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Precise measurement of a magnetic field generated by the electromagnetic flux compression technique
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10.1063/1.4798543
/content/aip/journal/rsi/84/4/10.1063/1.4798543
http://aip.metastore.ingenta.com/content/aip/journal/rsi/84/4/10.1063/1.4798543

Figures

Image of FIG. 1.
FIG. 1.

Schematic of the EMFC magnet, composed of a copper-lined primary coil with a copper liner inside, and a pair of seed field coils.

Image of FIG. 2.
FIG. 2.

Optics setup for the FR measurements with the EMFC coil and the sample holder set inside an anti-explosion chamber. The inset schematically illustrates the sample holder, a 2 mm-thick quartz rod with a pickup coil wound around the rod.

Image of FIG. 3.
FIG. 3.

(a) The FR signal of the s- and p-polarized components (V s , V p ), in experiment #F1. The upper panel shows the sum of the two amplitudes of polarized light, V s + V p . (b) A plot close to the turn-around phenomenon showing both the raw and normalized data (V s , V p , V s, n , and V p, n ). The dashed line in the upper panel shows V s, n + V p, n .

Image of FIG. 4.
FIG. 4.

The magnetic field curves obtained by the pickup coil, plotted as a function of time. The experimental conditions of #F1 to #C2 are summarized in Table I .

Image of FIG. 5.
FIG. 5.

The simultaneous measurement of the magnetic field by the pickup coils, and the FR angle of fused quartz, for experiment #F1. The thick line corresponds to the magnetic field measured by the pickup coils, and the thin lines correspond to the amplitude of the s- (V s ) and p-polarized (V p ) FR signals. The dotted vertical line indicates the time of the turn-around phenomenon observed in the FR signal.

Image of FIG. 6.
FIG. 6.

The FR angles θ F of fused quartz at λ = 404 nm, as a function of magnetic field measured by the pickup coils, B p . The dotted line corresponds to the linear fit of θ F for magnetic fields less than 200 T (inset).

Image of FIG. 7.
FIG. 7.

The measured magnetic field as a function of time for the induced voltage of the pickup coils (thin lines, B p ), and θ F of fused quartz (thick lines, B FR ). For clarity, the curve corresponding to experiment #F3 was shifted by 1.0 μs.

Image of FIG. 8.
FIG. 8.

The equivalent electric circuit for a measurement of the magnetic field by the pickup coils. The circuit parameters were as follows: R L ∼ 10 Ω, R ATT1 = 100 Ω, R ATT2 = 5 kΩ, R ATT3 = 100 Ω, R m = 100 Ω, R CR = 10 kΩ, C CR = 100 nF, and R TR = 1 MΩ.

Image of FIG. 9.
FIG. 9.

The calibrated magnetic field B p, c , as a function of B p for experiments #F1 and #F2, respectively, where C L = 4 nF (dashed lines) and 16 nF (solid lines). The dotted line indicates B p, c = B p .

Image of FIG. 10.
FIG. 10.

(a) The output response of the transmission line obtained by the offline measurement to decide the frequency dependence of C L R L . For reference, each input signal is plotted as a dotted line. The inset shows the experimental setup. (b) Values of C L R L as a function of dV 2/dt. The filled squares are the estimated values under DC conditions; the bold line is the result of fitting. The inset shows a comparison of C L R L and the induced voltage in the pickup coils for experiment #F2.

Image of FIG. 11.
FIG. 11.

The comparison between B p (solid thin lines), B p, c (solid thick lines), and B FR of fused quartz (thick dashed lines), for experiments (a) #F1, and (b) #F2. The C L R L curves are also shown (thin dotted lines), as is the characteristic time of C L R L = 0 (vertical dashed line).

Image of FIG. 12.
FIG. 12.

The results of simultaneous measurement of the pickup coil and the FR angle of crown glass for experiments (a) #C1, and (b) #C2. The notations are the same as for Fig. 11 .

Image of FIG. 13.
FIG. 13.

Summary of the deviation from B FR for (a) B p , and (b) B p, c , plotted against B FR . The dotted lines indicate an estimated error boundary of 3%, 5%, and 10%. The vertical lines in (b) indicate a position of B FR , where the induced voltage in the pickup coil reached a maximum value. The inset of (a) shows an enlarged plot between 150 T and 450 T.

Image of FIG. 14.
FIG. 14.

The wavelength dispersion of the Verdet constant of fused quartz and crown glass in the visible light region. The open symbols (circles: fused quartz, squares: crown glass), show the Verdet constants obtained in this study. The closed symbols are the data taken from Garn et al. 17 and Ramaseshan. 22 The dashed curves are the fits to the data of Eq. (B1) in Appendix B . The theoretical curve of typical crown glass (BK7) was calculated using the fitting parameters in Table II . The vertical dotted lines show the wavelengths used in this study: 404 nm and 638 nm.

Tables

Generic image for table
Table I.

Experimental conditions for each setup (#F1 to #C2). The material, sample length L, laser wavelength used for FR measurements λ, total energy, charged voltage, and capacitance of the main condenser bank are given.

Generic image for table
Table II.

The parameters used for the wavelength dispersion formula [Eq. (B1) ] of the Verdet constant in optical glass, and the calculated and experimental Verdet constant (v cal , v exp ) at 404 and 638 nm.

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/content/aip/journal/rsi/84/4/10.1063/1.4798543
2013-04-08
2014-04-20
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Precise measurement of a magnetic field generated by the electromagnetic flux compression technique
http://aip.metastore.ingenta.com/content/aip/journal/rsi/84/4/10.1063/1.4798543
10.1063/1.4798543
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