Paper Citation Record · LEDGER

Optical computation of the divergence of a vector field using a metal-dielectric multilayer

As of 8 August 2026, this Paper Citation Record lists 34 of 34 outbound references and 0 inbound Pith citation observations for arXiv:2505.21023.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2505.21023 v1

Coverage vector

measured 34 of 34 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T13:50:15.193919Z

measured 34 of 34 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

34 of 34 outbound references displayed

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verified fuzzy34
unresolved0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 0cd6e1c6-6a77-46d0-bbcf-6a869ea28f95 · outbound

This paper cites Performing mathematical operations with metamaterials ,.

Optical computation of the divergence of a vector field using a metal-dielectric multilayer Performing mathematical operations with metamaterials ,

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:50:20.318357Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation f10f81e2-ca5f-491a-b8a1-e5b706f9652a · outbound

This paper cites Inver se-designed metastructures that solve equations,.

Optical computation of the divergence of a vector field using a metal-dielectric multilayer Inver se-designed metastructures that solve equations,

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:50:20.198419Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 61b215f9-888e-4f40-83ec-2046c591f73c · outbound

This paper cites Fla t optics for image diﬀerentiation,.

Optical computation of the divergence of a vector field using a metal-dielectric multilayer Fla t optics for image diﬀerentiation,

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:50:20.064548Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 0810de0d-b5dd-4e79-ae5e-cbc6e687ac68 · outbound

This paper cites Temporal diﬀerentiation of optical signals using resonant gratings,.

Optical computation of the divergence of a vector field using a metal-dielectric multilayer Temporal diﬀerentiation of optical signals using resonant gratings,

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:50:19.927132Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 8f7ba7e7-2737-4547-8e2d-6d115f92622a · outbound

This paper cites Optical spatial diﬀeren tiator based on subwavelength high-contrast gratings,.

Optical computation of the divergence of a vector field using a metal-dielectric multilayer Optical spatial diﬀeren tiator based on subwavelength high-contrast gratings,

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:50:19.791424Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation c2b91163-d679-4d83-a314-2737ffea4e8e · outbound

This paper cites First-order optical spatial diﬀerentiator based on a guided-mode resonant grating,.

Optical computation of the divergence of a vector field using a metal-dielectric multilayer First-order optical spatial diﬀerentiator based on a guided-mode resonant grating,

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:50:19.631224Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation eb16aba3-c30e-40bf-a58b-bb9f9312cac6 · outbound

This paper cites Plasmonic transmitt ed optical diﬀerentiator based on the subwavelength gold gratings,.

Optical computation of the divergence of a vector field using a metal-dielectric multilayer Plasmonic transmitt ed optical diﬀerentiator based on the subwavelength gold gratings,

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:50:19.500475Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation c6452abf-72b0-4518-8dd9-a0a22ae5a55e · outbound

This paper cites Spatiotemporal di ﬀerentiators generating optical vortices with transverse orbital angular momentum and detecting sharp change of puls e envelope,.

Optical computation of the divergence of a vector field using a metal-dielectric multilayer Spatiotemporal di ﬀerentiators generating optical vortices with transverse orbital angular momentum and detecting sharp change of puls e envelope,

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:50:19.372543Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 4db44246-c6fa-4c6f-be1e-0900bfac342d · outbound

This paper cites Spatial diﬀerentiation of optical beams using phase-shifted Bragg grating,.

Optical computation of the divergence of a vector field using a metal-dielectric multilayer Spatial diﬀerentiation of optical beams using phase-shifted Bragg grating,

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:50:19.252266Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 3074a49f-b9d8-44f5-a3a9-f30110a2731e · outbound

This paper cites Spatial diﬀerentiation of optical beams using a resonant metal-dielectric-metal structure,.

Optical computation of the divergence of a vector field using a metal-dielectric multilayer Spatial diﬀerentiation of optical beams using a resonant metal-dielectric-metal structure,

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:50:19.085247Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 07e1fc3a-ad74-4778-a1c2-84b30921e9c7 · outbound

This paper cites Optical properties of cascaded metal-dielectric- metal structures and their application to the diﬀerentiation of optical signals,.

Optical computation of the divergence of a vector field using a metal-dielectric multilayer Optical properties of cascaded metal-dielectric- metal structures and their application to the diﬀerentiation of optical signals,

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:50:18.914392Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation c40e3022-96eb-44f7-9902-a38ae0c5c644 · outbound

This paper cites Spatiotemporal optical diﬀerentiation and vortex generation with metal-dielectric-metal multilayers,.

Optical computation of the divergence of a vector field using a metal-dielectric multilayer Spatiotemporal optical diﬀerentiation and vortex generation with metal-dielectric-metal multilayers,

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:50:18.834862Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation c3544ef8-94d1-447b-8c78-f9bc5ae5e9c7 · outbound

This paper cites Vectorial spatial diﬀerentiation of optical beams with metal–dielectric multilayers enabled by spin Hall eﬀe ct of light and resonant reﬂection zero,.

Optical computation of the divergence of a vector field using a metal-dielectric multilayer Vectorial spatial diﬀerentiation of optical beams with metal–dielectric multilayers enabled by spin Hall eﬀe ct of light and resonant reﬂection zero,

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:50:18.682265Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 82ce398e-ba42-4b1b-9df5-a384d0cd478f · outbound

This paper cites Plasmonic computing of spatial diﬀerentiation,.

Optical computation of the divergence of a vector field using a metal-dielectric multilayer Plasmonic computing of spatial diﬀerentiation,

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:50:18.546410Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 42362896-5047-4ec4-ab0f-f23c01df1a48 · outbound

This paper cites Analogue optical spatiotemporal diﬀerentiator,.

Optical computation of the divergence of a vector field using a metal-dielectric multilayer Analogue optical spatiotemporal diﬀerentiator,

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:50:18.393645Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 6052b115-8c72-4646-b41f-e8ef419ee9ec · outbound

This paper cites Temporal diﬀerentiation of optical signals using a phase -shifted ﬁber Bragg grating,.

Optical computation of the divergence of a vector field using a metal-dielectric multilayer Temporal diﬀerentiation of optical signals using a phase -shifted ﬁber Bragg grating,

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:50:18.229858Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation a253092e-d30a-4f78-bc37-3c6c58708104 · outbound

This paper cites Design of high-order all-optical temporal diﬀerentiators based on multiple-phase-shifted ﬁber Bragg gratings,.

Optical computation of the divergence of a vector field using a metal-dielectric multilayer Design of high-order all-optical temporal diﬀerentiators based on multiple-phase-shifted ﬁber Bragg gratings,

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:50:18.135881Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation d1948eac-c21a-4b0c-bd79-127edef02841 · outbound

This paper cites High-order photonic diﬀerentiator employing on-chip ca scaded microring resonators,.

Optical computation of the divergence of a vector field using a metal-dielectric multilayer High-order photonic diﬀerentiator employing on-chip ca scaded microring resonators,

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:50:18.015814Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation cfd75374-cda9-4b3b-b67b-8f35f63d1161 · outbound

This paper cites Use of photonic crystal cavities for temporal diﬀerentiation of optical signals,.

Optical computation of the divergence of a vector field using a metal-dielectric multilayer Use of photonic crystal cavities for temporal diﬀerentiation of optical signals,

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:50:17.837477Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 00afafe7-ed53-41a6-973e-6862d580c5fa · outbound

This paper cites Subpicosecond ﬂat- top pulse shaping using a hybrid plasmonic microring- based temporal diﬀerentiator,.

Optical computation of the divergence of a vector field using a metal-dielectric multilayer Subpicosecond ﬂat- top pulse shaping using a hybrid plasmonic microring- based temporal diﬀerentiator,

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:50:17.747543Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation a023f2d9-91fe-4d49-94e5-086e6d24fe8e · outbound

This paper cites Analog computing by Brewster eﬀect,.

Optical computation of the divergence of a vector field using a metal-dielectric multilayer Analog computing by Brewster eﬀect,

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:50:17.618013Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 30d01a0f-e441-4fed-ad2f-9e004c08dac5 · outbound

This paper cites Optical diﬀerentiation based on the Brewster eﬀect,.

Optical computation of the divergence of a vector field using a metal-dielectric multilayer Optical diﬀerentiation based on the Brewster eﬀect,

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:50:17.449661Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 08988e57-da3a-41b2-9f90-5fecfbbac7f7 · outbound

This paper cites Optical computation of the Laplace operator using phase-shifted Bragg grating,.

Optical computation of the divergence of a vector field using a metal-dielectric multilayer Optical computation of the Laplace operator using phase-shifted Bragg grating,

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:50:17.255010Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation ed8d8be5-8191-4265-800c-7360ccc22825 · outbound

This paper cites Photonic crystal slab Laplace operator for image diﬀeren tiation,.

Optical computation of the divergence of a vector field using a metal-dielectric multilayer Photonic crystal slab Laplace operator for image diﬀeren tiation,

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:50:17.060711Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 2b313d24-e232-427c-ab23-719b7b49a414 · outbound

This paper cites Laplace metasurfaces for optical analog computing based on quasi-bound states in the continuum,.

Optical computation of the divergence of a vector field using a metal-dielectric multilayer Laplace metasurfaces for optical analog computing based on quasi-bound states in the continuum,

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:50:16.899936Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation ff647532-a0f9-4be1-858b-f313c3bf1fca · outbound

This paper cites Optical computation of the Laplace operator at oblique incidence using a multilayer metal-dielectric structure,.

Optical computation of the divergence of a vector field using a metal-dielectric multilayer Optical computation of the Laplace operator at oblique incidence using a multilayer metal-dielectric structure,

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:50:16.691946Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 325163df-a1c9-4ee4-8864-f6c485daf309 · outbound

This paper cites Optical computation of divergence operation for vector ﬁelds,.

Optical computation of the divergence of a vector field using a metal-dielectric multilayer Optical computation of divergence operation for vector ﬁelds,

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:50:16.585261Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation ba0dde06-7384-44ff-8ba1-416c5cca2688 · outbound

This paper cites All optical div ergence and gradient operators using surface plasmon polaritons,.

Optical computation of the divergence of a vector field using a metal-dielectric multilayer All optical div ergence and gradient operators using surface plasmon polaritons,

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:50:16.394039Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 9c1f1acb-1702-4699-a48b-d0338b210bc5 · outbound

This paper cites Generalized spatial diﬀerentiation from the spin Hall eﬀect of light and its application in image processing of edge detection,.

Optical computation of the divergence of a vector field using a metal-dielectric multilayer Generalized spatial diﬀerentiation from the spin Hall eﬀect of light and its application in image processing of edge detection,

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:50:16.254280Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 064f8c01-a8c1-4c85-b9ec-dfa1b7710403 · outbound

This paper cites Optical phase mining by adjustable spatial diﬀerentiator,.

Optical computation of the divergence of a vector field using a metal-dielectric multilayer Optical phase mining by adjustable spatial diﬀerentiator,

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:50:16.034171Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation ccd7f7b3-fd6b-45b8-bac9-abf83566f669 · outbound

This paper cites Born and E.

Optical computation of the divergence of a vector field using a metal-dielectric multilayer Born and E

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:50:15.835189Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 8bd41119-798c-4eb5-a25a-16e2f0cfc0e5 · outbound

This paper cites Stable implementation of the rigorous coupled-wave analysis for surface-relief gratings: enhanced transmitt ance matrix approach,.

Optical computation of the divergence of a vector field using a metal-dielectric multilayer Stable implementation of the rigorous coupled-wave analysis for surface-relief gratings: enhanced transmitt ance matrix approach,

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:50:15.726370Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation bca237c9-43e8-4443-8a7a-f8fdd231c5f3 · outbound

This paper cites Refractiveindex.info database of op tical constants,.

Optical computation of the divergence of a vector field using a metal-dielectric multilayer Refractiveindex.info database of op tical constants,

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:50:15.537412Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 20fc03cf-a127-4660-8e07-9129a8637f9b · outbound

This paper cites Gouy phase induced polarization transition of focused ve ctor vortex beams,.

Optical computation of the divergence of a vector field using a metal-dielectric multilayer Gouy phase induced polarization transition of focused ve ctor vortex beams,

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:50:15.334566Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Pith citing papers

No inbound Pith citation observations are available.