Pith Number

pith:F7PGGWWI

pith:2026:F7PGGWWIFMAK3ZP3UZ6XAMONBL

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Thermal Deformation Reduction in High-Power Interferometry with Higher-Order Laser Modes

Liu Tao, Paul Fulda, Yuhang Zhao, Zong-Hong Zhu

Higher-order laser modes reduce the curvature correction needed for thermal deformation by up to 76 percent compared with the fundamental Gaussian mode.

arxiv:2605.10222 v1 · 2026-05-11 · astro-ph.IM · physics.optics

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Claims

C1strongest claim

Under identical operating conditions, higher-order modes produce substantially more uniform thermal distortions than the fundamental mode, requiring significantly less thermal compensation power. The optimal curvature correction is reduced to 33% for the LG2,2 mode and 24% for the HG3,3 mode relative to the fundamental mode.

C2weakest assumption

The thermal deformation model assumes uniform coating absorption and perfect higher-order mode profiles without accounting for real-world imperfections such as coating inhomogeneities, mode mismatch, or dynamic thermal lensing feedback that could alter the actual intensity distribution.

C3one line summary

Higher-order modes reduce absorption-induced thermal deformation in high-power interferometers, cutting optimal curvature correction to 33% for LG2,2 and 24% for HG3,3 versus the fundamental mode while improving optical loss and modal purity.

References

49 extracted · 49 resolved · 1 Pith anchors

[1] Calculate and rescale the thermal distortion mirror maps for the surface and substrate fromFEniCSx according to the absorbed power at the specified circulating power

[2] Apply the mirror maps to both IM and EM in 0 2 4 6 8 10 12 Curvature Actuation [ µD] 10−1 100 101 Single Bounce Scattering Loss [%] HG0,0 LG2,2 HG3,3 FIG. 7: Single-bounce scattering loss induced by t

[3] Determine the required input power to achieve the target arm power based on the optical gain

[4] Compute the corresponding modal impurity us- ing theamplitude detectorA n,m and thepower detectorP arm inFinesse. B. Single-bounce scattering loss To quantify the mode scattering effect of the ther- m

[5] 2025, title Advanced LIGO detector performance in the fourth observing run, Phys 2025 · doi:10.1103/physrevd.111.062002

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Cited by

1 paper in Pith

Improving Beam Quality in Gravitational-Wave Interferometers Illuminated by Higher-Order Laguerre-Gaussian Modes

Receipt and verification

First computed	2026-07-17T01:21:50.395583Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2fde635ac82b00ade5fba67d7031cd0ad49c96f198c72ed0155dddc902110468

Aliases

arxiv: 2605.10222 · arxiv_version: 2605.10222v1 · doi: 10.48550/arxiv.2605.10222 · pith_short_12: F7PGGWWIFMAK · pith_short_16: F7PGGWWIFMAK3ZP3 · pith_short_8: F7PGGWWI

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/F7PGGWWIFMAK3ZP3UZ6XAMONBL \
  | 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: 2fde635ac82b00ade5fba67d7031cd0ad49c96f198c72ed0155dddc902110468

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "219518c3512c397beaf920b6531a7996407d844624a164bb3bbacee794b55ea9",
    "cross_cats_sorted": [
      "physics.optics"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.IM",
    "submitted_at": "2026-05-11T09:01:48Z",
    "title_canon_sha256": "56b8e4469b304ef7389d973cea62c8c3274c3b88fcb8a90e9d3d27633d58abea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.10222",
    "kind": "arxiv",
    "version": 1
  }
}