### Abstract

Summary form only given. In this paper, we show that the argument about vanishing THG breaks down under relativistic conditions. We consider the motion of a free electron in an intense laser field of wavelength λ. For field strengths of the order of mc^{2}/λe, which for λ=1 μm corresponds to an intensity of the order of 2×10^{17} W/cm^{2}, the electron is accelerated to relativistic velocities in a single optical period, and thus the excursion of the electron from its equilibrium position occurs over a distance of the order of λ. Under such conditions, the radiation emitted by the electron cannot be described within the electric dipole approximation, and in fact cannot be well described by a multipole expansion for a finite number of terms. We instead calculate the intensity of the emitted radiation through the use of the Lenard-Wiechert potentials.

Original language | English |
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Title of host publication | Technical Digest - Summaries of Papers Presented at the Quantum Electronics and Laser Science Conference, QELS 2001 |

Publisher | Institute of Electrical and Electronics Engineers Inc. |

Pages | 274-275 |

Number of pages | 2 |

ISBN (Print) | 155752663X, 9781557526632 |

DOIs | |

Publication status | Published - 2001 |

Externally published | Yes |

Event | Quantum Electronics and Laser Science Conference, QELS 2001 - Baltimore, United States Duration: 2001 May 6 → 2001 May 11 |

### Other

Other | Quantum Electronics and Laser Science Conference, QELS 2001 |
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Country | United States |

City | Baltimore |

Period | 01/5/6 → 01/5/11 |

### Fingerprint

### ASJC Scopus subject areas

- Electrical and Electronic Engineering
- Radiation

### Cite this

*Technical Digest - Summaries of Papers Presented at the Quantum Electronics and Laser Science Conference, QELS 2001*(pp. 274-275). [962241] Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/QELS.2001.962241

**Theory of relativistic harmonic generation.** / Park, Q Han; Boyd, R. W.; Sipe, J. E.; Gaeta, A. L.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*Technical Digest - Summaries of Papers Presented at the Quantum Electronics and Laser Science Conference, QELS 2001.*, 962241, Institute of Electrical and Electronics Engineers Inc., pp. 274-275, Quantum Electronics and Laser Science Conference, QELS 2001, Baltimore, United States, 01/5/6. https://doi.org/10.1109/QELS.2001.962241

}

TY - GEN

T1 - Theory of relativistic harmonic generation

AU - Park, Q Han

AU - Boyd, R. W.

AU - Sipe, J. E.

AU - Gaeta, A. L.

PY - 2001

Y1 - 2001

N2 - Summary form only given. In this paper, we show that the argument about vanishing THG breaks down under relativistic conditions. We consider the motion of a free electron in an intense laser field of wavelength λ. For field strengths of the order of mc2/λe, which for λ=1 μm corresponds to an intensity of the order of 2×1017 W/cm2, the electron is accelerated to relativistic velocities in a single optical period, and thus the excursion of the electron from its equilibrium position occurs over a distance of the order of λ. Under such conditions, the radiation emitted by the electron cannot be described within the electric dipole approximation, and in fact cannot be well described by a multipole expansion for a finite number of terms. We instead calculate the intensity of the emitted radiation through the use of the Lenard-Wiechert potentials.

AB - Summary form only given. In this paper, we show that the argument about vanishing THG breaks down under relativistic conditions. We consider the motion of a free electron in an intense laser field of wavelength λ. For field strengths of the order of mc2/λe, which for λ=1 μm corresponds to an intensity of the order of 2×1017 W/cm2, the electron is accelerated to relativistic velocities in a single optical period, and thus the excursion of the electron from its equilibrium position occurs over a distance of the order of λ. Under such conditions, the radiation emitted by the electron cannot be described within the electric dipole approximation, and in fact cannot be well described by a multipole expansion for a finite number of terms. We instead calculate the intensity of the emitted radiation through the use of the Lenard-Wiechert potentials.

UR - http://www.scopus.com/inward/record.url?scp=84958248298&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84958248298&partnerID=8YFLogxK

U2 - 10.1109/QELS.2001.962241

DO - 10.1109/QELS.2001.962241

M3 - Conference contribution

AN - SCOPUS:84958248298

SN - 155752663X

SN - 9781557526632

SP - 274

EP - 275

BT - Technical Digest - Summaries of Papers Presented at the Quantum Electronics and Laser Science Conference, QELS 2001

PB - Institute of Electrical and Electronics Engineers Inc.

ER -