begingroup$
This will probably help you: farside.ph.utexas.edu/teaching/jk1/lectures/node37.html Applying this to the source term $delta(r-r_s,z-z_s)$ would probably do the trick
$endgroup$
– whpowell96
Feb 2 at 17:18