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docs/nodes/MFM Analysis.md
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# MFM Analysis
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Magnetic Force Microscopy analysis: convert between MFM phase/force gradient and magnetic field quantities using Fourier-domain transfer functions. Equivalent to Gwyddion's mfm_*.c modules.
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## Inputs
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| Name | Type | Required | Description |
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|------|------|----------|-------------|
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| field | DATA_FIELD | Yes | Input MFM data (phase, force gradient, or field) |
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## Outputs
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| Name | Type | Description |
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|------|------|-------------|
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| result | DATA_FIELD | Converted MFM quantity |
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## Controls
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| Name | Type | Default | Description |
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|------|------|---------|-------------|
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| operation | dropdown | phase_to_force_gradient | Conversion: phase_to_force_gradient, force_gradient_to_field, charge_density, magnetisation |
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| lift_height | FLOAT | 50e-9 | Tip-sample separation in metres |
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## Notes
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- **phase_to_force_gradient**: Convert MFM phase shift to force gradient using the cantilever spring constant relationship.
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- **force_gradient_to_field**: Recover the magnetic field from force gradient data via Fourier-domain deconvolution. Output unit: A/m.
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- **charge_density**: Compute effective magnetic charge density. Output unit: A/m².
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- **magnetisation**: Recover magnetisation from field data.
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- All operations use the lift height to set the correct spatial frequency transfer function.
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