PRAMANA c Indian Academy of Sciences Vol. 81, No. 1 — journal of July 2013 physics pp. 157–167

Microwave power coupling with electron cyclotron resonance using

SKJAIN∗, V K SENECHA, P A NAIK, P R HANNURKAR and S C JOSHI Raja Ramanna Centre for Advanced Technology, Indore 452 013, India ∗Corresponding author. E-mail: [email protected]

MS received 14 April 2012; revised 16 January 2013; accepted 26 February 2013

Abstract. Electron cyclotron resonance (ECR) plasma was produced at 2.45 GHz using 200– 750 W microwave power. The plasma was produced from argon gas at a pressure of 2 × 10−4 mbar. Three water-cooled solenoid coils were used to satisfy the ECR resonant conditions inside the plasma chamber. The basic parameters of plasma, such as electron density, electron , floating potential, and plasma potential, were evaluated using the current– curve using a Langmuir probe. The effect of microwave power coupling to the plasma was studied by varying the microwave power. It was observed that the optimum coupling to the plasma was obtained for ∼ 600 W microwave power with an average electron density of ∼ 6 × 1011 cm−3 and average electron temperature of ∼ 9eV.

Keywords. Electron cyclotron resonance plasma, Langmuir probe, electron density, electron temperature.

PACS Nos 52.50.Dg; 52.70.–m; 52.50.Sw

1. Introduction

The electron cyclotron resonance (ECR) plasma is an established source for delivering high current, high brightness, stable ion beam, with significantly higher lifetime of the source. Such a source has been widely used for producing singly and multiply charged ion beams of low to high Z elements [1–3], for research in materials sciences, atomic and molecular physics, and as an accelerator injector [4,5]. In an ECR plasma source, the plasma is produced by the interaction of microwave radiation, in the presence of appro- priate magnetic field, under the cyclotron resonance condition (i.e. applied microwave frequency equals cyclotron frequency). The seed electrons gyrate in the presence of applied magnetic field at the electron cyclotron frequency ωce = Be/m, where ωce is the angular frequency of the cyclotron motion, e is the electron charge, m is the mass of the electron, and B is the critical magnetic field. The microwave power gets resonantly coupled to the gyrating electrons when the microwave frequency equals the electron

DOI: 10.1007/s12043-013-0545-0; ePublication: 20 June 2013 157 S K Jain et al cyclotron frequency, ωrf = ωce. The electrons, in turn, transfer their energy to ionize the neutral atoms by collisions, forming plasma [6–8], and leading to the absorption of the microwave radiation [9]. To characterize the ECR plasma so produced, i.e. for mea- suring the plasma parameters like electron density and electron temperature, Langmuir probe has been widely used due to its simple construction and ease of data acquisition from the plasma in terms of current and voltage, and the straightforward evaluation of the plasma parameters from current–voltage (I –V ) curve. The main advantages of an ECR-based plasma source are: (a) it does not have any fila- ment to limit its life span, (b) it can be used under corrosive environment, and (c) plasma parameters can be controlled by varying the gas pressure and the microwave power. The microwaves are used in resonant mode to couple the electromagnetic energy to the plasma for generating singly charged ions, and in higher order modes for generating multiply charged ions. The coupling of the microwave energy with the plasma is through colli- sionless wave–electron interaction which has higher efficiency of energy coupling. On the other hand, as the coupling of the microwave power depends on the inhomogeneous plasma conditions as well on its confinement due to non-uniform magnetic field, it leads to the partial reflection of the incident microwave power due to improper impedance matching [10]. However, this problem can be taken care of quite easily. This paper describes the features of an ECR plasma source and the coupling of microwave power to the plasma, studied with Langmuir probe I –V curve.

2. Description of the system

The ECR plasma source at RRCAT, India, has been designed to extract a proton beam current of 30 mA, at 50 keV beam energy [11]. Provisions have been made for the diagnostics of the plasma. A schematic diagram of the ECR plasma source is shown in figure 1. The system parameters of the ECR plasma source are given in table 1.The overall length of the source is about 2 m. The major subsystems of the ECR plasma source are: the microwave system, the plasma chamber, the solenoid coils and their power supplies, gas feed system, water cooling unit, and Langmuir probe for plasma diagnos- tics. The microwave system consists of a microwave generator (magnetron) and its power supply [12], directional coupler (for power measurement), tuneable triple-stub tuner (for impedance matching, plasma as a load), and microwave vacuum window (for vacuum isolation between the plasma chamber and microwave system) [13]. These microwave components were indigenously developed using a copper rectangular waveguide WR-284 of 72.14 mm × 34.04 mm cross-section with a wall thickness of 2 mm. Although the designated rectangular waveguide for 2.45 GHz is WR-340, WR-284 was used since its cut-off frequency is 2.078 GHz and it is suitable to operate at average power levels up to 6 kW. The magnetron (Model NL10250 L) used for generating the microwave power at 2.45 GHz frequency had a maximum of 2 kW adjustable power. This magnetron requires a high voltage (5 kV, 1 A DC) power supply for the cathode and a low voltage (5 V, 20 A AC) power supply for the filament, for energizing this magnetron. The power supply with its interlock system has been developed indigenously. The microwave components, the microwave coupling to the plasma chamber with waveguide launcher, and the reso- nant plasma chamber as a cylindrical cavity, were optimized using CST microwave studio

158 Pramana – J. Phys., Vol. 81, No. 1, July 2013 Microwave power coupling with ECR plasma A schematic diagram of the ECR plasma source at RRCAT. Figure 1.

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Table 1. The system parameters of the ECR plasma source at RRCAT.

System parameters Design parameters

Beam energy 50 keV Beam current 30 mA Frequency 2.45 GHz Microwave power Adjustable up to 2 kW (CW) Microwave feed WR-284 (72.14 mm × 34.04 mm) Gas pressure base 2 × 10−6 mbar Axial magnetic field 875–1000 G Duty factor 100% DC Operating pressure 2 × 10−4 mbar Gas Argon

software [14]. For plasma generation and confinement, three water-cooled solenoid coils were indigenously made, with soft iron to provide the return path for the magnetic flux lines. The solenoid field was calculated with Poisson code [15]. The measured magnetic field profiles due to the three solenoid coils, at different currents, are shown in figure 2. The plasma chamber has 100 mm diameter and 200 mm length, and the vacuum cham- ber of cross-type structure with a number of diagnostics ports was fabricated in stainless steel. The vacuum chamber had a turbomolecular pump to maintain the required vacuum in the chamber. A standard gate valve was used between the vacuum chamber and the turbomolecular pump to maintain a background vacuum in the plasma chamber when it is not in operation.

Figure 2. The measured magnetic field profile (due to the three solenoid coils) at different coil currents.

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To study the behaviour of the ECR plasma as an ion source, it is important to know the electron density (ni = ne for singly-charged ions) and the electron temperature for getting higher beam current, to use it as an injector for a Linac. Langmuir probe has been widely used as a standard plasma diagnostics tool, to evaluate the electron density and electron temperature of the plasma [16–21]usingI –V curve. The probe was biased with negative and positive and the corresponding current flowing through the probe was recorded. The recorded I –V curve was used to derive basic plasma parameters like electron density, electron temperature, floating potential, and plasma potential.

3. Experimental set-up

A photograph of the complete experimental set-up of the ECR plasma source at RRCAT is shown in figure 3. The system consists of a turbomolecular pump (TMP) with a roughing pump (two-stage rotary) to maintain 2 × 10−6 mbar base pressure in the plasma cham- ber. Argon gas was fed through a stainless steel tube (1/4 inch in size) and the gas flow was controlled using a high precision needle valve. Consistent plasma discharges were obtained by varying the magnetic field, gas pressure, and microwave power. The magnetic field variation was small and close to 875 G (electron cyclotron resonance at 2.45 GHz). The gas pressure was varied from 10−3 to 10−5 mbar and the microwave power was var- ied from 200 to 750 W. During the course of experiment, reflected power was monitored using a directional coupler. It was maintained at less than 10% of the input power using triple stub tuner acting as a matching network for plasma as a load. The reflected power was dumped into a water-cooled ferrite isolator with a dummy load. The isolator pro- tects the source from reflected power. It allows the microwave propagation in the forward

Figure 3. The photograph of the complete experimental set-up of the ECR plasma source at RRCAT.

Pramana – J. Phys., Vol. 81, No. 1, July 2013 161 S K Jain et al direction while the reflected power gets directed towards the dummy load. The magnetic field was kept slightly higher near the microwave window to avoid ECR breakdown at the window to protect it from damage. A solenoid current of 50 A was used in the experiment to satisfy the ECR resonant conditions. The optical emissions from the plasma display the characteristics of the gas used, e.g. blue for argon plasma and pink for hydrogen plasma.

4. Plasma characterization with Langmuir probe

A Langmuir probe has been designed and fabricated in-house to determine the fundamen- tal plasma parameters. It has a tungsten wire of 0.3 mm diameter and 5 mm length, spot welded on a semi-rigid coaxial cable, connected to a N-type connector for electrical bias- ing. The quartz cap was used to enclose the initial part of the stainless steel tube except the probe tip to avoid direct bombardment of the electrons on the assembly of the probe and to minimize the heat flux to the probe in order to avoid damage. The photograph and the electrical biasing circuit for the Langmuir probe are shown in figure 4. The probe was placed axially (parallel to the chamber axis), using the five-port flange shown at the extreme right in figure 1. The probe was vacuum-sealed using a Wilson seal arrangement.

Figure 4. (a) Photograph and (b) the electrical biasing circuit for the Langmuir probe.

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It was placed in a field-free region to avoid any instability at the probe tip due to the mag- netic field. The plasma parameters were determined from the I –V curve of the Langmuir probe. The electron current Ie is given by the expression    e Vprobe − p Ie = Ie0 exp , (1) kTe where Vprobe is the probe voltage and p is the plasma potential. The electron density Ne is determined from the ion saturation current Iis given by   (kTe) Iis = 0.5eNe A , (2) Mi where A is the probe area and Mi is the ion mass. The electron temperature Te is deter- mined from the inverse slope of the electron current (log scale) vs. probe voltage (linear) plot, and it is given by (e/k) Te = (3) ∂ ln(Ie)/∂Vprobe .

5. Results and discussion

The experiment was carried out with argon gas at a pressure of 2 × 10−4 mbar. The source was operated in resonant conditions of the magnetic field. All the three solenoid coils were independently energized and tuned at a solenoid current up to 50 A. The measurements were carried out for both positive and negative bias up to the ion and electron saturation current. The probe current was recorded for different probe voltages. The voltage to the probe was applied using a standard bipolar power supply. I –V curve obtained from the Langmuir probe for argon plasma is shown in figure 5.ThisI –V curve was used for determining the floating potential, plasma potential, ion saturation current, and electron saturation current. To evaluate the electron temperature by the graphical method, the variation of the electron current (natural log) with the probe voltage (linear scale) was plotted, as shown in figure 6. Parametric studies were carried out to optimize the plasma parameters. The floating potential, the plasma potential, the ion saturation current, and the electron saturation current obtained from the I –V curve are 3–4 V, 25 V, 850 μA, and 5.5 mA respectively. The higher value of electron saturation current obtained experimentally is quite reasonable, as expected theoretically. Here, the electron saturation current was recorded, just few volts above the plasma potential, to avoid excessive heating of the probe tip, which leads to its melting. Experimentally, range of electron density and electron tem- perature (2–9) × 1011 cm−3 and 3–15 eV respectively was obtained with the variation of microwave power. The average electron density of 6 × 1011 cm−3, which is beyond the cut-off electron density of 7.5 × 1010 cm−3 and with average electron temperature of ∼9 eV, was obtained at 600 W of microwave power. The above range of electron density is also suitable for ECR plasma-based applications like high-quality conductive/thin film

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Figure 5. I –V curve obtained from the Langmuir probe for argon plasma. deposition [22,23], reactive ion (sputter) etching [24,25], molecular beam epitaxy [26,27], ion implantation [28,29]etc. Using the I –V curve of the Langmuir probe, the electron density and electron tem- perature were evaluated at different values of the microwave power. The variation of the electron density, the electron temperature, and the product of electron density and electron temperature, with the coupled microwave power (Pc = Pin − Pr)isshownin

Figure 6. The variation of the electron current (log scale) with probe voltage (linear scale).

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Figure 7. The variation of (a) the electron density, (b) electron temperature, and (c) product of electron density and electron temperature, with the coupled microwave power.

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figures 7a, b and c respectively. This variation shows that the electron density and the electron temperature can be controlled by varying the microwave power. The electron density was found to increase non-linearly with increase in microwave power (figure 7a), and the electron temperature was found to decrease with increase in the microwave power (figure 7b). A similar variation in the electron density and the electron temperature with respect to the microwave power has been reported in various experiments [30,31], and has been explained in terms of two heating modes. There is an alternate phenomenological explanation for the observed behaviour of electron density and electron temperature. For a given absorbed power, the energy will be shared by the electrons to have same temper- ature everywhere in a given plasma volume. As the power is increased, the product of electron density and electron temperature should increase linearly with power, as it repre- sents the total energy of the plasma electrons. This linear dependence is seen in figure 7c. As the microwave power is increased, the excursion length of the electrons oscillating in the microwave field increases, thereby increasing the frequency of collisions with the plasma ions/neutrals, leading to faster ionization (i.e. higher electron density). As the increase of electron density with microwave power is linear (as seen in figure 7a), and as the energy is shared by much more number of electrons than the increase in input power (energy), the electron temperature decreases, as seen in figure 7b. A consistent plasma discharge was also seen when the source was operated at higher magnetic fields.

6. Conclusion

A study of microwave power coupling to electron cyclotron resonance plasma was per- formed using a Langmuir probe. It was observed that, with increasing microwave power, the electron density of the plasma increases and the electron temperature decreases. It was also observed that the optimum coupling to the plasma was obtained at ∼600 W microwave power, with an average electron temperature of ∼9 eV and an average electron density of ∼6 × 1011 cm−3.

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