Pith Number

pith:5NISF7K2

pith:2026:5NISF7K2VTODZDV6WLTS6OTRZM

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A Unified SU(2) Framework for Vector Beam Transformations and Complex Beam Shaping

Gayathri G T, Gururaj Kadiri

A single doubly inhomogeneous waveplate can implement any prescribed vector beam transformation exactly, including global phase, when a specific condition is met.

arxiv:2605.06566 v2 · 2026-05-07 · physics.optics · quant-ph

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Claims

C1strongest claim

We identify a condition under which a single element implements a prescribed transformation exactly, including the global phase, and provide an explicit prescription for constructing the corresponding doubly inhomogeneous waveplate (d-plate) when this condition is satisfied, along with its realization using a finite sequence of singly inhomogeneous plates, including a QHQ configuration.

C2weakest assumption

The assumption that birefringent optical elements can be engineered to realize the required spatially varying SU(2) operations exactly (including global phase) without losses, imperfections, or deviations from the ideal model, and that the identified condition for single-element implementation holds for the target transformations.

C3one line summary

A constructive SU(2) framework treats vector beam transformations as spatially varying operations, enabling exact design of doubly inhomogeneous waveplates under an identified condition and unifying structured light problems with quantum channel realizations on orbital angular momentum.

Cited by

2 papers in Pith

A Unified SU(2) Framework for Vector Beam Transformations and Complex Beam Shaping

Receipt and verification

First computed	2026-05-20T00:05:46.262868Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb5122fd5aacdc3c8ebeb2e72f3a71cb03f50bd9eab1e517f4741183ebc247cc

Aliases

arxiv: 2605.06566 · arxiv_version: 2605.06566v2 · doi: 10.48550/arxiv.2605.06566 · pith_short_12: 5NISF7K2VTOD · pith_short_16: 5NISF7K2VTODZDV6 · pith_short_8: 5NISF7K2

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/5NISF7K2VTODZDV6WLTS6OTRZM \
  | 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: eb5122fd5aacdc3c8ebeb2e72f3a71cb03f50bd9eab1e517f4741183ebc247cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a6eae16d558391075047e3e9a46bbf629b1f61bbfc2510bc5c7100fea1f7647",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2026-05-07T16:59:18Z",
    "title_canon_sha256": "bb5a839eaa4ee6186a7c7498930746331018f0b6e527a3383d1d25b1c6df472f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.06566",
    "kind": "arxiv",
    "version": 2
  }
}