ErrorFields - FEATURE - Add the linear correctability requirement per correction array

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@logan-nc 已经在做这个了。

开始于 2026年9月26日。

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Plan for the second ErrorFields follow-up after the current stack (#449 … #462, #473) merges into develop, independent of the scan-controls issue and branched from develop.

What exists is the NTV-limited version of the correction question (correction_current, max_correctable_overlap, efc_current_curve, residual_spectrum in NTVLimits.jl). The pure linear requirement, which moves the stack from "assess the error field" to "design the correction", is missing, and every primitive for it is present: source and array spectra travel on CoilOverlap.spectrum; the complex current per array is −δ_source/δ_array per kAt; optimal phasing is phasing_map with the source held fixed; the per-surface residual is rc.C · (b̃_source + Σ_k I_k b̃_k).

Add correction_requirement(ctx, source, arrays; mode=1) (~60 lines, no new physics) returning, per correction array, the complex current in kAt that cancels the dominant-mode overlap of the source, the cosine similarity of the array's spectrum to the source's (how much of the source each array can see), the optimum relative phasing of two or three arrays with the source fixed, and the residual resonant field on each rational surface, Φ_res(ψ), with the source alone and after the correction. File and in-memory entry points as the rest of the module.

Ship its plots in the same PR: the required current and residual per array as bars; Φ_res(ψ) before and after correction against ψ of the rational surfaces (steppre convention); and the phasing map of the requirement reusing plot_phasing_map.

Tests on the Solovev two-hoop fixture: the required current cancels the overlap to round-off; a source equal to an array needs exactly −1 kAt per kAt of it; the residual on every surface after correcting with the full set of arrays is bounded by the non-resonant remainder residual_spectrum gives; the phasing optimum agrees with extreme_phasing. Harness unchanged. Review package on the DIII-D-like example with the C-coil as the array and a tilted F coil as the source.

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