CN-122001317-A - Tunable topological circuit resonator based on dark solitons in nonlinear SSH lattice

CN122001317ACN 122001317 ACN122001317 ACN 122001317ACN-122001317-A

Abstract

The invention discloses a tunable topological circuit resonator based on a dark soliton in a nonlinear SSH lattice. The resonator comprises a first port, a second port and N circuit cells which are sequentially connected in series, wherein N is a positive integer larger than 1, each circuit cell is provided with two coupling nodes, the two coupling nodes of N-1 non-isolated circuit cells are connected with the first port, the two coupling nodes of 1 isolated circuit cell are not connected with the first port, the two coupling nodes of each circuit cell are connected with the second port through nonlinear resonance units, and the two coupling nodes of the same circuit cell and the two adjacent coupling nodes of adjacent circuit cells are connected through coupling capacitors or coupling inductors. The tunable topological circuit resonator based on the dark solitons expands the working frequency range and provides a new solution for a high-performance reconfigurable microwave and radio frequency circuit system.

Inventors

LI RUJIANG
IMRAN MUHAMMAD
WANG WENCAI
LIU YING
JIA YONGTAO

Assignees

西安电子科技大学

Dates

Publication Date: 20260508
Application Date: 20260410

Claims (10)

1. The tunable topological circuit resonator based on the dark solitons in the nonlinear SSH lattice is characterized by comprising a first port, a second port and N circuit cells which are sequentially connected in series, wherein N is a positive integer greater than 1; The circuit unit cell is provided with two coupling nodes, wherein the two coupling nodes of the non-isolated circuit unit cell are connected with the first port, and the two coupling nodes of the isolated circuit unit cell are not connected with the first port; the circuit unit cell also comprises a coupling unit, wherein the coupling unit is respectively connected between two coupling nodes in the same circuit unit cell and between two adjacent coupling nodes of two adjacent circuit unit cells through the coupling unit; The tunable topology circuit resonator is configured to generate a voltage distribution corresponding to a dark soliton on the coupling nodes under excitation of an external signal such that a voltage recess is formed at two of the coupling nodes of the isolated circuit unit cell.
2. The tunable topology circuit resonator based on dark solitons in a nonlinear SSH lattice of claim 1, wherein the two coupling nodes of the circuit cell comprise a first coupling node and a second coupling node; the nonlinear resonance unit of the circuit unit cell comprises a first nonlinear resonance unit and a second nonlinear resonance unit, and the coupling unit of the circuit unit cell comprises a first coupling capacitor and a second coupling capacitor; in the circuit unit cell, a first end of the first coupling capacitor and a first end of the first nonlinear resonance unit are connected with the first coupling node, and a second end of the first nonlinear resonance unit is connected with the second port; the second end of the first coupling capacitor, the first end of the second coupling capacitor and the first end of the second nonlinear resonance unit are all connected with the second coupling node, and the second end of the second nonlinear resonance unit is connected with the second port; In two adjacent circuit cells, the second end of the second coupling capacitor of the ith circuit cell is connected with the first coupling node of the (i+1) th circuit cell, wherein i < N is more than or equal to 1; The first coupling node of the first circuit unit cell is connected with the second port through a third coupling capacitor, and the second end of the second coupling capacitor of the Nth circuit unit cell is connected with the second port.
3. The tunable topology circuit resonator of claim 2, wherein said first nonlinear resonant cell comprises a first inductance, a first capacitance, and at least one first common-cathode varactor, wherein a first end of said first inductance, a first end of said first capacitance, and a first end of each of said first common-cathode varactors are each connected to said first coupling node, wherein a second end of said first inductance, a second end of said first capacitance, and a second end of each of said first common-cathode varactors are each connected to said second port; The second nonlinear resonance unit comprises a second inductor, a second capacitor and at least one second common-cathode varactor, wherein the first end of the second inductor, the first end of the second capacitor and the first end of each second common-cathode varactor are all connected with the second coupling node, and the second end of the second inductor, the second end of the second capacitor and the second end of each second common-cathode varactor are all connected with the second port.
4. The tunable topology circuit resonator of claim 3, wherein said first inductance is the same as said second inductance and said first capacitance is the same as said second capacitance; The first common-cathode varactor is the same as the second common-cathode varactor, and the number of common-cathode varactors in the first nonlinear resonant unit and the second nonlinear resonant unit is the same.
5. The tunable topology circuit resonator based on a dark soliton in a nonlinear SSH lattice of claim 4, wherein said dark soliton is a dark body soliton, said first coupling capacitance in any one of said circuit cells being less than said second coupling capacitance.
6. The tunable topology circuit resonator of claim 5 based on a dark soliton in a nonlinear SSH lattice, it is characterized in that the method comprises the steps of, from one end to the other end in the serial direction of the circuit cells, the circuit cells are numbered N, n=1. N is an even number, the isolated circuit unit cells are numbered Or alternatively ; N is an odd number, the number of the isolated circuit unit cells is +0.5。
7. The tunable topology circuit resonator of claim 4, wherein said dark solitons are dark edge solitons, said first coupling capacitance in any one of said circuit cells being greater than said second coupling capacitance.
8. The tunable topology circuit resonator of claim 7, wherein the tunable topology circuit resonator based on a dark soliton in a nonlinear SSH lattice, from one end to the other end in the serial direction of the circuit cells, the circuit cells are numbered N, n=1. The isolated circuit unit cell is numbered 1 or N.
9. The tunable topology circuit resonator based on dark solitons in nonlinear SSH lattice according to any of claims 2-7, characterized in that the complementary powers of the dark solitons The calculation formula is as follows: Wherein, the For the maximum value of the absolute value of the voltage in each coupling node, Is the voltage value at the first coupling node of the nth circuit cell, And n is a positive integer of 1-N, which is the voltage value at the second coupling node of the nth circuit cell.
10. The tunable topology circuit resonator based on dark solitons in a nonlinear SSH lattice of claim 9, wherein the number of circuit cells is not less than 12.

Description

Tunable topological circuit resonator based on dark solitons in nonlinear SSH lattice Technical Field The invention belongs to the technical field of resonant circuits, and particularly relates to a tunable topological circuit resonator based on dark solitons in nonlinear SSH lattices. Background The conventional circuit resonator has poor robustness, and the resonant frequency is extremely sensitive to material defects and component parameter fluctuation, so that the performance is unstable, and therefore, the conventional circuit resonator has a plurality of limitations in practical application. In response to this problem, studies have been conducted to make preliminary studies by virtue of the unique properties of the topology insulator, and topology circuit resonators have been proposed. A topological insulator is a special material that is internally insulating, while the surface is present with a topologically protected surface state. It shows remarkable anti-interference ability to defects and impurities inside the material, just because of the existence of the topology protection characteristic. Researchers introduced the concept of topological insulators into the electronics field and proposed topological circuits that analogized the properties of topological insulators. In the topological circuit, the electric signal is transmitted in a topological state, and the transmission mode can obviously inhibit the interference of circuit element errors and structural defects on signal transmission, so that the stability and the comprehensive performance of the circuit structure are effectively improved, and the problem of insufficient robustness of the traditional circuit resonator is effectively solved. On the basis, researchers further introduce nonlinear effects into the topological insulator, the tunability of the topological circuit resonator is realized by utilizing nonlinear topological states in the nonlinear topological insulator, the limitation that the original topological circuit resonator is not tunable is broken through, and new ideas and directions are provided for the development of the topological circuit resonator. It should be noted that if nonlinear effects are introduced into the linear system, a series of physical phenomena such as nonlinear topology and solitons with important research significance can be further explored. Solitons, also known as solitary waves, are a class of pulses or wave packets with special properties. In the propagation process, solitons can keep the shape, amplitude and speed constant, and the stability of the particles is shown, so that the solitons have extremely high theoretical research value and application potential in the field of nonlinear topological insulators. Under the traditional soliton theory framework, the solitons are mainly divided into two types of bright solitons and dark solitons. At present, research in the field of nonlinear topological insulators focuses on bright solitons, and dark solitons are another important solitons, and are characterized by exhibiting intensity depressions in a continuous wave background. In the field of topological physical research, SSH (Su-Schrieffer-Heeger) lattice is taken as one of the basic topological models, and has extremely important value. However, no systematic study has been conducted at present regarding the existence of dark solitons in one-dimensional nonlinear SSH lattices and their characteristics. It is noted that previous studies on one-dimensional nonlinear SSH lattices focused mainly on nonlinear edge states and bright body solitons within the topological band gap. However, when the frequencies corresponding to the nonlinear edge states and the bright solitons enter the linear energy band, the mode distribution of the nonlinear edge states and the bright solitons loses locality, so that the nonlinear topological insulator cannot continue to function as the tunable topological circuit resonator, and the working frequency range of the tunable topological circuit resonator is severely limited. It should be noted that the information disclosed in the above background section is only for enhancing understanding of the background of the invention and thus may include information that does not form the prior art that is already known to those of ordinary skill in the art. Disclosure of Invention In order to solve the problems in the prior art, the invention provides a tunable topological circuit resonator based on dark solitons in nonlinear SSH lattices. The technical problems to be solved by the invention are realized by the following technical scheme: The invention provides a tunable topological circuit resonator based on a dark soliton in a nonlinear SSH lattice, which comprises a first port, a second port and N circuit cells which are sequentially connected in series, wherein N is a positive integer greater than 1, and the N circuit cells comprise (N-1) non-isolated circuit cells and 1 isola