On the sum of a prime and a Fibonacci number

We show that the set of the numbers that are the sum of a prime and a Fibonacci number has positive lower asymptotic density

A theoretical study of antennas in moving ionized media. Part I - The receiving area of a dipole antenna in a moving medium Final report, May 1966 - Jun. 1967

Minkowsky electrodynamic theory and power conservation law used to calculate receiving area of dipole antenna immersed in moving ionized mediu

A Theoretical Study of Antennas in Moving Ionized Media. Part II - The Complex Doppler Effect Final Report, May 1966 - Jun. 1967

Complex Doppler effect of oscillating electromagnetic source moving uniformly through homogeneous dispersive mediu

Calculation of Magnetic Field Noise from High-Permeability Magnetic Shields and Conducting Objects with Simple Geometry

High-permeability magnetic shields generate magnetic field noise that can limit the sensitivity of modern precision measurements. We show that calculations based on the fluctuation-dissipation theorem allow quantitative evaluation of magnetic field noise, either from current or magnetization fluctuations, inside enclosures made of high-permeability materials. Explicit analytical formulas for the noise are derived for a few axially symmetric geometries, which are compared with results of numerical finite element analysis. Comparison is made between noises caused by current and magnetization fluctuations inside a high-permeability shield and also between current-fluctuation-induced noises inside magnetic and non-magnetic conducting shells. A simple model is suggested to predict power-law decay of noise spectra beyond quasi-static regime. Our results can be used to assess noise from existing shields and to guide design of new shields for precision measurements.Comment: 10 page

Hamiltonian approach to slip-stacking dynamics

Hamiltonian dynamics has been applied to study the slip-stacking dynamics. The canonical-perturbation method is employed to obtain the second-harmonic correction term in the slip-stacking Hamiltonian. The Hamiltonian approach provides a clear optimal method for choosing the slip-stacking parameter and improving stacking efficiency. The dynamics are applied specifically to the Fermilab Booster-Recycler complex. The dynamics can also be applied to other accelerator complexes.Comment: 10 p