Solving by finite difference method

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SUMMARY

The discussion focuses on solving the potential inside a quadrupole ion trap using the finite difference method. The user has three hyperbolic electrodes, with one as a ring and two as endcap electrodes, having potentials of v and 0, respectively. Key challenges include understanding how truncating the shape affects the governing equations for unshaped materials and determining the node magnitudes on the truncated line. The suggestion provided is to assume a uniform field as a boundary condition if the field remains close to uniform.

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a_hoseni110
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hi;
I have 3 hyperbolic electrodes ,one as a ring and 2 others as endcap
electrodes which have potential v and 0 respectively.(quadrupole ion trap)
I want to solve potential inside the trap by finite difference method.

I don't know how general equations for unshaped materials will change , If I truncate my shape .
I don't know how to determine the magnitude of nodes which are on truncated line or exactly before that?

please help me
thanks a lot
 
Physics news on Phys.org
Where do you truncate your shape?
If the field is not too far away from uniform, you can assume a uniform field (in direction of the border) as boundary condition.
 

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