By Valeriy Astapenko
The ebook is dedicated to the idea describing the interplay of ultra-short electromagnetic pulses (USP) with topic, together with either classical and quantum situations. This subject is a sizzling subject in smooth physics end result of the nice achievements in producing USP. distinctive awareness is given to the peculiarities of UPS-matter interplay. one of many vital goods of this e-book is the derivation and purposes of a brand new formulation which describes the complete photo-process chance less than the motion of USP within the framework of perturbation conception. powerful field-matter interplay can also be thought of with using the Bloch formalism in a two-level approximation for UPS with variable features.
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Extra info for Interaction of Ultrashort Electromagnetic Pulses with Matter
15 ν Fig. 30) for the example of a multielectron atom in the Lenz–Jensen statistical model . 43). 19) and the Fourier transform of the electric field strength in the pulse. 1 Atom in the Lenz–Jensen Statistical Model Common to all statistical models of an atom, the expression for the local electron density has the form rTF nLJ ðr Þ ¼ Z 2 f ðx ¼ r=rTF Þ aÀ3 B ; rﬃﬃﬃﬃﬃﬃﬃﬃ 2 b 3 9p ﬃﬃﬃ ﬃ 0:8853 ¼ p ; b ¼ a B 3 128 Z ð2:50Þ where Z is the charge on the atomic nucleus, rTF is the Thomas–Fermi radius, h2 " aB ¼ me 2 is the Bohr radius, and f(x) is an universal function of the dimensionless distance to the nucleus x ¼ r=rTF depending on the specific statistical model of the atom.
It is not difficult to obtain a Fourier transform of the electric field strength for such a sequence consisting of N identical pulses in terms of the Fourier transform of a single pulse E(x0 ): ! 5 Wtot, rel. u. Fig. 2 43 2 jEðx0 Þj dx0 : ð2:48Þ We now use these expressions to describe photoionization of a hydrogen atom under the action of a series of short pulses. 6 eV denotes the Rydberg energy. 49) to find the probability of photoionization of a hydrogen atom by a series of laser pulses with a width of two oscillation periods at the carrier frequency.
75) for different values of the dimensionless chirp ða ¼ j Dt2 Þ are shown in Fig. 10. In this case, it can be seen that the oscillation amplitude varies considerably in going from one value of the parameter a ¼ j Dt2 to another. 77 3 ρ(τ) Fig. 3: Solid curve a = 0. 68. 77 27 2 1 0 -1 -10 0 10 20 30 40 50 τ ( pﬃﬃ) 1 1 þ ~e pﬃﬃ ; qamp ð~eÞ ¼ ln 2 1 À ~e ð1:78Þ so it is clear that the greater the excitation energy, the greater the oscillation amplitude. To explain the dependences of Fig. 10, Fig.