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High harmonic generation strongly depends on the driving laser field and as a result the harmonics have similar temporal and spatial coherence properties. [10] High harmonics are often generated with pulse durations shorter than that of the driving laser. [11] This is due to the nonlinearity of the generation process, phase matching and ...
The Helmholtz equation has a variety of applications in physics and other sciences, including the wave equation, the diffusion equation, and the Schrödinger equation for a free particle. In optics, the Helmholtz equation is the wave equation for the electric field. [1] The equation is named after Hermann von Helmholtz, who studied it in 1860. [2]
Similarly, in Indium, there exists a strong transition 4d 10 5s 2 → 4d 9 5s 2 5p at 19.92 eV with a high gf value of 1.11. [10] The energy of this transition corresponds to 13th harmonic with 800 nm excitation wavelength. This enhancement in a particular harmonic order is most commonly known as Resonant High Harmonic Generation (RH).
Second-harmonic generation was first demonstrated by Peter Franken, A. E. Hill, C. W. Peters, and G. Weinreich at the University of Michigan, Ann Arbor, in 1961. [9] The demonstration was made possible by the invention of the laser, which created the required high-intensity coherent light. They focused a ruby laser with a wavelength of 694 nm ...
In Wilson's GF method it is assumed that the molecular kinetic energy consists only of harmonic vibrations of the atoms, i.e., overall rotational and translational energy is ignored. Normal coordinates appear also in a quantum mechanical description of the vibrational motions of the molecule and the Coriolis coupling between rotations and ...
The Hellmann–Feynman theorem is actually a direct, and to some extent trivial, consequence of the variational principle (the Rayleigh–Ritz variational principle) from which the Schrödinger equation may be derived. This is why the Hellmann–Feynman theorem holds for wave-functions (such as the Hartree–Fock wave-function) that, though not ...
N-th harmonic generation. Harmonic generation (HG, also called multiple harmonic generation) is a nonlinear optical process in which photons with the same frequency interact with a nonlinear material, are "combined", and generate a new photon with times the energy of the initial photons (equivalently, times the frequency and the wavelength divided by ).
This method was first developed by Benesi and Hildebrand in 1949, [2] as a means to explain a phenomenon where iodine changes color in various aromatic solvents. This was attributed to the formation of an iodine-solvent complex through acid-base interactions, leading to the observed shifts in the absorption spectrum.