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How Handset Receivers Work: Pressure Fields, Acoustic Leakage and Ear-Simulator Testing

A handset receiver (earpiece) and a micro speaker are both moving-coil transducers built from the same parts: a magnet system, a voice coil and a diaphragm. The difference is that the receiver works pressed against the ear. Its diaphragm drives a small cavity of a few cubic centimetres formed by the ear canal and the pinna, not open air. That one fact explains why a receiver is loud on very little power, why its response has to be measured on an ear simulator, and why a call sounds thin when the phone is not held tightly to the ear. This article starts with the construction, then uses a pressure-field model and the Helmholtz resonator formula to quantify the low end, acoustic leakage and the high end, and finishes with the types of artificial ear and how receivers are measured.

  • ≈80 dBEar cavity versus open air at 1 m
  • 300 HzLow-frequency corner of a 0.3 mm2 leak
  • 8 NDefault 3GPP application force

1. Receivers and Speakers: Same Principle, Different Sound Fields

A phone usually contains two kinds of acoustic output device. The speaker at the bottom or side handles hands-free audio and ringtones, radiating into open space toward a listener tens of centimetres away. The receiver at the top handles calls: its sound port sits against the pinna and, together with the ear canal, forms an almost closed cavity. The speaker works in a free field; the receiver works in a pressure field. The two can be built in very similar ways, yet their design targets and test methods are entirely different.

AspectReceiver (earpiece)Micro speaker
How it is usedReceiver: sound port held against the earSpeaker: radiates into the room
Acoustic loadReceiver: small cavity of ear canal and pinna (pressure field)Speaker: open air (free field)
Where the response is flatReceiver: below resonance, where constant excursion gives constant pressureSpeaker: above resonance, where constant acceleration gives constant pressure
Response measurementReceiver: ear simulator or artificial earSpeaker: at a specified distance in an anechoic room
Drive power and excursionReceiver: low power, small excursionSpeaker: much higher power and excursion

Many recent phones also use the top receiver as one channel of a stereo speaker pair. The same part must then be smooth when held to the ear and still deliver enough level with low distortion in hands-free use, which makes the design considerably harder.

2. Construction: Magnet System, Diaphragm and the Two Cavities

Figure 1 shows a schematic cross-section of an inner-magnet receiver. A magnet carries a soft-iron top plate and sits inside a U-cup (yoke), leaving a narrow annular gap between the edge of the plate and the cup wall. The voice coil is bonded to the diaphragm and hangs in that gap. An audio current through the coil produces the force F = Bl · i, which moves the diaphragm back and forth.

Magnet Sound to ear Sound port Front cavity Diaphragm Frame Back cavity Voice coil Top plate U-cup (yoke) Damping mesh Schematic cross-section of an inner-magnet receiver; proportions are illustrative
Figure 1 Cross-section of an inner-magnet receiver (schematic). The voice coil hangs in the gap between the top plate and the U-cup; the front cavity and sound port lie ahead of the diaphragm, and the back cavity behind it vents through a damping mesh.
  • Diaphragm: usually a thermoformed composite film of PET, PEEK or similar materials, with a central dome and a surround. The surround geometry and film thickness set the compliance and hence the resonance frequency.
  • Front cavity and sound port: the small space between the diaphragm and the front cover, opening toward the ear through the sound port. Its volume and the port dimensions form a Helmholtz resonator that sets the upper end of the response (Section 5).
  • Back cavity and damping mesh: air behind the diaphragm passes through holes in the frame into a back cavity, which vents to the outside through a port covered with damping mesh. The trapped air acts as an extra spring, and the mesh adds acoustic resistance that flattens the resonance peak.
  • Racetrack magnets: the space at the top of a phone is narrow and thin. Stretching the magnet into a long racetrack shape fits more magnet material and a longer effective coil into that width. Wire-lead and spring-contact versions simply differ in how the part is connected electrically.

Why does the back cavity change the resonance? The compliance of the enclosed air, referred to the diaphragm, acts as an additional spring with stiffness:

Kb = ρc2Sd2 / Vb
f0 = (1/2π) · √((Kms + Kb) / Mms)

where ρc2 is the adiabatic bulk modulus of air, about 1.42 × 105 Pa at room conditions; Sd is the effective diaphragm area (m2); Vb is the back-cavity volume (m3); Kms is the stiffness of diaphragm and surround (N/m); and Mms is the moving mass (kg).

Example: a moving system with Sd = 40 mm2, Mms = 40 mg and Kms = 1000 N/m resonates at about 796 Hz on its own. In a 0.5 cm3 back cavity, Kb ≈ 454 N/m and the resonance rises to about 960 Hz. Shrink the cavity to 0.1 cm3 and Kb ≈ 2270 N/m, more than twice the diaphragm's own stiffness, pushing the resonance to about 1440 Hz. The smaller the back cavity, the stiffer the air spring, which is one reason bass is hard to achieve in very thin phones.

3. The Pressure Field: Why Contact with the Ear Is Enough

When a cavity is much smaller than the wavelength (about 8.6 cm at 4 kHz, while the ear canal and pinna span only a few centimetres), the pressure is nearly uniform throughout and the air is simply compressed and expanded as a whole. A volume displacement ΔV = Sdx produces a pressure of:

p = ρc2 · Sdx / V

where x is the diaphragm displacement (m), V is the cavity volume (m3) and p is the sound pressure (Pa). Frequency does not appear: constant excursion means constant pressure.

For comparison, the same diaphragm mounted in an infinite baffle and radiating into half-space produces, at distance r:

p = ρω2Sdx / (2πr)

where ρ is the density of air, about 1.2 kg/m3, and ω = 2πf. In a free field the pressure is proportional to the diaphragm acceleration ω2x.

Example: Sd = 40 mm2 and a peak excursion of 5 μm. Pushed into a 2 cm3 cavity, this gives a peak pressure of about 14.2 Pa, roughly 10 Pa RMS or 114 dB SPL. The same excursion at 1 kHz radiating into half-space gives only about 34.5 dB at 1 m, or 54.5 dB at 10 cm. The ear-coupled case is about 80 dB louder, which is why a receiver needs so little power and excursion.

The two equations also explain why receiver and speaker responses run in opposite directions. Below its resonance f0 a moving system is stiffness-controlled, so a constant force gives a roughly constant excursion; above f0 it is mass-controlled, the excursion falls as f−2 and the acceleration is constant. Therefore:

ReceiverPressure field

Flat below f0

Pressure follows excursion, so the response is flat below resonance and falls at about 12 dB per octave above it. The front-cavity resonance and damping are used to hold up the top end.

SpeakerFree field

Flat above f0

Pressure follows acceleration, so the response is flat above resonance and falls at about 12 dB per octave below it. That is why speakers aim for a low resonance frequency.

Caution: the pressure-field model assumes a sealed cavity much smaller than the wavelength. As the wavelength approaches the length of the ear canal, standing waves produce a resonance peak at the eardrum; and once the cavity leaks, the low-frequency rule of constant excursion, constant pressure no longer holds, which is the subject of the next section.

4. Leakage: When the Phone Is Not Sealed, the Bass Escapes

In real use there is almost always a gap between the phone and the pinna. The gap behaves like a short narrow tube: the air in it moves as a slug and acts as an acoustic mass, while viscous friction at the walls acts as an acoustic resistance. This leak sits in parallel with the compliance of the cavity. At low frequencies air has time to flow in and out through the gap, so no pressure builds up; at high frequencies the air slug cannot follow and the cavity behaves as if it were sealed again. The combination is a Helmholtz resonator with a corner frequency of:

fL = 1 / (2π√(MACA))
MA = ρl′ / A, CA = V / (ρc2)
fL = (c/2π) · √(A / (Vl′))

where A is the cross-sectional area of the leak (m2); l′ is its effective length including end corrections (m); V is the volume of the ear-side cavity (m3); c is the speed of sound, about 343 m/s; MA is the acoustic mass (kg/m4); and CA is the acoustic compliance (m3/Pa).

Example: a 2 cm3 cavity with a leak equivalent to a tube 5 mm long. With a cross-section of only 0.3 mm2, fL is already about 300 Hz; at 3 mm2 it is about 950 Hz. Figure 2 puts both leaks into a complete lumped-parameter model in which the moving system and the acoustic load are solved together:

Sealed Small leak 0.3 mm2 Large leak 3 mm2 100 200 500 1k 2k 5k 8k -30 -25 -20 -15 -10 -5 0 5 10 15 Frequency f / Hz Relative SPL / dB f0 ≈ 1200 Hz Large leak: bass lost Mass-controlled: −12 dB/octave
Figure 2 Effect of leakage on receiver response (example parameters: Sd = 40 mm2, Mms = 40 mg, 2 cm3 ear-side cavity, leak paths 5 mm long with 0.3 mm2 and 3 mm2 cross-sections, leak resonance Q = 1; 0 dB = sealed at 100 Hz; front-cavity resonance not included).
  • A leak has little effect above fL but causes a steadily growing loss below it. When the leak is mainly resistive, the low end falls at about 6 dB per octave; when it is mainly mass-like, the slope approaches 12 dB per octave.
  • Near fL the leak mass resonates with the cavity compliance, so the pressure is actually slightly higher than in the sealed case.
  • With the large leak, the level at 100 Hz is about 19 dB below the sealed case, heard as a thin, harsh voice. How tightly the phone is held varies from person to person and with grip, so the bass of the same phone varies a great deal between users.

There are two ways to deal with leakage. The first is leak-tolerant design: the receiver and the phone's acoustic structure deliberately include a controlled, fairly resistive leak path, so that the seal matters less for the low end. The price is that more volume displacement is needed to make up for that fixed leak. The second is electronic compensation: the equaliser in the voice path lifts the low end, and some solutions adjust the equalisation according to a real-time estimate of how well the phone is sealed.

Caution: a 6 dB bass boost doubles the diaphragm excursion. A receiver's linear excursion is small to begin with, so over-compensation increases distortion and audible breakup, while in a tight, nearly leak-free seal an exaggerated boost sounds boomy. Equalisation targets should be verified under both high-leak and low-leak conditions.

5. Front Cavity and Sound Port: The High-Frequency Helmholtz Resonance

The small front cavity and the sound port form a second Helmholtz resonator. The formula is the same as in Section 4, with V replaced by the front-cavity volume Vf and A and l′ by the total area and effective length of the port. For a round hole the end corrections at both ends add up to about 1.7r (r being the hole radius), so in a thin cover the effective length is dominated by the end correction.

Port 1 mm2 Port 2 mm2 Port 4 mm2 0.02 0.05 0.08 0.11 0.14 0.17 0.2 0 4 8 12 16 Front-cavity volume V / cm3 Resonance / kHz ≈ 8.0 kHz Port depth 0.5 mm, end correction 1.7r
Figure 3 Front-cavity Helmholtz frequency versus front-cavity volume and port area (calculated from f = (c/2π)√(A/(Vfl′)), single round hole 0.5 mm deep; illustrative).

Example: with a 0.05 cm3 front cavity and a 2 mm2 port 0.5 mm deep, the resonance is at about 8.0 kHz; enlarging the cavity to 0.2 cm3 lowers it to about 4.0 kHz. The resonance is normally placed near the upper edge of the voice band to compensate for the roll-off of the moving system above its own resonance. If the peak is too sharp, a dust mesh or damping material over the port adds resistance and flattens it.

Tip: in the assembled phone, the receiver must be sealed to the housing sound port with foam or a rubber gasket. A poor seal lets the front cavity connect to the back cavity through the inside of the phone, an acoustic short circuit that wipes out the low end. The channel between the housing port and the receiver also changes the effective front volume and its resonance, so the receiver's stand-alone response is only a starting point and has to be re-measured in the finished phone.

6. Measurement: Ear Simulators and Artificial Ears

A receiver's sound pressure level is meaningful only under a defined acoustic load. Early ear simulators were simple fixed-volume couplers; later standards added an ear canal, an eardrum impedance and a pinna so that results come closer to a real ear. ITU-T P.57 defines several artificial ears for telephonometry:

ITU-T P.57 typeConstructionTypical use
Type 1Type 1: IEC 60318-based coupler with no leak simulationType 1: traditional telephone-band measurements
Type 2Type 2: IEC 60318-4 (formerly IEC 60711) occluded-ear simulator, measured at the drum reference point (DRP)Type 2: insert earphones and hearing aids
Type 3.2Type 3.2: Type 2 plus a simplified pinna, in low-leak and high-leak versionsType 3.2: handset receivers, common on production lines
Type 3.3Type 3.3: Type 2 plus an anatomical pinna, fitted to a head and torso simulatorType 3.3: complete-phone voice testing

The reference point must also be stated. The DRP (drum reference point) is where the microphone sits at the bottom of the ear simulator; the ERP (ear reference point) is at the entrance of the ear. The two differ by the transfer function of the ear canal, and ITU-T P.57 gives correction curves for converting between them. For complete phones, 3GPP TS 26.131 and TS 26.132 specify a Type 3.3 artificial ear on a head and torso simulator (ITU-T P.58); the receive response is measured at the DRP with a diffuse-field correction, and the default force pressing the phone against the ear is 8 ± 2 N, with 13 N specified for some tests. Less force means more leakage and less bass, so the application force must always be reported.

End-of-line testing of receivers is normally done in a dedicated coupler fixture, roughly as follows:

  1. Impedance and polarity

    Measure DC resistance or impedance at 1 kHz to confirm the coil and the leads or spring contacts are connected; use a pulse or low-frequency signal to confirm the direction of diaphragm motion so that polarity is not reversed.

  2. Response and sensitivity

    Sweep a sine at the specified voltage, record the SPL curve in the coupler and compare it with the reference curve and its upper and lower limit masks.

  3. Distortion and abnormal sound

    From the same sweep, compute THD and analyse high-order harmonic energy to catch rub & buzz caused by coil rubbing, debris or excess adhesive.

  4. Air-tightness and appearance

    Where required, check the sealing of the front and back cavities and that the sound-port mesh is intact and unblocked.

7. Design and Selection Notes

Impedance and drive
Receivers commonly use higher impedances such as 32 Ω and are driven by the earpiece amplifier in the audio codec. When the receiver doubles as a speaker, check power and maximum excursion against the voltage and load capability of that amplifier.
Back volume
A smaller back cavity means a higher resonance and weaker bass. Whether the phone leaves room for a back cavity, or lets the receiver use internal space as an extended back volume, directly affects the low end.
Sound port and mesh
Port area and depth set the front-cavity resonance, and mesh resistance sets the height of the peak. Dust and water meshes are acoustic components too; re-measure the response whenever one is changed.
Sealing
The foam or gasket between receiver and housing must be compressed evenly to avoid a front-to-back acoustic short and assembly variation.
Magnetic field and hearing aids
Stray magnetic field from the receiver is picked up by the telecoil in hearing aids, which is exactly what hearing-aid compatibility (HAC) testing looks at. The magnet system should also be kept away from the electronic compass and Hall sensors.

Key takeaways

  • Pressure field: in a small sealed cavity p = ρc2Sdx/V; pressure depends only on excursion, and the same excursion is about 80 dB louder than open air at 1 m.
  • Opposite flat regions: a receiver is flat below its resonance and falls above it; a speaker is flat above its resonance and falls below it.
  • The back cavity is a spring: Kb = ρc2Sd2/Vb; the smaller the cavity, the higher the resonance.
  • A leak is a high-pass filter: fL = (c/2π)√(A/(Vl′)); a gap of only 0.3 mm2 noticeably cuts the response below 300 Hz.
  • The front cavity sets the top end: the same formula gives the front-cavity resonance, which with mesh damping offsets the roll-off above resonance.
  • State the conditions: artificial-ear type, DRP or ERP, application force and leak condition must match before results can be compared.
References: ITU-T P.57, Artificial ears; ITU-T P.58, Head and torso simulator for telephonometry; IEC 60318-4, Simulators of human head and ear, Part 4: Occluded-ear simulator for the measurement of earphones coupled to the ear by means of ear inserts; 3GPP TS 26.131 / TS 26.132 (terminal acoustic characteristics and test methods); L. L. Beranek, Acoustics (lumped acoustic elements and the Helmholtz resonator). Diaphragm, cavity and leak parameters in this article are examples chosen to illustrate the principles, and Figures 2 and 3 are calculated from the formulas shown.
Note: Suyang Electronics manufactures receivers in wire-lead, spring-contact and racetrack-magnet versions, and its test centre is equipped with an anechoic chamber and other test facilities. Contact us for frequency response and impedance data when selecting a part. Contact us.