Multiband Circular Polarizer Based on Fission Transmission of Linearly Polarized Wave for X-Band Applications

A multiband circular polarizer based on fission transmission of linearly polarized wave for x-band application is proposed, which is constructed of 2 × 2 metallic strips array. The linear-to-circular polarization conversion is obtained by decomposing the linearly incident x-polarized wave into two orthogonal vector components of equal amplitude and 90 phase difference between them. The innovative approach of “fission transmission of linear-to-circular polarized wave” is firstly introduced to obtain giant circular dichroism based on decomposition of orthogonal vector components through the structure. It means that the incident linearly polarized wave is converted into two orthogonal components through lower printed metallic strips layer and two transmitted waves impinge on the upper printed strips layer to convert into four orthogonal vector components at the end of structure. This projection and transmission sequence of orthogonal components sustain the chain transmission of electromagnetic wave and can achieve giant circular dichroism.Theoretical analysis and microwave experiments are presented to validate the performance of the structure.Themeasured results are in good agreement with simulation results. In addition, the proposed circular polarizer exhibits the optimal performance with respect to the normal incidence.The right handed circularly polarized wave is emitted ranging from 10.08GHz to 10.53GHz and 10.78GHz to 11.12 GHz, while the left handed circular polarized wave is excited at 10.54GHz–10.70GHz and 11.13 GHz–11.14GHz, respectively.

Wideband circular polarizer is proposed using stacked dual-layer periodic arrays [10], which are separated by large distance of 0.33 operational wavelengths.The multiband of polarizer is useful for many applications.The polarization characteristics of transmitted wave of dual-band asymmetry chiral metamaterial structure were demonstrated.The proposed structure achieved RHCP and LHCP wave at four distinct resonant frequencies [13].The multiband circular polarizer achieved the RHCP and LHCP wave at three distinct resonant frequencies by using incident polarized wave [14].The circular dichroism was obtained across a narrow band at resonance frequencies.The polarization characteristics of transmitted wave of dual-band asymmetry chiral metamaterial structures are demonstrated in [15].Chiral metamaterials achieve electromagnetic wave properties, such as strong circular dichroism effect [16,17] and giant optical activity [18][19][20][21].
In this paper, multiband circular polarizer based on fission transmission of linearly polarized wave for -band application is proposed which is constructed of double layer periodic metallic strips array printed on both sides of dielectric structure.Firstly, this novel approach of "fission transmission of electromagnetic waves" is introduced to obtain giant circular dichroism, which means that the incident linearly polarized wave is converted into two orthogonal components through lower printed metallic strips layer.Simultaneously, the two transmitted orthogonal components impinge on the upper printed strips along +z direction and converted into four orthogonal vector components at the end of structure.The x-linearly polarized incident wave decomposed into two orthogonal vector components   and   from lower printed metallic strips.Meantime, the transmitted   and   waves impinge on the top surface of structure along +z direction to generate two pairs of orthogonal components from top layer of structure.Incidence and transmission of   and   through layer-by-layer sustain chain transmission of EM waves to achieve giant circular polarization at the other side of structure.
The proposed structure demonstrates the co-and crosspolarization transmission to realize circular polarization at distinct frequency bands.Firstly, a dual-band circular polarizer is introduced that converts linear circular polarized wave into right hand circular polarized wave with high conversion efficiency at 10.70 GHz and 11.09 GHz.Subsequently, this concept is extended to compose a four-band circular polarizer and each band is broaden for circular polarized wave transmission.The proposed multiband circular polarizer achieves two orthogonal polarization eigenstates, right handed circular polarization (RHCP) wave at 10.08 GHz-10.53GHz and 10.78 GHz-11.12GHz and left handed circular polarization state (LHCP) wave at 10.54 GHz-10.70GHz and 11.13 GHz-11.14GHz, respectively.
The significant advantages of this proposed multiband circular polarizer have simple geometry and more broaden operating frequency bands comparing to reported designs [22][23][24], good circular polarization, easy fabrication, high conversion efficiency, and strong circular dichroism at operated frequency bands and can be used for the x-band microwave applications.

Dual-Band Circular
Polarizer.The pattern of unit cell is depicted in Figure 1.The two metallic strips with same size are printed on both sides of the substrate with different directions in XOY plane.The top printed strip is tilted at 45 ∘ and the bottom strip is slanted at 60 ∘ along and -axis, respectively.Initially, numerical simulation is performed to calculate the transmission behaviour of dual-band circular polarizer.The incident x-linearly polarized wave is used as excitation source along +z direction.The model is excited by floquet port 1 with linearly polarized wave range from 8 to 12 GHz.
The geometric parameter of dual-band circular polarizer unit cell is denoted in Figure 1, that is,  = 0.787 mm,  = 10 mm,  = 1.787 mm,   = 15 mm, and   = 15 mm, respectively.The dielectric substrate Roger RT/duroid 5880 is employed with specifications are as follows: dielectric permittivity is E = 2.2 with a loss tangent of 0.0009.The ultrathin (0.01 mm) metallic strips are printed on both sides of substrate.The periodic boundary conditions, Master and Slave, are assigned to simulate the periodic geometrical structure along and -axis.The excitation of port 1 and port 2 is provided by floquet modes with two orthogonal waves which represent the vertically (  ) and horizontally (  ) polarized vector components of the incident wave, respectively.The -linearly polarized wave is applied as excitation source through port-1 along +z direction.difference equals 89.68 ∘ at f 1 and 91.56 ∘ at f 2 as denoted in Figure 2(c).Figure 2(b) presents the dual-band ranging from 10.48 GHz to 10.71 GHz, BW = 2.3% and 10.91 GHz to 11.18 GHz, BW = 2.7%, respectively.The axial ratio bandwidth and transmission conversion efficiency at operated frequency bands (f 1) and (f 2) are comparatively better than reported work [25].The RHCP waves are obtained at the operated frequency bands from 10.48 GHz to 10.78 GHz and 10.91 GHz to 11.18 GHz.

Multiband Circular Polarizer.
Subsequently, the concept of dual-band circular polarizer is extended to compose multiband circular polarizer by implementing 2 × 2 array.Figure 3 depicts the view of proposed polarizer which is constructed of 2 × 2 array of printed metallic strips on both sides of the substrate.The array occupies an overall area of 30 mm × 30 mm.The bottom tilted metallic strips' pattern is formed by rotating an enantiomeric form of the upper slanted strips' pattern by 90 ∘ .
In simulation process, the periodic boundary conditions are used to  and  direction and absorption boundary conditions are applied along the perpendicular to the direction of EM wave propagation.The copolarization   and crosspolarization   transmission are achieved when structure is illuminated by x-polarized wave along +z direction.The transmission coefficients of the circularly polarized wave can be calculate by expression of  ± = 1/√2(  ±   ) for normal incident of x-polarized wave, where the subscript "+" represents the RHCP wave, "−" indicates the LHCP wave, 1/√2 is denoted for power normalization, and  represents the transmission wave.
To elucidate the physical origin of strong circular dichroism and optical activity of our design, the surface current distribution can be observed on top and bottom layers at From Figure 4, it can be observed that the surface currents' directions on the top and bottom strips are antiparallel at all distinct resonant frequencies, which show the effective current loops.It is realized that the magnetic vectors induced by current loops on the surface of the strips are not perpendicular to the electric vectors of the incident wave; therefore, the cross-coupling behaviour between electric and magnetic fields is realized at four resonant frequencies.Similarly, the surface current distribution at the end portion of the strips is very week because the magnetic field is parallel to the y direction and electric field along x direction, resulting in the transmitted cross-polarized wave.
Figure 4 represents the direction of currents which are totally antiphase between two strips and attributes the giant circular polarization conversion at distinct frequencies.The incident x-polarized wave excites the current loops in metallic strips which produces the magnetic dipole moment.In addition, the electric and magnetic responses exist not only on the surface of each strip but also between the strips due to the strong coupling effect [26][27][28].
For the experimental purpose, a prototype sample of the proposed circular polarizer is fabricated to verify its performance.The fabrication is carried out through conventional circuit board technology with the same designed model parameters as the simulation structure.Figure 5 depicts the photograph of the fabricated sample of multiband circular polarizer.
The measurement is carried out to validate the simulation results of polarizer structure in microwave anechoic chamber by free space method.The fabricated sample is perpendicular placed in the middle between two linearly polarized horn antennas; one is working as transmitter and the other as receiver.The distance between fabricated sample and antenna is equal to the numerical simulation approximately.The antennas are connected to two ports of vector network analyzer of Agilent N5230C, which produce EM microwave in the range of 8-12 GHz.
It can be possible to obtain the corresponding all vector components of the EM wave by changing the orientations of the horn antennas.For the measurement of cross-polar transmission, one horn antenna is placed vertically while the other is placed horizontally in order of transmitterreceiver alignment.The measured copolar reference is used for the cross-polar measurements.The raw data is shown in oscillating behaviour; therefore, a data processing procedure similar to that in [9] is used to remove oscillations behaviour from data.
In Figure 6(d), the simulated and measured results of phase differences are to be 90.28 ∘ and 95.24 ∘ (f 1), −243.43 ∘ and −240.16∘ (f 2), 132.84 ∘ and 133.05 ∘ (f 3), and −225.12∘ and −225.86 ∘ (f 4), respectively.Figure 6(c) presents the axial ratio bandwidths at the four different resonances ranging from 8 GHz to 12 GHz, which are broaden at 10.08 GHz-10.70GHz, BW = 5.16% and 10.78 GHz-11.14GHz, BW = 3.0%, respectively.The axial ratio bandwidth is extended at operated frequency bands which is comparatively better than reported work [14].In previous work, the results were demonstrated compared to the RHCP wave and LHCP wave is achieved at two distinct frequencies f 1 and f 2 [25].In this research, the proposed multiband structure achieves RHCP wave from 10.08 GHz to 10.53 GHz and 10.78 GHz to 11.12 GHz, whereas LHCP wave is achieved from 10.54 GHz to 10.70 GHz and 11.13 GHz to 11.14 GHz, respectively.It is shown that the accumulative axial ratio bandwidth of 8.16% is obtained for the circular polarization ranging from 8 GHz to 12 GHz.
It is expressed that   =    /   and   =    /   .In these expressions, the first subscript indicates the output polarized wave and second subscript represents the input signal polarizations, respectively.For instance,   =    /   , where    is the applied as input x-polarized wave along +z direction.If the cross-polarization is lower than copolarization   <   , it means that transmitted waves are elliptic polarization.Therefore, the co-and cross-polarization transmission coefficients should have equal amplitudes and phase difference between them must be /2.Assume that   =    /   and   =    /   represent the transmittance of x-to-x and x-to-y polarization conversions.It means that, under the certain coordinate system, the two decomposed components of transmitted linearly polarized waves    and    from the bottom layer are used as incident polarized waves    and    for the top layer along the +z direction.As the incidence of    and    as the excitation source, the two more pairs of orthogonal vector components can be generated at the other side of top layer which realizes "fission yields vector components of electromagnetic waves." It is assumed that four transmitted orthogonal vector components converge to each other and form strong circular dichroism at the end of structure.The physics of operating principle based on the fission transmission of electromagnetic waves which realizes the incident wave decomposed into two transmitted waves and output decomposed waves impinge on the upper layer of structure to yield four transmitted waves.In addition, the sequence of incident and transmission wave can produce more transmission wave and sustain the chain transmission of EM waves by using doublelayer structure.

Conclusion
In summary, the proposed structure is comprehensively characterized.The various designed structures demonstrated the giant circular dichroism with different configurations as reported in this work.Firstly, we introduce the novel concept of "fission transmission of EM waves" and its physics to realize strong circular dichroism at distinct resonant frequencies.The simulated and measured results reveal that giant circular dichroism effect with multibands is obtained for circular polarization.The simulated and measured results of our research exhibit good correspondence.It is assumed that the fission transmission of EM waves can be realized by employing multilayers periodic layers printed on both sides of substrate.The proposed circular polarizer has good circular polarization efficiency and high transmission efficiency which makes it potentially useful for many practical systems.The designed model of polarizers is very simple and can be easily fabricated.Moreover, it is possible to enhance the bandwidth performance by changing some geometric parameters of the polarizer, such as thickness of substrate, size, and orientation of strips and using multilayers to obtain giant circular dichroism.

Figure 1 :
Figure 1: Schematic view of dual-band circular polarizer unit cell.

Figure 2 (
a) presents the transmission coefficients of   and   .The transmission coefficients of   are 5.69 dB (1 = 10.70 GHz) and 6.48 dB (2 = 11.09GHz), respectively.Meanwhile, the transmission coefficients of   are obtained, 2.90 dB (f 1) and 3.82 dB (f 2), respectively.In order to achieve polarization conversion of transmitted waves, the axial ratio AR = |  |/|  | and their phase differences (|  |) − (|  |) of cross-polarization and copolarization transmissions are achieved for normal incidence of polarized wave.

Figure 2 (
b) shows the axial ratio between transmitted waves   and   which is equal to 1.3 at 10.70 GHz (denoted as f 1) and 1.3 at 11.09 GHz (denoted as f 2), and phase difference equals 89.68 ∘ at f 1 and 91.56 ∘ at f 2 as denoted in Figure2(c).The axial ratio bandwidth of dual band is achieved ranging from 10.48 GHz to 10.71 GHz (BW) = 2.3% and from 10.91 GHz to 11.18 GHz (BW) = 2.7%, as shown in Figure2(b), respectively.The axial ratio bandwidth and transmission conversion efficiency at operated frequency bands (f 1) and (f 2) are comparatively better than reported work[14].The RHCP waves is obtained at the operated frequency bands from 10.48 GHz to 10.78 GHz and 10.91 GHz to 11.18 GHz.

Figure 2 (Figure 2 :
Figure 2: The figure presents the simulation results for dual-band circular polarizer.(a) shows the transmission coefficients of   and   versus frequency for normal incident wave at  = 0 ∘ , (b) represents the axial ratio of transmitted wave versus frequency, and (c) shows the phase difference between transmitted waves versus frequency of designed structure.

Figure 3 :
Figure 3: The figure presents the multiband circular polarizer based on 2 × 2 periodic metallic strips array.

Figure 4 :Figure 5 :Figure 6 :
Figure 4: The figure shows the distributions of surface currents on top and bottom strips under the incident field with  in the  direction propagating along +z direction at (a)  = 10.24GHz, (b)  = 10.54GHz, (c)  = 11.09GHz, and (d)  = 11.14GHz.