Design and analysis antennas of transverse polarization on the dielectric waveguide

This paper addresses the issue of constructing millimeter band antennas using dielectric waveguide structures. A new type of linear antenna, incorporating metal pins on the side walls of the grooved dielectric waveguide, is proposed for generating polarization perpendicular to the waveguide axis. However, these antennas suffer from the drawback of cross-polarized radiation in directions close to the waveguide axis. To overcome this limitation, a modified antenna design with transverse polarization is introduced, featuring a closed groove waveguide with a longitudinal slot at the top of the wall. The paper provides a comparison between two types of dielectric waveguide antennas: first, waveguide antenna with grooves in the dielectric which results in longitudinal polarization, and second, waveguide antenna with quarter-wavelength pins which results in transverse polarization. Electrodynamic modeling data are provided to demonstrate the effectiveness of the proposed antennas for satellite, 5G antenna, and radar applications. Finally, an antenna of quarter-wavelength pins is proposed with a frequency of 39 GHz, a gain of 19.8 dBi, and a width of the radiation pattern of 3.2 ◦ , and a sidelobe level (SLL) of -13.3 dB has been achieved.

and broader operating frequency ranges [26][27][28].Additionally, the use of dielectric materials allows for miniaturization and integration of the antenna elements, making them suitable for applications where space is limited [29,30].Furthermore, dielectric waveguide antennas exhibit low cross-polarization levels compared to waveguide-slot arrays [31][32][33], which means that the antenna can effectively transmit or receive signals with minimal interference from undesired polarizations [34,35].
By carefully designing the dielectric structures, the antenna can achieve desired radiation characteristics, such as beam steering and shaping [36][37][38].The simplified design and manufacturing process of dielectric waveguide antennas can lead to lower production costs [39][40][41], which is particularly significant for millimeter-range antennas.The transverse polarization in electromagnetic waves pertains to polarization perpendicular to the waveguide axis.In antenna design, it arises when transverse components of the electromagnetic field near a dielectric rod induce currents, producing a wave polarized transversely to the waveguide axis.Overall, the advantages of dielectric waveguide antennas make them a promising choice for various applications, including wireless communication systems, radar systems, and satellite communication [42,43].
Therefore, this study aims to conduct a comparison between two types of dielectric waveguide antennas: one with grooves in the dielectric and the other with quarterwavelength cylindrical pins to distinguish some parameters.The antenna with grooves produces longitudinal polarization [44,45], with the electric field oriented parallel to the waveguide axis, while the antenna with quarter-wavelength pins has the electric field perpendicular to the waveguide axis [46,47].The radiation pattern of the grooved antenna tends to be broadside, with radiation mainly concentrated perpendicular to the waveguide axis [48,49], while the antenna with quarter-wavelength pins tends to have an end-fire radiation pattern, concentrating the radiation parallel to the waveguide axis [50][51][52].Both antennas can achieve wide bandwidth, with the grooved type enhancing impedance matching and reducing reflections, while the quarter-wavelength pins provide higher directivity, resulting in a more focused beam and increased gain [53][54][55].The presence of grooves in the dielectric simplifies the fabrication process for antennas, making them cost-effective to manufacture, but the presence of quarter-wavelength pins enables control over beam steering and shaping, allowing for flexibility in directing the antenna's radiation.Also, both types of antennas have their unique strengths and applications.The choice between them depends on specific requirements, such as polarization needs, radiation pattern preferences, bandwidth requirements, and space constraints.
In our previous work, we explored the use of a grooved dielectric waveguide antenna with a periodic system of irregularities, which resulted in the transformation of surface waves into radiating waves [56].Building upon this foundation, the current study delves into the design of antennas for the extremely high-frequency (EHF) band using dielectric waveguide structures.The focus is on proposing various linear antenna configurations that incorporate metal pins positioned on the side walls of the dielectric groove.One of the key challenges addressed in this study is the issue of cross-polarized radiation in directions near the waveguide axis.To mitigate this, a modified antenna design featuring a closed gutter and a longitudinal slot in the upper wall is introduced.The effectiveness of these proposed antennas is demonstrated through electrodynamic modeling results obtained from tools such as CST and HFSS.
A substantial number of studies have been conducted to address electrodynamic analysis issues of open waveguide structures [57][58][59], and provide technical solutions [60,61].However, due to the extensive nature of this body of work, it is not feasible to cover all studies within the scope of this article.Therefore, this study focuses on a subset of these works [62][63][64][65], that are particularly relevant to the current research.It is important to note that while these antennas offer valuable insights, they also share a common drawback.Specifically, they are equidistant antenna arrays consisting of radiating elements installed at distances equal to the wavelength in the waveguide, which is close to the wavelength in air: wave = γ • air , where γ < 1.1...1.2.As a result, in directions close to the axial direction, there is an increased level of sidelobes in the antenna radiation pattern, caused by the proximity of secondary maxima determined by a specific condition [63]: The remainder of this paper is organized as follows.Section 2 presents the methodology of antennas for the EHF band using dielectric waveguide structures.The contribution and advantages of the proposed work were involved.Also, a comparison is made between an antenna with grooves in the dielectric and an antenna with metal pins positioned on the side walls of the dielectric groove.Section 3 details the synthesis of LWAs with quarter-wavelength pins and a slot along the waveguide's axis.Section 4 presents the simulation results of the modified transverse polarization antenna.Finally, Section 5 concludes the paper and summarizes the feasibility of the transverse polarization radiation antenna.

Methods
In the classical configuration, antennas of this type consist of a dielectric waveguide with a periodic system of irregularities in the form of metallic strips or slots embedded in the dielectric material.The operation of such antennas is explained by transforming the non-radiating surface wave in the homogeneous dielectric structure into a volumetric spatial wave that propagates freely in the surrounding space.Typically, the waveguide dimensions exclude the propagation of any wave types other than the fundamental HE10 mode.The presence of irregularities leads to the generation of polarization in the plane of the antenna axis, while the cross-polarized component is negligible, as depicted in Fig. 1.
The proposed antenna is considered an antenna array with serial excitation.The energy approach is a commonly employed method for the approximate analysis of linear radiating systems designed as a periodic arrangement of identical radiators with a sequential excitation scheme.This study investigates the proposed antenna methodology, integrating a customized energy approach, which provides the characteristics of an almost periodic system radiator.According to the specified approach, a dielectric waveguide with irregularities is represented by an antenna array model with a serial excitation of its elements.
(1) sin θ max = m air wave As an illustration, the results of modeling an antenna on a waveguide with grooves in the dielectric rod are shown in Figs. 2 and 3.The antenna is composed of 16 elements, and each element is spaced 7.20 mm from the adjacent one.The width and depth of the slots are 3.40 mm and 1.00 mm, respectively, operating at a frequency of 38 GHz, and the dimensions of the metallic waveguide are 7.2 ×2.0 mm.The analysis results demonstrate that when implementing the transverse radiation mode in these antennas ( d = wave ), the dominant component is E θ , i.e., E ϕ << E θ , indicating polarization in the plane of the antenna, as shown in Figs. 2 and 3.
Figures 2 and 3 represent the antenna radiation pattern by main and cross-polarization indicating polarization in the plane of the antenna, E ϕ << E θ .The results of mod- eling an antenna on a waveguide are surrounded by a metal structure with grooves in the dielectric rod opened upper side.
In some cases, there is a need for linear antennas with transverse polarization of the emitted waves.A classical option for such antennas is a waveguide-slot array with longitudinal slots on the side wall of a rectangular waveguide.Implementing such antennas in the millimeter wave range is challenging as it requires even higher manufacturing precision as the frequency increases.In the millimeter wave range, it is preferable to use antennas based on dielectric waveguides.This work aims to explore the feasibility of constructing antennas with transverse polarization, based on a dielectric waveguide structure.
By incorporating a sealed upper boundary within the waveguide and introducing a slot along its central axis, it becomes possible to improve the efficiency of the antenna and reduce the presence of far sidelobes in the antenna's radiation pattern of the main beam in the antenna's pattern, as depicted in Fig. 4.
Figures 5 and 6 illustrate the results obtained by simulating the antenna design on a waveguide that includes grooves in the dielectric rod.The antenna shares identical geometric dimensions but includes an upper slot positioned along the axis of the waveguide.It operates at a frequency of 37 GHz, and the metallic waveguide also has dimensions of 7.2×2.0mm.
Figures 5 and 6 represent the antenna radiation pattern by main and cross-polarization, also indicating that the dominant component is E θ .The dielectric waveguide is surrounded by a metal structure with a long longitudinal slot for radiating the electromagnetic field and controlling the losses.
Teflon is used for the dielectric part of the proposed antenna, also known as PTFE, is a material with excellent dielectric properties that make it suitable for use in waveguide antennas.It has a high permittivity, low-loss tangent, and high breakdown voltage.Teflon is used to reduce ohmic losses, increase bandwidth, and enhance impedance match, particularly at millimeter wave and terahertz frequencies.It has specific properties such as ε r =2.1, tanδ = 0.0002, a breakdown voltage of 60 kV/mm, a melting point of 327 • C, and a density of 2.2 g/cm 3 .
According to this observation, the electric field strength (E-field) in an open waveguide is significantly higher than that in a closed waveguide with an upper wall slot.This The difference between the structures designed and simulated lies in the polarization characteristics and modifications made to the antenna design detailed in the following sections.This study compares two types of antennas: one with grooves in the dielectric for longitudinal polarization and another with quarter-wavelength pins for transverse polarization.Additionally, a modified antenna design with a slot along the waveguide's

An antenna with radiation polarized in a plane perpendicular to the waveguide axis
In [66], an antenna with polarization in a plane perpendicular to the waveguide axis is proposed.The antenna consists of hollow pins arranged in a checkerboard pattern on the side walls of the groove waveguide, as depicted in Fig. 7.The groove dielectric waveguide is designed with electrical dimensions that prevent the propagation of higher-order EH and HE wave types.The main wave in the vicinity of the dielectric rod exhibits transverse components of the electromagnetic field, inducing currents on their surfaces.As a result, a wave is formed, polarized in the transverse direction to the waveguide axis.If the spacing between adjacent pins is half the wavelength in the waveguide, the radiation characteristics of such an antenna array are like those of a phased array vibrator.However, the presence of irregularities leads to the radiation of the diffracted wave caused by these irregularities.If the waveguide propagates the fundamental mode, its radiation, resulting from the transformation of the surface wave into a volumetric wave, is polarized in the plane of the waveguide.In this case, it can be considered as crosspolarized, as shown in Fig. 8.
To demonstrate the effect of radiation of transverse polarization waves, the calculated radiation patterns are depicted in Fig. 9.The antenna consists of 37 pins, with the dimensions of the waveguide being 7.2 × 2.0 mm, operating at a frequency of 39 GHz.The length of the pins is 1.76 mm, and the suspension height is 2.51 mm.
The system of opposing pins is excited by a wave in the waveguide that has passed a section of length guide /2 .Therefore, the in-phase superposition of partial fields of transverse polarization occurs in the direction normal to the waveguide.At the same time, the radiation of the "leakage wave" from neighboring sections of the perturbed waveguide is out of phase and mutually canceled.As a result, cross-polarized

Modified transverse polarization antenna
A drawback of the antenna design [66] is the presence of cross-polarized radiation in directions close to the antenna axis, which is caused by the radiation of the "leakage" wave.Despite relatively low levels (the level of cross-polarization can be on the order of -10...15 dB), this can lead to a noticeable reduction in the gain in the main polarization.
Let us consider an enlarged-height dielectric groove waveguide enclosed by a conducting material from the top, as depicted in Fig. 12.If the height of the waveguide exceeds the critical radius of the field boundary (on the order of twice the height of the dielectric rod), the presence of the upper "slot" practically does not affect the process of electromagnetic wave propagation.Due to symmetry, the slot cut in the upper lid along the axial line of the waveguide is also not excited by the field of the propagating wave of the main type.
The presence of pins on the side walls of the waveguide disrupts the symmetry of the field in the transverse section, resulting in the emergence of an electric field component perpendicular to the slot in the upper cover.As a result, the mentioned slot radiates into the surrounding space with polarization perpendicular to the waveguide axis.Due to the practical absence of transverse currents in the symmetry plane of the waveguide with a longitudinal slot, the radiation of the wave with a longitudinal component of the electric field, caused by the "leakage" effect of the wave, is significantly less intense.Therefore, there is a reduction in the cross-polarized component of the radiation field in an antenna that exhibits transverse polarization.
Figures 13 and 14 show the antenna radiation pattern in both main and cross-polarization, highlighting that the dominant component is E ϕ .The dielectric waveguide is encased in a metallic structure featuring an elongated longitudinal slot for emitting the electromagnetic field.
The inclusion of a sealed upper boundary in the antenna design is motivated by the arrangement of a dielectric rod with two sets of metal conductors placed asymmetrically to the rod's axis, separated by half the wavelength.The dielectric rod is situated in an enlarged E-plane rectangular waveguide, electrically connected to the E-sector horn around the entire perimeter of the waveguide cross-section.Additionally, a slot Fig. 12 Antenna with quarter-wavelength pins and a slot along the waveguide's axis is cut along the axis of symmetry in the upper wall of the E-sector horn.This design yields enhanced antenna efficiency and a decrease in far sidelobe levels within the antenna pattern [63].
Calculations conducted using electromagnetic modeling in CST Microwave Studio confirm the achievement of the effect of cross-polarized radiation attenuation.The radiation pattern for the main and cross-polarization of the proposed antenna configuration is shown in Figs. 13 and 14.The antenna shares identical configurations with the preceding one, comprising 37 elements arranged in a checkerboard pattern, with a spacing equivalent to half the wavelength in the waveguide.The dielectric rod has dimensions of 7.20 x 1.40 mm, a suspension pin's height of 2.51 mm, and the dimensions of the waveguide are 7.2 x 2.0 mm.The operating frequency is 39 GHz.The incorporation of an upper boundary featuring a slot within the waveguide has demonstrated a notable enhancement in the antenna's efficiency.This improvement arises from the effective reduction of far sidelobes in the radiation pattern of the main beam.
Table 1 provides the correlation between radiation efficiency and the upper slot width in a waveguide employing side-wall-mounted pins at a frequency of 39 GHz.In the computation of antenna efficiency, any losses in the dielectric and metal components of the antenna were disregarded.
A comparison of this work with other arrays in similar frequency bands based on the use of layer slotted waveguides is provided in Table 2.This includes gap waveguides [67], groove gap waveguides [68,69], and slotted waveguide in groove gap waveguide (GGWG) implemented with glide symmetric holes [70], in conventional rectangular waveguide (RWG) [71], and in SIW [72].The antenna design with quarter-wavelength pins and a slot along the waveguide's axis achieves high gain, low sidelobe levels, reduced far sidelobes in the radiation pattern, and improved signal quality, leading to efficient and accurate signal transmission and reception with reduced interference.

Conclusion
The feasibility of the transverse polarization radiation antenna has been confirmed through electromagnetic modeling.An identified limitation of this antenna is the notable occurrence of cross-polarized radiation in directions near the antenna axis.
To address this drawback, a modified version of the antenna has been proposed.The efficacy of the proposed modifications to antennas with transverse polarization radiation has been validated through electromagnetic modeling.

Fig. 1
Fig. 1 Radiation formation of the proposed antenna with grooves in the dielectric for polarization in the plane of the antenna axis

Fig. 3
Fig.3The CST numerical simulations depict the E-field amplitude (Theta and Phi components) on a linear scale as a function of the Theta angle at ϕ = 90 • using a far-field approximation for reference distance = 1 m

Fig. 4 Fig. 5
Fig.4 Antennas with polarization in the plane of the antenna with grooves in the dielectric and a slot along the waveguide's axis

Fig. 6 Fig. 7
Fig.6 The CST numerical simulations illustrate the E-field amplitude (Theta and Phi components) in logarithmic scale as a function of the Theta angle at ϕ = 90 • using a far-field approximation for reference distance = 1 m

Fig. 10
Fig. 10 The numerical simulations conducted in CST demonstrate the E-field amplitude (Theta and Phi components) in logarithmic scale concerning the Theta angle at ϕ = 90 • , the dominant component is E ϕ

Fig. 13
Fig. 13 Numerical CST simulation results of E-field amplitude (Theta and Phi components) in logarithmic scale versus Theta angle at ϕ = 90 •

Fig. 15
Fig. 15 Simulated reflection coefficient S 11 at frequency F = 39 GHz of the proposed antenna with quarter-wavelength pins and a slot along the waveguide's axis

Fig. 18
Fig. 18 Three-dimensional electric field distribution of proposed antenna with quarter-wavelength pins and a slot along the waveguide's axis at 39 GHz

Table 1
The relationship between radiation efficiency and upper slot width

Table 2
Performance comparison of the presented waveguide arrays