The principle of reciprocity in signal strength calculations?A mathematical guide

B 1 destructive interferences and spatial phase patterns at 7 T with a head transceiver array coil

“…Figures 3 a and b display the magnitude of receive and transmit B 1 components independently for each channel. As expected, given the cylindrical symmetry of the sample (14), typical twisted amplitude profiles are observed with similar shapes but with opposite directions for transmit and receive components (5, 8, 14, 25).…”

B 1 destructive interferences and spatial phase patterns at 7 T with a head transceiver array coil

“…Figures 3 a and b display the magnitude of receive and transmit B 1 components independently for each channel. As expected, given the cylindrical symmetry of the sample (14), typical twisted amplitude profiles are observed with similar shapes but with opposite directions for transmit and receive components (5, 8, 14, 25).…”

Reconfigurable MRI coil technology can substantially reduce RF heating of deep brain stimulation implants: First in-vitro study of RF heating reduction in bilateral DBS leads at 1.5 T

“…This is in line with previous studies that have emphasized on the importance of the relationship between implant’s geometry, and the phase and orientation of incident electric field of MRI transmit coils [25, 32–37]. For each simulation, the B 1 + field was calculated as B 1 + = 0.5(B 1x +jB 1y ) [38] and its value was recorded on an axial circular plane (diameter = 5cm) passing through the center of the head approximately 1 cm below the tips of electrodes (Fig 1D). The input power of the coil was adjusted at each rotation angle to generated the same spatial mean B 1 + = 2μT over this central plane.…”

Utilization of 31P PULCON for Quantitative Hydroxyl Group Determination in Lignin by NMR Spectroscopy

“…3 The hydroxyl group content can be used to follow the structural changes caused by pulping processes, for example, the amount of cleaved aliphatic hydroxyl groups, condensation of the 5position, and formation of carboxyl groups; it can also be used for stoichiometric calculations when performing chemical modifications of the hydroxyl groups and to follow the progress of such reactions. The high natural abundance of the NMR-active nuclei, 31 P, allows for relatively short experimental times, especially compared to quantitative 13 C NMR experiments. The method as such is suitable for fast screening of multiple lignin samples.…”

B 1 destructive interferences and spatial phase patterns at 7 T with a head transceiver array coil

“…Figures 3 a and b display the magnitude of receive and transmit B 1 components independently for each channel. As expected, given the cylindrical symmetry of the sample (14), typical twisted amplitude profiles are observed with similar shapes but with opposite directions for transmit and receive components (5, 8, 14, 25).…”

Reconfigurable MRI coil technology can substantially reduce RF heating of deep brain stimulation implants: First in-vitro study of RF heating reduction in bilateral DBS leads at 1.5 T

“…This is in line with previous studies that have emphasized on the importance of the relationship between implant’s geometry, and the phase and orientation of incident electric field of MRI transmit coils [25, 32–37]. For each simulation, the B 1 + field was calculated as B 1 + = 0.5(B 1x +jB 1y ) [38] and its value was recorded on an axial circular plane (diameter = 5cm) passing through the center of the head approximately 1 cm below the tips of electrodes (Fig 1D). The input power of the coil was adjusted at each rotation angle to generated the same spatial mean B 1 + = 2μT over this central plane.…”

Utilization of 31P PULCON for Quantitative Hydroxyl Group Determination in Lignin by NMR Spectroscopy

“…3 The hydroxyl group content can be used to follow the structural changes caused by pulping processes, for example, the amount of cleaved aliphatic hydroxyl groups, condensation of the 5position, and formation of carboxyl groups; it can also be used for stoichiometric calculations when performing chemical modifications of the hydroxyl groups and to follow the progress of such reactions. The high natural abundance of the NMR-active nuclei, 31 P, allows for relatively short experimental times, especially compared to quantitative 13 C NMR experiments. The method as such is suitable for fast screening of multiple lignin samples.…”

B 1 destructive interferences and spatial phase patterns at 7 T with a head transceiver array coil

“…Figures 3 a and b display the magnitude of receive and transmit B 1 components independently for each channel. As expected, given the cylindrical symmetry of the sample (14), typical twisted amplitude profiles are observed with similar shapes but with opposite directions for transmit and receive components (5, 8, 14, 25).…”

Reconfigurable MRI coil technology can substantially reduce RF heating of deep brain stimulation implants: First in-vitro study of RF heating reduction in bilateral DBS leads at 1.5 T

“…This is in line with previous studies that have emphasized on the importance of the relationship between implant’s geometry, and the phase and orientation of incident electric field of MRI transmit coils [25, 32–37]. For each simulation, the B 1 + field was calculated as B 1 + = 0.5(B 1x +jB 1y ) [38] and its value was recorded on an axial circular plane (diameter = 5cm) passing through the center of the head approximately 1 cm below the tips of electrodes (Fig 1D). The input power of the coil was adjusted at each rotation angle to generated the same spatial mean B 1 + = 2μT over this central plane.…”

Utilization of 31P PULCON for Quantitative Hydroxyl Group Determination in Lignin by NMR Spectroscopy

“…3 The hydroxyl group content can be used to follow the structural changes caused by pulping processes, for example, the amount of cleaved aliphatic hydroxyl groups, condensation of the 5position, and formation of carboxyl groups; it can also be used for stoichiometric calculations when performing chemical modifications of the hydroxyl groups and to follow the progress of such reactions. The high natural abundance of the NMR-active nuclei, 31 P, allows for relatively short experimental times, especially compared to quantitative 13 C NMR experiments. The method as such is suitable for fast screening of multiple lignin samples.…”