Electron Dynamics and Thomson Scattering for Ultra-Intense Lasers: Elliptically Polarized and OAM Beams
We investigated the classical nonlinear Thomson scattering (TS), from a single relativistic electron, generated by either: (a) an incoming plane wave monochromatic laser radiation and general elliptical polarization or (b) incoming radiations with intrinsic orbital angular momentum (OAM). Both (a) a...
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MDPI AG
2021-05-01
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| Online Access: | https://www.mdpi.com/2304-6732/8/6/182 |
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| author | Ignacio Pastor Ramón F. Álvarez-Estrada Luis Roso José Guasp Francisco Castejón |
| author_facet | Ignacio Pastor Ramón F. Álvarez-Estrada Luis Roso José Guasp Francisco Castejón |
| author_sort | Ignacio Pastor |
| collection | DOAJ |
| description | We investigated the classical nonlinear Thomson scattering (TS), from a single relativistic electron, generated by either: (a) an incoming plane wave monochromatic laser radiation and general elliptical polarization or (b) incoming radiations with intrinsic orbital angular momentum (OAM). Both (a) and (b) propagate along the <i>z</i> direction, with wave vector <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>k</mi><mn>0</mn></msub></semantics></math></inline-formula>, frequency <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>ω</mi><mn>0</mn></msub></semantics></math></inline-formula>, and initial phase <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>φ</mi><mn>0</mn></msub><mo>≠</mo><mn>0</mn></mrow></semantics></math></inline-formula> and have any intensity. Item (a) enables obtaining general electron TS Doppler frequencies and other quantities, for fusion plasmas. We explored the possibility of approximating nonlinear TS with OAM beams (Item (b)) by means of nonlinear TS with plane wave beams (Item (a)). For Item (a), a general explicit solution of the Lorentz relativistic equation and the subsequent TS are given in terms of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>ζ</mi><mo>=</mo><msub><mi>ω</mi><mn>0</mn></msub><mi>t</mi><mo>−</mo><msub><mi>k</mi><mn>0</mn></msub><mi>z</mi></mrow></semantics></math></inline-formula> (<i>t</i> denoting time). In particular, it includes the cases for linear and circular polarizations and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>φ</mi><mn>0</mn></msub><mo>≠</mo><mn>0</mn></mrow></semantics></math></inline-formula> for fusion plasmas, thereby extending previous studies for <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>φ</mi><mn>0</mn></msub><mo>=</mo><mn>0</mn></mrow></semantics></math></inline-formula>. The explicit solutions give rise to very efficient computations of electron TS Doppler frequencies, periods of trajectories, and drift velocities, and the comparisons with ab initio numerical solutions (for Item (a)) yield an excellent match. The approximate approach, using explicit solutions for Item (a), towards TS OAM (employing ab initio numerical computations for Item (b)), extending previously reported ones) yields a quite satisfactory agreement over time spans including several optical cycles, for a wide range of laser intensities, polarizations, and electron energies. The role of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>φ</mi><mn>0</mn></msub><mo>≠</mo><mn>0</mn></mrow></semantics></math></inline-formula> was analyzed. A simple quantitative criterion to predict whether the agreement between the two approaches (a) and (b) would be observed over a given time span is discussed. |
| first_indexed | 2024-03-10T11:07:37Z |
| format | Article |
| id | doaj.art-b52afbbf66a145c1bd91b8a3707de166 |
| institution | Directory Open Access Journal |
| issn | 2304-6732 |
| language | English |
| last_indexed | 2024-03-10T11:07:37Z |
| publishDate | 2021-05-01 |
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| spelling | doaj.art-b52afbbf66a145c1bd91b8a3707de1662023-11-21T21:04:42ZengMDPI AGPhotonics2304-67322021-05-018618210.3390/photonics8060182Electron Dynamics and Thomson Scattering for Ultra-Intense Lasers: Elliptically Polarized and OAM BeamsIgnacio Pastor0Ramón F. Álvarez-Estrada1Luis Roso2José Guasp3Francisco Castejón4Laboratorio Nacional de Fusión, CIEMAT, Avenida Complutense 40, E-28040 Madrid, SpainDepartamento de Física Teórica, Facultad de Ciencias Físicas, Universidad Complutense, E-28040 Madrid, SpainCentro de Láseres Pulsados, CLPU, Scientific Park, E-37185 Villamayor, SpainLaboratorio Nacional de Fusión, CIEMAT, Avenida Complutense 40, E-28040 Madrid, SpainLaboratorio Nacional de Fusión, CIEMAT, Avenida Complutense 40, E-28040 Madrid, SpainWe investigated the classical nonlinear Thomson scattering (TS), from a single relativistic electron, generated by either: (a) an incoming plane wave monochromatic laser radiation and general elliptical polarization or (b) incoming radiations with intrinsic orbital angular momentum (OAM). Both (a) and (b) propagate along the <i>z</i> direction, with wave vector <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>k</mi><mn>0</mn></msub></semantics></math></inline-formula>, frequency <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>ω</mi><mn>0</mn></msub></semantics></math></inline-formula>, and initial phase <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>φ</mi><mn>0</mn></msub><mo>≠</mo><mn>0</mn></mrow></semantics></math></inline-formula> and have any intensity. Item (a) enables obtaining general electron TS Doppler frequencies and other quantities, for fusion plasmas. We explored the possibility of approximating nonlinear TS with OAM beams (Item (b)) by means of nonlinear TS with plane wave beams (Item (a)). For Item (a), a general explicit solution of the Lorentz relativistic equation and the subsequent TS are given in terms of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>ζ</mi><mo>=</mo><msub><mi>ω</mi><mn>0</mn></msub><mi>t</mi><mo>−</mo><msub><mi>k</mi><mn>0</mn></msub><mi>z</mi></mrow></semantics></math></inline-formula> (<i>t</i> denoting time). In particular, it includes the cases for linear and circular polarizations and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>φ</mi><mn>0</mn></msub><mo>≠</mo><mn>0</mn></mrow></semantics></math></inline-formula> for fusion plasmas, thereby extending previous studies for <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>φ</mi><mn>0</mn></msub><mo>=</mo><mn>0</mn></mrow></semantics></math></inline-formula>. The explicit solutions give rise to very efficient computations of electron TS Doppler frequencies, periods of trajectories, and drift velocities, and the comparisons with ab initio numerical solutions (for Item (a)) yield an excellent match. The approximate approach, using explicit solutions for Item (a), towards TS OAM (employing ab initio numerical computations for Item (b)), extending previously reported ones) yields a quite satisfactory agreement over time spans including several optical cycles, for a wide range of laser intensities, polarizations, and electron energies. The role of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>φ</mi><mn>0</mn></msub><mo>≠</mo><mn>0</mn></mrow></semantics></math></inline-formula> was analyzed. A simple quantitative criterion to predict whether the agreement between the two approaches (a) and (b) would be observed over a given time span is discussed.https://www.mdpi.com/2304-6732/8/6/182nonlinear incoherent Thomson scatteringelliptical radiationlinearly and circularly polarized and Doppler frequenciesradiations with orbital angular momentuminfluence of initial phase |
| spellingShingle | Ignacio Pastor Ramón F. Álvarez-Estrada Luis Roso José Guasp Francisco Castejón Electron Dynamics and Thomson Scattering for Ultra-Intense Lasers: Elliptically Polarized and OAM Beams Photonics nonlinear incoherent Thomson scattering elliptical radiation linearly and circularly polarized and Doppler frequencies radiations with orbital angular momentum influence of initial phase |
| title | Electron Dynamics and Thomson Scattering for Ultra-Intense Lasers: Elliptically Polarized and OAM Beams |
| title_full | Electron Dynamics and Thomson Scattering for Ultra-Intense Lasers: Elliptically Polarized and OAM Beams |
| title_fullStr | Electron Dynamics and Thomson Scattering for Ultra-Intense Lasers: Elliptically Polarized and OAM Beams |
| title_full_unstemmed | Electron Dynamics and Thomson Scattering for Ultra-Intense Lasers: Elliptically Polarized and OAM Beams |
| title_short | Electron Dynamics and Thomson Scattering for Ultra-Intense Lasers: Elliptically Polarized and OAM Beams |
| title_sort | electron dynamics and thomson scattering for ultra intense lasers elliptically polarized and oam beams |
| topic | nonlinear incoherent Thomson scattering elliptical radiation linearly and circularly polarized and Doppler frequencies radiations with orbital angular momentum influence of initial phase |
| url | https://www.mdpi.com/2304-6732/8/6/182 |
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