Curriculum · Ultrasound Physics & Instrumentation

Beams & The Five Resolutions

Near-field length (D²/4λ) and far-field divergence, and the five resolutions — axial, lateral, elevational, temporal, and contrast — with what improves each.

~30 min · level: foundation · SPI draft — pending clinical review

Learning objectives

  • Compute near-field length and describe far-field divergence.
  • Define all five resolutions and identify the dominant control for each.
  • Explain why lateral resolution is depth-dependent but axial resolution is not.

An unfocused beam first converges through the near field (Fresnel zone) to its narrowest point, then diverges in the far field (Fraunhofer zone). The near-field length and far-field divergence are:

NFL=D24λsinθdiv=1.22λD\text{NFL} = \frac{D^{2}}{4\lambda} \qquad\qquad \sin\theta_{\text{div}} = 1.22\,\frac{\lambda}{D}
D = aperture diameter. Larger aperture or higher frequency → longer near field and less divergence.
ResolutionWhat it isImproved byDepth-dependent?

Axial

Along the beam (SPL/2)

↑ frequency, shorter pulse

No

Lateral

Across beam, in plane (= beam width)

Focusing, ↑ frequency, larger aperture

Yes (best at focus)

Elevational

Slice thickness (out of plane)

Acoustic lens, 1.5D/matrix arrays

Yes

Temporal

Resolving motion in time

↑ frame rate

Contrast

Distinguishing similar echogenicities

Harmonics, compounding, dynamic range

The five resolutions.

Axial resolution (SPL/2) is the finest and is depth-independent — the pulse keeps its length. Lateral resolution equals the beam width, so it is best at the focus and degrades with depth; it is the resolution most directly improved by focusing. Elevational (slice-thickness) resolution is the out-of-plane beam thickness — poor elevational resolution causes partial-volume artifact (false echoes filling a cyst). Temporal resolution is governed by frame rate (critical in echocardiography). Contrast resolution is the ability to separate subtly different gray levels.

Key takeaways

  • Near-field length equals D-squared over 4-lambda (NFL = D²/4λ) and far-field divergence is sin theta = 1.22 lambda/D, so a larger aperture or higher frequency lengthens the near field and reduces divergence.
  • The beam is narrowest at the end of the near field, giving its best intrinsic lateral resolution, which is where the focal zone is placed.
  • Axial resolution equals SPL/2, is the finest resolution, and is depth-independent because the pulse keeps its length; it improves with higher frequency and a shorter pulse.
  • Lateral resolution equals beam width, so it is best at the focus and degrades with depth; it is most directly improved by focusing, plus higher frequency and a larger aperture.
  • Poor elevational (slice-thickness) resolution causes partial-volume artifact and pseudosludge in the gallbladder or bladder, and on a 1-D probe it is not fixed by the electronic focal zone but needs orthogonal re-scanning or a 1.5D/matrix array.

Check your understanding

Registry-style items with worked rationales.

1Which resolution is depth-independent?recall

2Lateral resolution is best improved by:application

3A larger transducer aperture diameter (D) will:analysis

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References

  1. Edelman SK. Understanding Ultrasound Physics. 4th ed. ESP Inc.; 2012.
  2. Kremkau FW. Sonography Principles and Instruments. 9th ed. Elsevier; 2016.
  3. Ultrasound Physics and Instrumentation. StatPearls, NCBI Bookshelf.