MPI Field-Free Point Visualiser

[1] SPION Ensemble & Langevin

Magnetization M(H)

M(H) = M_s · L(ξ) = M_s·[coth(ξ) − 1/ξ],
ξ = μ₀ m H / k_BT

Core diameter d25 nm Applied field H+0.0 mT M / M_s0.000 dM/dH (χ)0.00 RegimeLINEAR

Linear (FFP) Saturated

[2] Field-Free Point Scan Trajectory

Trajectory

Lissajous Raster Cartesian

FFP: (0.0, 0.0) mm

[3] Drive Field & Particle Response (time)

A_drive20 mT Grad G2.5 T/m dM/dt peak0.000 SNR-- dB

[4] Induced Voltage Harmonic Spectrum (FFT)

A₁ (f₀)0.00 A₃ (3f₀)0.00 A₅ (5f₀)0.00

[5] Reconstructed Tracer Density

← Recon c(x) Ground truth ρ(x) →

Solver

X-space Kaczmarz (ART) Tikhonov

λ 0.015

[6] Scanner Control & Physics

Drive field

Amplitude A_d 20.0

Frequency f₀ 25.0

Selection field

Gradient G 2.50

Core d (nm) 25

Temperature 300 K

Scan

Speed 60

Noise σ 0.008

Scanner status

Acquisition-- pts Frame0 / ∞ t_sim0.0 ms K (sys mat)— cond(A)—

DRIVE ACQ CAL

u(t) = −μ₀·∫_V p(r)·∂M/∂t dr
s_k = ∫ S(k, r) · c(r) dr → c = A⁺s

Ready.

MPI — Gleich & Weizenecker 2005 · first human scanner 2019 (UKE Hamburg)

Made by Kaiza Chernavesnov