Obtaining B 1 Distributions by Encoding in B 1 Instead of Image Space

A new method to estimate the B ₁ distribution in a volume by encoding in B ₁ rather than along image space is presented. By acquiring multiple 1D projections using the BEAR B ₁ mapping method with different phase sensitivities to B ₁ , an estimate of the B ₁ distribution in each projected pixel is calculated using a convex optimization formulation. We validate this method through simulations and in vivo at 3T. With this method, the B ₁ distribution in a volume can be estimated faster than in acquiring a 2D B ₁ map. The method is potentially useful when B ₁ varies rapidly in space.

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