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www.sciencemag.org/cgi/content/full/1143254/DC1
Supporting Online Material for Wireless Power Transfer via Strongly Coupled Magnetic Resonances André Kurs,* Aristeidis Karalis, Robert Moffatt, J. D. Joannopoulos, Peter Fisher, Marin Soljačić *To whom correspondence should be addressed. E-mail: [email protected] Published 7 June 2007 on Science Express DOI: 10.1126/science.1143254
This PDF file includes: SOM Text Figs. S1 to S5
Effect of using capacitively-loaded loops and lowering the operating frequency on field strengths and power levels As stated in the text, capacitively-loaded loops generate significantly lower electric fields in the space surrounding the objects than self-resonant coils. We have performed calculations to simulate a transfer of 60W across two identical capacitively-loaded loops (6) similar in dimension to our self-resonant coils (radius of loop 30cm, cross sectional radius of the conductor 3cm, and distance between the loops of 2m), and calculated the maximum values of the fields and Poynting vector 20cm away from the device loop.
Frequency (MHz) η Erms (V/m) Hrms (A/m) Srms (W/cm2 ) Power radiated (W) 10 83% 185 21 0.08 3.3 1 60% 40 14 0.04 0.005 At 10MHz, note the significant reduction in the electric field strength with respect to the selfresonant coils. Lowering the operating frequency down to 1MHz further reduces the electric field, Poynting vector, and power radiated. At 1MHz, all our fields are below IEEE safety guidelines (18) (Erms = 614V/m, Hrms = 16.3A/m, and Srms = 0.1W/cm2 at 1MHz.)
2
Figures 0.18 Theory Experiment
0.16 0.14
κ (10e6/s)
0.12 0.1 0.08 0.06 0.04 0.02 0
75
100
125 150 175 Distance (cm)
200
225
Figure 1: Theoretical and experimental κ as a function of distance when one of the coils is rotated by 45% with respect to coaxial alignment.
3
0.1 Theory Experiment
0.09 0.08
κ (10e6/s)
0.07 0.06 0.05 0.04 0.03 0.02 0.01 0
100
125
150 175 Distance (cm)
200
225
Figure 2: Theoretical and experimental κ as a function of distance when the coils are coplanar.
4
Figure 3: 60W light-bulb being lit from 2m away. Note the obstruction in the lower image.
5
Figure 4: 60W light-bulb. Alternate angle.
6
Figure 5: Alternative geometry.
7
Supporting Online Material for Wireless Power Transfer via Strongly Coupled Magnetic Resonances André Kurs,* Aristeidis Karalis, Robert Moffatt, J. D. Joannopoulos, Peter Fisher, Marin Soljačić *To whom correspondence should be addressed. E-mail: [email protected] Published 7 June 2007 on Science Express DOI: 10.1126/science.1143254
This PDF file includes: SOM Text Figs. S1 to S5
Effect of using capacitively-loaded loops and lowering the operating frequency on field strengths and power levels As stated in the text, capacitively-loaded loops generate significantly lower electric fields in the space surrounding the objects than self-resonant coils. We have performed calculations to simulate a transfer of 60W across two identical capacitively-loaded loops (6) similar in dimension to our self-resonant coils (radius of loop 30cm, cross sectional radius of the conductor 3cm, and distance between the loops of 2m), and calculated the maximum values of the fields and Poynting vector 20cm away from the device loop.
Frequency (MHz) η Erms (V/m) Hrms (A/m) Srms (W/cm2 ) Power radiated (W) 10 83% 185 21 0.08 3.3 1 60% 40 14 0.04 0.005 At 10MHz, note the significant reduction in the electric field strength with respect to the selfresonant coils. Lowering the operating frequency down to 1MHz further reduces the electric field, Poynting vector, and power radiated. At 1MHz, all our fields are below IEEE safety guidelines (18) (Erms = 614V/m, Hrms = 16.3A/m, and Srms = 0.1W/cm2 at 1MHz.)
2
Figures 0.18 Theory Experiment
0.16 0.14
κ (10e6/s)
0.12 0.1 0.08 0.06 0.04 0.02 0
75
100
125 150 175 Distance (cm)
200
225
Figure 1: Theoretical and experimental κ as a function of distance when one of the coils is rotated by 45% with respect to coaxial alignment.
3
0.1 Theory Experiment
0.09 0.08
κ (10e6/s)
0.07 0.06 0.05 0.04 0.03 0.02 0.01 0
100
125
150 175 Distance (cm)
200
225
Figure 2: Theoretical and experimental κ as a function of distance when the coils are coplanar.
4
Figure 3: 60W light-bulb being lit from 2m away. Note the obstruction in the lower image.
5
Figure 4: 60W light-bulb. Alternate angle.
6
Figure 5: Alternative geometry.
7
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