Paper Citation Record · LEDGER

Arithmetic with spatiotemporal optical vortex of integer and fractional topological charges

As of 16 August 2026, this Paper Citation Record lists 42 of 42 outbound references and 0 inbound Pith citation observations for arXiv:2512.25049.

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2512.25049 v2

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measured 42 of 42 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-03T13:16:44.784402Z

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42 of 42 outbound references displayed

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Outbound references

Observation bb1589b1-1729-423d-9ca5-caac31bfe541 · outbound

This paper cites Optical vortices 30 years on: OAM manipulation from topological charge to multiple singularities,.

Arithmetic with spatiotemporal optical vortex of integer and fractional topological charges Optical vortices 30 years on: OAM manipulation from topological charge to multiple singularities,

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-03T13:16:40.007510Z

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Observation 4dfd5bc2-2a35-4d3f-b958-e07006b1e20f · outbound

This paper cites STED super-resolved microscopy ,.

Arithmetic with spatiotemporal optical vortex of integer and fractional topological charges STED super-resolved microscopy ,

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-03T13:16:40.137870Z

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Observation 3f005907-449e-45df-b275-801cfcb750aa · outbound

This paper cites Tweezers with a twist ,.

Arithmetic with spatiotemporal optical vortex of integer and fractional topological charges Tweezers with a twist ,

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-03T13:16:40.297682Z

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Observation 290ac8a1-0836-4cb1-bf4f-26bcb52844a6 · outbound

This paper cites Metrology with a twist: probing and sensing with vortex light,.

Arithmetic with spatiotemporal optical vortex of integer and fractional topological charges Metrology with a twist: probing and sensing with vortex light,

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-03T13:16:40.464718Z

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Observation 2beda9f5-6822-43cc-a8f9-56ec79d7f313 · outbound

This paper cites Coherent Fourier scatterometry using orbital angular momentum beams for defect detection,.

Arithmetic with spatiotemporal optical vortex of integer and fractional topological charges Coherent Fourier scatterometry using orbital angular momentum beams for defect detection,

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-03T13:16:40.595421Z

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Observation b703eb2c-7233-4d5c-800e-884451be6efb · outbound

This paper cites Orbital angular momentum of light for communications,.

Arithmetic with spatiotemporal optical vortex of integer and fractional topological charges Orbital angular momentum of light for communications,

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-03T13:16:40.729469Z

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Observation 32763306-852d-461f-8d97-ccc0c4994118 · outbound

This paper cites Terabit-scale orbital angular momentum mode division multiplexing in fibers,.

Arithmetic with spatiotemporal optical vortex of integer and fractional topological charges Terabit-scale orbital angular momentum mode division multiplexing in fibers,

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-03T13:16:40.868063Z

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Observation e8b3ca8b-220d-46d3-8aaa-52594b30a859 · outbound

This paper cites Spatio-temporal vortices: Properties, generation and recording,.

Arithmetic with spatiotemporal optical vortex of integer and fractional topological charges Spatio-temporal vortices: Properties, generation and recording,

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-03T13:16:41.013475Z

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Observation 1c2c7c62-f549-4b8a-98bb-cb852dd2d71f · outbound

This paper cites Symmetric and asymmetric solitons and vortices in linearly coupled two -dimensional waveguides with the cubic -quintic nonlinearity ,.

Arithmetic with spatiotemporal optical vortex of integer and fractional topological charges Symmetric and asymmetric solitons and vortices in linearly coupled two -dimensional waveguides with the cubic -quintic nonlinearity ,

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-03T13:16:41.129260Z

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Observation 36187d4e-f270-42ad-ae07-95395a8f8027 · outbound

This paper cites Spatiotemporal vortex beams and angular momentum,.

Arithmetic with spatiotemporal optical vortex of integer and fractional topological charges Spatiotemporal vortex beams and angular momentum,

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-03T13:16:41.254681Z

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Observation 7cd8c1f2-1a25-4ed5-9833-c965055ac23c · outbound

This paper cites Spatiotemporal optical vortices,.

Arithmetic with spatiotemporal optical vortex of integer and fractional topological charges Spatiotemporal optical vortices,

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-03T13:16:41.336001Z

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Observation 4aa66feb-deeb-4aed-b8da-b4dea847ada7 · outbound

This paper cites Free-space propagation of spatiotemporal optical vortices ,.

Arithmetic with spatiotemporal optical vortex of integer and fractional topological charges Free-space propagation of spatiotemporal optical vortices ,

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-03T13:16:41.457417Z

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Observation bef48f52-f740-4c10-af6d-ce2654d9b8e8 · outbound

This paper cites Mode structure and orbital angular momentum of spatiotemporal optical vortex pulses,.

Arithmetic with spatiotemporal optical vortex of integer and fractional topological charges Mode structure and orbital angular momentum of spatiotemporal optical vortex pulses,

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-03T13:16:41.559601Z

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Observation cc1d2d97-c500-4e3c-b9ce-9a0bd390471e · outbound

This paper cites Generation of spatiotemporal optical vortices with controllable transverse orbital angular momentum,.

Arithmetic with spatiotemporal optical vortex of integer and fractional topological charges Generation of spatiotemporal optical vortices with controllable transverse orbital angular momentum,

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-03T13:16:41.664883Z

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Observation 6c7f06dc-233d-418c-881b-d65bfcc0a40d · outbound

This paper cites Second-harmonic generation and the conservation of spatiotemporal orbital angular momentum of light,.

Arithmetic with spatiotemporal optical vortex of integer and fractional topological charges Second-harmonic generation and the conservation of spatiotemporal orbital angular momentum of light,

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-03T13:16:41.786974Z

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Observation cd22eea6-dde0-4fe4-9163-90ced78076d6 · outbound

This paper cites Second-harmonic generation of spatiotemporal optical vortices and conservation of orbital angular momentum,.

Arithmetic with spatiotemporal optical vortex of integer and fractional topological charges Second-harmonic generation of spatiotemporal optical vortices and conservation of orbital angular momentum,

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-03T13:16:41.910344Z

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Observation 24272878-4534-4dd2-835e-f169c394ac76 · outbound

This paper cites Extreme-ultraviolet spatiotemporal vortices via high harmonic generation,.

Arithmetic with spatiotemporal optical vortex of integer and fractional topological charges Extreme-ultraviolet spatiotemporal vortices via high harmonic generation,

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-03T13:16:42.034389Z

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Observation 8905a040-b154-4be3-93f7-538e363692e3 · outbound

This paper cites Spatiotemporal vortex strings,.

Arithmetic with spatiotemporal optical vortex of integer and fractional topological charges Spatiotemporal vortex strings,

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-03T13:16:42.122557Z

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Observation 035ac1ab-78ff-4ed8-bd54-2a61ab1aa326 · outbound

This paper cites Arithmetic with optical topological charges in stepwise -excited Rb vapor,.

Arithmetic with spatiotemporal optical vortex of integer and fractional topological charges Arithmetic with optical topological charges in stepwise -excited Rb vapor,

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-03T13:16:42.203284Z

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Observation 7d632017-9524-48fa-8df0-22c5852a788b · outbound

This paper cites Arithmetic with q-plates. Applied optics,.

Arithmetic with spatiotemporal optical vortex of integer and fractional topological charges Arithmetic with q-plates. Applied optics,

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-03T13:16:42.289838Z

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Observation f5d1f0cd-1f62-424b-935f-cc1620eff941 · outbound

This paper cites Multiplication and division of the orbital angular momentum of light with diffractive transformation optics,.

Arithmetic with spatiotemporal optical vortex of integer and fractional topological charges Multiplication and division of the orbital angular momentum of light with diffractive transformation optics,

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-03T13:16:42.386399Z

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Observation e662e239-efb6-45d9-b7e6-6a1e1dfd4683 · outbound

This paper cites Orbital angular momentum mode logical operation using optical diffractive neural network,.

Arithmetic with spatiotemporal optical vortex of integer and fractional topological charges Orbital angular momentum mode logical operation using optical diffractive neural network,

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-03T13:16:42.479666Z

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Observation fe4597b6-c642-486f-b5c9-7cc175be19cc · outbound

This paper cites Orbital angular momentum deep multiplexing holography via an optical diffractive neural network,.

Arithmetic with spatiotemporal optical vortex of integer and fractional topological charges Orbital angular momentum deep multiplexing holography via an optical diffractive neural network,

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-03T13:16:42.581845Z

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Observation 117b8b64-6f27-4d5b-b3db-8e6d0b689571 · outbound

This paper cites Arithmetic operation of orbital angular momentum of light via slow - light four-wave mixing,.

Arithmetic with spatiotemporal optical vortex of integer and fractional topological charges Arithmetic operation of orbital angular momentum of light via slow - light four-wave mixing,

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-03T13:16:42.673134Z

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Observation cf2fc394-c567-44f8-b355-19cc2cc592be · outbound

This paper cites Experimental optical computing of complex vector convolution with twisted light. Advanced Photonics Nexus ,.

Arithmetic with spatiotemporal optical vortex of integer and fractional topological charges Experimental optical computing of complex vector convolution with twisted light. Advanced Photonics Nexus ,

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-03T13:16:42.787174Z

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Observation af4c4650-f442-4569-9f00-1fa38dd09b57 · outbound

This paper cites Topological photonics for optical communications and quantum computing. Quantum Reports,.

Arithmetic with spatiotemporal optical vortex of integer and fractional topological charges Topological photonics for optical communications and quantum computing. Quantum Reports,

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-03T13:16:42.892083Z

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Observation d67da0bb-c7fd-4ee6-883a-cfa104f008d4 · outbound

This paper cites Ptychographic amplitude and phase reconstruction of bichromatic vortex beams,.

Arithmetic with spatiotemporal optical vortex of integer and fractional topological charges Ptychographic amplitude and phase reconstruction of bichromatic vortex beams,

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-03T13:16:43.036166Z

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Observation 6f9d0f65-9a5a-4f46-b5f7-2106429a6a39 · outbound

This paper cites Coherent Fourier scatterometry using orbital angular momentum beams for defect detection,.

Arithmetic with spatiotemporal optical vortex of integer and fractional topological charges Coherent Fourier scatterometry using orbital angular momentum beams for defect detection,

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-03T13:16:43.132208Z

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Observation 2c22642c-7cea-4a41-9485-85de0fb1715e · outbound

This paper cites Compact single-shot d-scan setup for the characterization of few - cycle laser pulses,.

Arithmetic with spatiotemporal optical vortex of integer and fractional topological charges Compact single-shot d-scan setup for the characterization of few - cycle laser pulses,

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-03T13:16:43.194414Z

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Observation 46d23976-f12b-4770-a7f3-7471172b6e41 · outbound

This paper cites Interferometric technique for measuring broadband ultrashort pulses at the sampling limit,.

Arithmetic with spatiotemporal optical vortex of integer and fractional topological charges Interferometric technique for measuring broadband ultrashort pulses at the sampling limit,

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-03T13:16:43.275958Z

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Observation 8f43dfd8-fc1a-4151-8562-1b878f41d6e5 · outbound

This paper cites Transient-grating single -shot supercontinuum spectral interferometry (TG-SSSI),.

Arithmetic with spatiotemporal optical vortex of integer and fractional topological charges Transient-grating single -shot supercontinuum spectral interferometry (TG-SSSI),

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-03T13:16:43.355197Z

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Observation 82276b5d-d3b8-41de-817e-3ac6e63e0dd1 · outbound

This paper cites Single-Frame Characterization of Ultrafast Pulses with Spatiotemporal Orbital Angular Momentum,.

Arithmetic with spatiotemporal optical vortex of integer and fractional topological charges Single-Frame Characterization of Ultrafast Pulses with Spatiotemporal Orbital Angular Momentum,

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-03T13:16:43.417794Z

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Observation 3865437f-f299-4ed1-9298-638f3b8e483c · outbound

This paper cites Transverse orbital angular momentum and polarization entangled spatiotemporal structured light,.

Arithmetic with spatiotemporal optical vortex of integer and fractional topological charges Transverse orbital angular momentum and polarization entangled spatiotemporal structured light,

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-03T13:16:43.482509Z

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Observation 2fb79ce1-de30-474a-9cda-1bd2f9edf81b · outbound

This paper cites Observation of spatiotemporal optical vortices enabled by symmetry - breaking slanted nanograting,.

Arithmetic with spatiotemporal optical vortex of integer and fractional topological charges Observation of spatiotemporal optical vortices enabled by symmetry - breaking slanted nanograting,

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-03T13:16:43.570973Z

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Observation 865b3321-3c6d-41c3-b04c-f2e839912791 · outbound

This paper cites Fractional spatiotemporal optical vortices.

Arithmetic with spatiotemporal optical vortex of integer and fractional topological charges Fractional spatiotemporal optical vortices

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-03T13:16:43.700728Z

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Observation d64d32df-0a79-4b13-b0a2-3ab2d0bc1b3a · outbound

This paper cites Properties of the generation and propagation of spatiotemporal optical vortices,.

Arithmetic with spatiotemporal optical vortex of integer and fractional topological charges Properties of the generation and propagation of spatiotemporal optical vortices,

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-03T13:16:43.831416Z

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Observation 196436b7-a97b-46c2-bbcd-6fab9c468251 · outbound

This paper cites Propagation of higher-order spatiotemporal vortices,.

Arithmetic with spatiotemporal optical vortex of integer and fractional topological charges Propagation of higher-order spatiotemporal vortices,

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-03T13:16:43.981913Z

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Observation c732d6c8-65f8-450a-a64e-471324f51c87 · outbound

This paper cites Optimization of Transverse OAM Transmission through Few -Mode Fiber,.

Arithmetic with spatiotemporal optical vortex of integer and fractional topological charges Optimization of Transverse OAM Transmission through Few -Mode Fiber,

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-03T13:16:44.152437Z

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Observation 9cc530d1-d5cd-4189-aa0f-43ade8843e01 · outbound

This paper cites Propagation of transverse photonic orbital angular momentum through few-mode fiber,.

Arithmetic with spatiotemporal optical vortex of integer and fractional topological charges Propagation of transverse photonic orbital angular momentum through few-mode fiber,

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-03T13:16:44.301451Z

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Observation cf4edfe8-9b82-4d66-bb95-7f06a90547b5 · outbound

This paper cites S1 below.

Arithmetic with spatiotemporal optical vortex of integer and fractional topological charges S1 below

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-03T13:16:44.423496Z

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Observation bc80055c-cbfa-45e7-957b-b3ed228bd65c · outbound

This paper cites Any deviation from an ideal 4 f optical relay system would lead to a blurred imaging spectrometer output, which prevents accurate decoding of the ST –TC.

Arithmetic with spatiotemporal optical vortex of integer and fractional topological charges Any deviation from an ideal 4 f optical relay system would lead to a blurred imaging spectrometer output, which prevents accurate decoding of the ST –TC

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-03T13:16:44.587412Z

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Observation 9ee42011-e976-4d59-b6ad-1ac1f289c067 · outbound

This paper cites It can be achieved by simply determining the number of gaps between the bright primary lobes present in the raw x–ω spectral images.

Arithmetic with spatiotemporal optical vortex of integer and fractional topological charges It can be achieved by simply determining the number of gaps between the bright primary lobes present in the raw x–ω spectral images

Reference 42

Resolution: unresolved; no resolver link, observed 2026-08-03T13:16:44.784402Z

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