Pith Number

pith:YBHS746D

pith:2026:YBHS746DHAWTALX4ZLL3PPM566

not attested not anchored not stored refs resolved

Self-healing of the Montgomery pattern

Alfonso Palmieri, Athena Xu, Ayman F. Abouraddy, Federico Capasso, Murat Yessenov, Oscar de Vries

The Montgomery pattern recovers its transverse profile only at integer multiples of its self-imaging period after partial obstruction.

arxiv:2605.18318 v1 · 2026-05-18 · physics.optics

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\pithnumber{YBHS746DHAWTALX4ZLL3PPM566}

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Record completeness

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2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

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The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Claims

C1strongest claim

Using Babinet's principle, the recovery distance for the Montgomery pattern is quantized in integer multiples of the self-imaging period, a qualitative distinction from all previously studied self-healing beams.

C2weakest assumption

The assumption that Babinet's principle applies directly to the partial obstruction of the Montgomery pattern without additional phase or amplitude effects from the specific self-imaging geometry or the holographic generation method.

C3one line summary

Montgomery patterns self-heal with recovery distances quantized in integer multiples of the self-imaging period, shown via Babinet's principle and holographic experiments with obstructions up to 20 times the spot size.

References

36 extracted · 36 resolved · 0 Pith anchors

[1] H. F. Talbot, Philos. Mag.9, 401 (1836)

[2] W. D. Montgomery, J. Opt. Soc. Am.57, 772 (1967) 1967

[3] J. Jahns, H. Knuppertz, and A. W. Lohmann, Optics Communications225, 13

[4] Indebetouw, Journal of the Optical Society of America A9, 549 (1992) 1992

[5] A. W. Lohmann, H. Knuppertz, and J. Jahns, JOSA A 22, 1500 (2005) 2005

Receipt and verification

First computed	2026-05-20T00:05:55.015293Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c04f2ff3c3382d302efccad7b7bd9df7b83c4685f7ba49241447094ed5166fe0

Aliases

arxiv: 2605.18318 · arxiv_version: 2605.18318v1 · doi: 10.48550/arxiv.2605.18318 · pith_short_12: YBHS746DHAWT · pith_short_16: YBHS746DHAWTALX4 · pith_short_8: YBHS746D

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/YBHS746DHAWTALX4ZLL3PPM566 \
  | 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: c04f2ff3c3382d302efccad7b7bd9df7b83c4685f7ba49241447094ed5166fe0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "739ad3f0b27b040e80c859a1961984668ed209de9fa8ccab772524ac156aaabd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2026-05-18T12:37:53Z",
    "title_canon_sha256": "62f91c7d81dbfee0139dc401538c095c44fbd94e356e858d3c9bd5965e89234e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.18318",
    "kind": "arxiv",
    "version": 1
  }
}