Free wave laser acceleration of electrons and consequences for the Umstadter experiment

Hora, H.; Scheid, W.; Hauser, Thomas H.; Kato, Yoshiaki; Kitagawa, Y.; Mima, K.; Yamanaka, T.

doi:10.1063/1.53566

Cited by 4 publications

(2 citation statements)

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“…The series solution presented here, in fact, provides a full vector field model with the flexibility to model a wide array of beam profiles while requiring fewer and fewer terms as the spot size approaches a single wavelength, thereby making it attractive for many problems of current interest, including electron acceleration, [50][51][52] monochromatization of polychromatic electron beams, 7 laser micromachining, 34 and direct acceleration of electrons in vacuum. 1,4,[9][10][11]53,54 For some time, paraxial and series representations have sufficed, but as laser focusing and intensities reach ever-higher levels, an accurate and robust field model is essential. The exact solution derived here satisfies that requirement and represents a true technological convergence as computing power has also risen in coincidence with laser and optical limits, now allowing such exact solutions to be evaluated and applied to practical laser problems.…”

Section: Resultsmentioning

confidence: 99%

Analytical solutions for the electromagnetic fields of flattened and annular Gaussian laser modes II Large F-number laser focusing

Sepke¹,

Umstadter²

2006

J. Opt. Soc. Am. B

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Many laser interaction models assume that incident focused laser fields are Gaussian and use either the approximate TEM 00 series model or the exact integral Gaussian angular-spectrum solution. Many practical laser systems, however, produce flat-top transverse intensity profiles, and indeed, such profiles are often desired. Here, an exact, integral solution is derived for all of the vector components having a general flattened Gaussian profile using the angular-spectrum method. This solution includes the pure and annular Gaussian modes as special cases. The resulting integrals are solved for tight focusing conditions exactly by making use of a Fourier-Gegenbauer expansion. This technique follows closely that of Sepke and Umstadter [Opt. Lett. 31, 1447 (2006)] but, by redefining the expansion coefficients, the simplicity of the model is greatly enhanced and the computation time reduced by roughly a factor of 2 beyond the 2 orders of magnitude improvement obtained previously. This series solution is stable at all points and converges after S ϳ 20w 0 terms, where w 0 is the 1 / e waist normalized to the laser wavelength.

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Section: Resultsmentioning

confidence: 99%

Analytical solutions for the electromagnetic fields of flattened and annular Gaussian laser modes II Large F-number laser focusing

Sepke¹,

Umstadter²

2006

J. Opt. Soc. Am. B

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“…4 Hora and colleagues have also reviewed and contributed to the development of laser field models and their application to electrodynamics-the accuracy principle. 2,[5][6][7] The importance of the physical model of focused laser fields has been clearly demonstrated in direct laserelectron scattering 5,[8][9][10][11][12][13] and must be considered to accurately model any high-intensity experiment. 14 In this Letter we derive an exact analytical series solution to the full Maxwell wave equation for a laser having a flattened Gaussian transverse profile in the focal plane by using the angular spectrum method.…”

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confidence: 99%