Miniaturized anti-noise ultralow-frequency electromagnetic resonance system based on Floquet topology metamaterial

Abstract

The invention relates to the technical field of topological metamaterials, in particular to a Floquet topological metamaterial-based miniaturized anti-noise ultralow-frequency electromagnetic resonance system, which comprises a multi-layer one-dimensional SSH metamaterial group, the one-dimensional SSH metamaterial group comprises a plurality of low-resonant-frequency metamaterial units, the plurality of low-resonant-frequency metamaterial units are connected through an in-layer capacitor, and the plurality of low-resonant-frequency metamaterial units are connected through an in-layer capacitor. The low-resonant-frequency metamaterial unit is composed of a plurality of metal rings and a dielectric layer, wherein the metal rings are sequentially arranged towards the inner circle from large to small, the dielectric layer is used for fixing the metal rings, and a distance exists between every two adjacent metal rings in the metal rings. In the multiple layers of one-dimensional SSH type metamaterial groups, every two adjacent layers of one-dimensional SSH type metamaterial groups are coupled and connected through a plurality of interlayer capacitance forks. According to the low-resonant-frequency topological metamaterial provided by the invention, the metamaterial of an SSH structure is adopted to construct a Floquet metamaterial system through capacitor connection, ultralow-frequency transmission of signals is realized by adjusting the capacitors in the system and resonant frequencies of metamaterial units in different layers, and meanwhile, the system is small in size and high in anti-noise performance.

Description

Technical Field

[0001] This invention relates to a miniaturized noise-resistant ultra-low frequency electromagnetic resonant system based on Floquet topological metamaterials, belonging to the field of topological metamaterials technology. Background Technology

[0002] Metamaterials are artificially designed and precisely fabricated composite materials that do not exist naturally but exhibit electromagnetic properties distinct from natural materials and conventionally synthesized materials. These materials are fabricated by periodically arranging and attaching tiny metallic structural units to the surface of substrate materials such as diamond and polyimide. Due to their unique design, metamaterials can exhibit special physical phenomena not found in natural materials. Notably, their dielectric constant and permeability can both be negative, a characteristic that contrasts sharply with conventional materials. Electromagnetic response is the core factor determining the two key parameters of metamaterials (dielectric constant and permeability), and these electromagnetic response characteristics are mainly controlled by parameters such as the structural shape, number of layers, and size of the metamaterial's periodic units. Therefore, by designing and optimizing the specific parameters of the metamaterial's periodic units, their electromagnetic properties can be precisely controlled, thereby enabling the development of novel materials with specific functions. Topological properties refer to properties that remain unchanged under continuous deformation. Topological attributes are associated with integers of topological invariants. Because their topological invariants do not change, topological metamaterials can achieve many properties that traditional metamaterials cannot, such as topological protection, topological boundary effects, and topological superconductivity. This makes topological metamaterials extremely promising for applications in quantum computing, quantum communication, and high-speed data transmission.

[0003] As the working environment of aerospace instruments becomes increasingly harsh, electronic equipment needs to maintain good performance even in extremely harsh conditions. Currently available metamaterial low-frequency resonant systems do not meet these requirements or application environments. Summary of the Invention

[0004] To address the problem that existing electronic devices cannot maintain good performance in extreme and harsh environments, this invention proposes a miniaturized noise-resistant ultra-low frequency electromagnetic resonant system based on Floquet topological metamaterials.

[0005] The technical solution adopted by the present invention to solve the above problems is as follows: The present invention includes a miniaturized noise-resistant ultra-low frequency electromagnetic resonant system based on Floquet topological metamaterial, the system comprising: A multilayer one-dimensional SSH-type metamaterial assembly, comprising: multiple low-resonance frequency metamaterial units, the multiple low-resonance frequency metamaterial units being connected by in-layer capacitance, each low-resonance frequency metamaterial unit consisting of multiple metal rings arranged in descending order of size and an inner ring, and a dielectric layer fixing the multiple metal rings, wherein there is a gap between adjacent metal rings in the multiple metal rings; In the multilayer one-dimensional SSH metamaterial assembly, adjacent one-dimensional SSH metamaterial assemblies are connected by multiple interlayer capacitive fork couplings.

[0006] Furthermore, the metal ring is made of copper.

[0007] Furthermore, the dielectric layer is made of FR-4 epoxy board. Furthermore, the number of metal rings is four.

[0008] Furthermore, the metal ring is a square metal ring.

[0009] Furthermore, the thickness of the metal ring is 0.035 mm.

[0010] Furthermore, the thickness of the dielectric layer is 0.5 mm.

[0011] Furthermore, the intralayer capacitance consists of alternating first capacitors C a Second capacitor C b composition.

[0012] Furthermore, the first capacitor C a Use a 50pF capacitor.

[0013] Furthermore, the second capacitor C b Use a 150pF capacitor.

[0014] Furthermore, the interlayer capacitor is a 60pF capacitor.

[0015] The beneficial effects of this invention are: 1. The present invention provides a low-resonance-frequency topological metamaterial in the ultra-low frequency resonant system based on Floquet topological metamaterial. The resonant frequency can be changed by modifying the size of the metal ring. By utilizing the different resonant frequencies of different metamaterial units, the Floquet metamaterial system is constructed by connecting the metamaterials with SSH structure through coupling capacitors. By adjusting the intralayer capacitance and the resonant frequencies of the metamaterial units in different layers of the system, a situation where π mode and zero mode coexist in the Floquet metamaterial system is generated. As a result, a low-frequency resonance occurs at the edge node of the SSH metamaterial, realizing an ultra-low resonant frequency system, and thus realizing ultra-low frequency signal transmission.

[0016] 2. The ultra-low frequency resonant system based on Floquet topological metamaterial provided by this invention has simple materials, low cost, small size, and strong noise resistance. It can be better applied to underwater communication, UAV signal transmission and other fields, making signal transmission safer, more convenient and faster. Attached Figure Description

[0017] To more clearly illustrate the technical solutions in the embodiments of the present invention or the prior art, the drawings used in the description of the embodiments or the prior art will be briefly introduced below. Obviously, the drawings described below are only embodiments of the present invention. For those skilled in the art, other drawings can be obtained based on the provided drawings without creative effort.

[0018] Figure 1 This invention relates to a miniaturized, noise-resistant, ultra-low frequency electromagnetic resonant system based on Floquet topological metamaterials; Figure 2 This is a schematic diagram of the metamaterial unit 2 structure of the present invention; Figure 3 This is a schematic diagram of the structure of the metal layer 1 of the present invention; Figure 4 This is a diagram of the resonant frequencies of the metamaterial unit of the present invention; Figure 5 This is a schematic diagram of the one-dimensional SSH-type metamaterial assembly structure formed by the capacitors within the metamaterial unit connecting layer of the present invention; Figure 6 This is a voltage distribution diagram of the present invention in metamaterials; Figure 7 This is a normalized analysis diagram of the voltage simulation results of the metamaterial of this invention; Figure 8 This is a schematic diagram of a 5×10 metamaterial array consisting of 50 metamaterial units according to the present invention; Figure 9 This is a schematic diagram of the voltage at the edge nodes and body nodes of an ultra-low frequency resonant system. Figure 10 This is a schematic diagram of the voltage corresponding to the edge node frequencies of an ultra-low frequency resonant system from 0 to 1 kHz. Detailed Implementation Specific implementation method one: Combination Figure 1 This embodiment describes a miniaturized noise-resistant ultra-low frequency electromagnetic resonant system based on Floquet topological metamaterials. The system includes: A multilayer one-dimensional SSH-type metamaterial assembly, comprising: multiple low-resonance frequency metamaterial units, the multiple low-resonance frequency metamaterial units being connected by in-layer capacitance, each low-resonance frequency metamaterial unit consisting of multiple metal rings arranged in descending order of size and an inner ring, and a dielectric layer fixing the multiple metal rings, wherein there is a gap between adjacent metal rings in the multiple metal rings; In the multilayer one-dimensional SSH metamaterial assembly, adjacent one-dimensional SSH metamaterial assemblies are connected by multiple interlayer capacitive fork couplings.

[0020] It should be noted that the miniaturized noise-resistant ultra-low frequency resonant system provided by this invention consists of low-resonance-frequency metamaterial units connected by capacitors to form a one-dimensional SSH-type metamaterial assembly. The resonant frequency of the metamaterial unit is changed by adjusting the size of the metal ring within the metamaterial unit, effectively grounding the metamaterial unit. LC A resonant circuit is constructed, connecting metamaterial units with different resonant frequencies into a one-dimensional SSH metamaterial system in different rows. Multiple one-dimensional SSH metamaterial groups are cross-connected through interlayer coupling capacitors. Since the zero-mode and π-mode coexist in the Floquet metamaterial system, low-frequency resonance exists at the edge nodes of the SSH metamaterial, exhibiting excellent noise immunity. The low-frequency resonance is further amplified by the low resonant frequency of the metamaterial units themselves. Therefore, connecting capacitors through Floquet topological metamaterial units enables miniaturization, noise immunity, and ultra-low frequency resonance.

[0021] Furthermore, the two adjacent one-dimensional SSH-type metamaterial groups are connected by multiple interlayer capacitive forks, including: The first low-resonance frequency metamaterial unit of the previous one-dimensional SSH metamaterial group is connected to the second low-resonance frequency metamaterial unit of the next one-dimensional SSH metamaterial group through the first interlayer capacitor, and the second low-resonance frequency metamaterial unit of the previous one-dimensional SSH metamaterial group is connected to the first low-resonance frequency metamaterial unit of the next one-dimensional SSH metamaterial group through the second interlayer capacitor, forming a cross-coupled connection. The second low-resonance frequency metamaterial unit of the previous one-dimensional SSH metamaterial group is connected to the third low-resonance frequency metamaterial unit of the next one-dimensional SSH metamaterial group through the third interlayer capacitor, and the third low-resonance frequency metamaterial unit of the previous one-dimensional SSH metamaterial group is connected to the second low-resonance frequency metamaterial unit of the next one-dimensional SSH metamaterial group through the fourth interlayer capacitor, forming a cross-coupled connection. Repeat the above connection method to complete the cross-coupling connection of two adjacent one-dimensional SSH-type metamaterial groups.

[0022] Furthermore, the metal ring is made of copper.

[0023] Furthermore, the dielectric layer is made of FR-4 epoxy board.

[0024] Furthermore, the number of metal rings is four.

[0025] Specifically, the two ends of the in-layer capacitor are connected to the third metal ring from the outside to the inside of the four metal rings in the metamaterial unit.

[0026] Furthermore, the metal ring is a square metal ring.

[0027] Specifically, the ultra-low resonant frequency of the Floquet topological metamaterial unit can be achieved using four square metal rings of different sizes. Moreover, since the metal rings are square, square dielectric layers, specifically cuboids, can be used to place the metal rings. This allows the dielectric layers of multiple metamaterial units to be closely arranged, further reducing the size of the system.

[0028] Furthermore, the thickness of the metal ring is 0.035 mm.

[0029] Furthermore, the thickness of the dielectric layer is 0.5 mm.

[0030] Furthermore, the intralayer capacitance consists of alternating first capacitors C a Second capacitor C b composition.

[0031] Furthermore, the first capacitor C a Use a 50pF capacitor.

[0032] Furthermore, the second capacitor C b Use a 150pF capacitor.

[0033] Furthermore, the interlayer capacitor is a 60pF capacitor.

[0034] Specifically, the two ends of the interlayer capacitor are connected to the third metal ring from the outside to the inside of the four metal rings in the metamaterial unit. Specific Implementation Method Two: To facilitate understanding of the technical solution of Embodiment 1, this application provides an illustration through specific embodiments.

[0036] In the ultra-low frequency resonant system based on Floquet topological metamaterials provided in the second specific embodiment of this application, such as Figure 2The diagram shows a schematic of metamaterial unit 2. This metamaterial unit structure consists of a dielectric layer 3 and a metal layer 1. The period of this unit structure is p = 20 mm. The metal layer consists of four square metal rings spaced apart, with a thickness of 0.035 mm between the rings. The dielectric layer is made of FR-4 epoxy board with a thickness of h = 0.5 mm, a dielectric constant of ε = 4.2, and a tangent loss tanδ = 0.02. All metal rings are made of copper, and the overall structure is symmetrical about the center. The dielectric layer is a cuboid.

[0037] like Figure 3 The diagram shows the structure of metal layer 1, which mainly consists of four nested square rings. The lengths of the outer rings from the outermost to the innermost are L1, L2, L3, and L4, respectively, while the lengths of the inner rings from the outermost to the innermost are W1, W2, W3, and W4, respectively. The size of the square metal rings is crucial for achieving a low resonant frequency, and the thickness of the square metal rings is 0.035 mm. like Figure 4 The diagram shown is a resonant frequency diagram of the metamaterial unit.

[0038] In order to make good use of the low resonant frequency characteristic of Floquet topological metamaterials, this invention conducted multiple data experiments on metamaterial units. Multiple simulation examples have proved that metamaterial units with multiple nested square rings can effectively achieve low resonant frequency characteristics.

[0039] Specifically, based on the design principles of coded metamaterials, the lengths L1, L2, L3, and L4 of the four square metal rings are taken as 16.4 mm, 12.5 mm, 10.4 mm, and 7 mm, respectively, while the lengths W1, W2, W3, and W4 of the four square metal rings are taken as 15.4 mm, 11.5 mm, 9.4 mm, and 6 mm, respectively.

[0040] Experimental simulations showed that the resonant frequency of the Floquet topological metamaterial unit was 3.5 GHz, while the resonant frequency of existing traditional metamaterial units is generally THz or in the range of several hundred GHz. It can be seen that the resonant frequency of the Floquet topological metamaterial unit designed in this invention is much lower than that of traditional metamaterial units.

[0041] Simultaneously, the size of the square metal rings was further modified to slightly alter the resonant frequencies of different Floquet topological metamaterial units. Further experimental simulations were conducted on five Floquet topological metamaterial units. The sizes of the three outermost metal rings in the metal layer remained unchanged. By modifying the size of the innermost metal ring, when the resonant frequency difference was approximately 0.3 kHz, the sizes of the other four innermost metal rings were as follows: the first innermost metal ring L4 = 8.1 mm, W4 = 0.2 mm; the second innermost metal ring L4 = 7.7 mm, W4 = 0.3 mm; the third innermost metal ring L4 = 8.5 mm, W4 = 3.1 mm; and the fourth innermost metal ring L4 = 6.6 mm, W4 = 2.2 mm. Even with a low resonant frequency, a low resonant frequency difference still exists, allowing for the construction of a subsequent miniaturized, noise-resistant, low-resonant-frequency system.

[0042] To observe the electromagnetic effects of a metamaterial composed of Floquet topological metamaterial units, and to reduce the coupling effect between different metamaterial unit structures, a low-resonance frequency system consisting of 10 identical 1×10 Floquet topological metamaterial units was first used. The 10 Floquet topological metamaterial units were connected via in-layer capacitors. Since the voltage is mainly concentrated in the third square metal ring from the outside in the metal layer, a row of metamaterial units was obtained by connecting the third square metal ring with wires and then connecting it to the in-layer capacitors. Due to the low resonant frequency of the Floquet topological metamaterial units, each metamaterial unit was equivalent to a grounded LC resonant circuit. The grounded LC resonant circuits were connected via interlayer capacitors to achieve an equivalent simulation of the multilayer one-dimensional SSH-type metamaterial assembly. The one-dimensional SSH-type metamaterial assembly formed by connecting metamaterial units to in-layer capacitors is shown below. Figure 5 As shown. Because when the in-layer capacitance of a one-dimensional SSH-type metamaterial group satisfies the first capacitance C connecting the first grounded LC resonant circuit and the second grounded LC resonant circuit... a The capacitance C is less than that connecting the second grounded LC resonant circuit and the third grounded LC resonant circuit. b At that time, the voltage will be concentrated at both ends of the one-dimensional SSH-type metamaterial assembly.

[0043] To verify this result, the capacitance connecting the Floquet topological metamaterial unit was sequentially set to C. a and C b Arranged alternately along the y-direction, and C a = 50 pF, C b = 150 pF, and a simulation was performed. The electromagnetic wave was incident along the z-direction, and its voltage distribution diagram was obtained, as shown below. Figure 6The figure shows the voltage distribution in the metamaterial. It can be observed that when the capacitance C... a = 50 pF, C b =150 pF, capacitor C a Less than C b At that time, the voltage distribution of the metamaterial assembly is mainly concentrated in the two outermost Floquet topological metamaterial units. As mentioned above, the metamaterial assembly formed by connecting Floquet topological metamaterial units with in-layer capacitance realizes the simulation of one-dimensional SSH type metamaterials. The voltage distribution of one-dimensional SSH type metamaterials is only related to the in-layer capacitance. Therefore, during the simulation, the voltage distribution of Floquet topological metamaterial units is only related to the in-layer coupling capacitance. When the in-layer capacitance changes, the voltage distribution will also change. When the in-layer capacitance is C... a Less than C b Simulation of the circuit was successfully achieved, and the results matched the expected outcomes. Further analysis of the metamaterial unit voltage was conducted, and the simulation results were normalized. The results are as follows: Figure 7 As shown, by calculating the voltage of half of the metamaterial units, the calculation results show that the voltage value of the leftmost metamaterial unit is significantly higher than that of the middle metamaterial unit. Furthermore, since the metamaterial units have low resonant frequency characteristics, the Floquet topological metamaterial system formed by connecting capacitors to Floquet topological metamaterial units still has low resonant frequency characteristics, which is very consistent with the expected results.

[0044] To further illustrate the miniaturization, noise immunity, and low resonant frequency characteristics of the proposed Floquet topological metamaterial system, the case of using five metamaterial units with different resonant frequencies, as described above, is illustrated. Ten identical 1×10 metamaterial units are connected by in-layer capacitance to form a five-row one-dimensional SSH-type metamaterial group, and C is set to... a = 50 pF, C b = 150 pF, metamaterial units in multiple SSH chains are connected by interlayer coupling capacitors according to the magnitude of the resonant frequency, where the interlayer coupling capacitor is C. v , making C v = 60 pF, forming a 5×10 metamaterial array with 50 metamaterial units, such as Figure 8 As shown, the formed metamaterial array is a miniaturized ultra-low frequency resonant system based on Floquet topological metamaterial units. Specific experimental results are as follows: Figure 9 and Figure 10 As shown, Figure 9 This is a schematic diagram of the voltages at the edge nodes and volume nodes of an ultra-low frequency resonant system. Figure 10This diagram illustrates the voltage corresponding to the edge node frequencies of an ultra-low frequency resonant system ranging from 0 to 1 kHz. The ultra-low frequency resonance is 0.32 kHz. Since each metamaterial unit has a certain resonant frequency difference, it is equivalent to a grounded LC resonant circuit, connected according to interlayer capacitance. Theoretical derivation shows that the Floquet metamaterial ultra-low frequency resonant system satisfies the condition that a low-frequency resonance occurs at the edge node when zero-film and π-film coexist. When the metamaterial unit has a low resonant frequency, the system composed of Floquet metamaterial units exhibits ultra-low frequency properties. Furthermore, due to the period p = 20 mm of a single Floquet topological metamaterial unit, the system is miniaturized. Because Floquet topological metamaterials possess noise immunity, the Floquet metamaterial ultra-low frequency resonant system also exhibits noise immunity. The resonant frequency of traditional metamaterial resonant systems is typically GHz, while the resonant frequency of the low-frequency resonant system included in this invention is far lower than that of traditional metamaterial systems, meeting the invention requirements. This provides a low-frequency signal source for underwater communication and seabed exploration, and also provides a foundation and direction for future communication transmission research.

[0045] The above description is merely a preferred embodiment of the present invention and is not intended to limit the present invention in any way. Although the present invention has been disclosed above with reference to preferred embodiments, it is not intended to limit the present invention. Any person skilled in the art can make some modifications or alterations to the above-disclosed technical content to create equivalent embodiments without departing from the scope of the present invention. Any simple modifications, equivalent substitutions, and improvements made to the above embodiments without departing from the scope of the present invention, based on the technical essence of the present invention and within the spirit and principles of the present invention, shall still fall within the protection scope of the present invention.

Claims

1. A miniaturized noise-resistant ultra-low frequency electromagnetic resonant system based on Floquet topological metamaterial, characterized in that, The system includes: A multilayer one-dimensional SSH-type metamaterial assembly, comprising: multiple low-resonance frequency metamaterial units, the multiple low-resonance frequency metamaterial units being connected by in-layer capacitance, each low-resonance frequency metamaterial unit consisting of multiple metal rings arranged in descending order of size and an inner ring, and a dielectric layer fixing the multiple metal rings, wherein there is a gap between adjacent metal rings in the multiple metal rings; In the multilayer one-dimensional SSH metamaterial assembly, adjacent one-dimensional SSH metamaterial assemblies are connected by multiple interlayer capacitive fork couplings.

2. The miniaturized noise-resistant ultra-low frequency electromagnetic resonant system based on Floquet topological metamaterial according to claim 1, characterized in that, The metal ring is made of copper.

3. The miniaturized noise-resistant ultra-low frequency electromagnetic resonant system based on Floquet topological metamaterial according to claim 1, characterized in that, The dielectric layer is made of FR-4 epoxy board.

4. A miniaturized noise-resistant ultra-low frequency electromagnetic resonant system based on Floquet topological metamaterial according to claim 1, characterized in that, The number of metal rings is 4.

5. A miniaturized noise-resistant ultra-low frequency electromagnetic resonant system based on Floquet topological metamaterial according to claim 1, characterized in that, The metal ring is a square metal ring.

6. A miniaturized noise-resistant ultra-low frequency electromagnetic resonant system based on Floquet topological metamaterial according to claim 1, characterized in that, The thickness of the metal ring is 0.035 mm.

7. A miniaturized noise-resistant ultra-low frequency electromagnetic resonant system based on Floquet topological metamaterial according to claim 1, characterized in that, The thickness of the dielectric layer is 0.5 mm.

8. A miniaturized noise-resistant ultra-low frequency electromagnetic resonant system based on Floquet topological metamaterial according to claim 1, characterized in that, The intralayer capacitance consists of alternating first capacitors C a Second capacitor C b composition.

9. A miniaturized noise-resistant ultra-low frequency electromagnetic resonant system based on Floquet topological metamaterial according to claim 8, characterized in that, The first capacitor C a Use a 50pF capacitor.

10. A miniaturized noise-resistant ultra-low frequency electromagnetic resonant system based on Floquet topological metamaterial according to claim 8, characterized in that, The second capacitor C b Use a 150pF capacitor.

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