System and method for realizing customizable wireless power transmission by using equal-spectrum modulated non-Hermite photon chain

Abstract

The invention relates to the technical field of wireless energy transmission, in particular to a customizable wireless electric energy transmission system and method for an equal-spectrum-modulated non-Hermite photon chain, and the method comprises the following steps: sequentially coupling and connecting N coil resonators to form a Jx photon chain model, the coupling strength between the two coil resonators is controlled by adjusting the distance between the two coil resonators, and the coupling strength is distributed in a parabola shape. In wireless power transmission, a load is in coupling connection with a coil resonator through a receiving coil, and an excitation source is in coupling connection with the coil resonator located at one end; according to the access positions of the loads, the excitation frequency of the excitation source is adjusted so that the coil resonators in coupling connection with the corresponding loads can show the maximum energy density. Through excitation of different frequencies, the frequency selective energy localization phenomenon at the preset position is successfully realized, and the method is suitable for a multi-load application scene.

Description

Technical Field

[0001] This invention relates to the field of wireless power transfer technology, specifically to a customizable wireless power transfer system and method using a non-Hermitian photonic chain with isospectral modulation. Background Technology

[0002] Wireless Power Transfer (WPT) technology is widely used in mobile devices, robots, and electric vehicles. The main near-field modes include inductive power transfer (IPT), capacitive power transfer (CPT), and magnetic resonant power transfer (MRPT). IPT relies on tightly aligned coils and is sensitive to positional perturbations. While CPT extends transmission distance, it is susceptible to environmental interference and has poor load adaptability. MRPT is limited by its physical size, making it difficult to adapt to complex application scenarios. Recent research has proposed one-dimensional domino repeater structures, but their efficiency is prone to rapid decline due to positional perturbations. Topological dimer chains based on the SSH model can improve the robustness of WPT to perturbations, but they only support single-load terminal transmission and still cannot adapt to complex multi-load application scenarios. Therefore, there is an urgent need to develop efficient WPT transmission systems adaptable to multi-load application scenarios. Summary of the Invention

[0003] The purpose of this invention is to overcome the shortcomings of the prior art and provide a customizable wireless power transmission system and method for non-Hermitian photonic chains with isospectral modulation. This solves the problem that while the topological dimer chains of the existing SSH model can improve the robustness of WPT to perturbations, they cannot adapt to multi-load application scenarios.

[0004] The technical solution to achieve the above objectives is:

[0005] This invention provides a method for realizing customizable wireless power transfer in a non-Hermitian photonic chain with isospectral modulation, comprising the following steps:

[0006] Provide N coil resonators, and connect the N coil resonators sequentially to form J x In the photonic chain model, where N is a positive integer greater than or equal to 3, the coupling strength between two coil resonators is controlled by adjusting the distance between them, allowing the J... x The magnitudes of the coupling strengths in the photonic chain model exhibit a parabolic distribution.

[0007] In wireless power transmission, the load is connected to J via a receiving coil. xIn the photonic chain model, a coil resonator is coupled to allow the excitation source to be coupled to the J... x In the photonic chain model, a coil resonator is coupled at one end;

[0008] The excitation frequency of the excitation source is adjusted according to the load connection location so that the coil resonator coupled to the corresponding load exhibits maximum energy density.

[0009] A further improvement of the present invention regarding the customizable wireless power transfer method for non-Hermitian photonic chains with isospectral modulation lies in the fact that, based on the relationship between the distance and coupling strength between two coil resonators, the coupling strength can be controlled by adjusting the distance. The relationship between the distance and coupling strength between the two coil resonators is as follows:

[0010] κ=79e -d / 2.29 +6.0 Formula 1;

[0011] In Equation 1, κ is the coupling strength between two adjacent coil resonators, and d is the distance between two adjacent coil resonators.

[0012] A further improvement of the present invention on the method for realizing customizable wireless power transfer via isospectral modulation of non-Hermitian photonic chains is that it further includes:

[0013] Establish a relation lookup table, which stores the J... x The correspondence between the highest point of the local density of states of each coil resonator in the photonic chain model and the excitation frequency of the excitation source;

[0014] When adjusting the excitation frequency of the excitation source, the corresponding excitation frequency is obtained through the relationship lookup table to control the excitation source to adjust the frequency.

[0015] A further improvement of the present invention on the customizable wireless power transmission method for non-Hermitian photonic chains with isospectral modulation is that, in wireless power transmission, the number of loads is two or more, and the upper limit of the number of loads is N.

[0016] A further improvement of the present invention on the method for realizing customizable wireless power transfer via isospectral modulation of non-Hermitian photonic chains is that it further includes:

[0017] Define a characteristic coupling strength κ0, and calculate the coupling strength between the two coil resonators using the following formula. The magnitudes of the calculated coupling strengths are parabolic.

[0018]

[0019] In equation two, κ nκ0 represents the coupling strength between the nth coil resonator and the (n+1)th coil resonator, where n ranges from 1 to N-1, κ0 is the characteristic coupling strength, and N is the number of coil resonators.

[0020] This invention also provides a customizable wireless power transfer system realized by an isospectral modulated non-Hermitian photonic chain, comprising:

[0021] J x The photonic chain model consists of N coil resonators that are coupled together in sequence, where N is a positive integer greater than or equal to 3;

[0022] With the J x In the photonic chain model, a frequency-tunable excitation source is coupled to a coil resonator located at one end;

[0023] Specifically, the coupling strength between two adjacent coil resonators is adjusted by changing the distance between them, so that the J... x The magnitudes of the coupling strengths in the photonic chain model exhibit a parabolic distribution.

[0024] In wireless power transmission, the load can be connected to the J via a receiving coil. x In the photonic chain model, a coil resonator is coupled together. Depending on the location of the load, the excitation frequency of the excitation source is adjusted so that the coil resonator coupled to the corresponding load exhibits the maximum energy density.

[0025] A further improvement of this invention, which implements a customizable wireless power transfer system using a non-Hermitian photonic chain with isospectral modulation, lies in the relationship between the distance between two adjacent coil resonators and the coupling strength between them:

[0026] κ=79e -d / 2.29 +6.0 Formula 1;

[0027] In Equation 1, κ is the coupling strength between two adjacent coil resonators, and d is the distance between two adjacent coil resonators.

[0028] A further improvement of the present invention, which implements a customizable wireless power transfer system using an isospectral modulated non-Hermitian photonic chain, is that it further includes a relation lookup table storing the J... x The correspondence between the highest point of the local density of states of each coil resonator in the photonic chain model and the excitation frequency of the excitation source;

[0029] When adjusting the excitation frequency of the excitation source, the corresponding excitation frequency is obtained through the relationship lookup table to control the excitation source to adjust the frequency.

[0030] A further improvement of the present invention, which implements a customizable wireless power transmission system using a non-Hermitian photonic chain with isospectral modulation, is that the number of loads in wireless power transmission is two or more, and the upper limit of the number of loads is N.

[0031] A further improvement of this invention, which utilizes a non-Hermitian photonic chain with isospectral modulation to realize a customizable wireless power transfer system, lies in the expression for the coupling strength between two adjacent coil resonators:

[0032]

[0033] In equation two, κ n κ0 represents the coupling strength between the nth coil resonator and the (n+1)th coil resonator, where n ranges from 1 to N-1, κ0 is the characteristic coupling strength, and N is the number of coil resonators.

[0034] According to Equation 2 above, by setting the characteristic coupling strength κ0, the coupling strength between any two adjacent coil resonators can be calculated, and the magnitudes of the calculated coupling strengths are parabolic.

[0035] The beneficial effects of the present invention, which utilizes a non-Hermitian photonic chain with isospectral modulation to realize a customizable wireless power transfer system and method, are as follows:

[0036] The wireless power transfer system and method of the present invention utilizes isospectral modulation of the interaction between coil resonators based on a parabolic coupling distribution, in a coil resonator array (i.e., J... x In a photonic chain model, equally spaced eigenfrequency was synthesized. By excitation with different frequencies, frequency-selective energy localization at predetermined locations was successfully achieved, making it suitable for multi-load applications.

[0037] The wireless power transmission system and method of the present invention are based on J with parabolic coupling. x The photon chain model breaks through the limitations of transmission distance and coil alignment dependence in traditional WPT, and realizes frequency-selective energy localization at customizable locations, greatly expanding the application scenarios of magnetic resonance WPT.

[0038] The wireless power transmission system and method of the present invention utilize J x The photon chain model provides a completely new implementation path for WPT customization, significantly expanding the application scenarios of WPT. Attached Figure Description

[0039] Figure 1 This is a schematic diagram and equivalent circuit diagram of wireless power transmission in the customizable wireless power transmission system and method for isospectral modulation non-Hermitian photonic chains of the present invention.

[0040] Figure 2In order to realize a customizable wireless power transfer system and method for isospectral modulated non-Hermitian photonic chains in this invention, J x Coupling strength, eigenvalues, and LDOS of the photonic chain model.

[0041] Figure 3 In order to realize a customizable wireless power transfer system and method for isospectral modulated non-Hermitian photonic chains in this invention, J x A schematic diagram illustrating the evolution of the photonic chain from Hermitian to non-Hermitian states.

[0042] Figure 4 J, consisting of eight coil resonators, is used to realize a customizable wireless power transfer system and method for the isospectral modulated non-Hermitian photonic chain of this invention. x The experimental setup diagram of the photon chain model and the fitting functions for coupling strength and distance.

[0043] Figure 5 In order to realize a customizable wireless power transfer system and method for isospectral modulated non-Hermitian photonic chains in this invention, J x The equidistant eigenvalues ​​of the photonic chain and the measured LDOS.

[0044] Figure 6 In order to realize a customizable wireless power transfer system and method for isospectral modulated non-Hermitian photonic chains in this invention, J x A schematic diagram of the transmission efficiency of the photonic chain at four points.

[0045] Figure 7 J, consisting of eight coil resonators, is used to realize a customizable wireless power transfer system and method for the isospectral modulated non-Hermitian photonic chain of this invention. x The experimental setup of the photon chain model displays the status distribution of LDOS and LED indicators at four excitation frequencies. Detailed Implementation

[0046] The present invention will be further described below with reference to the accompanying drawings and specific embodiments.

[0047] See Figure 1 This invention provides a customizable wireless power transfer system and method for realizing a non-Hermitian photonic chain with isospectral modulation, adapted to complex application scenarios with multiple loads. This invention utilizes J... x The photonic chain model realizes higher-order non-Hermitian WPT, which J x The photonic chain model exhibits a parabolic coupling strength distribution, overcoming the limitations of transmission distance and coil alignment dependence in traditional WPT. This invention achieves frequency-selective energy localization at customizable locations, significantly expanding the application scenarios of magnetic resonance WPT. The following description, in conjunction with the accompanying drawings, illustrates the customizable wireless power transfer system and method achieved by the isospectral modulated non-Hermitian photonic chain of this invention.

[0048] It should be noted that, unless otherwise specified, the embodiments and features described in this application can be combined with each other.

[0049] This invention provides a customizable wireless power transfer system for non-Hermitian photonic chains with isospectral modulation, which is described below.

[0050] The present invention enables a customizable wireless power transfer system using an isospectral modulated non-Hermitian photonic chain, comprising J x Photon chain model and excitation source, J x The photonic chain model consists of N coil resonators coupled sequentially, where N is a positive integer greater than or equal to 3; for example... Figure 1 As shown, the first to Nth coil resonators are sequentially coupled together to form J. x Photon chain model; excitation source and J x In the photonic chain model, a coil resonator at one end is coupled to provide electrical energy, and the frequency of this excitation source is adjustable. The coupling strength between two adjacent coil resonators is adjusted by changing the distance between them, so that J... x In the photonic chain model, the magnitudes of the coupling strengths exhibit a parabolic distribution (e.g., Figure 2 (as shown by the blue triangle in (a)d); In wireless power transmission, the load can be connected to J via a receiving coil. x A coil resonator in the photonic chain model is coupled together (in) Figure 1 The load is coupled to the Nth coil resonator through the receiving coil (in fact, the load can be coupled to any coil resonator) to achieve charging. Depending on the connection position of the load, the excitation frequency of the excitation source is adjusted so that the coil resonator coupled to the corresponding load exhibits the maximum energy density, thereby achieving high-efficiency power transmission.

[0051] Furthermore, the system also includes a control module for detecting the load's connection location and then adjusting the excitation frequency of the excitation source based on this location. This ensures that the coil resonator coupled to the corresponding load exhibits maximum energy density, thereby achieving high-efficiency power transfer. The load's connection location can be detected using a sensor to detect whether a load is near the corresponding coil resonator, or other existing detection methods.

[0052] In one specific embodiment of the present invention, the relationship between the distance between two adjacent coil resonators and the coupling strength between two adjacent coil resonators is as follows:

[0053] κ=79e -d / 2.29 +6.0 Formula 1;

[0054] In Equation 1, κ is the coupling strength between two adjacent coil resonators, and d is the distance between two adjacent coil resonators.

[0055] Based on Equation 1, the coupling strength between the two coil resonators can be precisely controlled by adjusting the distance between them, thereby allowing J to... x The coupling strength in the photonic chain model can exhibit a parabolic distribution.

[0056] Combination Figure 2 As shown, in J x In a photonic chain model, where the coupling strength can exhibit a parabolic distribution, calculate the eigenvalues ​​and eigenvectors of the wireless power transfer system. Figure 2 As shown by the brown dots in (a), the eigenvalues ​​of the system exhibit equal spacing. Figure 2 As shown in (b), the energy of the system's eigenvectors is mainly concentrated in different locations under different modes. Based on this characteristic, the present invention realizes the transmission of electrical energy to multiple loads in different frequency ranges.

[0057] In a preferred embodiment, the J can be set. x The number of coil resonators included in the photonic chain model is predetermined by the coupling strength, and then the distance is derived in reverse based on the coupling strength.

[0058] In one specific embodiment of the present invention, in wireless power transmission, the number of loads is two or more, and the upper limit of the number of loads is N.

[0059] The wireless power transfer system of this invention can charge multiple loads simultaneously. When there are N loads, the loads are connected to J via a receiving coil. x In the photonic chain model, the coil resonators are coupled one-to-one, and then the excitation source is controlled to operate at different excitation frequencies, so that the coil resonators coupled to each load can all exhibit the maximum energy density.

[0060] Furthermore, in wireless power transmission, a receiving coil is placed at the load, and the load is brought close to J. x In a photonic chain model, a coil resonator is used, and a receiving coil on it is coupled to the coil resonator to achieve wireless power transmission. The load can be a battery in a mobile device, robot, or electric vehicle.

[0061] In one specific embodiment of the present invention, the expression for the coupling strength between two adjacent coil resonators is:

[0062]

[0063] In equation two, κ nκ0 represents the coupling strength between the nth coil resonator and the (n+1)th coil resonator, where n ranges from 1 to N-1, κ0 is the characteristic coupling strength, and N is the number of coil resonators.

[0064] According to Equation 2 above, by setting the characteristic coupling strength κ0, the coupling strength between any two adjacent coil resonators can be calculated, and the magnitudes of the calculated coupling strengths are parabolic.

[0065] Furthermore, the characteristic coupling strength κ0 is a set value, and its specific value can be set based on experience. When setting the characteristic coupling strength κ0, it should be set as large as possible to ensure stable and efficient energy transfer. However, the characteristic coupling strength κ0 cannot be infinitely large, as it is limited by the actual distance between the coil resonators (i.e., the distance between the two coil resonators cannot be 0).

[0066] Furthermore, based on the set characteristic coupling strength κ0, the coupling strength of the coil resonator is calculated using Equation 2. Then, the distance between the two coil resonators is calculated using Equation 1. Following this distance, the coil resonators are arranged accordingly, thus achieving the desired coupling strength. x In the photonic chain model, the magnitudes of the coupling strengths exhibit a parabolic distribution.

[0067] In one specific embodiment of the present invention, a relation lookup table is also included, which stores J. x The correspondence between the highest point of the local density of states of each coil resonator in the photonic chain model and the excitation frequency of the excitation source;

[0068] When adjusting the excitation frequency of the excitation source, the corresponding excitation frequency is obtained through a lookup table to control the frequency adjustment of the excitation source. Specifically, the control module can obtain the corresponding excitation frequency through the lookup table to control the frequency adjustment of the excitation source.

[0069] Combination Figure 5 As shown, the energy positioning differs at different frequencies. The load is usually connected to the point with the highest LDOS to obtain the maximum output power. Therefore, a correspondence table between the highest LDOS point and the excitation frequency can be established in advance. Then, based on the connection position of the load, the excitation frequency can be found from the correspondence table, and the excitation source can be controlled to operate at that excitation frequency. In this way, the coil resonator at the load can exhibit the maximum energy density.

[0070] In one specific embodiment of the present invention, the excitation source can be an AG series amplifier to achieve excitation frequency adjustment. This AG series amplifier can be an amplifier manufactured by T&C Power Conversion.

[0071] Furthermore, the excitation source is connected to J via the source coil.x In the photonic chain model, a coil resonator is coupled at one end. Both the source coil and the receiving coil at the load are non-resonant coils. The frequency of the non-resonant coil is much different from the frequency of the coil resonator, so it has little effect on the original state distribution of the system.

[0072] J x In the photonic chain model, the coil resonator is composed of resonant coils and capacitors, with all resonant coils having the same resonant frequency. The equivalent circuit diagram of this coil resonator is shown below. Figure 1 As shown, it includes an inductor, capacitor, and resistor connected in series.

[0073] This invention also provides a method for customizable wireless power transfer using a non-Hermitian photonic chain with isospectral modulation, which is described below.

[0074] The wireless power transmission method of the present invention includes the following steps:

[0075] Provide N coil resonators, and connect the N coil resonators sequentially to form J x In the photonic chain model, where N is a positive integer greater than or equal to 3, the coupling strength between two coil resonators is controlled by adjusting the distance between them, allowing the J... x The magnitudes of the coupling strengths in the photonic chain model exhibit a parabolic distribution.

[0076] In wireless power transmission, the load is connected to J via a receiving coil. x In the photonic chain model, a coil resonator is coupled to allow the excitation source to be coupled to the J... x In the photonic chain model, a coil resonator is coupled at one end;

[0077] The excitation frequency of the excitation source is adjusted according to the load connection location so that the coil resonator coupled to the corresponding load exhibits maximum energy density.

[0078] In one specific embodiment of the present invention, based on the relationship between the distance between two coil resonators and the coupling strength, the coupling strength can be controlled by adjusting the distance, wherein the relationship between the distance between the two coil resonators and the coupling strength is as follows:

[0079] κ=79e -d / 2.29 +6.0 Formula 1;

[0080] In Equation 1, κ is the coupling strength between two adjacent coil resonators, and d is the distance between two adjacent coil resonators.

[0081] In another preferred embodiment, the coupling strength between the two coil resonators can be set first, the distance can be calculated based on the coupling strength, and then the two coil resonators can be set according to the distance.

[0082] In one specific embodiment of the present invention, it further includes:

[0083] Establish a relation lookup table, which stores the J... x The correspondence between the highest point of the local density of states of each coil resonator in the photonic chain model and the excitation frequency of the excitation source;

[0084] When adjusting the excitation frequency of the excitation source, the corresponding excitation frequency is obtained through the relationship lookup table to control the excitation source to adjust the frequency.

[0085] In one specific embodiment of the present invention, in wireless power transmission, the number of loads is two or more, and the upper limit of the number of loads is N.

[0086] In one specific embodiment of the present invention, it further includes:

[0087] Define a characteristic coupling strength κ0, and calculate the coupling strength between the two coil resonators using the following formula. The magnitudes of the calculated coupling strengths are parabolic.

[0088]

[0089] In equation two, κ n κ0 represents the coupling strength between the nth coil resonator and the (n+1)th coil resonator, where n ranges from 1 to N-1, κ0 is the characteristic coupling strength, and N is the number of coil resonators.

[0090] The principle of the present invention will be described below:

[0091] like Figure 1 As shown, the J of the present invention x The photon chain model consists of N coil resonators, and the function is defined. This represents the coupling strength between coil resonators n and n+1, where κ0 is the characteristic coupling strength and N is the number of coil resonators. For ease of calculation, this characteristic coupling strength is set to κ0 = 1 kHz. Figure 2 In (a), the blue triangles represent the magnitude of the coupling strength between adjacent resonators, and these coupling strengths are distributed in a parabolic pattern. Figure 2 Figure (a) shows the parabolic coupling strength and eigenvalues ​​in the chain of 20 coil resonators. The system loss rate γ was fixed at 2 kHz throughout the analysis of the actual WPT system. The system can be described using a tightly constrained Hamiltonian:

[0092]

[0093] Among them, c n This represents the annihilation operator of the nth coil resonator. Let represent the creation operator for the nth coil resonator, where the frequency of each coil resonator is ω0, γ represents the loss / gain at the point, corresponding to the non-Hermitian term, and hc represents the Hermitian conjugate term. The eigenvalues ​​and eigenvectors of the system can be derived from the Hamiltonian. Under this specific coupling distribution, the calculated eigenvalues ​​exhibit equal spacing, such as... Figure 2 The brown dots in (a) represent the system's eigenvectors. Figure 2 As shown in (b), Figure 2 (b) shows J x LDOS in photonic chains. In different modes, energy is concentrated primarily at different locations. This characteristic can be effectively utilized to achieve multiple loads across different frequency ranges.

[0094] WPT.

[0095] To better understand the equidistant eigenvalues ​​in the system, this invention further investigates a chain consisting of eight coil resonators. The eigenvalues ​​of the Hermitian system (γ = 0) vary with the parameter κ0 as follows: Figure 3 As shown in (a), Figure 3 (a) shows the energy spectrum of the Hermitian chain, where γ = 0 kHz. As κ0 increases, equidistant eigenvalues ​​can be obtained. Figure 3 (b) shows the real part of the complex energy spectrum at γ = 1 kHz. Figure 3 (c) shows the real part of the complex energy spectrum at γ = 2 kHz. Figure 3 Figure (d) shows the imaginary parts of the energy spectrum for γ = 1 kHz and γ = 2 kHz. The figure identifies diabolic points (DPs) with multiple degeneration at κ0 = 0 kHz. Considering the non-Hermitian system (γ ≠ 0), the actual characteristic frequencies related to the parameter κ0 are calculated, such as... Figure 3 As shown in (b) and (c), γ = 1 kHz and 2 kHz, respectively. A comparison of the corresponding virtual characteristic frequencies is shown below. Figure 3 (d) From Figure 3 In (b)-(d), the convergence point of the characteristic frequency can be found, which corresponds to the singular points (EPs) of the non-Hermitian system. Taking the practical case of γ = 2kHz as an example, when κ0 < 0.9kHz, the system exhibits eight eigenvalues, including a pair of degenerate eigenvalues ​​with non-zero imaginary components. As κ0 increases, the real parts of the eigenvalues ​​split, the imaginary parts disappear, and the system eventually achieves a state with eight pure real eigenvalues. According to the calculation results, a larger κ0 is required to ensure stable and efficient energy transfer.

[0096] The invention will now be verified through an experiment:

[0097] Based on circuit design, a J-based system was constructed. x The experimental setup diagram for the WPT system of the photon chain is shown below. Figure 4 As shown in (a), Figure 4 (a) shows J consisting of 8 coil resonators. x The experimental setup for the photon chain is illustrated in the inset, showing the spatial configuration of the probes. Each resonator consists of a coil wound with Litz wire on a 10 cm diameter acrylic skeleton and a 22 nF superimposed capacitor. This configuration produces an inductance of 8.9 μH, and the uniform resonant frequency of all resonators is 358 kHz. The reflection spectrum S is measured using a near-field probe coil connected to a vector network analyzer (VNA). 11 The analyzer functions as both a source and a detector. By placing the probe coil at the center of each coil resonator, it is possible to detect signals via 1-|S 11 | 2 The local density of states (LDOS) is extracted, and the density of states (DOS) spectrum is obtained by summing the LDOS of all coils and taking the average. To achieve J... x The required parabolic coupling distribution of the chain necessitates precise control of the coupling strength between adjacent coils. Here, the coupling strength between coils is exponentially related to the distance between them. By measuring the reflection spectra at different distances between two coil resonators, the function of coupling strength κ as a function of distance d can be determined as κ = 79e -d / 2.29 +6.0, such as Figure 4 As shown in (b), Figure 4 (b) shows the fitted function of the coupling strength and distance between the two coil resonators. The red dots represent experimental data, and the dashed lines correspond to the fitted curves. The red dots and dashed lines represent the experimental measurement results and the theoretical fitting results, respectively. The inset shows the reflection spectrum of the system when d = 4 cm, where the coupling strength is equivalent to half the difference between the center values ​​of the two resonance peaks.

[0098] Figure 5 (b) shows the experimentally measured DOS spectrum, where the peak value is related to... Figure 5 The eigenvalues ​​calculated theoretically correspond to those in (a). Figure 5 (a) shows J xThe equidistant eigenvalues ​​of the photon chain are shown, with the red dashed line corresponding to the zero-energy mode of the coil resonator; here, κ0 is set to 9.55 kHz. The red dashed line represents the zero level, which is also the resonant frequency of a single coil resonator. When the number of coil resonators is even, these levels are symmetrical with the zero level. The peaks above and below the dashed line represent positive and negative levels, respectively. The positive level corresponds to a high-frequency mode, which, in the experimental configuration, has a larger spectral weight (peak area) and reduced intensity due to increased intrinsic losses. Furthermore, the inventors also investigated non-Hermitian J... x Transmission properties of the chain. Figure 5 The diagram shows a comparison of the calculated transmittance between chains when the load is placed in different positions (i.e., positions 5-8). The dashed lines represent the operating frequencies at which each system achieves maximum output power.

[0099] Due to differences in energy distribution at different frequencies, the load is typically connected to the site with the highest LDOS to obtain maximum output power. Systems 1-4 correspond to configurations where the load is connected to sites 5, 6, 7, and 8, respectively. The transmission efficiency of each configuration at different frequencies was theoretically evaluated. Since all eigenvalues ​​are purely real values, high transmission efficiency is maintained across all eight eigenfrequency ranges. Based on the energy distribution curves at different frequencies, the optimal operating frequency was selected and is represented by a dashed line. The corresponding LDOS and experimental results are shown below. Figure 6 As shown.

[0100] Finally, the state distribution of the intrinsic modes was demonstrated experimentally. Due to the symmetrical state distribution between the positive and negative energy levels, four low-frequency intrinsic modes with relatively low intrinsic losses were selected, located at 270.5 kHz, 299.3 kHz, 321.8 kHz, and 343.5 kHz, respectively. Figure 7 (a)-(d) Figure 7 (a) shows the LDOS at f = 270.5 kHz. Figure 7 (b) shows the LDOS at f = 299.3 kHz. Figure 7 (c) shows the LDOS at f = 231.8 kHz. Figure 7Figure (d) shows the LDOS at f = 343.5 kHz. LED indicators are used to display the state distribution, with pink triangles marking the illuminated positions of the LEDs, thus identifying the spatial locations where the magnetic field strength reaches its maximum at a specified frequency. Blue bars and orange dots represent theoretical calculations and experimental results, respectively. A centrosymmetric state distribution was observed in all eigenmodes, with different spatial locations appearing in different modes. Notably, as the eigenfrequency increases, the location gradually transitions from the center to the periphery. Eight LED indicators are used to display the state distribution. Each coil resonator is connected to an LED via a non-resonant coil. Since the frequency of the non-resonant coil differs significantly from that of the coil resonator, it has little effect on the original state distribution of the system. This chain can be excited by a frequency-adjustable power supply (AG series amplifier, T&C Power Conversion). When the magnetic field of the coil resonator reaches a critical threshold, the LED at that specific location lights up, while the LEDs at other locations turn off. At an excitation frequency of 270.5 kHz, the fourth and fifth coil resonators exhibit the maximum energy density, thus illuminating the spatially correlated LEDs. Under excitation at three other frequencies, the lighting patterns of the LED closely approximate the theoretically predicted pattern distribution.

[0101] In summary, this invention experimentally constructs a method based on J x A WPT system with a lattice configuration was developed. Equally spaced eigenvalues ​​were observed by precisely controlling the coupling strength between coil resonators. Frequency-selective excitation enables customized energy localization at predetermined locations within the system. This characteristic provides a theoretical basis for simultaneous charging of multiple loads operating at different frequencies. This achievement is not only applicable to planar coil arrays but also has scalability to higher dimensions, demonstrating the breakthrough potential for realizing special lattice configurations and novel state distributions in WPT systems.

[0102] The present invention has been described in detail above with reference to the accompanying drawings and embodiments. Those skilled in the art can make various modifications to the present invention based on the above description. Therefore, certain details in the embodiments should not be construed as limiting the present invention, and the scope of protection of the present invention shall be defined by the appended claims.

Claims

1. A method for realizing customizable wireless power transfer using a non-Hermitian photonic chain with isospectral modulation, characterized in that, Includes the following steps: Provide N coil resonators, and connect the N coil resonators sequentially to form J x In the photonic chain model, where N is a positive integer greater than or equal to 3, the coupling strength between two coil resonators is controlled by adjusting the distance between them, allowing the J... x The magnitudes of the coupling strengths in the photonic chain model exhibit a parabolic distribution. In wireless power transmission, the load is connected to J via a receiving coil. x In the photonic chain model, a coil resonator is coupled to allow the excitation source to be coupled to the J... x In the photonic chain model, a coil resonator is coupled at one end; The excitation frequency of the excitation source is adjusted according to the load connection location so that the coil resonator coupled to the corresponding load exhibits maximum energy density.

2. The method for realizing customizable wireless power transfer using a non-Hermitian photonic chain with isospectral modulation as described in claim 1, characterized in that, Based on the relationship between the distance between two coil resonators and the coupling strength, the coupling strength can be controlled by adjusting the distance. The relationship between the distance between the two coil resonators and the coupling strength is as follows: κ=79e -d / 2.29 +6.0 Formula 1; In Equation 1, κ is the coupling strength between two adjacent coil resonators, and d is the distance between two adjacent coil resonators.

3. The method for realizing customizable wireless power transfer using a non-Hermitian photonic chain with isospectral modulation as described in claim 1, characterized in that, Also includes: Establish a relation lookup table, which stores the J... x The correspondence between the highest point of the local density of states of each coil resonator in the photonic chain model and the excitation frequency of the excitation source; When adjusting the excitation frequency of the excitation source, the corresponding excitation frequency is obtained through the relationship lookup table to control the excitation source to adjust the frequency.

4. The method for realizing customizable wireless power transfer using a non-Hermitian photonic chain with isospectral modulation as described in claim 1, characterized in that, In wireless power transmission, the number of loads is two or more, and the maximum number of loads is N.

5. The method for realizing customizable wireless power transfer using a non-Hermitian photonic chain with isospectral modulation as described in claim 1, characterized in that, Also includes: Define a characteristic coupling strength κ0, and calculate the coupling strength between the two coil resonators using the following formula. The magnitudes of the calculated coupling strengths are parabolic. In equation two, κ n κ0 represents the coupling strength between the nth coil resonator and the (n+1)th coil resonator, where n ranges from 1 to N-1, κ0 is the characteristic coupling strength, and N is the number of coil resonators.

6. A customizable wireless power transfer system realized by a non-Hermitian photonic chain with isospectral modulation, characterized in that, include: J x The photonic chain model consists of N coil resonators that are coupled together in sequence, where N is a positive integer greater than or equal to 3; With the J x In the photonic chain model, a frequency-tunable excitation source is coupled to a coil resonator located at one end; Specifically, the coupling strength between two adjacent coil resonators is adjusted by changing the distance between them, so that the J... x The magnitudes of the coupling strengths in the photonic chain model exhibit a parabolic distribution. In wireless power transmission, the load can be connected to the J via a receiving coil. x In the photonic chain model, a coil resonator is coupled together. Depending on the location of the load, the excitation frequency of the excitation source is adjusted so that the coil resonator coupled to the corresponding load exhibits the maximum energy density.

7. The isospectral modulated non-Hermitian photonic chain as described in claim 6 realizes a customizable wireless power transfer system, characterized in that, The relationship between the distance between two adjacent coil resonators and the coupling strength between them is as follows: κ=79e -d / 2.29 +6.0 Formula 1; In Equation 1, κ is the coupling strength between two adjacent coil resonators, and d is the distance between two adjacent coil resonators.

8. The isospectral modulated non-Hermitian photonic chain as described in claim 6, realizing a customizable wireless power transfer system, characterized in that, It also includes a relation lookup table, which stores the J... x The correspondence between the highest point of the local density of states of each coil resonator in the photonic chain model and the excitation frequency of the excitation source; When adjusting the excitation frequency of the excitation source, the corresponding excitation frequency is obtained through the relationship lookup table to control the excitation source to adjust the frequency.

9. The isospectral modulated non-Hermitian photonic chain as described in claim 6, realizing a customizable wireless power transfer system, characterized in that, In wireless power transmission, the number of loads is two or more, and the maximum number of loads is N.

10. The isospectral modulated non-Hermitian photonic chain as described in claim 6 realizes a customizable wireless power transfer system, characterized in that, The expression for the coupling strength between two adjacent coil resonators is: In equation two, κ n κ0 represents the coupling strength between the nth coil resonator and the (n+1)th coil resonator, where n ranges from 1 to N-1, κ0 is the characteristic coupling strength, and N is the number of coil resonators. According to Equation 2 above, by setting the characteristic coupling strength κ0, the coupling strength between any two adjacent coil resonators can be calculated, and the magnitudes of the calculated coupling strengths are parabolic.

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