For a RLHA, the axial-mode short helical antenna is chosen to be the antenna element, hence the array is also circularly polarized. These antenna elements are placed on the upper side of the radial-line, and the waveguide wall transforms into a reflecting plate. Even though the output phases of the probes may be different, bore sight peak can be realized by rotating the helical elements.

The power capacity of antenna element is the key for a RLHA, but the conventional single-branch helical antenna (SBHA) element lacks of sufficient power capacity as the output power of the HPM sources becomes higher nowadays. The DBHA was put forward to lower the maximum E-field over the helical arms. It consists of two independent helixes, between which there is a relative rotation angle to adjust the phase difference, then the radiation path is divided into two. As the current amplitude over the helical arms decreases, the maximum E-field of the helical antenna becomes smaller. Specifically, the feed line and radiation characteristics of DBHA are the same as SBHA, it is feasible for DBHA to replace SBHA so as to improve the power capacity of RLHA.

Because the DBHA prototype is not able to be applying in array directly [9], so it has been cavity-backed to strengthen its independence. Figure 1 shows the perspective of the heliacal element model. In order to accommodate for array application, the element is optimized with periodic boundary using CST Microwave Studio (the input power is 0.5 W). Figure 2 plots that the gain of the cavity-backed DBHA is 7.4 dB and the axial ratio (AR) is 4.2 dB at θ = 0˚. Although the AR is not small enough, better value will be achieved in the helical array [10].

The height of the cavity should not be larger than the top of dual-branch helix

since most of the microwave energy is restricted inside the cavity and then radiates outside, the current density of the upper helical arm will be higher if all the energy radiated from the lower helix passes the upper. In addition, even though maximum E-field of the helical element has been well optimized, it is difficult to guarantee uniform amplitude feeding for each element, the E-field might continue to change after assembling the elements and the feed line.

The optimized parameters of the cavity-backed DBHA are listed in Table 1. Here the parameters are defined as follows: R is radius of the helix, S is the pitch, ρ is diameter of the helical arm, t is turn of the helix, θ₀ is the relative rotation angle, h₀ is height between the two feed points, h_c is height of the cavity, and d_c is diameter of the cavity.

As shown in Figure 3, a 30-element array prototype has been designed to verify the characteristics of DBHA, the elements are arranged on triangular grid and the same to the probes in the feed line.

According to the field-asymmetry, the output ports are divided into nine groups, which are 1 - 4, 5 - 6, 7 - 8, 9 - 12, 13 - 16, 17 - 18, 19 - 22, 23 - 26, and 27 - 30. The dimensions and the output characteristics of the probes are the same

for those in the same group, but it means that in different groups are not. The purpose of the feed line design is to obtain uniform output amplitude for the ports, but the imbalance of output magnitude will increase when the frequency deviates from the center, this might decrease the aperture efficiency of the antenna at these frequencies. In order to handle with this, cylindrical-base probes are used to couple energy from the radial waveguide. As diagramed in Figure 4, the cylindrical-base probe increases its coupling coefficient by adjusting the parameters of the cylindrical base, which provides much more surface areas to enhance the coupling coefficient. With this metal base, excessive reflection will be introduced but it is acceptable before the height of it gets overlarge. The base and the probe are fabricated together onto the bottom of the feed line. Otherwise, these components should be fabricated separately and be assembled together with screws, which could bring assembly errors.

The characteristics of the probes can be approximately analyzed by being placed in an infinite omnidirectional wave guide. The typical characteristic of the probe is simulated and shown in Figure 5 (assuming the input magnitude is 1). This shows that the probe smoothly changes its coupled magnitude, and it is suitable for energy coupling. Since the output phases of the port groups are different, the corresponding helical antennas might rotate for compensation. On the other hand, the field distribution of the feed line is calculated and the result is shown in Figure 6. It can be seen that the maximum electric field is 1925 V/m, so the power-handling capacity for this array is approximately 885 MW if we take the breakdown threshold of 81 MV/m [11]. In Table 2, the comparison explains that the proposed array not only has high power capacity but also uses few elements.

It can be read from the curves of Figure 7 that the measured VSWR of the prototype array (see Figure 8) agrees with the simulated. It is ascribed to the corresponding frequency response of the feed line that the VSWR gets worse at the frequencies far from the center. As for the far-field results, the radiation patterns at 9.7 GHz are depicted in Figure 9. The 3 dB widths of the measured and

simulated main-lobes are nearly the same whereas the side-lobes are not. Because of the assembly errors, the measured gain is 21.9 dB, which is 0.2 dB less than the designed value. Moreover, the simulated and measured bore sight AR values imply that the circular polarization has been realized.