Parametric Acoustic Array (Audio Spotlight) Statistics (2026): 55+ Data Points on Beam Directivity, Distortion, and Ultrasound Exposure

Parametric array statistics 2026: a 40 kHz audio spotlight measured 118 dB of ultrasound at 3.5 m, at least 17 dB over the public limit; beams can be 3 degrees wide.

A generic commercial parametric array measured 118 dB of 40 kHz ultrasound at 3.5 meters, at least 17 dB above the general-public guideline it was checked against (Dolder et al., Proceedings of ICA 2019). The same class of device can squeeze audible sound into a beam only 3 degrees wide (Pompei, JASA 1999), but it turns generally less than 0.15% of its ultrasonic power into audible sound (Li et al., JASA 2023), and its output drops by about 12 dB every time the audio frequency halves (Zhong, Kirby and Qiu, JASA 2020). That trade-off, a tight beam bought with a lot of inaudible energy, defines the technology. We aggregated data from the Journal of the Acoustical Society of America, the APSIPA Transactions on Signal and Information Processing, Health Canada, ICNIRP, MDPI Applied Sciences and Sensors, Nature Communications, and manufacturer documentation, which we label as vendor claims. For the factory side of ultrasound exposure, see our industrial ultrasonic noise exposure statistics.

TL;DR

  • Westervelt’s 1963 “Parametric Acoustic Array” paper has 812 citations in Crossref as of October 2026 (Crossref metadata for JASA vol. 35, 1963).
  • Carrier frequencies in the devices reviewed here span 27 kHz to 90 kHz (Aoki, Kamakura and Kumamoto 1991; Ahn et al., Sensors 2019).
  • Pompei cut distortion from up to 50% THD to 5% while keeping a 3 degree beam (JASA 1999).
  • Beamwidth can double in a hot, humid climate compared with a cold, dry one (Shi, Kajikawa and Gan, APSIPA 2014).
  • Audible output falls about 12 dB each time the audio frequency halves (Zhong, Kirby and Qiu, JASA 2020).
  • Conversion efficiency from ultrasound to audio is generally below 0.15% (Li et al., JASA 2023).
  • Single-sideband modulation kept distortion below the 5% (-26 dB) threshold over the working range, while plain double-sideband stayed above -20 dB (San Martin et al., Applied Sciences 2020).
  • Health Canada allows 110 dB in the 25 to 50 kHz third-octave bands (Safety Code 24, 1991).
  • A commercial unit measured 118 dB in the 40 kHz band at 3.5 m, exceeding the ICNIRP public guideline by at least 17 dB (Dolder et al., ICA 2019).
  • Nine listeners exposed to 40 kHz ultrasound at up to 120 dB showed no significant hearing changes versus controls (Carcagno et al., Acta Acustica 2019).

1. From a 1963 Theory to the Audio Spotlight: How the Parametric Array Grew

A parametric array is a way of making sound with sound. Instead of moving air directly at audio frequencies, the loudspeaker emits an inaudible ultrasonic beam (the “carrier”) whose strength is shaped by the audio signal. Air does not respond perfectly in proportion at such high pressures (it is “nonlinear”), so as the beam travels, a small part of the ultrasound is converted back into audible sound, a process called self-demodulation. The column of air in front of the device behaves like a long, invisible loudspeaker array, which is what keeps the audible sound narrow.

The idea took 20 years to move from theory (1963) to a loudspeaker (1983), and another 17 years to reach a commercial product (2000, according to the vendor). Westervelt’s 1963 paper is still the field’s anchor, with 812 citations in Crossref, more than double the 287 citations of the 1983 “audio spotlight” paper that first proposed the loudspeaker (Crossref metadata, read October 2026). Holosonics, which sells the Audio Spotlight brand, says that Japanese electronics companies tried and nearly abandoned commercial versions by the end of the 1980s; that is the company’s own history, not an independent record.

MetricValueSource
Original parametric acoustic array paper1963, JASA vol. 35, pp. 535 to 537; 812 Crossref citationsWestervelt, JASA 1963
Theory of self-demodulation of a modulated ultrasonic beam1965Berktay 1965, as listed in Shi, Kajikawa and Gan, APSIPA 2014
First published parametric array in air1975, JASA vol. 57, pp. 562 to 568; 112 Crossref citationsBennett and Blackstock, JASA 1975
First parametric loudspeaker (“the audio spotlight”)1983, JASA vol. 73, pp. 1532 to 1536; 287 Crossref citationsYoneyama et al., JASA 1983
Early research prototype: projector radius and carrier21 cm radius, 27 kHz carrierAoki, Kamakura and Kumamoto, Electronics and Communications in Japan 1991
Commercial Audio Spotlight systems in use since2000Holosonics company history (vendor claim)
Newest peer-reviewed design in this roundupPublished May 22, 2026, 60 kHz carrier, 100 mm plateKim, Oh, Moon and Rho, Nature Communications 2026

Most recent available data for the historical rows is necessarily old: these are the founding papers. Citation counts are a snapshot of Crossref on October 27, 2026 and grow every month.

2. Carrier Frequencies: From 27 kHz Prototypes to 90 kHz MEMS Arrays

The carrier frequency is a compromise. It has to sit well above the upper limit of human hearing: the median upper hearing limit is 17.9 kHz for people aged 20 to 29 and falls to 12.8 kHz for people aged 70 to 79 (Lawton 2001, as tabulated in AGNIR, Health Effects of Exposure to Ultrasound and Infrasound, 2010). But air attenuates sound roughly with the square of frequency (Skinner, Groves and Hinders, Applied Acoustics 2019), and the AGNIR report says ultrasound above about 300 kHz essentially does not propagate through air. The usable window is therefore narrow. 40 kHz is the most common research carrier, and the 2026 Nature Communications paper names the Murata MA40S4S, an off-the-shelf element fixed at 40 kHz, as its example of the emitters used in array loudspeakers.

Moving the carrier upward shrinks the hardware. At 100 kHz the wavelength is only 3.43 mm, which is what let a Korean team fit 672 micro-machined transducers into a 42 mm by 52 mm radiating area for a phone-sized prototype (Ahn et al., Sensors 2019).

MetricValueSource
Carrier of an early research parametric loudspeaker27 kHzAoki, Kamakura and Kumamoto 1991
Carrier used in the directivity-control examples, with lower and upper sidebands (the extra frequencies that carry the audio)40 kHz; lower sideband 39 to 28 kHz, upper sideband 41 to 52 kHzShi, Kajikawa and Gan, APSIPA 2014
Two primary tones in a length-limited array simulation (0.3 m aperture radius)47.5 kHz and 52.5 kHzSkinner, Groves and Hinders, Applied Acoustics 2019
Design carrier of a metamaterial parametric speaker60 kHzKim et al., Nature Communications 2026
Carrier measured on a 0.6 m by 0.6 m parametric panel64 kHzZhong, Kirby and Qiu, JASA 2020
Carrier stated for the Holosonics AS-24iX film transducerAbout 60 kHz (vendor claim)Holosonics AS-24iX product page 2026
Measured resonances of a MEMS array built for mobile devices83 kHz and 90 kHzAhn et al., Sensors 2019
Frequency above which ultrasound effectively stops propagating in airAbout 300 kHzAGNIR RCE-14, 2010

The 64 kHz independent measurement and the roughly 60 kHz figure in the vendor documentation are consistent, which suggests that larger film-transducer panels have moved above the classic 40 kHz point. The same 40 kHz arrays are also the workhorse of acoustic levitation, covered in our acoustic levitation statistics.

3. Beam Width and Directivity: How Narrow Is the Spotlight?

Directivity is the reason anyone accepts the drawbacks. Because the audible sound is generated along the ultrasonic beam, its width is set mainly by the ultrasonic aperture and wavelength rather than by the much longer audio wavelength. Pompei’s 2002 MIT thesis describes the parametric array as giving much higher directivity than traditional loudspeakers of similar size, and the APSIPA overview adds that it can transmit an equally narrow beam with a smaller driving unit. Pompei reported a 3 degree beamwidth in 1999, and even a palm-sized MEMS array kept its half-power beamwidth (the angle within which the level stays within 3 dB of the on-axis value) near 7 degrees from 5 to 10 kHz.

Two caveats matter for real rooms. Beamwidth depends on weather: the APSIPA authors found it can double in a hot, humid climate compared with a cold, dry one, while staying almost constant for relative humidity between 40% and 80%. And sound leaks backward: in the 0.6 m panel measured by Zhong and colleagues, the region behind the device where the 315 Hz level exceeded 35 dB was roughly circular with a radius of about 1.3 m.

MetricValueSource
Beamwidth of a low-distortion airborne parametric array3 degreesPompei, JASA 1999
Half-power beamwidth of a MEMS parametric array at its 83 and 90 kHz carriersAbout 6 degreesAhn et al., Sensors 2019
Half-power beamwidth of the same array for audible sound at 5 kHz and at 10 kHz7.3 degrees and 7.1 degreesAhn et al., Sensors 2019
Null-to-null beamwidth (angle between the first silent directions) of an 8-channel, 40 kHz parametric array40 degreesShi, Kajikawa and Gan, APSIPA 2014
Change in beamwidth, hot and humid climate vs cold and dry climateCan doubleShi, Kajikawa and Gan, APSIPA 2014
Audible level at 315 Hz, 0.1 m behind the panel vs 1.0 m in front45 dB vs about 61.4 dBZhong, Kirby and Qiu, JASA 2020
Beam stated for the Holosonics AS-24iX5 degrees; 1.5 m by 1.5 m at a typical listening distance of 2 m (vendor claim)Holosonics AS-24iX product page 2026

The front-to-back gap in the Zhong row works out to about 16 dB (61.4 minus 45), a figure the paper does not state itself. Treat the vendor beam row with care: a full 5 degree cone at 2 m would be only about 0.17 m wide (2 x 2 m x tan 2.5 degrees), so the 5 degree and 1.5 m figures on the same page cannot describe the same edge of the beam (see the Data watch note).

4. Audible Output, Low-Frequency Roll-Off, and Conversion Efficiency

The physics that makes the beam narrow also starves the bass. Theory and measurements agree on a slope of about 12 dB per octave: halve the audio frequency and you lose roughly 12 dB of output, which is why parametric speakers sound thin below a few hundred hertz. The efficiency picture is even starker. Li and colleagues calculated that audio sound power rises with the square of the audio frequency and with aperture size, falls as the ultrasonic frequency goes up, and that the ultrasound-to-audio conversion efficiency is generally below 0.15% for typical configurations (Li, Zhong, Jing and Lu, JASA 2023).

That is why power draw, not loudness, dominates engineering papers. The Korean MEMS team cut its system’s consumption from 6.65 W to 3.25 W with a matching circuit, against the 65 to 100 W nominal it cites for conventional parametric loudspeakers, yet it still produced only about 62 dB of audible sound at 0.45 m.

MetricValueSource
Measured rise in audible output between 300 and 1500 Hz (40 kHz array)About 12 dB per octaveSan Martin, Tello, Valencia and Marzo, Applied Sciences 2020
Drop in audible output when the audio frequency is halved12 dBZhong, Kirby and Qiu, JASA 2020
Ultrasound-to-audio conversion efficiency, typical configurationsGenerally below 0.15%Li et al., JASA 2023
Audible (difference-frequency) level from a 125 dB ultrasonic primary wave, MEMS array, 0.45 mAbout 62 dBAhn et al., Sensors 2019
Audible level at the ear of an artificial head, parametric speaker vs conventional speaker, set for a listening test72.3 dBA vs 72.4 dBALee, Shimomura and Katsuura, Journal of Physiological Anthropology 2012
Audible band of the 2026 metamaterial design, aimed at a listener 0.5 m away500 Hz to 10 kHz (four octaves)Kim et al., Nature Communications 2026
Maximum level stated for the Holosonics AS-24iX95 dB SPL at 1 kHz; 90 W maximum power draw (vendor claim)Holosonics AS-24iX product page 2026

The Nature Communications authors are candid that their prototype’s level is “relatively limited” compared with conventional loudspeakers and blame the “inherently low nonlinear conversion efficiency”. Better transducers have not changed the underlying physics.

5. Harmonic Distortion and Preprocessing: From 50% THD to Single-Digit Figures

Self-demodulation in air is itself a nonlinear process, so feeding a parametric array plain amplitude modulation gives the loudest output but also a strong second harmonic. Engineers fight this by preprocessing the audio before modulation: taking its square root (square-root AM, SRAM), sending only one sideband (single-sideband AM, SSB), or using modified schemes (MAM). The modulation index, written m, is how deeply the audio varies the carrier; deeper modulation is louder but more distorted. Pompei showed in 1999 that pure AM with narrow-band transducers produced up to 50% total harmonic distortion (THD), and that preprocessing plus wideband transducers brought it down to 5%.

Hardware still limits the math. The 49-transducer, 16 mm array tested in 2020 peaked at 40.9 kHz with a -3 dB bandwidth of only 1.5 kHz, a narrow window for the extra frequencies that preprocessing schemes add to the carrier. The same team noted that carrier levels above 120 dB are common even 2 m from such arrays, enough to overload ordinary measurement microphones; for comparison with conventional small drivers, see our smartphone speaker distortion statistics.

MetricValueSource
THD with pure AM and narrow-band transducers vs after audio preprocessing and wideband transducersUp to 50% vs 5%Pompei, JASA 1999
Distortion level treated as generally acceptable for domestic equipmentBelow -26 dB (5%)San Martin et al., Applied Sciences 2020
Distortion with plain double-sideband AMAbove -20 dB across virtually the whole rangeSan Martin et al., Applied Sciences 2020
Single-sideband AM (lower or upper sideband)Below the -26 dB threshold across the working rangeSan Martin et al., Applied Sciences 2020
Audible level given up by the recommended scheme (modified AM 1, m = 0.6)2 dBSan Martin et al., Applied Sciences 2020
Residual in-band distortion after recursive equalization, in simulation-70 dB or lowerLee and Gan, IEEE Transactions on Audio, Speech and Language Processing 2006

There is no single winner. In the 2020 study, single-sideband schemes had the lowest harmonic distortion but the worst intermodulation distortion (distortion created when two tones mix), while square-root and modified AM did best on intermodulation. Harmonics above the second were negligible in every scheme. Most recent available data for the 50% and 5% figures: Pompei, JASA 1999.

6. Airborne Ultrasound Exposure Limits: What the Guidelines Allow

A parametric speaker works only if its ultrasound is intense, so its exposure rules matter more than for any ordinary loudspeaker. Limits are set per third-octave band, a slice of the spectrum one third of an octave wide, named by its center frequency. The striking feature is the cliff at 20 to 25 kHz: Health Canada allows 75 dB in the 20 kHz band but 110 dB from 25 kHz upward, and its table notes that subjective effects can occur immediately, so the limits do not depend on exposure time (Health Canada, Safety Code 24, 1991).

These numbers are old and thinly supported, and their authors’ successors say so. In its 2024 review, ICNIRP concluded that the 1984 IRPA limits rest on limited evidence and could be either too high or too low, but that formal revision must wait for more research (ICNIRP statement on airborne ultrasound, 2024).

MetricValueSource
Canadian limit, 16 kHz and 20 kHz third-octave bands75 dBHealth Canada Safety Code 24, 1991
Canadian limit, 25, 31.5, 40 and 50 kHz third-octave bands110 dBHealth Canada Safety Code 24, 1991
Canadian total sound pressure level limit for other body parts when ear protection is worn137 dBHealth Canada Safety Code 24, 1991
IRPA 1984 general-public limit, 20 kHz band70 dB (5 dB below the occupational 75 dB)ICNIRP statement 2024
IRPA 1984 general-public limit, 25 kHz band and above10 dB below the occupational 110 dB (100 dB)ICNIRP statement 2024
IRPA allowance for occupational exposure under 1 hour+9 dB (ICNIRP says it lacks justification)ICNIRP statement 2024
Ultrasonic levels not demonstrated to cause hearing lossBelow 120 dBHealth Canada Safety Code 24, 1991
Level above which acute harmful effects occur in humansApproximately 155 dBHealth Canada Safety Code 24, 1991

OSHA’s guidance, in place since 2004, allowed an extra 30 dB on maximum permissible levels; it has since been dropped (Acoustics Today, Fall 2020, Exposure to Ultrasound in Air). Most recent available data: Health Canada Safety Code 24, 1991, and IRPA interim guidelines, 1984, as reviewed by ICNIRP in 2024.

7. Measured Exposures and Human Studies Near Ultrasonic Beams

A published laboratory audit of a commercial parametric array is not reassuring. Measuring on axis at 3.5 m in an anechoic chamber (a room with no echoes; see our anechoic chamber testing statistics), Dolder and colleagues found 118 dB in the 40 kHz band, above every guideline they compared. Turning the gain down cut the audible A-weighted output by 10 dB but the 40 kHz pump signal by only 1 dB, so a quieter-sounding beam is not necessarily a lower ultrasound exposure (Dolder et al., ICA 2019).

The human data are small and mostly null. A 2019 study exposed one ear of nine young listeners to 40 kHz ultrasound at up to 120 dB and found no significant functional change compared with nine controls (Carcagno, Di Battista and Plack, Acta Acustica united with Acustica 2019), and a nine-subject physiological study at 0.3 m and 1.0 m from a 40 kHz parametric speaker found no significant difference from a conventional speaker. Hearing sensitivity is the wild card: ICNIRP notes that 40% of children tested had thresholds below 100 dB at 26 kHz.

MetricValueSource
Ultrasound in the 40 kHz band at 3.5 m from a commercial parametric array, high gain vs low gain118 dB vs 117 dBDolder et al., ICA 2019
Exceedance of the ICNIRP general-public guideline at 40 kHzAt least 17 dB (18 dB at high gain)Dolder et al., ICA 2019
Exceedance of the ICNIRP occupational and OSHA-based values at 40 kHz, high gain8 dB and 3 dBDolder et al., ICA 2019
Ultrasound from haptic feedback arrays at about 40 kHz, at 60 cm and at 20 cm (for comparison)125 dB and 155 dBBattista 2019 and Lieber et al. 2019, as tabulated in Acoustics Today, Fall 2020
Sources measured in a public-exposure survey; level of a hand dryer at 40 kHz16 sources; 84 dBFletcher et al., JASA 2018
Exposure study design: 40 kHz amplitude-modulated tone, levels and duration105, 110, 115 and 120 dB, 10 minutes per level; 9 exposed vs 9 controls; no significant changesCarcagno et al., Acta Acustica 2019
Physiological study near a 40 kHz parametric speaker: subjects and distances9 subjects at 0.3 m and 1.0 m; no significant difference vs a conventional speakerLee, Shimomura and Katsuura 2012
Ultrasonic hearing thresholds cited by ICNIRP88 dB or higher at 24 kHz; 3 of 32 ears below 100 dB at 28 kHz; 40% of children below 100 dB at 26 kHzICNIRP statement 2024

The Dolder test covers one generic unit under laboratory conditions; it does not establish what a listener at a museum exhibit receives. The AGNIR report put the wider gap plainly: human exposures to ultrasound have not been well quantified except for those from medical devices. Most recent available data: Dolder et al., 2019, and Carcagno et al., 2019.

Summary: Parametric Acoustic Arrays by the Numbers

MetricValueSource
Crossref citations of Westervelt’s 1963 parametric array paper812Crossref, JASA 1963
First parametric loudspeaker paper (“the audio spotlight”)1983Yoneyama et al., JASA 1983
Range of carrier frequencies in the devices reviewed here27 kHz to 90 kHzAoki et al. 1991; Ahn et al., Sensors 2019
Carrier measured on a 0.6 m by 0.6 m panel64 kHzZhong, Kirby and Qiu, JASA 2020
Beamwidth of a low-distortion parametric array3 degreesPompei, JASA 1999
Null-to-null beamwidth of an 8-channel, 40 kHz parametric array40 degreesShi, Kajikawa and Gan, APSIPA 2014
Beamwidth change, hot and humid vs cold and dryCan doubleShi, Kajikawa and Gan, APSIPA 2014
Loss in audible output per halving of audio frequencyAbout 12 dBZhong, Kirby and Qiu, JASA 2020
Ultrasound-to-audio conversion efficiencyGenerally below 0.15%Li et al., JASA 2023
Audible level from a 125 dB primary wave at 0.45 mAbout 62 dBAhn et al., Sensors 2019
THD with pure AM and narrow-band transducers vs after preprocessingUp to 50% vs 5%Pompei, JASA 1999
Plain double-sideband AM distortionAbove -20 dBSan Martin et al., Applied Sciences 2020
Audible band of a 2026 metamaterial parametric speaker500 Hz to 10 kHzKim et al., Nature Communications 2026
Canadian limit, 25 to 50 kHz bands110 dBHealth Canada Safety Code 24, 1991
IRPA general-public limit, 20 kHz band70 dBICNIRP statement 2024
Measured ultrasound in the 40 kHz band at 3.5 m from a commercial unit; exceedance of the ICNIRP public guideline118 dB; at least 17 dBDolder et al., ICA 2019
Highest exposure level in a controlled 40 kHz hearing study (no significant changes)120 dBCarcagno et al., Acta Acustica 2019

Methodology and Sources

We ran 15 targeted searches and read the primary papers, standards and agency documents directly, through publisher pages, PubMed Central, institutional repositories and the Crossref and OpenAlex metadata services. Every figure above was read in a source during research for this update. Manufacturer figures are labeled as vendor claims and kept to a minority of each section.

Last updated: October 27, 2026. We update this roundup quarterly, and the next refresh is expected when ICNIRP publishes its next airborne ultrasound guidance or new JASA measurements of commercial parametric loudspeakers appear.

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