feat: implement magnetic dipole field calculation#3
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Summary
This PR implements the foundational physics layer for magnetic field simulation by adding the dipole field calculation function. This is a prerequisite for grid iteration and field line tracing.
Changes
See (#2)
Physics Implementation
The field$\mathbf{B}$ is calculated as:
$$\mathbf{B}(\mathbf{r}) = \frac{\mu_0}{4\pi} \cdot \frac{1}{r^3} [3(\mathbf{m} \cdot \hat{\mathbf{r}})\hat{\mathbf{r}} - \mathbf{m}]$$ $r = r_{obs} - r_{dipole}$ .
where
Verification Results
Automated Tests (GTest)
Constraints
1e-9units of a dipole are treated as being at the dipole center to avoid numerical instability.