Table 4.

Simulated results of magnetic moments of cylindrical objects and phase values inside objects, at different echo times.

		Theory			No high pass filter			High pass filter
a	TE	℘	ϕ90	ϕ0	℘	ϕ90	ϕ0	℘	ϕ90	ϕ0
pixel	ms	rad·pixel2	rad	rad	rad · pixel2	rad	rad	rad · pixel2	rad	rad
1	10	1.61	0.54	−1.07	1.79	0.39	−0.58	1.89	0.35	−0.52
1	20	3.21	1.07	−2.14	3.55	0.55	−1.45	3.54	0.55	−1.41
1	30	4.82	1.61	−3.21	5.16	1.45	−4.53	5.11	1.55	−4.56
1	40	6.42	2.14	−4.28	6.66	1.96	−4.89	6.53	1.95	−5.00
1	50	8.02	2.68	−5.35	8.26	2.32	−5.62	7.99	2.50	−5.30
3	10	14.4	0.54	−1.07	14.9	0.53	−1.05	14.7	0.34	−0.71
3	20	28.9	1.07	−2.14	29.2	1.08	−2.11	27.0	0.59	−1.60
3	30	43.3	1.61	−3.21	43.8	1.59	−3.26	36.1	0.54	−3.27
3	40	57.8	2.14	−4.28	58.2	2.16	−4.32	41.8	0.34	−4.80
3	50	72.2	2.68	−5.35	72.8	2.72	−5.36	45.3	0.10	−5.65

The radii of these objects were 1 pixel and 3 pixels. The orientations of the objects were 90° and 0°. Theoretical values, results without using the high pass filter, and results using the high pass filter are listed. The first column lists the radius a of the object. The second column lists T_E. The third, sixth, and ninth column show the magnetic moments ℘. The fourth, seventh, and tenth column list phase values inside objects perpendicular to the field. The fifth, eighth, and eleventh column list phase values inside objects parallel to the field. Uncertainties of these quantified results are not shown.