A simple procedure of dressing the atomic states distorted in the presence of a potential, bound or continuum, by a laser field is discussed, and the validity of the developed dressing procedure is tested by evaluating the harmonic generation and multiphoton ionization processes for a one-dimensional model potential of the form V(x) = −(1 + x2)−1/2. The results are compared with the exact one-dimensional model calculations of Eberly et al. for the same processes [
Phys. Rev. Lett. 62,
881 (
1989)]. Several other dressed-state wave functions proposed by other authors are also tested.
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n is the order of the ATI peak; the frequency of the laser ω = 0.07 a.u., the laser electric field |E| = 0.05 a.u., and the pulse duration T = 16.125 cycles. Numbers in parentheses are powers of 10.
Table 2
|D(ω)|2 Test: Hahn–Janjusevic Dressing UxULU0 Compared with the Result of Eberly et al.a
n′ is the harmonic order; Eberly et al. results are the standard with which the order PC’s are compared; Hahn and Janjusevic used U5. Note that the value of the first harmonic of HJ is not the maximum, and we arbitrarily normalized it at n′ = 5 where it is maximum. T = 16.125 cycles, ω = 0.07, and the laser electric field is |E| = 0.05 a.u. Numbers in parentheses are powers of 10.
Tables (4)
Table 1
Above-Threshold Ionization Probabilities PB = |B|2 as Functions of Photoelectron Energies Eca
n is the order of the ATI peak; the frequency of the laser ω = 0.07 a.u., the laser electric field |E| = 0.05 a.u., and the pulse duration T = 16.125 cycles. Numbers in parentheses are powers of 10.
Table 2
|D(ω)|2 Test: Hahn–Janjusevic Dressing UxULU0 Compared with the Result of Eberly et al.a
n′ is the harmonic order; Eberly et al. results are the standard with which the order PC’s are compared; Hahn and Janjusevic used U5. Note that the value of the first harmonic of HJ is not the maximum, and we arbitrarily normalized it at n′ = 5 where it is maximum. T = 16.125 cycles, ω = 0.07, and the laser electric field is |E| = 0.05 a.u. Numbers in parentheses are powers of 10.