Model Solenoid: Best Method & Troubleshooting

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    Modeling Solenoid
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eigenstaytes
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What would be the best method to model a solenoid? I tried writing a program that calculated the off axis elements of the solenoid but the value came out wrong. Any idea?
 
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What do you mean by "off axis elements"?
 
I drew up a quick diagram to show what I mean.

7WEA4Ek.jpg

The on-axis elements (along the Z-axis which is located along the center of the solenoid) can be calculated via some method. Ampere's law possibly? However, what would I have to do to calculate the values which are not along the Z-axis?