IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION 1 An Ultra-wideband Absorber Based On Mixed Absorption Mechanisms Meiling Li, Wenhao Hu, Xue-xia Yang, and Zixuan Yi 1. What is the problem being addressed by the manuscript and why is it important to the Antennas & Propagation community? (limited to 100 words). A new ultra-wideband absorber based on mixed absorption mechanisms is proposed. The design provides a new strategy and more flexibility to design ultra-wideband absorbers. In addition, the combination does not introduce extra thickness, which ensures the absorber to be low-profile. 2. What is the novelty of your work over the existing work? (limited to 100 words). Our work provides a new strategy to design ultra-wideband absorbers through combining resonance-based absorber and spoof surface plasmon polariton absorber without introducing extra thickness. These two absorbers can be designed separately, which provides more flexibility. The performance has been proved by simulation and measurement, which shows satisfactory bandwidth and thickness compared with previous work. 3. Provide up to three references, published or under review, (journal papers, conference papers, technical reports, etc.) done by the authors/coauthors that are closest to the present work. Upload them as supporting documents if they are under review or not available in the public domain. Enter “N.A.” if it is not applicable. N.A. 4. Provide at least three references (journal papers, conference papers, technical reports, etc.) done by other authors that are most important to the present work. These references should also be discussed in the submitted manuscript and listed among its references. Please include the citation numbers used in the manuscript for easy reference. [1] J. Yu, W. Jiang and S. Gong, "Wideband Angular Stable Absorber Based on Spoof Surface Plasmon Polariton for RCS Reduction," IEEE Antennas Wireless Propag. Lett., vol. 19, no. 7, pp. 1058-1062, July 2020. [2] F. Zhou, Y. Fu, R. Tan, J. Zhou, and P. Chen, "Broadband and wide-angle metamaterial absorber based on the hybrid of spoof surface plasmonic polariton structure and resistive metasurface," Opt. Express, vol. 29, no. 21, pp. 34735-34747, October, 2021. [3] T. Shi, L. Jin, L. Han, M. -C. Tang, H. -X. Xu and C. -W. Qiu, "Dispersion-Engineered, Broadband, Wide-Angle, Polarization-Independent Microwave Metamaterial Absorber," IEEE Trans. Antennas Propag., vol. 69, no. 1, pp. 229-238, Jan. 2021. IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION 3 An Ultra-wideband Absorber Based On Mixed Absorption Mechanisms Meiling Li, Wenhao Hu, Xue-xia Yang, and Zixuan Yi Abstract—In this paper, an ultra-wideband (UWB) absorber (MA) is proposed by the employment of two absorption mechanisms, including resonance-base absorber and spoof surface plasmon polariton (SSPP) absorber. The mixed absorber is a three-dimensional structure which consists of vertically placed SSPP and resonance-based absorber and horizontally placed resistive frequency selective surface (FSS). The ultra-wideband absorption performance mainly originates from the absorption characteristic of the resonance-based structure in low frequency range and the SSPP structure in high frequency range. Simulation shows that the hybrid structure possesses a -10 dB fractional bandwidth (FBW) of 160.7% from 1.45 GHz to 13.33 GHz with the thickness of 20.6 mm (0.1 𝝀𝑳 ) under both TE and TM polarization. A prototype is fabricated and measured. The experimental results are in good agreement with the simulation results. The present work provides a new strategy to design ultra-wideband absorber in a way that does not introduce extra thickness. Index Terms—Ultra-wideband, microwave absorber, surface plasmon, dual-polarized. I. spoof INTRODUCTION BSOBERS can effectively absorb the incident electromagnetic (EM) waves. They play an important role in microwave applications such as stealth technology and electromagnetic compatibility (EMC). Nowadays, the development of detection technology and wireless communication, absorbers are strongly required throughout the frequency spectrum and the expansion of absorption bandwidth has become an essential topic in EM absorbers. An early attempt to broaden the absorption bandwidth is Jaumann absorber [1], which uses several layers of resistive sheets and dielectric layers. However, this design leads to unsatisfactory thickness and weight. Since broadband, low-profile and lightweight absorbers are strongly desired, researchers have proposed a few methods of different mechanisms to meet the requirement in the past few years. Most broadband absorbers are realized by introducing electric or magnetic resonance by electric or magnetic resonance by periodic structures. Circuit analog absorbers (CAAs) are typical electric resonance-based structures. Through electric resonance of FSS structure and loaded lumped resistors, wide operating-band and less thickness can be obtained [2]-[6]. Recently, a three-dimensional electric A Manuscript submitted February 10, 2023. This work is supported in part by the National Natural Science Foundation of China under Grant 51907185 and 52207214, and in part by Natural Science Foundation of Shanghai under Grant 21ZR1423100, Grant 21ZR1423700 and Shanghai Sailing Program Grant No. 21YF1412500. (Corresponding author: Zixuan Yi) M. Li, W. Hu, X. Yang, Z. Yi are with Shanghai Institute of Advanced Communication and Data Science, Key laboratory of Specialty Fiber Optics and Optical Access Networks, Shanghai University, Shanghai, China (e-mail: meilingli@shu.edu.cn; 2206526055@qq.com; yang.xx@shu.edu.cn; yizixuan@shu.edu.cn). resonance-based absorber is proposed to achieve ultrawideband absorption [7]. However, it suffers from the complexity of structure. Meanwhile, magnetic resonance can also be introduced to broaden the bandwidth [8]-[10] or achieve good incident-angle stability [11]-[12]. Spoof surface plasmon polariton (SSPP) structures can also play the role as absorbers whose mechanism is different with that of previous resonance-based absorbers [13]-[17]. Via dispersion engineering of SSPP, broadband and high-efficient absorption can be easily obtained. Although SSPP has these advantages, it still meets the difficulty of balance between the bandwidth and the thickness. In addition, few SSPP absorbers that works at low frequency ranges has been reported up to now. Recently, several hybrid structures with different absorption mechanisms have been proposed [18]-[20]. A wideband absorber which is a combination of SSPP structure and resistive FSS is proposed [18]. However, due to the positional relationship stacked up and down, the thickness of the combined structure is still relatively large. Another hybrid structure which takes good advantages of physical space is proposed, but it’s FBW is relatively narrow [19]. Thus, the design of ultra-wideband absorbers with different absorption mechanisms possesses potential research value. In this paper, an ultra-wideband absorber is proposed, which is based on two different absorption mechanisms: resonancebased absorption and SSPP absorption. It provides a new strategy to design ultra-wideband absorbers. In section II, firstly, a wide-band absorber works at lower frequency range is designed by SRR structures which introduce magnetic and electric resonances, another resistive FSS layer is also added on the top to achieve better absorption. Then a broadband SSPP absorber that works at higher frequency range is designed through dispersion engineering. Finally, these two absorbers are combined in a way which does not introduce extra thickness. After optimization of SSPP structure, the simulation results show that the absorption band of these two absorbers is connected successfully and ultra-wideband absorption is realized. In section III, the dual-polarized structure is designed. The simulation results indicate that the proposed structure can achieve ultra-wide absorption under both TE and TM polarization. In section IV, a prototype is fabricated and measured to validate our design concept. Finally, our conclusions are drawn in section V. II. A. DESIGN AND THEORETICAL ANALYSIS Design and Analysis of resonance-based absorber The unit cell of the proposed resonance-based absorber is depicted in Fig.1 (a), which consists of two combined split ring resonators (SRRs) with lumped resistors loaded on the gap. The thickness of the dielectric substrate (𝜀𝑟 = 4.4, 𝑡𝑎𝑛𝛿=0.02) is 2 mm. Here, SRRs are employed to get electric and magnetic IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION 3 |S11| (dB) 0 -5 -10 -15 9 11 7 5 Frequency (GHz) 13 15 (b) Fig. 1. (a)Geometry of the structure. The parameter values are: 𝑡 = 20, ℎ = 20 , 𝑎 = 17.6, 𝑏 = 18.6, 𝑤1 = 3, 𝑤2 = 2.8, 𝑤3 = 1.6, 𝑑𝑟 = 3.2, 𝑑𝑙 = 1.4. (unit: mm) R1=150 Ω, R2=150 Ω (b)Simulated reflection coefficient |𝑆11 |. (a) (b) 0 0 -10 |G| (dB) (a) 3 S parameters (dB) 1 |S11| |S12|,|S21| |S22| -20 1 3 5 7 9 11 Frequency (GHz) 13 -10 Simulated by HFSS Caculated by eq.(1) -20 15 1 (c) (a) (c) (b) (d) Fig. 2. Surface current distribution and power loss density at (a) 1.66 GHz (b) 3.67 GHz (c) 5 GHz (d) 8.54 GHz. resonances. The electric field parallel to the metal strip would excite induced current, which generates inductive inductances and the induced capacitances between the gap, leading to electric resonances. Meanwhile, magnetic resonances can also be induced while the magnetic field is perpendicular to the SRRs [12]. Further, the lumped resistors can not only achieve good impendence matching over wider band but also enhance absorption through thermal losses. At the same time, the interaction between the ground and structure can also introduce magnetic resonances [9], which also plays a non-negligible role in achieving broadband absorption. The simulated reflection coefficient |S11| is shown in Fig. 1(b) and the absorptivity is absorptivity is determined as 𝐴 = 1 − |𝑆11 |2 . The structure can achieve over 80% absorptivity from 1.42 to 8.99 GHz. Four resonance frequencies in the absorption band at 1.66 GHz, 3.67 GHz, 5 GHz and 8.54 GHz can be discovered. From the surface current and the power loss density of the resistor in Fig. 2, electric and magnetic resonances can be observed at different resonating frequencies. At 1.66 GHz, the surface current on the lowest strip and the ground plane are antiparallel, which can be 3 5 7 9 11 Frequency (GHz) 13 15 (d) Fig. 3. (a) Unit cell of the combined structure, the parameter values are (unit: mm): 𝑐 = 10.6 . (b) A schematic showing the flow diagram of EM waves in the combined structure. (c) Simulated S parameters of FSS layer. (d) Comparison of the simulated and calculated reflection coefficient |Γ| of the dual-layer absorber. regarded as a magnetic resonance. The current forms a loop on the upper SRR at 3.67 GHz, which also provides another magnetic resonance. Meanwhile, the current parallel with the E field of the incident wave provides an electric resonance at 5 GHz and 8 GHz. Therefore, these magnetic resonances and electric resonance and the lumped resistors are the key to realize wideband absorption. To enhance the absorption, an extra FSS layer is added on top of the former absorber. The combined structure can be regarded as a two-layer system, and its reflection coefficient Γ can be calculated by the following formula [19]: 𝛤 = 𝑆11 + 𝑆21 𝑆12 Γ𝑙 1−𝑆22 Γ𝑙 (1) 𝑆11 , 𝑆12 , 𝑆21 , 𝑆22 are the S parameters of the FSS layer, and Γ𝑙 is the reflection coefficient of the lower layer. It can be inferred from (1) that small 𝑆11 and 𝑆22 as well as large 𝑆12 and 𝑆21 are required to enhance absorption [20]. Meanwhile, taking the energy conservation relationship into account, the upper layer must be lossy to get better absorption. Thus, we introduce an resistive FSS layer, which consists of resistive square patches with sheet resistance 𝑅𝑠 = 335 Ω/sq printed on the 0.6 mm FR4 substrate. To minimize the interaction between these two layers, the resistive film is located at the edges of the unit cell. The 3-D view of the combined Simulated S parameters of the FSS layer are presented in Fig. 3(c). It is obvious that the condition of small 𝑆11 and 𝑆22 as well as large 𝑆12 and 𝑆21 is satisfied in the absorption band of the lower layer. It can be predicted that the combined absorber can achieve better absorption than that of the structure without resistive FSS layer. To verify our analysis further, the absorptivity of the two-layer structure calculated by (1) and full-wave simulation result are compared in Fig. 3(d). It can be observed that they are in good IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION 3 0 |S11| (dB) -10 -20 -30 Without resistors With R=50W With R=100W -40 1 (a)) (a) Frequency (GHz) 9 Light line w=6mm, without resistor w=6mm, with R=50W w=8.5mm, without resistor w=8.5mm, with R=50W w=11mm, without resistor w=11mm, with R=50W 6 3 0.2 0.4 0.6 bp/p 0.8 1.0 (b)) Fig. 4. (a) Geometry of the SSPP structure with different w and R. The parameter values are (unit: mm): 𝑠ℎ = 0.5, 𝑠𝑝 = 1 (b) Simulated dispersion relationship. agreement which indicates that the introduction of the resistive FSS layer is a feasible way to get better absorption. B. 5 7 9 11 Frequency (GHz) 13 15 (b) Fig. 5. (a) Schematic of the SSPP absorber with linearly varied length. the parameter values are (unit: mm): 𝑠ℎ = 0.5, 𝑠𝑝 = 1, ℎ𝑠 = 3. (b) Simulated reflection coefficient of the SSPP with and without resistors. 12 0 0.0 3 Design and Analysis of SSPP absorber To achieve ultra-wideband absorption, an SSPP absorber that works at high frequency range should be designed. The absorption mechanism of SSPP structure originates from its slow-wave characteristic. To explain in detail, as frequency approaches the asymptotic frequency of SSPP, the group velocity of the surface wave tends to zero and the energy can be effectively absorbed by the lossy substrate. Typical SSPP absorbers structures consist of corrugated metal strips [16], parallel metal wire arrays or meandered-wireshaped metal strips [14]. The dielectric loss and ohmic loss would lead to the absorption, hence, high density and large amounts of metal wires are required to achieve broadband and high-efficient absorption. Recent researches indicate that loading lumped resistors is an effective way to reduce density and numbers of the metal strips and get better absorption [21][22]. In consideration of the combination of SSPP structure and resonance-based absorber, the interaction between them should be as weak as possible. Thus, metal strips array with loaded resistors is a better choice to be employed as broadband absorber at higher frequency ranges. The unit element of the SSPP structure is depicted in Fig. 4(a). Periodic boundaries are set along z direction and the dispersion relationships with respect to different w are calculated by simulation software. The comparison between the dispersion relationship of SSPP with and without resistors are shown in Fig. 4(b). It can be discovered that the introduction of resistors takes little effect on the dispersion relationships of SSPP. Therefore, the introduction of lumped resistors According to the mentioned above, an absorption band near the asymptotic frequency can be formed and the application of resistors can strengthen the absorption. To achieve broadband absorption, the dimension of SSPP structure should be designed with gradient length. As the resonance-based shows poor absorption performance in the frequency ranges of 9 GHz -11 GHz and 13 GHz - 15 GHz, the SSPP absorber should take effect at these frequency ranges. In addition, taking the influence of the FSS layer into consideration, the beginning and ending frequency should be set at lower frequencies, which is chosen as 8 GHz and 13 GHz. Since the absorption frequency range is settled, the dispersion relation in Fig. 4(b) can help us to determine the initial and terminal length w. Therefore, the length of the metal strips is chosen to be linearly varying from 5 mm to 10 mm. The configuration of the SSPP absorber is presented in Fig. 5(a) and the absorption performance comparison between the structure with and without resistors are shown in Fig. 5(b). It can be observed from Fig. 5(b) that the absorption band starts at 7.5 GHz and ends at about 12 GHz, which is consistent with the analysis through dispersion relationship. By optimizing those resistors, the final SSPP absorber with the resistors of 100 Ω can achieve a broadband absorption over -10 dB from 7.2 GHz -13 GHz. Design and Analysis of the hybrid structure Since the resonance-based absorber works at lower frequency range while the SSPP absorber operates at higher frequency range, a possible way to achieve ultra-wideband absorption is by placing the two absorbers on either side of the dielectric substrate. The schematic of the hybrid absorber is depicted in Fig. 6(a). Due to the unignorable interaction between the two absorbers, the original hybrid absorber formed by directly combining these two absorbers without changing the parameters has poor absorption performance in the interim frequency band, as shown the results in Fig. 6(b). Therefore, the length and location of SSPP structure should also be adjusted and the reflection coefficient of the optimized hybrid structure is presented in Fig. 6(b) which indicates that the absorber can achieve -10dB reflectivity from 1.44 GHz to 13.5 GHz. From the surface power loss density of lumped resistors shown in Fig. 7, the effect of the different part of the hybrid absorber on working frequency band can be found. In lower frequency range (1.43 GHz-6 GHz), the energy is absorbed by the resonance-based structure. The SSPP structure takes charge of the absorption in higher frequency range (10 GHz -13.5 GHz). Moreover, in the middle frequency range (6 GHz - 10 GHz), both resonance-based and SSPP structures take effect in absorption. This phenomenon demonstrates that the combination of absorbers with different absorption mechanisms is the key to realize ultra-wideband absorption. C. IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION 3 |S11| (dB) 0 -10 Orginal hybrid absorber Optimized hybrid absorber -20 1 (a) 3 5 7 9 11 Frequency (GHz) 13 15 (b) Fig. 6. (a)Schematic of the hybrid absorber. The parameter values are (unit: mm): 𝑤1 = 4.3 , 𝑤9 = 7.9 (linearly increase), 𝑤10 = 8 , ℎ𝑠 = 6 . (b) Comparison of the simulated reflection coefficient of the original hybrid absorber and the optimized one. 0 -10 -10 |S11| dB |S11| (dB) (a) 0 -20 TE polarization,q=0° TE polarization,q=30° -30 1 Fig. 7. Surface power loss density at different frequencies. 3 5 7 9 11 -20 TM polarization,q=0° TM polarization,q=30° -30 13 15 1 3 Frequency (GHz) (b) 15 (c) 0 0 -10 -10 |S11| (dB) It is obvious that the above hybrid absorber is polarization sensitive, leading to the limitations in applications. Thus, a dual-polarized absorber is proposed based on the previous absorber. The 3-D view of the unit cell of dual-polarized absorber is shown in Fig. 8(a) and the parameters of the present structure are slightly adjusted to ensure the absorption performance. The simulated reflection coefficient of the absorber is given in Fig. 8(b) and (c). Under normal incident wave, the absorber can achieve -10 dB reflectivity from 1.45 GHz to 13.33 GHz with an FBW of 160.7%. However, as the incident angle increases, the absorption deteriorates in some frequency ranges, especially in the frequency range of 8.5 GHz9.6 GHz under TE polarization, the worst reflection coefficient is about -6.7 dB. To improve the stability under oblique incidence, the number of strip lines of SSPP structure is increased to 15, and their length is also adjusted, which linearly changes from 4.3 mm to 8.8 mm. As is shown in Fig.9, the optimized structure shows better incident angle stability, which keeps -10 dB reflection coefficient or lower in most frequency range and the worst reflection coefficient under 30°incident wave is about -8 dB. 13 Fig. 8. (a) Unit cell structure of the dual-polarized absorber. The parameter values are (unit: mm): 𝑤1 = 4, 𝑤10 = 9 (linearly increase), ℎ𝑠 = 8, b = 17.6, c = 8. Simulated reflection coefficient of the optimized absorber under (b) TE polarization incident waves. (c) TM polarization incident waves. |S11| (dB) III. DUAL-POLARIZED ULTRA-WIDEBAND ABSORBER 5 7 9 11 Frequency (GHz) -20 TE polarization,q=0° TE polarization,q=30° -30 1 3 5 7 9 11 Frequency (GHz) -20 TM polarization,q=0° TM polarization,q=30° -30 13 15 1 3 (a) 5 7 9 11 Frequency (GHz) 13 15 (b) Fig. 9. Simulated reflection coefficient of the optimized absorber under (a) TE polarization incident waves. (b) TM polarization incident waves. and the amended reflection coefficient can be obtained by subtracting the former two reflectivity. The measured results are plotted and compared in Fig. 10(b), which basically consists with the simulation. The agreement between the simulated results and measured results validates our design. Finally, Table I compares the performance of our presented absorber and that of recently reported absorbers. IV. EXPERIMENTAL VERIFICATION AND DISCUSSION V. CONCLUSION To verify the performance of the proposed absorber, a prototype has been fabricated. The sample includes 10*10 unit cells with a dimension of 20 mm*20 mm*20.6 mm and the absorption performance is measured by free space method. The prototype and measurement environment are depicted in Fig. 10(a). Before measuring the reflectivity of the absorber, the reflectivity of a metal plate placing at the same place is firstly recorded. Then the performance of the absorber is also tested In conclusion, we propose a 3-D absorber via combining resonance-based absorber and SSPP structure without introducing extra thickness. The combination of different absorption mechanisms is the key to achieve the ultra-wideband absorption, which provides a novel method to design ultra-wide -band absorbers. The absorber achieves absorption over 90% from 1.45 GHz to 13.33 GHz under both TE and TM polarization waves with the thickness of 20.6 mm (0.1 𝝀𝑳 ) and IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION 3 TABLE I COMPARISONS WITH OTHER ABSORBERS Ref. -10dB Bandwidth (GHz) / FBW (%) Polarization Thickness (𝝀𝑳 ) Absorption Mechanisms [6] 1.03-13.27/171.2% Single 0.101 Resonance-based [7] 1.50-12.31/156.6% Dual 0.113 Resonance-based [14] 9-35/118.2% Dual 0.15 SSPP [19] 3.9-10.6/92.4% Dual 0.091 Resonance-based + SSPP This work 1.45-13.33/160.7% Dual 0.1 Resonance-based + SSPP 𝜆𝐿 is the wavelength at the lowest frequency in free space of the absorption band [5] [6] [7] (a) 0 [8] |S11| (dB) -10 [9] -20 [10] -30 Simulated |S11| Measured |S11| [11] -40 1 3 5 7 9 11 Frequency (GHz) 13 15 (b) [12] Fig. 10. (a) Photograph of the fabricated absorber and the measurement environment. (b) Comparison of simulated and measured results. the performance is verified experimentally. 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