Paper Citation Record · LEDGER

A geometric approach to QNMs in optics: application to pseudospectrum and structural stability

As of 13 August 2026, this Paper Citation Record lists 64 of 64 outbound references and 1 inbound Pith citation observation for arXiv:2607.25133.

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

pith.paper-citation-record.v1
2607.25133 v1

Coverage vector

measured 64 of 64 reference resolution

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measured 65 of 65 standing notices

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measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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

Source: cited_works

Reference resolution

64 of 64 outbound references displayed

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External citation measurements

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Outbound references

Observation 313032cf-8a37-4c87-a9f0-2dbfbf622707 · outbound

This paper cites Outgoing boundary conditions are designed to enforce the Sommerfeld radiation condition at infinity, ensuring that no waves enter the system from infinity.

A geometric approach to QNMs in optics: application to pseudospectrum and structural stability Outgoing boundary conditions are designed to enforce the Sommerfeld radiation condition at infinity, ensuring that no waves enter the system from infinity

Reference 1

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Observation 2f764461-fa46-4cbc-84dd-155af0c66faf · outbound

This paper cites • The spacing between consecutive real parts approaches a constant in the high-frequency limit.

A geometric approach to QNMs in optics: application to pseudospectrum and structural stability • The spacing between consecutive real parts approaches a constant in the high-frequency limit

Reference 2

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Observation d94c5d77-1750-4c1c-92bf-46d22b632ab3 · outbound

This paper cites an unresolved cited work.

A geometric approach to QNMs in optics: application to pseudospectrum and structural stability Unresolved cited work

Reference 3

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Observation d80c16c5-5e84-46c1-9c9c-d413926dae09 · outbound

This paper cites Figure 8 corresponds to a cavity with constant permittivity ϵII.

A geometric approach to QNMs in optics: application to pseudospectrum and structural stability Figure 8 corresponds to a cavity with constant permittivity ϵII

Reference 4

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Observation 8fd35d2d-131f-44a8-9732-965956983155 · outbound

This paper cites Figure 10 shows the pseudospectrum for a cavity with con- stant permittivityϵ= 2.

A geometric approach to QNMs in optics: application to pseudospectrum and structural stability Figure 10 shows the pseudospectrum for a cavity with con- stant permittivityϵ= 2

Reference 5

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Observation 8aab0513-29b8-4dc0-aa8c-92c5a64eb4f6 · outbound

This paper cites logarithmic.

A geometric approach to QNMs in optics: application to pseudospectrum and structural stability logarithmic

Reference 6

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Observation 3b07baea-8ce6-408a-bd51-9ddbd40e8af2 · outbound

This paper cites an unresolved cited work.

A geometric approach to QNMs in optics: application to pseudospectrum and structural stability Unresolved cited work

Reference 7

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Observation e4711670-294e-475e-a711-202d3cb61b8f · outbound

This paper cites A geometric approach to QNMs in optics: application to pseudospectrum and structural stability.

A geometric approach to QNMs in optics: application to pseudospectrum and structural stability A geometric approach to QNMs in optics: application to pseudospectrum and structural stability

Reference 8

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This paper cites an unresolved cited work.

A geometric approach to QNMs in optics: application to pseudospectrum and structural stability Unresolved cited work

Reference 9

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This paper cites Having that makes a potential case a special ”mathe- matical” case of the permittivity one.

A geometric approach to QNMs in optics: application to pseudospectrum and structural stability Having that makes a potential case a special ”mathe- matical” case of the permittivity one

Reference 10

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A geometric approach to QNMs in optics: application to pseudospectrum and structural stability Unresolved cited work

Reference 11

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Observation bb4cae6f-fa92-4e3b-bda1-2013fd43ed24 · outbound

This paper cites xj = cos( π(j+ 1 2 ) N+ 1 ) :j= 0,1,2, ...., N(B7) Andϕ j = π(j+ 1 2 ) N+1.

A geometric approach to QNMs in optics: application to pseudospectrum and structural stability xj = cos( π(j+ 1 2 ) N+ 1 ) :j= 0,1,2, ...., N(B7) Andϕ j = π(j+ 1 2 ) N+1

Reference 12

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Observation 745fd2c8-ab10-40de-9bb3-9548c15111f2 · outbound

This paper cites (B24) 19.

A geometric approach to QNMs in optics: application to pseudospectrum and structural stability (B24) 19

Reference 13

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A geometric approach to QNMs in optics: application to pseudospectrum and structural stability Unresolved cited work

Reference 14

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Observation 8be5e1da-18e8-4323-8106-61d2f2714faf · outbound

This paper cites an unresolved cited work.

A geometric approach to QNMs in optics: application to pseudospectrum and structural stability Unresolved cited work

Reference 15

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Observation fa5e309f-7066-4c73-bead-693fd860628a · outbound

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A geometric approach to QNMs in optics: application to pseudospectrum and structural stability Unresolved cited work

Reference 16

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Observation 05f264db-f0e8-4cb8-90be-fd494006943f · outbound

This paper cites (18) of the main text.

A geometric approach to QNMs in optics: application to pseudospectrum and structural stability (18) of the main text

Reference 17

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Observation 7fa0c00f-d248-424e-b928-c0f06a2a284b · outbound

This paper cites This simplification transforms Maxwell’s curl equa- tions into one-dimensional derivatives while retaining the dis- persive structure.

A geometric approach to QNMs in optics: application to pseudospectrum and structural stability This simplification transforms Maxwell’s curl equa- tions into one-dimensional derivatives while retaining the dis- persive structure

Reference 18

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A geometric approach to QNMs in optics: application to pseudospectrum and structural stability Unresolved cited work

Reference 19

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This paper cites Theses, Universit ´e Bourgogne Franche- Comt´e (2022).

A geometric approach to QNMs in optics: application to pseudospectrum and structural stability Theses, Universit ´e Bourgogne Franche- Comt´e (2022)

Reference 20

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This paper cites Physical Review Letters110(23), 237,401 (2013).

A geometric approach to QNMs in optics: application to pseudospectrum and structural stability Physical Review Letters110(23), 237,401 (2013)

Reference 21

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A geometric approach to QNMs in optics: application to pseudospectrum and structural stability Unresolved cited work

Reference 22

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Observation 5fbdf973-2be7-4295-b0d5-74d4d7a3d7f8 · outbound

This paper cites Laser & Photonics Reviews12(5), 1700,113 (2018).

A geometric approach to QNMs in optics: application to pseudospectrum and structural stability Laser & Photonics Reviews12(5), 1700,113 (2018)

Reference 23

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This paper cites SIAM Journal on Scientific Computing48(3), A1075–A1100 (2026).

A geometric approach to QNMs in optics: application to pseudospectrum and structural stability SIAM Journal on Scientific Computing48(3), A1075–A1100 (2026)

Reference 24

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A geometric approach to QNMs in optics: application to pseudospectrum and structural stability Finite Elements for Helmholtz Scattering with Infinity as a Computational Boundary

Reference 25

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This paper cites Frontiers in Physics Volume 12 - 2024(2024).

A geometric approach to QNMs in optics: application to pseudospectrum and structural stability Frontiers in Physics Volume 12 - 2024(2024)

Reference 26

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This paper cites Science261(5121), 578–584 (1993).

A geometric approach to QNMs in optics: application to pseudospectrum and structural stability Science261(5121), 578–584 (1993)

Reference 27

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This paper cites Princeton Uni- versity Press (2005).

A geometric approach to QNMs in optics: application to pseudospectrum and structural stability Princeton Uni- versity Press (2005)

Reference 28

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A geometric approach to QNMs in optics: application to pseudospectrum and structural stability Journal of Mathematical Physics56(10) (2015)

Reference 29

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A geometric approach to QNMs in optics: application to pseudospectrum and structural stability Unresolved cited work

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This paper cites Frontiers in PhysicsVol- ume 13 - 2025(2026).

A geometric approach to QNMs in optics: application to pseudospectrum and structural stability Frontiers in PhysicsVol- ume 13 - 2025(2026)

Reference 31

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This paper cites Communications in Mathematical Physics306(1), 119–163 (2011).

A geometric approach to QNMs in optics: application to pseudospectrum and structural stability Communications in Mathematical Physics306(1), 119–163 (2011)

Reference 32

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A geometric approach to QNMs in optics: application to pseudospectrum and structural stability Graduate Studies in Mathematics

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A geometric approach to QNMs in optics: application to pseudospectrum and structural stability Laser & Photonics Reviews19(9), 2402,133 (2025)

Reference 36

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A geometric approach to QNMs in optics: application to pseudospectrum and structural stability Physical Review D98(12) (2018)

Reference 37

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A geometric approach to QNMs in optics: application to pseudospectrum and structural stability Classical and Quantum Gravity37(6), 065,019 (2020)

Reference 38

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A geometric approach to QNMs in optics: application to pseudospectrum and structural stability Physical Review D83(12) (2011)

Reference 39

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A geometric approach to QNMs in optics: application to pseudospectrum and structural stability 187 (2013)

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A geometric approach to QNMs in optics: application to pseudospectrum and structural stability Scientific Com- putation

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A geometric approach to QNMs in optics: application to pseudospectrum and structural stability Software, Envi- ronments, and Tools

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A geometric approach to QNMs in optics: application to pseudospectrum and structural stability Progress of Theoretical Physics33(6), 1116–1128 (1965)

Reference 45

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A geometric approach to QNMs in optics: application to pseudospectrum and structural stability American Journal of Physics42(4), 310–315 (1974)

Reference 46

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A geometric approach to QNMs in optics: application to pseudospectrum and structural stability Canadian Journal of Physics89(11), 1127–1140 (2011)

Reference 47

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A geometric approach to QNMs in optics: application to pseudospectrum and structural stability Zeitschrift f¨ur Physik204(212) (1928)

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A geometric approach to QNMs in optics: application to pseudospectrum and structural stability Proceedings of the Royal Society of London

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A geometric approach to QNMs in optics: application to pseudospectrum and structural stability Pseudo- Differential Operators

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A geometric approach to QNMs in optics: application to pseudospectrum and structural stability doi:10.1088/1361-6382/ac5054

Reference 53

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A geometric approach to QNMs in optics: application to pseudospectrum and structural stability General Relativity and Gravitation57(2025)

Reference 54

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A geometric approach to QNMs in optics: application to pseudospectrum and structural stability Bulletin of Mathemat- ical Sciences6(3), 379–452 (2016)

Reference 55

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This paper cites Frontiers in PhysicsVol- ume 12 - 2024(2025).

A geometric approach to QNMs in optics: application to pseudospectrum and structural stability Frontiers in PhysicsVol- ume 12 - 2024(2025)

Reference 57

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A geometric approach to QNMs in optics: application to pseudospectrum and structural stability Unresolved cited work

Reference 58

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Observation 4b13aa56-cebf-4128-9464-ce44e31cd593 · outbound

This paper cites Tellus24(3), 199–215 (1972).

A geometric approach to QNMs in optics: application to pseudospectrum and structural stability Tellus24(3), 199–215 (1972)

Reference 59

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Observation 5d6bcbdf-dc3d-4341-959d-f1afd2f95737 · outbound

This paper cites Studies in Applied Mathematics51(3), 253–259 (1972).

A geometric approach to QNMs in optics: application to pseudospectrum and structural stability Studies in Applied Mathematics51(3), 253–259 (1972)

Reference 60

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Observation 6be29806-3793-4046-ad32-60327e4c850c · outbound

This paper cites The Physics of Fluids12(12), II–250 (1969).

A geometric approach to QNMs in optics: application to pseudospectrum and structural stability The Physics of Fluids12(12), II–250 (1969)

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Observation e56f4b23-ff65-474f-a6e3-1d99059096d9 · outbound

This paper cites SIAM Journal on Numerical Analysis21(4), 695– 715 (1984).

A geometric approach to QNMs in optics: application to pseudospectrum and structural stability SIAM Journal on Numerical Analysis21(4), 695– 715 (1984)

Reference 62

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Observation 833a1a4f-237f-416c-bbac-ec2eb743c5f5 · outbound

This paper cites Journal of Computational Physics27(3), 323–350 (1978).

A geometric approach to QNMs in optics: application to pseudospectrum and structural stability Journal of Computational Physics27(3), 323–350 (1978)

Reference 63

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Observation 184d2797-9b8a-40c1-b272-9cc0f917f52e · outbound

This paper cites an unresolved cited work.

A geometric approach to QNMs in optics: application to pseudospectrum and structural stability Unresolved cited work

Reference 64

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Observation 7b133870-c3cc-48b3-a7b3-6db8a15254c2 · outbound

This paper cites Engineering Analysis with Boundary Elements27(3), 251–257 (2003).

A geometric approach to QNMs in optics: application to pseudospectrum and structural stability Engineering Analysis with Boundary Elements27(3), 251–257 (2003)

Reference 65

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Pith citing papers

Observation e4711670-294e-475e-a711-202d3cb61b8f · inbound