Physics engine readyLOCAL PHYSICS MODEL
Experimental engineering / imaging physics

A magnetic resonance lab, in your hand.

Explore a conceptual handheld wrist scanner in 3D. Tune its fields, excite proton spins, encode space with magnetic gradients, receive a simulated spin echo, and reconstruct a synthetic MRI slice from genuine sampled Fourier data.

CONCEPT · NOT A MEDICAL DEVICE
Physically grounded teaching model. A diagnostic-quality handheld MRI is not demonstrated here.
01   /   3D SCANNER ASSEMBLY
MAGNET / CROSS-SECTIONDRAG TO ORBIT
B₀ field / permanent magnet
Orbit to inspect. Choose a component to isolate its function.
Wrist-sized field of view
Geometry is conceptual; not to scale

What's inside the probe?

A magnet must create a stable static field. Gradient coils add position-dependent field changes. A radiofrequency coil excites and detects nuclear magnetization. These are separate jobs.

Selected subsystem

Permanent magnet array

This clamp-style wrist probe is speculative. Producing a usable, sufficiently homogeneous imaging field and adequate receive sensitivity in a truly handheld form is a major unsolved design challenge.

Control the spin-echo experiment

The following controls feed a simplified spin-echo signal model and 2D Cartesian k-space acquisition—not merely a visual filter.

20 mT300 mT

Image limitations

Ready. Choose Acquire scan to sample k-space and reconstruct a synthetic wrist slice.

What would a real device require?

MRI is not a camera. Shrinking the coils also shrinks the sensitive volume, while fields, interference, heat, vibration, RF exposure and reconstruction remain demanding.

◉Static field B₀

Permanent magnet geometry, magnet gap, field mapping, shielding and high homogeneity across the target volume.

≈Shim system

Passive/active compensation for magnet imperfections, temperature changes and sample-dependent field shifts.

⊞3 gradient axes

Current drivers, calibrated coil fields, spatial encoding and limits on heating, acoustic noise and nerve stimulation.

◌RF transmit / receive

Tuned coil, transmit pulses, decoupling, low-noise amplifier, receiver protection and impedance matching.

⌁Clock + ADC

RF reference oscillator, coherent quadrature detection, signal filtering and synchronized analog-to-digital conversion.

▣Reconstruction

Fourier transform plus optional sensitivity correction, field correction, motion mitigation and robust image quality checks.

◇RF noise control

Receiver bandwidth, cable isolation, local shielding, interference cancellation and sensor coupling.

⚠Patient safety

Ferromagnetic screening, implanted devices, RF heating/SAR, gradient exposure, electrical safety and clinical validation.

Reality check

The handheld barrier

Your chosen image resolution, field stability and RF sensitivity determine the main trade-offs.

No hardware compliance, safety certification, magnet layout validation or clinically reliable imaging is established by this simulator. It is not an engineering construction specification.
Proton Larmor frequency
3.406 MHz
f₀ = 42.577 MHz/T × B₀
B₁ for 90° RF pulse
5.87 µT
α = γB₁τ
In-plane pixel
1.25 mm
FOV / matrix; not a promise of resolution
Ideal scan duration
1m 23s
Nphase × TR × averages
Illustrative image SNR
~18
Relative model, not a clinical SNR estimate
02   /   RAW K-SPACE → RECONSTRUCTED IMAGE
0 / 64 PHASE LINES
Measured Fourier domainlog magnitude
Inverse 2D FFTsynthetic wrist
No sampled data yet. Open Pulse sequence → Acquire scan.
0%

The image is generated from a synthetic proton-density / T₁ / T₂ wrist phantom, forward Fourier-transformed into complex k-space, sampled row by row with noise and artifacts, then inverse Fourier-transformed. No patient data and no real RF acquisition.

03   /   SPIN ECHO + TIMING
90° — 180° — ECHO
Equations in this model
f₀ = (γ / 2π) B₀  ·  γ / 2π = 42.577 MHz/T
α = γ B₁ τ
Sᵢ ≈ ρᵢ(1 − exp(−TR/T₁ᵢ)) exp(−TE/T₂ᵢ)
s(kₓ,kᵧ) = ∫∫ S(x,y)e⁻ⁱ²π⁽ᵏˣˣ⁺ᵏʸʸ⁾ dx dy
I(x,y) = 𝓕⁻¹{s(kₓ,kᵧ)}

Tissue signal formula assumes an ideal 90°/180° spin-echo sequence; RF slice profiles, real coil field maps, true noise covariance, relaxation heterogeneity and system calibration are deliberately simplified.

04   /   HOW A MAGNETIC RESONANCE IMAGE EXISTSFIVE PHYSICAL STAGES
01 / B₀

Align

A small excess of hydrogen nuclear moments aligns with the static field, creating net magnetization.

02 / B₁

Excite

RF at the Larmor frequency tips magnetization away from B₀; spins precess coherently.

03 / Gx, Gy, Gz

Encode

Applied magnetic gradients make precession frequency and phase depend on spatial position.

04 / RX

Detect

Transverse magnetization induces a tiny voltage in a tuned receiver coil; a 180° pulse creates a spin echo.

05 / FFT

Reconstruct

Phase-encoded k-space samples are inverted by a Fourier transform into spatial contrast.

05   /   ENGINEERING NOTES + REFERENCESPHYSICS VS PROTOTYPE

MRI relies on nuclear magnetic resonance (NMR), not ionizing radiation. A static field and RF pulse alone measure an aggregate resonance signal. Imaging requires spatial encoding and reconstruction. Low-field and portable MRI exist, but the magnet, stable field over the desired field of view, noise isolation and receive coils can still require systems weighing hundreds of kilograms. This illustrated clamp is a design thought experiment for a very small target, not a proven MRI product.

Handheld MRI Physics Lab — FIELDNOTE

Explore a conceptual handheld MRI in 3D. Adjust spin-echo and spatial-encoding controls, then reconstruct a synthetic image from sampled Fourier data.

What this models

This interactive physics lab demonstrates a conceptual handheld wrist scanner, proton spin behavior, a simplified spin-echo sequence, spatial encoding, and reconstruction of a synthetic MRI slice from sampled Fourier data.

When to use it

Use it to explore how magnetic-field and pulse-sequence parameters affect a simplified signal and image reconstruction, or to inspect the conceptual scanner assembly and sequence stages.

Who this is for

Students, educators, and technical readers learning introductory magnetic-resonance and imaging-physics concepts. It is a teaching simulator, not a diagnostic tool or medical device.

How to use it

  1. Inspect the probe assembly and toggle the tissue, magnet, gradient, RF coil, field, and spin views.
  2. Adjust B₀ field, repetition time (TR), echo time (TE), readout gradient, RF pulse width, image matrix, field of view, and signal averages.
  3. Explore B₀ inhomogeneity, motion artifact, playback speed, and coil-to-tissue gap.
  4. Select Acquire scan and follow the pulse sequence, sampled data, and synthetic reconstruction. Pause or clear the view as needed.

Inputs and outputs

Controls include field strength, sequence timing, gradient and RF settings, matrix size, field of view, averages, inhomogeneity, motion, and coil gap. Outputs include a simulated spin-echo signal, sampled spatial-frequency data, and a synthetic 64 × 64 image.

Important limitations

The lab does not demonstrate a diagnostic-quality handheld MRI. It establishes no hardware compliance, safety certification, validated magnet layout, or clinically reliable imaging, and it is not a construction specification. It does not replace medical advice or an actual MRI system.

Network and data

The physics calculations and reconstruction run in the page without a remote MRI service. The page also uses the site's standard Google Analytics page-view tag when online. Settings are not saved across reloads.

Frequently asked questions

Can this scan or diagnose a person?

No. It generates a synthetic teaching image and is not a medical device or diagnostic-quality scanner.

Is this the same as the other Handheld MRI page?

No. This physics lab is a separate page with its own spin-echo, spatial-encoding, and Fourier-reconstruction controls.

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