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High Resolution From Enhanced Sensitivity

      1.2.1 Coil Miniaturization

      Figure 1.1 A micro Helmholtz coil manufactured using a mixture of standard and home-developed micro-manufacturing technologies. [26] N. Spengler et al. (2014), figure 04 [p.05]/with permission from IOP Publishing Ltd.

      The coil was manufactured by stacking three layers, the top and the bottom of which are made of glass, each featuring a wire-bonded 1.5-winding coil using a 25-µm diameter copper wire. The coils were encapsulated in SU-8 epoxy-based photoresist. The glass layers also contained copper traces for the feed and return paths of the current. These layers were spaced by a poly(methyl methacrylate) (PMMA) layer, which was U-shaped to allow the sample-handling microfluidic chip to slide in the sensor. The Helmholtz microcoil was designed and optimized to achieve an extremely uniform B1 field (92% ratio of signal intensity at flip angles of 810/90) while maintaining the high B0 homogeneity (1.79 Hz achieved linewidth of a water sample).

      Figure 1.2 MR microimaging of a 154-nl deionized water sample with 50-µm diameter polymer beads. (left) Optical micrograph. (right) MR image. [26] N. Spengler et al. (2014), figure 10 [p.07]/with permission from IOP Publishing Ltd.

      1.2.2 The Lenz Lens: A Tool to Boost Sensitivity

      Figure 1.3 The Lenz lens (LL) collects the magnetic flux of the pick-up coil and focuses it into the sample region resulting in an enhanced sensitivity of the measurement.

      Figure 1.4 A comparison of the LL performance versus the LC resonator for a planar single-loop pick-up coil. The first point of the blue curve is the optimum situation where the coil geometry perfectly matches the sample volume (coil-to-sample diameter ratio = 1). As the coil geometry increases in comparison with the sample volume the SNR decreases. In this suboptimal situation, the SNR can be improved by using either an LC resonator (green curve) or a LL (red curve). In this figure, La,S is the inductance of the small pick-up coil, La,B is the inductance of a big pick-up coil, Lb is the inductance of the outer loop of the LL, Lc is the inductance of the inner loop of the LL, and M is the mutual inductance.

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