Paper Citation Record · LEDGER

An Angular Spectrum Method for Nonlinear Propagation in Heterogeneous Tissue with Immersed Sources for Ultrasound

As of 13 August 2026, this Paper Citation Record lists 40 of 40 outbound references and 0 inbound Pith citation observations for arXiv:2608.07389.

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pith.paper-citation-record.v1
2608.07389 v1

Coverage vector

measured 40 of 40 reference resolution

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Pith citing papers itemized under the disclosed page cap.

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40 of 40 outbound references displayed

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External citation measurements

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Outbound references

Observation fadc1fab-a751-4520-ae24-80e6d69185de · outbound

This paper cites A heterogeneous nonlinear attenuating full-wave model of ultrasound,.

An Angular Spectrum Method for Nonlinear Propagation in Heterogeneous Tissue with Immersed Sources for Ultrasound A heterogeneous nonlinear attenuating full-wave model of ultrasound,

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T05:19:44.399331Z

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Observation 9a5f1c4a-6a32-427a-9063-1d676d01bcff · outbound

This paper cites Numerical methods for nonlinear wave propagation in ultrasound,.

An Angular Spectrum Method for Nonlinear Propagation in Heterogeneous Tissue with Immersed Sources for Ultrasound Numerical methods for nonlinear wave propagation in ultrasound,

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T05:19:44.383470Z

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Observation c820516a-2b01-4343-ae49-c06be55520e4 · outbound

This paper cites New approaches to nonlinear diffractive field propagation,.

An Angular Spectrum Method for Nonlinear Propagation in Heterogeneous Tissue with Immersed Sources for Ultrasound New approaches to nonlinear diffractive field propagation,

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T05:19:44.367694Z

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Observation 3165865e-38aa-4a4c-81bf-ef4752b9b01f · outbound

This paper cites The ultrasonic field of a Gaussian transducer,.

An Angular Spectrum Method for Nonlinear Propagation in Heterogeneous Tissue with Immersed Sources for Ultrasound The ultrasonic field of a Gaussian transducer,

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T05:19:44.350109Z

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Observation c23110d5-d52c-47e2-87d7-a6f76d625822 · outbound

This paper cites Modeling of nonlinear ultrasound propagation in tissue from array transducers,.

An Angular Spectrum Method for Nonlinear Propagation in Heterogeneous Tissue with Immersed Sources for Ultrasound Modeling of nonlinear ultrasound propagation in tissue from array transducers,

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T05:19:44.335472Z

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Observation 3c09f205-e446-4f45-8123-f3480d0094ea · outbound

This paper cites Acoustic shock wave propagation in a heterogeneous medium: a numerical simulation beyond the parabolic approximation,.

An Angular Spectrum Method for Nonlinear Propagation in Heterogeneous Tissue with Immersed Sources for Ultrasound Acoustic shock wave propagation in a heterogeneous medium: a numerical simulation beyond the parabolic approximation,

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T05:19:44.321672Z

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Observation 5b7d8024-1575-435a-aa2a-b6c08e49f001 · outbound

This paper cites Rapid quantitative imaging of high intensity ultrasonic pressure fields,.

An Angular Spectrum Method for Nonlinear Propagation in Heterogeneous Tissue with Immersed Sources for Ultrasound Rapid quantitative imaging of high intensity ultrasonic pressure fields,

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T05:19:44.307077Z

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Observation c31d30fb-e9b2-4721-ba1b-55da7109e28e · outbound

This paper cites Nonlinear reflection of shock shear waves in soft elastic media,.

An Angular Spectrum Method for Nonlinear Propagation in Heterogeneous Tissue with Immersed Sources for Ultrasound Nonlinear reflection of shock shear waves in soft elastic media,

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T05:19:44.292541Z

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Observation 5df3aaa3-7298-484a-b2cb-b5d9e57515e5 · outbound

This paper cites Numerical simulation of focused shock shear waves in soft solids and a two-dimensional nonlinear homogeneous model of the brain,.

An Angular Spectrum Method for Nonlinear Propagation in Heterogeneous Tissue with Immersed Sources for Ultrasound Numerical simulation of focused shock shear waves in soft solids and a two-dimensional nonlinear homogeneous model of the brain,

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T05:19:44.279818Z

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Observation ce233372-e84f-4944-8e5b-69e8a13f2168 · outbound

This paper cites A reduced viscoelastic FDTD formulation for ultrasound-driven shear wave propagation in soft tissue.

An Angular Spectrum Method for Nonlinear Propagation in Heterogeneous Tissue with Immersed Sources for Ultrasound A reduced viscoelastic FDTD formulation for ultrasound-driven shear wave propagation in soft tissue

Reference 10

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Source-reported events for the cited work

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Observation 0de69681-7fd8-4109-8792-f45b5e243481 · outbound

This paper cites Ultrasound beam simulations in inhomogeneous tissue geometries using the hybrid angular spectrum method,.

An Angular Spectrum Method for Nonlinear Propagation in Heterogeneous Tissue with Immersed Sources for Ultrasound Ultrasound beam simulations in inhomogeneous tissue geometries using the hybrid angular spectrum method,

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T05:19:44.267384Z

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Observation 0fc569f0-6a24-4868-ac2e-97158c21f220 · outbound

This paper cites Simulation of hemispherical transducers for transcranial HIFU treatments using the hybrid angular spectrum approach,.

An Angular Spectrum Method for Nonlinear Propagation in Heterogeneous Tissue with Immersed Sources for Ultrasound Simulation of hemispherical transducers for transcranial HIFU treatments using the hybrid angular spectrum approach,

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T05:19:44.253047Z

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Observation db745faf-ac39-4f55-a44a-389cd8ec32de · outbound

This paper cites Evaluation of a wave-vector-frequency-domain method for nonlinear wave propagation,.

An Angular Spectrum Method for Nonlinear Propagation in Heterogeneous Tissue with Immersed Sources for Ultrasound Evaluation of a wave-vector-frequency-domain method for nonlinear wave propagation,

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T05:19:44.238022Z

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Observation e04410df-ba5a-4783-9661-53507db9ba00 · outbound

This paper cites Numerical modeling of ultrasound propagation in weakly heterogeneous media using a mixed-domain method,.

An Angular Spectrum Method for Nonlinear Propagation in Heterogeneous Tissue with Immersed Sources for Ultrasound Numerical modeling of ultrasound propagation in weakly heterogeneous media using a mixed-domain method,

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T05:19:44.222392Z

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Observation 58c840f0-bac4-4c25-a8d1-085f456c4231 · outbound

This paper cites Rapid calculation of acoustic fields from arbitrary continuous-wave sources,.

An Angular Spectrum Method for Nonlinear Propagation in Heterogeneous Tissue with Immersed Sources for Ultrasound Rapid calculation of acoustic fields from arbitrary continuous-wave sources,

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T05:19:44.206560Z

Source-reported events for the cited work

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Observation c9ca39db-b0fe-4f4a-bb15-1ea169547885 · outbound

This paper cites Evaluation of the angular spectrum approach for simulations of near-field pressures,.

An Angular Spectrum Method for Nonlinear Propagation in Heterogeneous Tissue with Immersed Sources for Ultrasound Evaluation of the angular spectrum approach for simulations of near-field pressures,

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T05:19:44.190637Z

Source-reported events for the cited work

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Observation 5644db3b-0431-4ecf-9e4d-f047724e2ad4 · outbound

This paper cites New high-resolution central schemes for nonlinear conservation laws and convection–diffusion equations,.

An Angular Spectrum Method for Nonlinear Propagation in Heterogeneous Tissue with Immersed Sources for Ultrasound New high-resolution central schemes for nonlinear conservation laws and convection–diffusion equations,

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T05:19:44.175530Z

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This paper cites Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov’s method,.

An Angular Spectrum Method for Nonlinear Propagation in Heterogeneous Tissue with Immersed Sources for Ultrasound Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov’s method,

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T05:19:44.160881Z

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Observation 0efd9e8c-7d4a-4edd-ab18-6252083f6098 · outbound

This paper cites Strong stability-preserving high-order time discretization methods,.

An Angular Spectrum Method for Nonlinear Propagation in Heterogeneous Tissue with Immersed Sources for Ultrasound Strong stability-preserving high-order time discretization methods,

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T05:19:44.146686Z

Source-reported events for the cited work

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Observation 698e84f8-0b76-4630-baf2-8d724ee2b199 · outbound

This paper cites Ontheconstructionandcomparisonofdifferenceschemes,.

An Angular Spectrum Method for Nonlinear Propagation in Heterogeneous Tissue with Immersed Sources for Ultrasound Ontheconstructionandcomparisonofdifferenceschemes,

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T05:19:44.132324Z

Source-reported events for the cited work

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Observation c6cff9f7-745e-43d5-99c6-a1feafaf63b5 · outbound

This paper cites Construction of higher order symplectic integrators,.

An Angular Spectrum Method for Nonlinear Propagation in Heterogeneous Tissue with Immersed Sources for Ultrasound Construction of higher order symplectic integrators,

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T05:19:44.118310Z

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Observation f3959f3b-b61b-4555-9cc9-285a93af9c58 · outbound

This paper cites The calculation of the interaction of non-stationary shock waves and obstacles,.

An Angular Spectrum Method for Nonlinear Propagation in Heterogeneous Tissue with Immersed Sources for Ultrasound The calculation of the interaction of non-stationary shock waves and obstacles,

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T05:19:44.101865Z

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Observation 730e5738-56a3-4e4c-ba3b-55cf2ec3535d · outbound

This paper cites Modeling and simulations of two-dimensional propagation of shear shock waves in relaxing soft solids,.

An Angular Spectrum Method for Nonlinear Propagation in Heterogeneous Tissue with Immersed Sources for Ultrasound Modeling and simulations of two-dimensional propagation of shear shock waves in relaxing soft solids,

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T05:19:44.086302Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 2ca2fde8-085a-404e-8a0a-9e365dc4e6e3 · outbound

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An Angular Spectrum Method for Nonlinear Propagation in Heterogeneous Tissue with Immersed Sources for Ultrasound Unresolved cited work

Reference 24

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Observation 1273783f-263b-4154-949c-f90f516733c5 · outbound

This paper cites Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree,.

An Angular Spectrum Method for Nonlinear Propagation in Heterogeneous Tissue with Immersed Sources for Ultrasound Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree,

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T05:19:44.057940Z

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Observation 517e0e69-8416-4cf4-88c9-23f5b2ed9ab7 · outbound

This paper cites Absorbing boundary conditions for the numerical simulation of waves,.

An Angular Spectrum Method for Nonlinear Propagation in Heterogeneous Tissue with Immersed Sources for Ultrasound Absorbing boundary conditions for the numerical simulation of waves,

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T05:19:44.043155Z

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Observation 4a0d9ae8-351e-42a7-b2a2-41c0703509eb · outbound

This paper cites Intensity images and statistics from numerical simulation of wave propagation in 3-D random media,.

An Angular Spectrum Method for Nonlinear Propagation in Heterogeneous Tissue with Immersed Sources for Ultrasound Intensity images and statistics from numerical simulation of wave propagation in 3-D random media,

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T05:19:44.028121Z

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Observation 1b84d594-daae-4631-b9e8-bca6e834e52c · outbound

This paper cites Heat generation by ultrasound in a relaxing medium,.

An Angular Spectrum Method for Nonlinear Propagation in Heterogeneous Tissue with Immersed Sources for Ultrasound Heat generation by ultrasound in a relaxing medium,

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T05:19:44.012897Z

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Observation 854d2175-3682-40fd-b6f2-048bcd3eab68 · outbound

This paper cites JAX: composable transforma- tions of Python+NumPy programs,.

An Angular Spectrum Method for Nonlinear Propagation in Heterogeneous Tissue with Immersed Sources for Ultrasound JAX: composable transforma- tions of Python+NumPy programs,

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T05:19:43.997673Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 32780de9-9732-4b35-aadc-33cbcb9ebb68 · outbound

This paper cites an unresolved cited work.

An Angular Spectrum Method for Nonlinear Propagation in Heterogeneous Tissue with Immersed Sources for Ultrasound Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-08-10T05:19:43.981305Z

Source-reported events for the cited work

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Observation a1132b8d-673a-4113-a25f-655d66e3d756 · outbound

This paper cites Modeling nonlinear ultrasound propagation in heterogeneous media with power law absorption using ak-space pseudospectral method,.

An Angular Spectrum Method for Nonlinear Propagation in Heterogeneous Tissue with Immersed Sources for Ultrasound Modeling nonlinear ultrasound propagation in heterogeneous media with power law absorption using ak-space pseudospectral method,

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T05:19:43.965967Z

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Observation af31f370-f9de-447f-9e5f-1db1374ff34c · outbound

This paper cites Causality-imposed (Kramers–Kronig) relationships between attenuation and dispersion,.

An Angular Spectrum Method for Nonlinear Propagation in Heterogeneous Tissue with Immersed Sources for Ultrasound Causality-imposed (Kramers–Kronig) relationships between attenuation and dispersion,

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T05:19:43.947984Z

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Observation 83ac3544-7134-4694-923c-75c8e9554a1a · outbound

This paper cites Causal theories and data for acoustic attenuation obeying a frequency power law,.

An Angular Spectrum Method for Nonlinear Propagation in Heterogeneous Tissue with Immersed Sources for Ultrasound Causal theories and data for acoustic attenuation obeying a frequency power law,

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T05:19:43.932565Z

Source-reported events for the cited work

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Observation fc4e91a7-e44a-4d6d-a22b-fd0219db59d6 · outbound

This paper cites A micro-CT of a human skull.

An Angular Spectrum Method for Nonlinear Propagation in Heterogeneous Tissue with Immersed Sources for Ultrasound A micro-CT of a human skull

Reference 34

Resolution: verified exact; local_arxiv, observed 2026-08-10T05:19:43.805954Z

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Observation 894ebf3b-d780-45aa-81b9-4b54e4eb108c · outbound

This paper cites The development of a 1.25MHz 1024-channel sparse array for human transcranial imaging:in vitro characterization,.

An Angular Spectrum Method for Nonlinear Propagation in Heterogeneous Tissue with Immersed Sources for Ultrasound The development of a 1.25MHz 1024-channel sparse array for human transcranial imaging:in vitro characterization,

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T05:19:43.916713Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 0b4047d8-7c57-4ef6-bf6e-b4d57b85f58c · outbound

This paper cites Attenuation, scattering, and absorption of ultrasound in the skull bone,.

An Angular Spectrum Method for Nonlinear Propagation in Heterogeneous Tissue with Immersed Sources for Ultrasound Attenuation, scattering, and absorption of ultrasound in the skull bone,

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T05:19:43.899295Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation d943cb30-3964-4d92-8430-fa3a81741c6f · outbound

This paper cites Absorbing boundary conditions for difference approximations to the multi- dimensional wave equation,.

An Angular Spectrum Method for Nonlinear Propagation in Heterogeneous Tissue with Immersed Sources for Ultrasound Absorbing boundary conditions for difference approximations to the multi- dimensional wave equation,

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T05:19:43.882627Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation c38df4cb-ec7b-4f80-8836-55811d838179 · outbound

This paper cites Observation of shock transverse waves in elastic media,.

An Angular Spectrum Method for Nonlinear Propagation in Heterogeneous Tissue with Immersed Sources for Ultrasound Observation of shock transverse waves in elastic media,

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T05:19:43.861154Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation d5741dde-0e44-4f17-a2f2-1fc696e2906d · outbound

This paper cites An open-source framework for predicting ultrasound neuromodulation: bridging tissue elastomechanics and neuron firing dynamics.

An Angular Spectrum Method for Nonlinear Propagation in Heterogeneous Tissue with Immersed Sources for Ultrasound An open-source framework for predicting ultrasound neuromodulation: bridging tissue elastomechanics and neuron firing dynamics

Reference 39

Resolution: verified exact; local_arxiv, observed 2026-08-10T05:19:43.782872Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 1d348852-b4bc-4afb-a645-c72a02a7c2d0 · outbound

This paper cites Acous- toelasticity in soft solids: Assessment of the nonlinear shear modulus with the acoustic radiation force,.

An Angular Spectrum Method for Nonlinear Propagation in Heterogeneous Tissue with Immersed Sources for Ultrasound Acous- toelasticity in soft solids: Assessment of the nonlinear shear modulus with the acoustic radiation force,

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T05:19:43.841907Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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