Phase-Shift Characteristics of Magnetostatic Spin Waves

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Abstract
The phase‐shift properties of magnetostatic modes propagating through single‐crystal yttrium iron garnet rods are developed. The dispersive equation for these modes propagating in an infinitely long cylinder is combined with the expression for the inhomogeneous field in the rod. The total integrated phase shift is calculated by using a second‐order expansion of the field about the center, since the majority of phase shift occurs in that portion of the rod. The phase shift was found to diverge logarithmically as the magnetic field approaches a characteristic value at which the group velocity of the center of the sample becomes zero. Experimental verification of the analytical results was conducted by measuring the magnetic‐field increment to produce a 2π phase shift as a function of magnetic bias. Excellent correlation is achieved for both the slope of the field increment vs the bias curve and the position of the phase pole. Using the same constants in the expression for group velocity, adequate correlation is achieved with published time‐delay data. It is, therefore, concluded that the model employed does provide an accurate description of the phase‐shift process for many applications.

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