Nonlinear Response Functions for X-Ray Laser Pulses

Zambianchi, Pedro

doi:10.1007/978-1-4615-0387-3_11

Cited by 3 publications

(5 citation statements)

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“…As elaborated in Section S4.1 of Supplementary Information , the XPDC cross section from nonlinear crystal scales as dσ dΩ (2) ∝ 1/ω o1 and especially favors conversion to low energy optical photons. Using the semiclassical treatment 15,23,24 , we estimated the cross section of the instance in this work to be ∼ 1.9 × 10 3 fm 2 (see Section S4.1), which can be comparable to that of the Thomson scattering. We also show in Section S4.1 of Supplementary Information that the quasi-degenerate XPDC to pairs of two X-ray photons has cross section that is four orders of magnitude lower than the XPDC to pairs of X-ray and optical photons.…”

Section: Discussionmentioning

confidence: 82%

“…1 and especially favors down-conversion to low energy optical photons. Using a semiclassical treatment [23,24], we estimated the cross section of the instance in this work to be ~1.9 10 fm 3 2 (see appendix E.1), which can be comparable to that of the Thomson scattering. We also show in appendix E.1 that the quasi-degenerate XPDC to pairs of two x-ray photons has a cross section that is four orders of magnitude lower than the XPDC to pairs of x-ray and optical photons.…”

Section: Consider the Xpdc Processmentioning

confidence: 86%

“…To obtain an order-of-magnitude estimation of the XPDC cross section by nonlinear crystalline medium, we use a semiclassical formalism to calculate nonlinear response functions for x-rays [24]. For electrons in the atom with density ρ and velocity  v , we apply the equation of motion and continuity condition…”

Section: E1 Xpdc Using Nonlinear Crystalmentioning

confidence: 99%

“…where  e i is the polarization vector of the electric field  E i . In the general case, the relation between the nonlinear response functions ( ) R n and the corresponding nonlinear susceptibilities c ( ) n is [24] c w w w w w w w w w w w…”

Section: E1 Xpdc Using Nonlinear Crystalmentioning

confidence: 99%

“…The estimation of c ( ) 2 in equation (E.8) is consistent with the earlier work (see comment 28 in [32]). Using Fermiʼs golden rule, we obtain the differential cross section for XPDC as [24] s w w w…”

Section: E1 Xpdc Using Nonlinear Crystalmentioning

confidence: 99%

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Radiation damage free ghost diffraction with atomic resolution

Medvedev

Chapman

et al. 2017

J. Phys. B: At. Mol. Opt. Phys.

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Studies on spatial modes and the correlation anisotropy of entangled photons generated from 2D quadratic nonlinear photonic crystals X W Luo, P Xu, C W Sun et al. The x-ray free electron lasers can enable diffractive structural determination of protein nanocrystals and single molecules that are too small and radiation-sensitive for conventional x-ray diffraction. However the electronic form factor may be modified during the ultrashort x-ray pulse due to photoionization and electron cascade caused by the intense x-ray pulse. For general x-ray imaging techniques, the minimization of the effects of radiation damage is of major concern to ensure reliable reconstruction of molecular structure. Here we show that radiation damage free diffraction can be achieved with atomic spatial resolution by using x-ray parametric down-conversion and ghost diffraction with entangled photons of x-ray and optical frequencies. We show that the formation of the diffraction patterns satisfies a condition analogous to the Bragg equation, with a resolution that can be as fine as the crystal lattice length scale of several Ångstrom. Since the samples are illuminated by low energy optical photons, they can be free of radiation damage.

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Section: Discussionmentioning

confidence: 82%

Section: Consider the Xpdc Processmentioning

confidence: 86%

Section: E1 Xpdc Using Nonlinear Crystalmentioning

confidence: 99%

Section: E1 Xpdc Using Nonlinear Crystalmentioning

confidence: 99%

Section: E1 Xpdc Using Nonlinear Crystalmentioning

confidence: 99%

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