Receiver function¶
A site-centered seismic waveform extracted from teleseismic component records to isolate converted phases that constrain subsurface boundaries and velocities beneath a receiver.
Core Idea¶
A receiver function describes how seismic waves arriving from distant earthquakes are transformed by the structure near a recording station. At a boundary such as the Moho, part of an incoming P wave converts to S; the converted arrival appears after the direct arrival, and its delay contains local structural information.
Comparing components of a three-component seismogram suppresses effects shared by the source and distant path, exposing the receiver-side waveform. Interpretation remains conditional on correctly identifying converted phases and on a velocity model. Multiple events improve stability; neighboring stations can turn many local constraints into a regional boundary picture.
Structural Signature¶
Sig role-phrases:
- Teleseismic incident wave — Provides a distant incoming wave whose interaction with local structure is sampled. It is constitutive. Counterfactual: Without a suitable arriving seismic wave no receiver-side conversion can be measured.
- Subsurface impedance boundary — Converts part of an incident P or S wave into another mode beneath the station. It is constitutive. Counterfactual: With no contrast or conversion there is no interface-specific converted arrival to interpret.
- Multicomponent station record — Separates vertical and horizontal motions at a known receiver location. It is constitutive. Counterfactual: A lone unpaired trace cannot isolate the same receiver-centered component relation.
- Common-source cancellation — Suppresses shared source and propagation imprint through component comparison or deconvolution. It is operating mechanism. Counterfactual: Leaving shared event effects intact can misattribute them to local structure.
- Converted-phase timing — Links direct and converted arrivals to boundary depth under a velocity model. It is diagnostic. Counterfactual: Arrival delay without velocity assumptions cannot uniquely give interface depth.
- Station-to-region synthesis — Combines event or neighboring-station results for more stable or spatial interpretation. It is extension. Counterfactual: A single-site result remains a receiver function but cannot alone map a wide region.
What It Is Not¶
- It is not any raw earthquake trace; the receiver-centered component relation is the defining product.
- It is not a direct photograph of the Moho or a unique depth measurement independent of velocities.
- It is not the earthquake source mechanism, which the comparison seeks to suppress.
- It is not synonymous with an already assembled two- or three-dimensional regional crustal map.
- Closest near-miss. A vertical-component earthquake waveform is the nearest raw input; it becomes receiver-function evidence only after component relation and conversion timing isolate the station-side response.
Scope of Application¶
- Crust–mantle boundary. Interprets P-to-S converted phases associated with the Moho.
- Mantle interfaces. Uses deeper converted phases and reverberations where identifiable.
- Station studies. Constrains local interface depth and velocity structure beneath one receiver.
- Regional imaging. Synthesizes results from multiple stations for spatial patterns.
Clarity¶
State incident phase, station geometry, recorded components, suspected conversion, direct/converted arrival delay, and velocity assumptions. Distinguish measured pulses from inferred depth and note where reverberations or noise make phase identification ambiguous.
Manages Complexity¶
The receiver-centered waveform separates three confounded contributors—source, remote path, and local interface response. That separation makes a complex seismogram interpretable as local structure without pretending that the waveform itself is an unconditioned Earth image.
Abstract Reasoning¶
- Identify a suitable teleseismic arrival and the station's component records.
- Locate plausible direct and converted-phase information in the records.
- Separate effects common to the components from receiver-side arrivals.
- Measure relevant converted-versus-direct timing while checking for reverberations.
- Interpret timing under explicit velocity and phase assumptions, retaining ambiguity where needed.
- Compare events and neighboring stations before claiming a regional interface pattern.
Knowledge Transfer¶
Literal transfer spans crustal and mantle-boundary studies and P-to-S or S-to-P conversions where the receiver-side waveform can be isolated. The abstract idea of cancelling a common input to reveal local response travels more broadly, but a generic signal filter is not a seismic receiver function absent teleseismic phases and station-bound interface interpretation.
Examples¶
Canonical¶
A distant P wave reaches a station above the Moho; a portion converts to S at the crust–mantle boundary. The Ps delay relative to P constrains local interface depth only together with a velocity model.
Mapped back: Teleseismic incident wave → distant P arrival; Subsurface impedance boundary → Moho; Multicomponent station record → vertical and horizontal seismograms; Common-source cancellation → shared event imprint reduced; Converted-phase timing → Ps minus P delay; Station-to-region synthesis → one-station interpretation.
Applied / In Practice¶
A collection of stations samples the Moho beneath mountains in southwest Japan; converted-phase interpretations from each station are placed together to reveal the cited depression rather than claiming a single trace is a regional image.
Mapped back: Teleseismic incident wave → events recorded across stations; Subsurface impedance boundary → Moho beneath mountains; Multicomponent station record → each station's components; Common-source cancellation → receiver-centered extraction per site; Converted-phase timing → site-specific converted delays; Station-to-region synthesis → spatial pattern of station estimates.
Structural Tensions¶
T1 — Source/Path Imprint versus Receiver-Side Structure. The incident earthquake and long propagation path shape the trace, yet local boundaries are the target; component separation is therefore essential.
Diagnostic: Could an apparent converted pulse instead be shared event or path structure?
T2 — Arrival-Time Evidence versus Depth Interpretation. A delay is measurable, but interface depth also depends on assumed seismic velocities and phase identification.
Diagnostic: Which velocity and phase assumptions connect this delay to the claimed boundary?
Structural–Framed Character¶
A provisional portable skeleton is suppressing a common incoming imprint to isolate a local response. A seismic receiver function derives a station-centered waveform from multicomponent teleseismic records so converted arrivals can inform subsurface interfaces; it is an output signal, not the teleseism or inversion itself.
Evaluative weight: Structural inference is model-dependent, not guaranteed by the waveform. Human-practice-bound: Moderate, because processing and source assumptions are chosen while arrivals are physical. Institutional origin: Seismology supplies conventions, not one universal processing result. Vocabulary travels: P-to-S and S-to-P studies may qualify after restating geometry. Import versus recognize: Recognize receiver functions by teleseismic components and local conversion isolation; generic filtering imports only the signal-processing idea.
Its character: A seismological waveform with portable common-input cancellation and Earth-interface interpretation.
Structural Core vs. Domain Accent¶
Skeletal core. Remove shared input or path effects to reveal a local delayed response.
Domain-bound accent. Teleseismic P/S arrivals, station components, mode conversion, and Earth-interface velocities define receiver functions.
Why not prime. Signal filtering is broad; without these seismic phases and interpretation it is another waveform.
Instantiates / Related Primes¶
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Approved root. A receiver function is the extracted receiver-centered waveform, not the raw seismogram, teleseismic event, deconvolution operation, or tomography method. Each names an input, contributor, or downstream inference rather than a broader waveform kind whose signature it strictly instantiates.
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Related — teleseism, deconvolution, seismic conversion, Moho imaging, and station stacking. These supply the incoming event, processing operation, conversion, target, or multi-station extension rather than a parent waveform identity.
Neighborhood in Abstraction Space¶
Receiver function sits in a moderately populated region (43rd percentile for distinctiveness): it has near-neighbors but no dense thicket of look-alikes.
Family — Geophysical Wave & Flow Parameters (11 abstractions)
Nearest neighbors
- Surface-wave inversion — 0.89
- Seismic Site Effects — 0.89
- Reflection (Physics) — 0.88
- Acoustic lobing — 0.87
- Correlated Double Sampling — 0.86
Computed from structural-signature embeddings · 2026-10-08
Not to Be Confused With¶
- Raw seismogram. Tell: Contains source and path imprints before receiver-centered extraction.
- Source mechanism. Tell: Describes earthquake rupture rather than station-side Earth structure.
- Seismic tomography. Tell: Infers distributed velocity structure from travel paths; receiver functions emphasize converted phases beneath receivers.
- Moho map. Tell: Combines location-specific interpretations; it is an output, not a single receiver function.
References¶
- Frozen Wikipedia discovery revision: https://en.wikipedia.org/wiki/Receiver_function (revision 1348267760).
- Preserved source candidate: https://pubs.geoscienceworld.org/ssa/bssa/article-abstract/67/3/677/117706/modeling-crustal-structure-through-the-use-of
The frozen Wikipedia revision is discovery provenance. The retained source set was reviewed for identity, formal or operational relation, and scope. The encyclopedia's structural synthesis is bounded to those claims; a thin authority surface is recorded as a nonblocking source-strengthening repair rather than concealed.