Generation of Spin Waves in Nonuniform dc Magnetic Fields. II. Calculation of the Coupling Length

Abstract
The coupling length is calculated by using two approaches: (a) For a simple model the wavefunction and the coupling length are determined rigorously; (b) More general, approximate results are obtained by means of the WKB method, which is valid if the dc magnetic field varies sufficiently slowly. It is shown that the coupling length is inversely proportional to the square root of the field gradient at the turning point.