MRI PHYSICS FOUNDATIONS · LESSON 10

Gradients give signal an address.

See how controlled magnetic-field changes tell MRI where signal came from.

About 12 minutes3D address system3 knowledge checks
X
Y
Z
LOCATION
01EXPLAIN

FROM SIGNAL TO LOCATION

The receiver hears signal, but gradients identify its origin.

The main magnetic field B0 provides the strong background field. Gradient coils briefly add small, controlled changes to that field across position. Because Larmor frequency depends on magnetic-field strength, position can be encoded into frequency and phase.

The scanner has three physical gradient axes, X, Y, and Z. The system can assign them different logical jobs and combine them to create axial, sagittal, coronal, or oblique imaging planes.

IN PLAIN LANGUAGEGradients make magnetic field, and therefore precession behavior, slightly different from one location to another.
02VISUALIZE

THE THREE JOBS

Select, label, and read.

01Slice selection

A gradient makes resonance frequency vary across one direction. An RF frequency band excites the desired slice.

02Phase encoding

A brief gradient gives spins position-dependent phase shifts along one in-plane direction.

03Frequency encoding

A gradient applied during signal readout gives spins position-dependent frequencies along the other in-plane direction.

For a basic 2D acquisition, one direction selects the slice and two directions encode location within that slice. In 3D imaging, an additional phase-encoding direction helps localize signal through a volume.

03CONNECT

LOGICAL ROLES CAN MOVE

X, Y, and Z are hardware directions, not permanent jobs.

PHYSICAL AXESX · Y · Z

Three perpendicular gradient systems built into the scanner.

LOGICAL ROLESSlice · Phase · Frequency

Jobs assigned by the prescribed plane and sequence.

WHY THIS MATTERS

Changing the phase-encoding direction can redirect certain artifacts. Choosing slice orientation and encoding direction also affects anatomy coverage, resolution, flow behavior, and scan strategy.

04REMEMBER

THE THEATER-SEAT ANALOGY

Give every signal a three-part address.

Imagine finding someone in a theater. First choose the floor, then the row, then the seat. Slice selection chooses the imaging section. Phase encoding labels one direction within it. Frequency encoding labels the other.

Remember: Slice chooses. Phase labels. Frequency reads.

05APPLY

CHECK YOUR UNDERSTANDING

Match each gradient job to its purpose.

Why can gradients encode position?

They create controlled changes in magnetic-field strength across space. This produces position-dependent precession frequency and phase.

Which encoding gradient is active while the signal is being sampled?

The frequency-encoding gradient, also called the readout gradient.

Is the Z gradient always the slice-selection gradient?

No. X, Y, and Z are physical hardware axes. Logical slice, phase, and frequency roles can be reassigned or combined for the prescribed imaging plane.

LESSON 10 COMPLETE

You understand how gradients encode location.

Educational references

This lesson introduces Cartesian spatial encoding. Advanced methods may combine gradient, RF, and coil-sensitivity information in different ways.