Physica

07 MRI

Dwell time and readout duration

Δt = 1 / BW_full. T_read = N Δt. Longer readouts = more distortion and T2* decay.

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Simulation

Dwell time and readout duration — Change the numbers; the scene follows.

Where it works

MRI scanner

MRI scanner

RF coil

At the RF coil — flip angle, SAR, SNR, receive bandwidth, and the pulse sequence.

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Formula

Δt=1/BW,Tread=NΔt\Delta t=1/BW,\quad T_{\mathrm{read}}=N\Delta t

Variables

Results

  • Δt

    Dwell time

    20µs

  • T_read

    Readout duration

    5.12ms

Explanation

Δt=1/BW,Tread=NΔt\Delta t=1/BW,\quad T_{\mathrm{read}}=N\Delta t

What it means

Dwell time is the interval between ADC samples. A 50 kHz full bandwidth is a 20 μs dwell; 256 samples take 5.1 ms of readout. During those 5.1 ms the T2* clock is running (blurring) and off-resonance phase is accumulating (distortion, especially in EPI where the effective echo spacing in the phase-encode direction is much longer). This is a working relation in MRI physics.

Where it is used

Clinically it sits on the MRI scanner — RF coil. At the RF coil — flip angle, SAR, SNR, receive bandwidth, and the pulse sequence. MRI physics lives in the magnet, the gradient, and the voxel: Larmor, Ernst, diffusion, and SAR. These relations decide whether a sequence is possible, safe, and worth the time.

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How to use it

Enter full BW (kHz) and N. Read dwell in μs and readout window in ms. Pair with the pixel-bandwidth calculator for chemical shift. Change one input and watch the curve and the simulation follow.

Symbols

  • BWFull bandwidth50 kHz
  • NSamples256

Worked example

A typical case from the default values: BW = 50 kHz (Full bandwidth); N = 256 (Samples). Substituting into the relation gives Δt = 20 µs; T_read = 5.12 ms. These are teaching numbers — align them with your machine.

Typical values give

  • Δt = 20µs
  • T_read = 5.12ms

Where it comes from

The displayed formula is the working relation. Δt = 1 / BW_full. T_read = N Δt. Longer readouts = more distortion and T2* decay. Usual reference: McRobbie. Derive it in the specialty lesson, then return here to pin the numbers.

Reference: McRobbie

Assumptions & limits

Uniform sampling, no ramp sampling, no partial Fourier. EPI echo spacing is this dwell × (R_pe / echo-train undersampling) and is the number that predicts geometric distortion.

Pitfalls

γ for ¹H is not γ for ¹³C. Ernst angle needs the true T1 at that field, not a 1.5 T table used at 3 T. SAR scales with B₀² and flip² — a 3 T copy of a 1.5 T protocol is not automatically legal. Uniform sampling, no ramp sampling, no partial Fourier. EPI echo spacing is this dwell × (R_pe / echo-train undersampling) and is the number that predicts geometric distortion.

Keep this

Name the nucleus and the field before you quote a Larmor frequency. Uniform sampling, no ramp sampling, no partial Fourier. EPI echo spacing is this dwell × (R_pe / echo-train undersampling) and is the number that predicts geometric distortion.

In this specialty

MRI physics