Pith Number

pith:PUUDPGYI

pith:2026:PUUDPGYISM5DF2DPCPGPYK3UU2

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Method of Fundamental Solutions for Maxwell's Equations in Bi-Periodic Multilayered Media

Bowei Wu, Jared Weed, Jingfang Huang, Min Hyung Cho

A periodization scheme using proxy sources on spheres makes the Method of Fundamental Solutions accurate for Maxwell's equations in bi-periodic multilayered media.

arxiv:2605.15527 v1 · 2026-05-15 · math.NA · cs.NA · physics.comp-ph

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\pithnumber{PUUDPGYISM5DF2DPCPGPYK3UU2}

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Record completeness

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2 Internet Archive

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4 Citations open

5 Replications open

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Claims

C1strongest claim

The scheme is verified with known solutions and exhibits exponential convergence close to 10^{-14} for both single and multiple interfaces. An example with 39 interfaces is presented to demonstrate the solver's performance.

C2weakest assumption

The distant interactions can be accurately approximated by a finite number of proxy source points placed on spheres surrounding the unit cell without introducing significant truncation or approximation errors that would degrade the overall convergence or accuracy for large numbers of layers.

C3one line summary

A periodized Method of Fundamental Solutions is introduced for Maxwell's equations in bi-periodic multilayered media, achieving exponential convergence to near machine precision.

References

36 extracted · 36 resolved · 0 Pith anchors

[1] B. T. DeBoi, A. N. Lemmon, B. McPherson, B. Passmore, Improved methodology for parasitic analysis of high-performance silicon carbide power modules, IEEE Transactions on Power Electronics 37 (10) (202 2022

[2] B. Kim, H. Jeon, D. Park, G. Kim, N.-H. Cho, J. Khim, Emi shielding leadless package solution for automotive, Journal of Advanced Joining Processes 5 (2022) 100102. 19 2022

[3] H. A. Atwater, A. Polman, Plasmonics for improved photovoltaic devices, Materials for sustainable energy: a collection of peer-reviewed research and review articles from Nature Publishing Group (2011) 2011

[4] M. D. Kelzenberg, S. W. Boettcher, J. A. Petykiewicz, D. B. Turner-Evans, M. C. Putnam, E. L. Warren, J. M. Spurgeon, R. M. Briggs, N. S. Lewis, H. A. Atwater, Enhanced absorp- tion and carrier collec 2010

[5] M. Perry, R. Boyd, J. Britten, D. Decker, B. Shore, C. Shannon, E. Shults, High-efficiency multilayer dielectric diffraction gratings, Optics letters 20 (8) (1995) 940–942 1995

Formal links

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Receipt and verification

First computed	2026-05-20T00:01:03.496272Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d28379b08933a32e86f13ccfc2b74a6913f60c7525e602a8323aa664c1ff26a

Aliases

arxiv: 2605.15527 · arxiv_version: 2605.15527v1 · doi: 10.48550/arxiv.2605.15527 · pith_short_12: PUUDPGYISM5D · pith_short_16: PUUDPGYISM5DF2DP · pith_short_8: PUUDPGYI

Agent API

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/PUUDPGYISM5DF2DPCPGPYK3UU2 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 7d28379b08933a32e86f13ccfc2b74a6913f60c7525e602a8323aa664c1ff26a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37dfd72da7078e234428ed08ca7c8883aed16e1cccd0d0147728ba5e82ecfebd",
    "cross_cats_sorted": [
      "cs.NA",
      "physics.comp-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2026-05-15T01:51:11Z",
    "title_canon_sha256": "af1a9a065a3a3c9cf5f123c03f4077ee3ea226beb5c261f3b40c4b1bb19d1ecf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.15527",
    "kind": "arxiv",
    "version": 1
  }
}