Pith Number

pith:GETEZMIX

pith:2026:GETEZMIX247BZSCC7CEA62K56V

not attested not anchored not stored refs resolved

Amplitude Noise Suppression in Frequency-Doubled Lasers: A Lyapunov Mechanism for Intensity Stabilization in Coupled Oscillator Systems

Thomas M. Baer

Chi-squared coupled-wave dynamics in frequency-doubled lasers admit a Lyapunov functional that suppresses amplitude noise by driving modes to constant intensity.

arxiv:2605.13745 v1 · 2026-05-13 · physics.optics

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GETEZMIX247BZSCC7CEA62K56V}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

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

We show that the chi2 coupled-wave dynamics in the doubling crystal admit a Lyapunov functional whose monotone decrease under each crystal pass establishes a constant-intensity manifold as the per-pass descent target of the mode dynamics.

C2weakest assumption

That the chi2 coupled-wave equations dominate the intracavity dynamics and that no other loss channels or cavity effects prevent the Lyapunov functional from monotonically decreasing to the constant-intensity manifold.

C3one line summary

Chi2 coupling in intracavity frequency doubling admits a Lyapunov functional that monotonically decreases to a constant-intensity manifold, yielding 100-fold noise suppression beyond partition statistics in an Nd:YVO4-LBO laser.

References

31 extracted · 31 resolved · 0 Pith anchors

[1] T. Baer, Large-amplitude fluctuations due to longitudi- nal mode coupling in diode-pumped intracavity-doubled Nd:YAG lasers, J. Opt. Soc. Am. B3, 1175 (1986) 1986

[2] S. E. Harris and R. Targ, FM oscillation of the He-Ne laser, Appl. Phys. Lett.5, 202 (1964) 1964

[3] C. R. Wu and L. Mandel, Deterministic chaos in a laser with a saturable absorber, J. Opt. Soc. Am. B4, 1870 (1987) 1987

[4] K. Wiesenfeld, C. Bracikowski, G. James, and R. Roy, Observation of antiphase states in a multimode laser, Phys. Rev. Lett.65, 1749 (1990) 1990

[5] Chaos in a multimode solid-state laser system, 1993

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-18T02:44:16.420125Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31264cb117d73e1cc842f8880f695df56a87def747dacb8127055d41e063f871

Aliases

arxiv: 2605.13745 · arxiv_version: 2605.13745v1 · doi: 10.48550/arxiv.2605.13745 · pith_short_12: GETEZMIX247B · pith_short_16: GETEZMIX247BZSCC · pith_short_8: GETEZMIX

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/GETEZMIX247BZSCC7CEA62K56V \
  | 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: 31264cb117d73e1cc842f8880f695df56a87def747dacb8127055d41e063f871

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad88ad1de7efa167af703e96b18c19f9e0460a1f11868d8a28c3a9fffea9b179",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2026-05-13T16:22:53Z",
    "title_canon_sha256": "a203bdfb67c0fb3b4bf529e208941be0a8db7a93b71422b42c8e33c5c54aaeb0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.13745",
    "kind": "arxiv",
    "version": 1
  }
}