Correlated momentum and kinetic energy distributions of two photoelectrons in laser-assisted two-color two-photon double ionization helium are investigated by numerically solving a one-plus-one dimensional time-dependent Schrödinger equation (TDSE). We find that the weak assisting laser field can act as an transferring field, resulting burst triggered intense extreme ultraviolet (XUV) pulse. Mo...

Numerical solutions to the Time Independent Schrodinger Equation (TDSE) were analyzed using the open source programming language python and using various numerical schemes to compare accuracy of solutions in space, time, and energy. The methods involved were Euler, fourth order Runge-Kutta (RK4), second order Runge-Kutta (RK2), and leapfrog. Furthermore, the time independent solutions were then...

The low-energy structure (LES) of above-threshold ionization (ATI) atoms subjected to an intense laser field is a hot topic in the strong-field atomic physics. rich physical insights behind LES attract lot attention. Based on semi-classical model, two-step (SCTS) quantum trajectory model and numerical solution time-dependent Schrödinger equation (TDSE), we study pulse-duration dependence for Xe...

Numerically determined ionization rates for the field ionization of atomic hydrogen in strong and short laser pulses are presented. The laser pulse intensity reaches the so-called “barrier suppression ionization” regime where field ionization occurs within a few half laser cycles. Comparison of our numerical results with analytical theories frequently used shows poor agreement. An empirical for...

Comparison of Finite Differences and WKB Method for Approximating Tunneling Times of the One Dimensional Schrödinger Equation Student: Yael Elmatad Overview The goal of this research was to examine the quantum mechanical phenomenon of tunneling with respect to the Schrödinger Equation. A quantum mechanical wave is said to “tunnel” when it travels (propagates) through a classically forbidden reg...

Measurements of the phase two-photon matrix elements are presented for resonant and antiresonant two-color ionization helium. A tunable, narrow-bandwidth, near-infrared (NIR) laser source is used extreme ultra-violet (XUV) high-harmonic generation (HHG). The 15th harmonic within (1+1') XUV+NIR ionization, tuned in out resonance with members 1s$n$p $^1$P$_1$ ($n=3,4,5$) Rydberg series, covering ...

been employed in bound state calculations, where the spectrum of the Hamiltonian can be obtained from the solution A grid method for obtaining eigensolutions of bound systems is presented. In this, the block–Lanczos method is applied to a Chebyof the TDSE. The problem usually encountered is the shev approximation of exp(2H/D), where D is the range of eigenvaldiagonalization of the Hamiltonian H...

Attosecond angular streaking is a new technique to achieve unsurpassed time accuracy of only a few attoseconds. Recently this has been successfully used to set an upper limit on the electron tunneling delay time in strong laser field ionization. The measurement technique can be modeled with either the time-dependent Schrödinger equation (TDSE) or a more simple semiclassical approach that descri...

Studying and using light or “photons” to image and then to control and transmit molecular information is among the most challenging and significant research fields to emerge in recent years. One of the fastest growing areas involves research in the temporal imaging of quantum phenomena, ranging from molecular dynamics in the femto (10**-15 s) time regime for atomic motion to the atto (10**-18 s...