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Chenhui Qu, Peng Tian and Mark J. Kushner

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1 ARRAYS OF MICROPLASMAS FOR CONTROLLING PROPERTIES OF ELECTROMAGNETIC WAVES*
Chenhui Qu, Peng Tian and Mark J. Kushner University of Michigan, Electrical Engineering & Computer Science Ann Arbor, MI USA MIPSE Poster, September 2016

2 University of Michigan Institute for Plasma Science & Engr.
AGENDA Introduction to Microplasma Array (MPA) Description of Model. Scaling of Microplasma Array Pressure, Voltage, Pulse Repetition Frequency (PRF) Cross-talk Between Plasma Cells Controlling Microwave Transmission with Array of Microplasma Concluding Remarks University of Michigan Institute for Plasma Science & Engr. MIPSE_Sep_2016

3 MICROPLASMAS AS METAMATERIAL
Microplasma arrays are being investigated as metamaterials for control of electromagnetic waves. Optimizing material's performance requires stringent control of microplasma properties. Plasma material has advantages on Tuning material’s properties Manipulating material structure arbitrarily Add inherent nonlinearity to the material [2] [1] [1] A. Iwai & Sakai, Appl. Phys. Express 8, (2015) [2] Singh et al. Nature Scientific Reports 4 : 5964 (2014) University of Michigan Institute for Plasma Science & Engr. MIPSE_Sep_2016

4 MODELING OF PULSED MICROPLASMAS
The Hybrid Plasma Equipment Model (HPEM) is a modular simulator that combines fluid and kinetic approaches. Monte Carlo Ion/Neutral Transport Surface Chemistry Module Monte Carlo Radiation Transport University of Michigan Institute for Plasma Science & Engr. MIPSE_Sep_2016

5 University of Michigan Institute for Plasma Science & Engr.
UNIPOLAR DC-PULSING Short pulses (~ 10s ns) heat electrons rapidly at leading edges. Pulsing repetition frequency is at several MHz. Peak potential up to hundreds of volts. Duty cycle is 20% to 60% University of Michigan Institute for Plasma Science & Engr. MIPSE_Sep_2016

6 2 × 2 ARRAY OF 4 MICROPLASMA CELLS
2 × 2 symmetric configuration of sealed plasma cavity with no net gas flow. Powered electrodes are located at the center and separated by dielectric material. Electrodes are exposed to plasma. Higher plasma density is enabled through beam ionization from secondary electron emission. 10s of Torr, 10s ns DC pulse with several MHz PRF, unipolar excitation. Working gas is Ar University of Michigan Institute for Plasma Science & Engr. MIPSE_Sep_2016

7 ELECTRON DENSITY, IONIZATION SOURCES
Base case: Ar, 60 Torr, 10 MHz, 30% duty cycle (30 ns pulse), -300 V Peak [e]  1.1 × 1014 cm-3 Significant "exclusion zone" with expansion of cathode fall during pulse. Bulk ionization peaks where Te and [e] are at high values near the edge of cathode fall. Ionization by secondary emission electrons is more important than by bulk electrons. University of Michigan Institute for Plasma Science & Engr. MIPSE_Sep_2016

8 University of Michigan Institute for Plasma Science & Engr.
GAS HEATING Profiles shown at peak-pulse. Gas heating in microplasma is a major factor influencing scaling of plasma density. Gas is heated immediately adjacent to electrodes due to large ion drift velocity. Rarefaction caused by heating near electrode decreases local gas density thus reduces ionization efficiency. Ar, 60 Torr, -300 V, 30 ns pulse length, 10 MHz PRF. University of Michigan Institute for Plasma Science & Engr. MIPSE_Sep_2016

9 University of Michigan Institute for Plasma Science & Engr.
VOLTAGE SCALING Ar, 60 Torr, fixed pulse length (30 ns), 10 MHz PRF. Increasing voltage and power deposition increases Tgas which rarefies gas, leading to saturation in peak electron density. Rarefaction increases particle transport and cross-talk between plasma cells. Maximum electron density [e] is largely a function of product of voltage. University of Michigan Institute for Plasma Science & Engr. MIPSE_Sep_2016

10 University of Michigan Institute for Plasma Science & Engr.
PRESSURE SCALING Argon, -300 V, 10 MHz PRF, 30 to 80 Torr. Low pressure produces low plasma density with thicker cathode fall which excludes bulk plasma. Plasma is confined and has better uniformity at high pressure. With higher stopping power of beam electrons, Tgas increases with pressure. Plasma density saturates due to rarefaction effect of gas heating. University of Michigan Institute for Plasma Science & Engr. MIPSE_Sep_2016

11 University of Michigan Institute for Plasma Science & Engr.
PRF AND DUTY CYCLE Ar, 60 Torr, -300 V Lower PRF, lower average power reduces gas temperature and regains some loss in efficiency due to rarefaction. Increasing pulse length (higher duty cycle) with stable PRF will transit plasma to cw-like with larger cathode fall. The cw configuration has the plasma in the center of the array. The threshold of transition in plasma behavior is duty cycle =60%. University of Michigan Institute for Plasma Science & Engr. MIPSE_Sep_2016

12 TURNING OFF ELECTRODES
Electrodes are turned off to investigate plasma interactions. Different pair of electrodes produce similar densities with little interactions between pairs. Drifting electrons from other pairs produce higher electron density but are not critical for sustaining neighbors. Ar, 60 Torr, -300 V, 30 ns pulse length, 10 MHz. MIN MAX University of Michigan Institute for Plasma Science & Engr. MIPSE_Sep_2016

13 University of Michigan Institute for Plasma Science & Engr.
UNBALANCED POWERED Electrodes are powered with different voltages( -300 V, -250 V). Cathode to anode: 130 m Diffusion of metastable atoms help in generating high density plasma with lower power input. In steady state the plasma densities of each cell are commensurate. Ar, 60 Torr, 30 ns pulse length, 10 MHz. University of Michigan Institute for Plasma Science & Engr. MIPSE_Sep_2016

14 MICRO-PLASMA ARRAYS IN WAVEGUIDES
Control or modulation of high frequency microwave radiation by small arrays of microplasmas was investigated. HFSS (High Frequency Electromagnetic Field Simulation) software ( was used with plasma properties provided by UM simulations. Industry standard copper waveguides are modeled with EM fields produced in frequency domain calculations. MPA is placed in center of waveguide. University of Michigan Institute for Plasma Science & Engr. MIPSE_Sep_2016

15 PLASMA ELECTRICAL PROPERTIES
Electron Plasma Frequency Effective Permittivity Effective Conductivity University of Michigan Institute for Plasma Science & Engr. MIPSE_Sep_2016

16 University of Michigan Institute for Plasma Science & Engr.
WR-42 WAVEGUIDE WR-42 intended for GHz (a) mm × (b) mm × (L) 75 mm 4 x 10 Microplasma array: Radius of Plasma Cell = 400 m Thickness of plasma = 1 mm (Lp) Plasma properties: [e] = 7.2 x 1014 cm-3 m = 1.5 x 1011 s-1. TE10 Mode Cutoff frequency of empty WR- 42 from simulation is 14 GHz – agrees with theory Transmission Coefficient through Waveguide (dB) University of Michigan Institute for Plasma Science & Engr. MIPSE_Sep_2016

17 WR-42: MICROPLASMA ARRAY LAYOUT
Due to mode structure of TE10 wave, transmission through microplasma array depends on layout of the microplasma elements. The transmission can be controlled using the same number of microplasma elements but different arrangement. Microplasma layout (Cross-Section View)  92%  84% 20 GHz Transmission University of Michigan Institute for Plasma Science & Engr. MIPSE_Sep_2016

18 University of Michigan Institute for Plasma Science & Engr.
WR-12 WAVEGUIDE WR-12 intended for GHz (a) mm × (b) mm × (L) 17 mm 7 x 15 Microplasma array: Radius of Plasma Cell = 80 m Thickness of plasma = 0.5 mm Plasma properties: [e] = 7.2 x 1014 cm-3 m = 1.5 x 1011 s-1. Microplasma Array TE10 Mode Cutoff frequency of empty WR- 12 from simulation is 48.4 GHz – agrees with theory Transmission Coefficient through Waveguide (db) University of Michigan Institute for Plasma Science & Engr. MIPSE_Sep_2016

19 WR-12: PLASMA ARRAY FILLING OF WAVEGUIDE
Fill waveguide from bottom row-by-row Transmission through WR-12 at 65 GHz as microplasma array is turned on row-by-row from bottom. Decrease in transmitted power as array is populated due to plasma absorption and reflection. (For 65 GHz, cut off occurs at 5 x 1013 cm-3.) Effect of plasma is maximum when rows of plasma approach center of waveguide cross section where the electric field amplitude is largest. University of Michigan Institute for Plasma Science & Engr. MIPSE_Sep_2016

20 University of Michigan Institute for Plasma Science & Engr.
CONCLUDING REMARKS Microplasma arrays in Ar at 10s – 100 Torr in sealed cavities maintained by ns DC pulses were investigated to determine scaling laws of plasma density (PRF, voltage, pressure). Gas heating in microplasmas at such pressures is important in scaling as local rarefaction of the gas will decrease ionization efficiency during the pulse. Interactions are controllable between plasma cells and may be helpful for sustaining high plasma densities. Layout of microplasma elements important to transmission due to overlap with mode structure and diffraction effects. Arrays of microplasmas are not in generally equivalent to a slab of the average of the plasma properties. University of Michigan Institute for Plasma Science & Engr. MIPSE_Sep_2016

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