A 0.52THz third harmonic little-orbit gyrotron

A Little Harmonic Analysis

This is an introduction to some fundamental ideas of harmonic analysis. It assumes that the reader knows the basics of measure theory and the Lebesgue integral, and knows a little (not much more than the definitions) about Banach and Hilbert spaces. Some of this is reviewed in Section 2.1.

Multi-megawatt Relativistic Harmonic Gyrotron Traveling-Wave Tube Amplifier Experiments

Exoplanet Predictions Based on Harmonic Orbit Resonances

The current exoplanet database includes 5454 confirmed and candidate planets observed with the Kepler mission. We find 932 planet pairs from which we extract distance and orbital period ratios. While earlier studies used a logarithmic spacing, which lacks a physical model, we employ here the theory of harmonic orbit resonances, which contains quantized ratios instead, to explain the observed pl...

Harmonic inversion as a general method for periodic orbit quantization

In semiclassical theories for chaotic systems, such as Gutzwiller’s periodic orbit theory, the energy eigenvalues and resonances are obtained as poles of a non-convergent series g(w) =∑n An exp(isnw). We present a general method for the analytic continuation of such a non-convergent series by harmonic inversion of the ‘time’ signal, which is the Fourier transform of g(w). We demonstrate the gen...

Mode Excitation in a Gyrotron