Fast Current Diagnostic Techniques for Linear Pulsed Beams

Explore the advancements in plasma physics and beam diagnostics presented at the Plasma Physics by Laser and Applications conference in Messina. Through detailed talks and images, the evolution of Rogowski coils for linear structures, apparatus calibration, and results are showcased. Discover the application of Rogowski coils in analyzing cylindrical and linear beam particles, as well as tracking current flux in metallic sheets with innovative setups. The use of distributed Rogowski coils in metallic boxes is also discussed for efficient current monitoring.

• Plasma Physics
• Beam Diagnostics
• Rogowski Coils
• Current Monitoring
• Metal Sheets

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1. aboratorio di lettronica pplicata e trumentazione Dipartimento di Matematica e Fisica Ennio De Giorgi Fast Current Diagnostic of Linear Pulsed Beams Vincenzo Nassisi, Luigi Monteduro, Daniela Manno, Antonio Serra Plasma Physics by Laser and Applications 2017, Messina-I 5-7/7/2017

2. Outline of talk: - CYLINDRICAL beams and LINEAR beams - Evolution of Rogowski coil - Exploiting Rogowski coil for linear structure - Apparatus for the calibration - Application to a plane line - Results - Conclusion Plasma Physics by Laser and Applications 2017, Messina-I 5-7/7/2017

3. Cylindrical and Linear beam Particles Particles Plasma Physics by Laser and Applications 2017, Messina-I 5-7/7/2017

4. Cylindrical beam ???? ?? ?0(?) = ?? + ????(?) ???(?)?? Fig. 1: Electrical circuit of a toroidal Rogowski coil with the input current in the centre. ?= ????(?) + ???(p) ?? ?? ??(?) =?? ?? ? ? ? Now, hypothesizing a Heaviside function as current signal, i.e. ?(?) = ???(?), its transform is ??(?) = ???. Then the real output current results ??(?) =?? ? ? ? ??? ? ??? ?????? Plasma Physics by Laser and Applications 2017, Messina-I 5-7/7/2017

5. Plane beam planar currents fluxing in a metallic sheet. ? 2? ?? ? ?? Fig. 2: Sketch of a Rogowski coil employed in a planar conductor ?0? = ??? ? ???? ?? 1 ??? ??? = 2? ??(?) =?? 2? ? ??? ? ??? ?????? ?? ? ) ) ??(? ?(? =1 ?? ?? +?? ? ?? Plasma Physics by Laser and Applications 2017, Messina-I 5-7/7/2017

6. Plane current fluxing in two metallic sheet. ? ???? ?? ??? =1 ??? ? Fig. 3: Sketch of a Rogowski coil employed between two plane conductors. ??? =1 ? ???? ? ??? ? ??? ?????? ? ) ) ??(? ?(? =1 ? ? ?? input ?? +?? ? ?? output Plasma Physics by Laser and Applications 2017, Messina-I 5-7/7/2017

7. Rogowski coil as distributed elements Fig. 4: Sketch of a Rogowski coil employed in a metallic box Fig. 5: Electric sketch of a Rogowski coil closed into the metallic box Plasma Physics by Laser and Applications 2017, Messina-I 5-7/7/2017

8. Rogowski coil as distributed elements Applying the Kirchhoff s equations, the differential of voltage and current for every cell to differential of position depend through the ?? following equations. Z=R+Ldi/dt+R and Y=G+ C . ???(?,?) ?? = ? ?,? ???,? ?(?,?) ) ???(?,? ?? = ? ?,? ???,? Due to the slit Z and Y assume the following form: ? ??+ ??? ? ??+ 1 ? = ? + ? ? ??? ?? ? = ? ? ? ? ?? . . Plasma Physics by Laser and Applications 2017, Messina-I 5-7/7/2017

9. Rogowski coil-Influence of coil resistance Considering R 0, 1 ?? 0 the response is 1 ???,? ? ? ?? ?? + ??? But Ls depend by the slits, the response depends on the slit Plasma Physics by Laser and Applications 2017, Messina-I 5-7/7/2017

10. Materials and calibration The coil was 4 mm in diameter and 27 mm long. The wire has a 0.11 ?? in diameter which provides a maximum value of turn density of 80 ?????/?? with a total of 216 turns. Fig. Double lines of 100 . Plasma Physics by Laser and Applications 2017, Messina-I 5-7/7/2017

11. Experimental resutls The input pulse was 80 ns long. The response c oil was 4 mm in diameter and 27 mm long. The wire has a 0.11 ?? in diameter which provides a maximum value of turn density of 80 ?????/?? with a total of 216 turns. Time scale 500 ps Plasma Physics by Laser and Applications 2017, Messina-I 5-7/7/2017

12. Experimental resutls The attenuation was 675 A/V Risetime input 400 ps Risetime response 500 ps Thanks Plasma Physics by Laser and Applications 2017, Messina-I 5-7/7/2017