Theory of relativistic harmonic generation

Q Han Park; R. W. Boyd; J. E. Sipe; A. L. Gaeta

doi:10.1109/QELS.2001.962241

Theory of relativistic harmonic generation

Q Han Park, R. W. Boyd, J. E. Sipe, A. L. Gaeta

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

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 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.

Original language	English
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	https://doi.org/10.1109/QELS.2001.962241
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
Country/Territory	United States
City	Baltimore
Period	01/5/6 → 01/5/11

ASJC Scopus subject areas

Electrical and Electronic Engineering
Radiation

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10.1109/QELS.2001.962241

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Theory of relativistic harmonic generation. / Park, Q Han; Boyd, R. W.; Sipe, J. E. et al.
Technical Digest - Summaries of Papers Presented at the Quantum Electronics and Laser Science Conference, QELS 2001. Institute of Electrical and Electronics Engineers Inc., 2001. p. 274-275 962241.

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

Park, QH, Boyd, RW, Sipe, JE & Gaeta, AL 2001, Theory of relativistic harmonic generation. in 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

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author = "Park, {Q Han} and Boyd, {R. W.} and Sipe, {J. E.} and Gaeta, {A. L.}",

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AU - Sipe, J. E.

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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.

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

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Theory of relativistic harmonic generation

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