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SEY properties of dielectric materials, modeling and measurements M. Belhaj ONERA\Centre de Toulouse\DPHY

Motivation (@ONERA) Multipactor in RF components -metals and dielectric -Incident energy range of interest : 0 ev to 400 ev photons electrons photoelectrons SEY RF subsystem ESD -dielectric -Incident energy range of interest : 1 kev ev ESD to hundreds of kev Solar panel Xe Hall affect Thruster -dielectrics (ceramics) -Incident energy range of interest : 0 ev to 100 ev 3

SEY of dielectrics Incident electron Incident electron Silver 10-8 Ω.m Electron gun - + Emitted electrons Teflon 10 23 Ω.m Metal - Electron gun + Dielectric Emitted electrons Metals : SEY affected by - Chemical properties of the surface - Morphological proprieties (roughness) - Dielectric : SEY affected by - Chemical properties of the surface - Morphological proprieties (roughness) - - And charging effect! 4

SEY of dielectrics vacuum dielectric - SE F ext F int - Charge accumulation: Electric field into the vacuum: external effects of charging Electric field inside the dielectric: internal effects of charging 5

External effects of charging on SEY

External effects of charging on SEY (1/3) E > E C2 ; TEEY < 1 SEY e- 1 E C1 Incident electron impact energy time E C2 E 1 Surface potential (Vs) -(E-E C2 )/e SEY time 7

External effects of charging on SEY (2/3) E C1 < E < E C2 ; SEY > 1 SEY 1 E C1 E Incident electron impact energy E C2 5V SEY Surface potential (Vs) time 1 time 8

External effects of charging on SEY (3/3) E < E C1 ; TEEY < 1 SEY Mirror effect 1 E E C1 Incident electron impact energy time 1 SEY -E/e Surface potential (Vs) time 9

Internal effects of charging on SEY

Internal effects of charging on SEY (1/4) vacuum dielectric SE hole (+) electron (-) F int SE extra-interactions - e-h recombination - Internal Elec field F int 11

Internal effects of charging on SEY (2/4) SEY Dionne* conventional model for metals 1 B 1 p R p 0 ( )( Ap 0) ( ) (1 e 0 1 R ) = cst :e-h excitation energy 0 : mean electron escape depth R: mean electron penetration range Escape Generation Transport SEY Dionne* adapted model for dielectrics B ( )( Ap 0) 1 p R ( ) 0 1 1 p (1 e R ( charge, carrier emobility) ) * G. F. Dionne Origin of secondary electron emission yield curve parameters J. Appl. Phys. (1975) 46, 3347 Transport + RIC

Internal effects of charging on SEY (3/4) e- 13

Internal effects of charging on SEY (4/4) Experimental illustration: effect of the incident electron pulse duration on the SEY of Al 2 O 3 Al 2 O 3 14

Consequences on the measurement strategy

Consequences on the measurement strategy (1/3) - Minimize the incident electron dose use a short electron pulses and low incident current density - Define a protocol to discharge the sample during the SEY measurement or before (initial charge) use a flood gun with appropriate incident energy, UV photons source, to compensate the trapped charge (positive or negative) - many other strategies are listed in the following papers: J. Cazaux, About the charge compensation of insulating samples in XPS, in Journal of Electron Spectroscopy and Related Phenomena 113(1):15-33 December 2000 S.Hofmann, Charging and charge compensation in AES analysis of insulators, in Journal of Electron Spectroscopy and Related Phenomena 59(1):15-32 June 1992! All these method should be controlled by a in situ charging diagnostic technic (Kelvin Probe, monitoring the shift of the SE pic, displacement current on the sample holder, etc ) 16

Consequences on the measurement strategy (2/3) - The SEY (at < 1keV) concerned only by the first tens of nm material depth Alternative strategy: reduce the dielectric thickness reduce the induced surface potential reduce the external electric field e- ++++ C h Capacitance 1/h ; h surface potential

Consequences on the measurement strategy (3/3) Artefacts Exemple: SiO 2 After: 1 e-pulse ( 10 na/mm², 10 µs) SEY measurement on dielectric : trade off between: Artefacts - S/N (e-pluse) - Available time to spend - Needed accuracy Vs = 5V The used strategy should be defined according to the sample characteristics (conductivity, thickness, incident energy range, available discharging technics, ) 18

Practical impact on the RF multipactor modeling

Practical impact on the RF multipactor modeling (1/1) The described charge dependence above (internal and external) was implanted of SEY on multipactor model and applied RF component including dielectric (Teflon)* Simulated structure* The analysis of the results obtained shows that: The multipactor power threshold increases with the charge deposited within the dielectric (- or +). The specific SEY properties and dynamics of dielectrics must be considered in order to accurately model the multipactor dynamics of realistic RF devices * E. Sorrola, M. Belhaj, J. sombrin and J. Puech, New multipactor dynamics in presence of dielectrics, in PHYSICS OF PLASMAS 24, 103508 (2017) 20

Conclusion (1/2) Electrical charge can be accumulated when dielectric is submitted to e- irradiation The charge can be negative or positive according to the incident electron energy (SEY < 1 or SEY>1). The charge affects externally (vacuum) and internally (inside the material) the electron emission that in turn affects the charging rate. The dynamic competition between charging and electron emission results for bulk materials on all the cases to a steady state situation where the SEY =1. The dynamic of the SEY of dielectrics should be included in models when dielectric are exposed to e- radiation.

Conclusion (2/2) Dielectric is may be not the worst case materials regarding multipactor and e-cloud even if their initial SEY is many cases higher then that of metals! However others charging problems should be considered specially at dielectric/vacuum/metal triple junction (electric surface flashover, breakdown, )