Image signal-to-noise ratio and power dissipation are investigated theoreti
cally up to 400 MHz. While the text is mathematical, the figures give insig
hts into predictions. Hertz potential is introduced for probe modeling wher
e charge separation cannot be ignored. Using a spherical geometry, the pote
ntial from current loops that would produce a homogeneous static B-1 field
is calculated; at high frequency it is shown to create an unnecessarily inh
omogeneous field. However, a totally homogeneous field Is shown to be unatt
ainable. Boundary conditions are solved for circularly polarized fields, an
d strategies for limited shimming of the sample B-1 field are then presente
d. A distinction is drawn between dielectric resonance and spatial field fo
cusing. At high frequency, the region of maximum specific absorption is sho
wn to move inside the sample and decrease. From the fields in both rotating
frames, the signal-to-noise ratio is derived and compared with the traditi
onal, low-frequency formulation. On average, it is mostly found to be sligh
tly larger at high frequency. Nevertheless, the free induction decay is som
etimes found to be annulled. (C) 2000 Wiley-Liss, Inc.