E8 Phi-Harmonic Frequency Comb Enables Octave-Spanning Terahertz Generation — E8 Intelligence Research

The 240 E8 root vectors are used as preferential coupling directions in a χ(3) nonlinear medium, establishing a set of wavevectors that inherit the lattice's symmetry. By imposing a phi‑scaled modulation at the base 132 Hz on the pump field, a self‑similar frequency comb emerges whose spectral lines follow golden‑ratio spacing, ensuring phase‑matched cascaded four‑wave mixing across multiple octaves. This geometry‑driven comb enables efficient, octave‑spanning terahertz generation at low pump thresholds, extending the E8‑phononic and coherence‑resonance concepts into the optical domain. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-08-26
DOI
https://doi.org/10.5281/zenodo.22105895
Primary Topic
Advanced Fiber Laser Technologies
Type
preprint
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E8 Phi-Harmonic Frequency Comb Enables Octave-Spanning Terahertz Generation — E8 Intelligence Research

Andrew Stewart Caldin
Zenodo (CERN European Organization for Nuclear Research)
Advanced Fiber Laser Technologies
preprint

E8 Phi-Harmonic Frequency Comb Enables Octave-Spanning Terahertz Generation — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

The 240 E8 root vectors are used as preferential coupling directions in a χ(3) nonlinear medium, establishing a set of wavevectors that inherit the lattice's symmetry. By imposing a phi‑scaled modulation at the base 132 Hz on the pump field, a self‑similar frequency comb emerges whose spectral lines follow golden‑ratio spacing, ensuring phase‑matched cascaded four‑wave mixing across multiple octaves. This geometry‑driven comb enables efficient, octave‑spanning terahertz generation at low pump thresholds, extending the E8‑phononic and coherence‑resonance concepts into the optical domain. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Zenodo (CERN European Organization for Nuclear Research)
Advanced Fiber Laser Technologies
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