Ultrasound Imaging Simulator: Pulse-Echo Physics & B-Mode Resolution

simulator intermediate ~10 min
Loading simulation...
Δax = 0.154 mm — 5 MHz axial resolution

A 5 MHz transducer in soft tissue (c = 1540 m/s) has a wavelength of 0.308 mm and an axial resolution of 0.154 mm. At 10 cm depth with α = 0.5 dB/cm/MHz, the round-trip attenuation is 50 dB.

Formula

λ = c / f (wavelength in tissue, c ≈ 1540 m/s)
R = ((Z₂ − Z₁) / (Z₂ + Z₁))² (reflection coefficient)
Attenuation = 2 × α × f × d (round-trip loss in dB)

Sound Meets Tissue

Ultrasound imaging sends mechanical pressure waves into the body at frequencies far above human hearing. In soft tissue, sound travels at approximately 1540 m/s — a value remarkably consistent across muscle, liver, and fat. When a pulse crosses a boundary between tissues of different acoustic impedance (density times sound speed), part of the energy reflects. The time delay of each returning echo encodes the depth of the reflecting interface.

Resolution vs Penetration

The fundamental trade-off in ultrasound is frequency versus depth. A 15 MHz linear probe resolves structures as small as 0.05 mm but penetrates only 3-4 cm — ideal for superficial tendons and thyroid nodules. A 2 MHz curvilinear probe reaches 20+ cm into the abdomen but with resolution limited to ~0.4 mm. Attenuation in tissue scales linearly with both frequency and depth, following the rule of thumb: 0.5 dB/cm/MHz.

Acoustic Impedance & Reflection

The reflection coefficient at an interface depends on the impedance mismatch. Soft tissue boundaries reflect 1-5% of incident energy — enough for imaging while allowing the beam to continue deeper. Tissue-bone interfaces reflect over 40%, and tissue-air interfaces reflect nearly 100%. This is why gel is essential between probe and skin — eliminating the air gap — and why ultrasound struggles with lungs and bones.

B-Mode Display

In B-mode (brightness mode), each echo is plotted as a bright dot at the corresponding depth along the scan line. Sweeping or steering the beam across a region builds a 2D cross-sectional image in real time — typically 30-100 frames per second. This simulator shows how changing frequency and depth alters the resolution limit and penetration, helping you understand the physical parameters behind every clinical ultrasound image.

FAQ

How does ultrasound imaging work?

A transducer emits short pulses of high-frequency sound (1-20 MHz) into the body. When pulses encounter interfaces between tissues of different acoustic impedance, part of the energy reflects back. The transducer detects these echoes, and the round-trip time determines depth. Brightness of each pixel encodes echo strength — this is B-mode imaging.

What determines ultrasound resolution?

Axial resolution (along the beam) equals half the pulse wavelength, so higher frequency means finer resolution. Lateral resolution depends on beam width, which is controlled by focusing and aperture size. The trade-off: higher frequency improves resolution but increases attenuation, limiting penetration depth.

Why can't ultrasound image through bone or air?

Bone and air have vastly different acoustic impedances from soft tissue. The large impedance mismatch reflects nearly all ultrasound energy at the interface, preventing penetration. This is why ultrasound cannot image the brain through the skull (except through fontanelles in neonates) or lungs.

Is ultrasound safe?

Diagnostic ultrasound at standard clinical intensities has no confirmed biological hazards, making it the safest imaging modality. It uses no ionizing radiation, enabling unlimited repeat examinations. It is the primary imaging tool for obstetrics and fetal monitoring.

Sources

Embed

<iframe src="https://homo-deus.com/lab/biomedical-imaging/ultrasound-imaging/embed" width="100%" height="400" frameborder="0"></iframe>
View source on GitHub