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An axially symmetric configuration is often used, in which the gradient tensor is diagonal and the holding field is in the z direction, with σ =-γ Bx /x=-γ By /y and σ = Bz /z=2 σ. The local Larmor frequency in this case has cylindrical symmetry and for sufficiently large holding field may be approximated by ωL (x) = ω0 + σ z+ (x2 + y2) σ2 8 ω0. With some minor modifications, our treatment can be adapted to this situation.
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An axially symmetric configuration is often used, in which the gradient tensor is diagonal and the holding field is in the z direction, with σ =-γ Bx /x=-γ By /y and σ = Bz /z=2 σ. The local Larmor frequency in this case has cylindrical symmetry and for sufficiently large holding field may be approximated by ωL (x) = ω0 + σ z+ (x2 + y2) σ2 8 ω0. With some minor modifications, our treatment can be adapted to this situation.
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49149119752
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Since the cell length L is much smaller than the cell radius R, the signal is little affected by the boundary condition on the side surfaces. For our experimental setup the Dirichlet condition is more appropriate due to leakage near the edge of the prism inside the cell.
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Since the cell length L is much smaller than the cell radius R, the signal is little affected by the boundary condition on the side surfaces. For our experimental setup the Dirichlet condition is more appropriate due to leakage near the edge of the prism inside the cell.
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24
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49149114942
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We are only interested in the even eigenfunctions because the profiles of the pump and probe beams are symmetric in the x and y directions.
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We are only interested in the even eigenfunctions because the profiles of the pump and probe beams are symmetric in the x and y directions.
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25
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49149114443
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For square-wave modulation used in the experiment the signal is proportional to | S (ω+Ω/2,Ω) +S (ω-Ω/2,Ω) |.
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For square-wave modulation used in the experiment the signal is proportional to | S (ω+Ω/2,Ω) +S (ω-Ω/2,Ω) |.
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