Nonlinear optics from off-energy closed orbits

Recurrences without closed orbits

The results of quantum photoabsorption calculations are presented for H, K, and Cs atoms in static electric fields. The recurrence spectra for ^Lz&Þ0 show features at scaled actions an order of magnitude shorter than for any classical closed orbit of this system. Two interesting manifestations are presented, and some of the systematics of the peak strengths are explored. These features suggest ...

Freeing Nonlinear Optics from Phase Matching

, 1182 (2013); 342 Science Martti Kauranen Freeing Nonlinear Optics from Phase Matching This copy is for your personal, non-commercial use only. clicking here. colleagues, clients, or customers by , you can order high-quality copies for your If you wish to distribute this article to others here. following the guidelines can be obtained by Permission to republish or repurpose articles or portio...

Initial conditions of closed classical orbits from quantum spectra.

A method is presented for determining the initial conditions of classical orbits from the quantum spectra of the diamagnetic hydrogen atom. Each classical trajectory which is closed at the nucleus produces a sinusoidal fluctuation in the photoabsorption spectrum. The amplitude of each orbit's contribution appears in the Fourier transform of a spectrum computed at constant scaled energy. For a g...

Nonlinear Optics Basics: Kramers-Krönig Relations in Nonlinear Optics

Gradient Flows of Closed 1-forms and Their Closed Orbits

In [18, 20], Pajitnov considers the closed orbit structure of generic gradient flows of circle-valued Morse functions. It turns out that the torsion of a chain homotopy equivalence between the Novikov complex and the completed simplicial chain complex of the universal cover detects the eta function of the flow. This eta function counts the closed orbits and reduces to the logarithm of the zeta ...