A method, and related apparatus, for suppressing the magnetic resonance signal to an experimentally adjustable depth by applying a spatially inhomogeneous field between the slice-select pulse and the data acquisition. Eliminating the signal from near surface regions allows one to shrink the field of view of an image without introducing aliasing artifacts, thereby improving the image's resolution or decreasing imaging time. Experimental tests on a phantom and a human subject indicate that the depth of signal suppression may be continuously varied to depths of over 80 millimeters with modest requirements on power supplies, pulse sequences, and materials.