Phase-Matched Harmonic Generation in Strongly Magnetized Plasma
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866915738627866624 |
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| author | Cao, S. Edwards, M. R. |
| author_facet | Cao, S. Edwards, M. R. |
| contents | Harmonic generation in underdense spatially homogeneous plasma is generally expected to be inefficient: in an unmagnetized uniform plasma the fundamental and its harmonics cannot be phase-matched, resulting in third-harmonic generation efficiencies of no more than $10^{-5}$. Here, we describe how a strong uniform magnetic field allows phase-matched harmonic generation in constant-density plasma. We derive phase-matching relations for Type I and Type II second-, third-, and fourth-harmonic generation, and confirm these relations with particle-in-cell simulations. These simulations show that for weakly relativistic femtosecond pulses the efficiencies of second-, third-, and fourth-harmonic generation can reach at least 70%, 14%, and 2% respectively. Additionally, if driven by a two-color beam, third harmonic generation is found to be over 70% efficient and fourth harmonic generation is found to be over 30% efficient. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_04288 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Phase-Matched Harmonic Generation in Strongly Magnetized Plasma Cao, S. Edwards, M. R. Plasma Physics Optics Harmonic generation in underdense spatially homogeneous plasma is generally expected to be inefficient: in an unmagnetized uniform plasma the fundamental and its harmonics cannot be phase-matched, resulting in third-harmonic generation efficiencies of no more than $10^{-5}$. Here, we describe how a strong uniform magnetic field allows phase-matched harmonic generation in constant-density plasma. We derive phase-matching relations for Type I and Type II second-, third-, and fourth-harmonic generation, and confirm these relations with particle-in-cell simulations. These simulations show that for weakly relativistic femtosecond pulses the efficiencies of second-, third-, and fourth-harmonic generation can reach at least 70%, 14%, and 2% respectively. Additionally, if driven by a two-color beam, third harmonic generation is found to be over 70% efficient and fourth harmonic generation is found to be over 30% efficient. |
| title | Phase-Matched Harmonic Generation in Strongly Magnetized Plasma |
| topic | Plasma Physics Optics |
| url | https://arxiv.org/abs/2504.04288 |