Abstract
We propose here a theory of pure type-II superconductors in high magnetic fields. Making use of the guess that the effect of the magnetic field on a pure type-II superconductor in a high field is similar to that of a transport current, we circumvent the difficulty associated with the expansion in powers of the order parameter Δ. As an application of this conjecture, we calculate here the ultrasonic attenuation coefficients in the gapless region of a pure type-II superconductor. The attenuation coefficients decrease sharply in the superconducting region as (Hc2H)12, where H is the external field, and are strongly anisotropic—a simple manifestation of the anisotropy in the excitation spectrum of quasiparticles.