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Using a Fourier transform and coordinate transform, the space-time cross-spectral density function, which is often used to represent spatially varying seismic motion, is derived from a general frequency-wavenumber power spectrum model. Although the existence of a dominant wave component is not assumed, the resultant cross-spectrum model becomes the same as the one proposed by Loh. Hence the Loh's model is found to be applicable to express general stochastic wave fields.

SPATIAL VARIATION OF SEISMIC GROUND MOTION MODELED BY FK SPECTRUM