CN114171871B - Non-contact adjustable negative group time delay circuit based on dielectric resonator and construction method - Google Patents
Non-contact adjustable negative group time delay circuit based on dielectric resonator and construction method Download PDFInfo
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- H01—ELECTRIC ELEMENTS
- H01P—WAVEGUIDES; RESONATORS, LINES, OR OTHER DEVICES OF THE WAVEGUIDE TYPE
- H01P5/00—Coupling devices of the waveguide type
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- H—ELECTRICITY
- H01—ELECTRIC ELEMENTS
- H01P—WAVEGUIDES; RESONATORS, LINES, OR OTHER DEVICES OF THE WAVEGUIDE TYPE
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- H—ELECTRICITY
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- H01P—WAVEGUIDES; RESONATORS, LINES, OR OTHER DEVICES OF THE WAVEGUIDE TYPE
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Abstract
The invention discloses a non-contact adjustable negative group time delay circuit based on a dielectric resonator and a construction method thereof, and particularly relates to the technical field of microwave engineering. The technical scheme of the invention has the advantages of better coupling effect, larger negative group delay value and wider adjustable range, and can realize the multi-frequency negative group delay circuit through cascade connection.
Description
Technical Field
The invention relates to the technical field of microwave engineering, in particular to a non-contact adjustable negative group time delay circuit based on a dielectric resonator and a construction method thereof.
Background
In modern communication systems, group delay effects caused by complex circuit interconnect structures are one of the important causes of signal distortion. To avoid signal distortion caused by group delay, a negative group delay circuit is often employed as an equalizer to compensate for group delay variations. The negative group delay refers to the abnormal electromagnetic propagation phenomenon that the group delay is negative, namely the output signal is earlier than the input signal. The parameter of the group delay refers to the negative derivative of the phase with respect to the angular frequency, and the phase of the negative group delay characteristic has a positive change rate with the frequency, and the parameter reflects the dispersion condition of the signal phase in the circuit. Einstein's relativity states that there is nothing in the vacuum environment to exceed the speed of light, negative group delay and speed of light propagation appear to be contrary to conventional wisdom, but Garrett and Mccummbe theoretically demonstrate that: the negative group velocity of waves when anomalous dispersion is present in the medium is present and follows the causal law, which is verified under relatively severe conditions.
In recent years, the negative group delay phenomenon has been implemented in electronic circuits and widely used in various communication systems. Various structures have been adopted abroad to implement a negative group delay circuit or filter, such as a defective microstrip structure, a defective ground structure, a 3-dB hybrid coupler, a transmission line, etc., however, the structures in these researches can only implement fixed center frequency and negative group delay, and therefore, the negative group delay circuit with configurable center frequency and group delay values in the research and design has important practical significance for improving the performance of a microwave system. At present, most tunable negative group delay circuits adopt contact methods of loading variable resistors, variable capacitance diodes, pin diodes and the like to realize an adjustable function, and research and design for realizing a non-contact adjustable negative group delay circuit based on a space coupling angle are lacked.
Disclosure of Invention
The invention aims to provide a non-contact adjustable negative group delay circuit based on a dielectric resonator and a construction method thereof, so as to solve the problems in the prior art.
In order to achieve the purpose, the invention provides the following technical scheme:
a non-contact adjustable negative group time delay circuit based on a dielectric resonator comprises the dielectric resonator, a dielectric substrate, a dielectric cover plate and at least one supporting column, wherein the dielectric substrate and the dielectric cover plate are connected in a parallel posture through the supporting columns, and the upper end and the lower end of each supporting column are perpendicular to the dielectric substrate and the dielectric cover plate respectively;
the surface of the dielectric substrate, which faces the dielectric cover plate, is an upper surface, the bottom of the dielectric substrate is grounded, an annular microstrip line, a first microstrip line and a second microstrip line are distributed on the upper surface of the dielectric substrate, any end of the annular microstrip line is connected with one end of the first microstrip line, the other end of the first microstrip line is connected with any position of the second microstrip line, two ends of the second microstrip line are respectively connected with an input port and an output port, and the input port and the output port respectively form an input end and an output end of the non-contact adjustable negative group delay circuit;
the dielectric resonator is arranged in a region surrounded by the upper surface of the dielectric substrate corresponding to the annular microstrip line, a through hole is formed in the bottom of the dielectric resonator, a thread matched with the first tuning screw is arranged in the through hole, the top of the first tuning screw is connected with the bottom of the dielectric resonator, and the first tuning screw is perpendicular to the dielectric substrate;
a metal tuning disc is distributed on one surface of the medium cover plate facing the medium substrate, a through hole is formed in the top of the metal tuning disc, threads matched with a second tuning screw are arranged in the through hole, the top of the second tuning screw is connected with the top of the metal tuning disc, and the second tuning screw is perpendicular to the medium cover plate;
the metal tuning disc and the dielectric resonator are overlapped in the projection direction, and the dielectric resonator and the metal tuning disc realize the distance adjustment on the longitudinal surfaces of the dielectric resonator and the metal tuning disc through the rotation of the first tuning screw and the second tuning screw respectively.
Further, a metal tuning disk is located directly above the dielectric resonator.
Further, the inner diameter of the annular microstrip line is larger than the outer diameter of the dielectric resonator.
Further, the dielectric resonator is equivalent to an RLC circuit formed by connecting an equivalent inductor L, an equivalent resistor R and an equivalent capacitor C in parallel, the dielectric resonator is coupled with the annular microstrip line, and the dielectric resonator is according to the following formula:
obtaining a coupling coefficient g of the dielectric resonator and the annular microstrip line, wherein Q is the quality factor of the dielectric resonator itself e Is the quality factor, R, of the dielectric resonator after coupling with the annular microstrip line L Resistance of equivalent inductance, ω 0 Is the resonance frequency of the dielectric resonator and,
n is the number of turns of the equivalent inductor, Z 0 The load impedance is at two ends of the annular microstrip line;
according to the following formula:
obtaining the equivalent series impedance Z of the dielectric resonator after the dielectric resonator is coupled with the annular microstrip line DR J is an imaginary part unit, and omega is the resonant frequency of the coupling circuit after the dielectric resonator is coupled with the annular microstrip line.
Further, the scattering parameter [ S ] of the coupling circuit is expressed as:
wherein, the annular microstrip line (3) is divided into two parts by any one point between the two ends of the annular microstrip line (3) | 1 、l 2 Are each two part length, wherein 1 Is the length between one end of the annular microstrip line (3) connected with the first microstrip line (4) and the arbitrary point 2 Is the length beta between the arbitrary point and the other end of the annular microstrip line (3) 1 、β 2 Are each l 1 、l 2 A corresponding phase shift constant;
scattering parameter [ S ] based on coupling circuit]Obtaining input return loss of the coupling circuit
Output return loss
According to the equivalent series impedance Z of the dielectric resonator DR And the output return loss S of the coupling circuit 21 According to the following formula:
obtaining insertion loss S of equivalent RLC circuit 21 Wherein i is an imaginary part unit, and theta is a fitting length corresponding to the annular microstrip line;
and further obtaining the phase of the insertion loss of the equivalent RLC circuit according to the formula:
wherein the content of the first and second substances,
further, based on the group delay function τ (ω) of the equivalent RLC circuit, when ω is ω ═ ω 0 When the temperature of the water is higher than the set temperature,
when ω tends towards 0, the group delay function of the equivalent RLC circuit is according to the following equation:
according to the formula, the adjustable negative group delay circuit adjusts the group delay value of the coupling circuit by adjusting the coupling coefficient g of the dielectric resonator and the annular microstrip line and the quality factor Q of the dielectric resonator, and changes the coupling coefficient g by changing the distance between the dielectric resonator and the annular microstrip line, namely, the coupling coefficient g of the circuit is changed by adjusting the first tuning screw;
the distance between the dielectric resonator and the metal tuning disc is changed by adjusting the second tuning screw, the coupling coefficient g of the circuit is changed, and the quality factor Q of the dielectric resonator is further changed e I.e. the coupling coefficient g of the circuit is changed by adjusting the second tuning screw.
The invention provides a non-contact adjustable negative group delay circuit construction method based on a dielectric resonator, which comprises the following steps:
step S1, obtaining the coupling coefficient g of the dielectric resonator and the annular microstrip line, and further obtaining the equivalent series impedance Z of the dielectric resonator after the dielectric resonator is coupled with the annular microstrip line DR ；
Step S2, scattering parameter [ S ] based on coupling circuit]Obtaining the input return loss S of the coupling circuit 11 And insertion loss S 21 ；
Step S3, insertion loss S according to equivalent RLC circuit 21 Obtaining the phase of insertion loss, and obtaining a group delay function tau (omega) of an equivalent RLC circuit based on the definition of the phase and the group delay;
and step S4, determining each parameter value in the non-contact adjustable negative group delay circuit by using the group delay function tau (omega), and obtaining the corresponding non-contact adjustable negative group delay circuit according to the parameter values.
Compared with the prior art, the non-contact adjustable negative group time delay circuit based on the dielectric resonator and the construction method thereof have the following technical effects:
1. the medium resonator is coupled by adopting the annular coupling microstrip line, compared with common straight microstrip line coupling, the coupling strength is higher, the coupling effect is better, the coupling effect determines the size of a circuit group delay value, so that a larger group delay value can be obtained, the negative group delay value of the negative group delay circuit provided by the patent can reach-4.6 ns to the maximum extent, and the performance is better;
2. the negative group delay circuit not only adopts a common method for controlling the height of the dielectric resonator and the substrate to control the coupling, but also innovatively adopts a space coupling method, a tunable metal ring is arranged above the dielectric resonator to adjust the loading Q value of the dielectric resonator, and the result shows that the influence of the space coupling adjusting mode on the size of the group delay value is slightly small, the method for controlling the height of the dielectric resonator is suitable for rough adjustment, and the space coupling adjusting mode is suitable for fine adjustment, so that the negative group delay circuit provided by the patent can be better applied to various communication systems.
3. According to the method, because the annular microstrip line is adopted, one dielectric resonator is independently coupled to one annular microstrip line, the influence is less, and the loaded Q value is higher. This patent also can adopt a plurality of dielectric resonator coupling to a plurality of annular microstrip lines, and annular microstrip line reloads the form on the microstrip line, realizes multifrequency negative group delay circuit, perhaps adopts a plurality of circuits that this patent proposed, obtains different frequencies through adjusting the coupling, also can realize multifrequency negative group delay circuit after the cascade.
To sum up, the circuit that this patent provided possess the coupling effect better, and negative group delay value is bigger, and adjustable range is wider advantage, also can realize multifrequency negative group delay circuit through cascading.
Drawings
FIG. 1 is a three-dimensional block diagram of a non-contact adjustable negative group delay circuit in accordance with an exemplary embodiment of the present invention;
fig. 2(a) is a schematic diagram of a circuit structure of a dielectric resonator coupled with a microstrip line according to an exemplary embodiment of the present invention;
fig. 2(b) is an equivalent circuit diagram of a dielectric resonator coupled with a microstrip line according to an exemplary embodiment of the present invention;
FIG. 3 is a side view of a contactless adjustable negative group delay circuit in accordance with an exemplary embodiment of the present invention;
FIG. 4 is a top view of a contactless tunable negative group delay circuit in accordance with an exemplary embodiment of the present invention;
FIG. 5(a) is a schematic diagram of the group delay result of the present invention adjusting the performance of the negative group delay circuit by adjusting the first tuning screw;
FIG. 5(b) is a diagram illustrating the return loss result of the present invention by adjusting the first tuning screw to adjust the performance of the negative group delay circuit;
FIG. 5(c) is a schematic diagram showing the insertion loss result of the present invention adjusting the performance of the negative group delay circuit by adjusting the first tuning screw;
FIG. 6(a) is a schematic diagram of the group delay result of the present invention adjusting the performance of the negative group delay circuit by adjusting the second tuning screw;
FIG. 6(b) is a schematic diagram showing the return loss result of the present invention adjusting the performance of the negative group delay circuit by adjusting the second tuning screw;
fig. 6(c) is a schematic diagram illustrating insertion loss results of adjusting the negative group delay circuit performance by adjusting the second tuning screw according to the present invention.
Detailed Description
In order to better understand the technical content of the present invention, specific embodiments are described below with reference to the accompanying drawings.
Aspects of the invention are described herein with reference to the accompanying drawings, in which a number of illustrative embodiments are shown. Embodiments of the invention are not limited to those shown in the drawings. It is to be understood that the invention is capable of implementation in any of the numerous concepts and embodiments described hereinabove or described in the following detailed description, since the disclosed concepts and embodiments are not limited to any embodiment. In addition, some aspects of the present disclosure may be used alone, or in any suitable combination with other aspects of the present disclosure.
With reference to fig. 1, a three-dimensional structure diagram of a non-contact adjustable negative group delay circuit according to an exemplary embodiment of the present invention is a non-contact adjustable negative group delay circuit based on a dielectric resonator, and the non-contact adjustable negative group delay circuit includes a dielectric resonator 1, a dielectric substrate 6, a dielectric cover plate 8, and at least one supporting pillar 7, wherein the dielectric substrate 6 and the dielectric cover plate 8 are connected in parallel via each supporting pillar 7, and upper and lower ends of each supporting pillar 7 are perpendicular to the dielectric substrate 6 and the dielectric cover plate 8, respectively;
the surface of the dielectric substrate 6 facing the dielectric cover plate 8 is an upper surface, the bottom of the dielectric substrate 6 is grounded, an annular microstrip line 3, a first microstrip line 4 and a second microstrip line 5 are distributed on the upper surface of the dielectric substrate 6, any end of the annular microstrip line 3 is connected with one end of the first microstrip line 4, the other end of the first microstrip line 4 is connected with any position of the second microstrip line 5, two ends of the second microstrip line 5 are respectively connected with an input port 51 and an output port 52, and the input port 51 and the output port 52 respectively form an input end and an output end of the non-contact adjustable negative group delay circuit;
the dielectric resonator 1 is arranged in an area surrounded by the upper surface of the dielectric substrate 6 corresponding to the annular microstrip line 3, the bottom of the dielectric resonator 1 is provided with a through hole, a thread matched with the first tuning screw 2 is arranged in the through hole, the top of the first tuning screw 2 is connected with the bottom of the dielectric resonator 1, and the first tuning screw 2 is vertical to the dielectric substrate 6;
a metal tuning disc 9 is distributed on one surface, facing the medium substrate 6, of the medium cover plate 8, a through hole is formed in the top of the metal tuning disc 9, threads matched with a second tuning screw 10 are arranged in the through hole, the top of the second tuning screw 10 is connected with the top of the metal tuning disc 9, and the second tuning screw 10 is perpendicular to the medium cover plate 8;
the metal tuning disk 9 is overlapped with the dielectric resonator 1 in the projection direction, and the dielectric resonator 1 and the metal tuning disk 9 respectively realize the distance adjustment of the dielectric resonator 1 and the metal tuning disk 9 on the longitudinal plane through the rotation of the first tuning screw 2 and the second tuning screw 10.
Preferably, the metal tuning disk 9 is located directly above the dielectric resonator 1.
Preferably, the inner diameter of the annular microstrip line 3 is larger than the outer diameter of the dielectric resonator 1.
Examples
As shown in fig. 2(a), when the dielectric resonator is placed near the microstrip line, it will couple with the fringe magnetic field of the microstrip line, and the line lengths of the microstrip line on both sides of the dielectric resonator are set as θ 1 And theta 2 The distance between the central point of the dielectric resonator and the microstrip line is d, namely the coupling distance d. One end of the microstrip line is connected with an input voltage source and a 50 omega load, the other end of the input voltage source is grounded, and the other end of the microstrip line is connected withAnd the other end of the output load is grounded. The circuit in fig. 2(a) may be equivalent to the RLC circuit shown in fig. 2(b), the dielectric resonator may be equivalent to a series load on the microstrip line when coupled, the dielectric resonator may be equivalent to a parallel circuit composed of an equivalent inductor L, an equivalent resistor R, and an equivalent capacitor C, and the model of the coupling with the microstrip line is the number-of-turns ratio N of the transformer.
Obtaining a coupling coefficient g of the dielectric resonator 1 coupled with the annular microstrip line 3 according to the following formula:
wherein Q is the quality factor of the dielectric resonator, representing a quality index of an energy storage device, such as an inductance coil, a capacitor and the like, the ratio of the energy stored in the resonant circuit to the energy lost per week, the larger the Q value of the element is, the better the selectivity of a circuit or a network formed by the element is, and the Q value is e Is the quality factor, R, of the dielectric resonator 1 after coupling with the annular microstrip line L Resistance of equivalent inductance, ω 0 Being the resonance frequency of the dielectric resonator 1,
n is the number of turns of the equivalent inductor, Z 0 The load impedance is at two ends of the annular microstrip line;
after the dielectric resonator 1 is coupled with the annular microstrip line 3, the equivalent series impedance Z of the dielectric resonator 1 is obtained DR According to the following formula:
wherein j is an imaginary part unit, and ω is the resonant frequency of the coupling circuit after the dielectric resonator 1 and the annular microstrip line 3 are coupled.
For the equivalent circuit in fig. 2(b), the S parameter can be written as:
the S parameter matrix does not consider microstrip lines theta on two sides 1 And theta 2 Influence on S parameter when microstrip lines theta on two sides are added 1 And theta 2 Then, the scattering parameter [ S ] of the coupling circuit can be obtained]：
Wherein, the annular microstrip line (3) is divided into two parts by any one point between the two ends of the annular microstrip line (3) | 1 、l 2 Are each two part length, wherein 1 Is the length between one end of the annular microstrip line (3) connected with the first microstrip line (4) and the arbitrary point 2 Is the length between the arbitrary point and the other end of the annular microstrip line (3), beta 1 、β 2 Are each l 1 、l 2 A corresponding phase shift constant;
scattering parameter [ S ] based on coupling circuit]Obtaining input return loss of the coupling circuit
Insertion loss
According to the equivalent series impedance Z of the dielectric resonator 1 DR And the output return loss S of the coupling circuit 21 Obtaining the insertion loss S of the equivalent RLC circuit 21 According to the following formula:
wherein i is an imaginary part unit, and θ is a fitting length corresponding to the annular microstrip line 3;
further obtaining the phase of the insertion loss of the equivalent RLC circuit and obtaining the phase of the insertion loss of the equivalent RLC circuit
According to the formula:
based on
And defining group delay, and obtaining a group delay function tau (omega) of an equivalent RLC circuit as follows:
wherein the content of the first and second substances,
based on the group delay function tau (omega) of the equivalent RLC circuit, when omega is omega 0 When the temperature of the water is higher than the set temperature,
when ω tends to 0, the group delay function of the equivalent RLC circuit is according to the following equation:
according to the formula, the adjustable negative group delay circuit adjusts the group delay value of the coupling circuit by adjusting the coupling coefficient g of the dielectric resonator 1 and the annular microstrip line 3 and the quality factor Q of the dielectric resonator 1, and changes the coupling coefficient g by changing the distance between the dielectric resonator 1 and the annular microstrip line 3, namely, the coupling coefficient g of the circuit is changed by adjusting the first tuning screw 2;
the distance between the dielectric resonator 1 and the metal tuning disc 9 is changed by adjusting the second tuning screw 10, the size of the coupling coefficient g of the circuit is changed, and the quality factor Q of the dielectric resonator 1 is further changed e I.e. the coupling coefficient g of the circuit is changed by adjusting the second tuning screw 10.
The size of the group delay value and the frequency point of the central frequency of the negative group delay circuit can be adjusted by adjusting the two tuning screws so as to obtain different performances.
Fig. 3 and 4 are dimension diagrams of a specific example of a non-contact tunable negative group delay circuit based on a dielectric resonator, the dielectric substrate material used is FR4, the dielectric constant is 4.4, the loss tangent is 0.02, the dielectric resonator used is cylindrical, the dielectric constant is 38.1, and the actual dimensions and the letters of the various parts indicate the following meanings:
fig. 5-6 are graphs showing the result of adjusting the performance of the negative group delay circuit by adjusting the first tuning screw 2 and the second tuning screw 10 in the non-contact adjustable negative group delay circuit based on the dielectric resonator according to the present invention, and the specific tuning method is as follows:
as shown in FIG. 5The distance h between the bottom of the dielectric resonator and the dielectric substrate is changed by rotating the first tuning screw 2 1 The center frequency and the group delay of the negative group delay circuit can be changed when h is 2 When it is 4mm, h 1 When changing from 0mm to 0.8mm, the center frequency is reduced from 5.464GHz to 5.353GHz, and the group delay is increased from-0.31 ns to-2.87 ns to reach the maximum value, h 1 When changing from 0.8mm to 4mm, the center frequency decreased from 5.353GHz to 5.244GHz and the group delay decreased from-2.87 ns to-0.40 ns. Except that h1 is 0.4mm, the return loss performance of the circuit is less than-10 dB under the other conditions, the insertion loss is kept between-3 dB and-4 dB, and the bandwidth of the working frequency band is more than 20MHz.
As shown in fig. 6, the distance h between the bottom of the dielectric resonator and the dielectric substrate is changed by rotating the second tuning screw 10 2 The center frequency and the group delay of the negative group delay circuit can be changed when h is 1 When it is 1.2mm, h 2 When changing from 12mm to 3mm, the center frequency decreased from 5.408GHz to 5.325GHz and the group delay increased from-4.6 ns to-3.02 ns, reaching a maximum. The return loss performance of the circuit is less than-10 dB, the insertion loss is kept between-3 dB and-4 dB, and the bandwidth of the working frequency band is more than 20MHz.
The above results show the tunable approximate range of the present patent, and both the group delay value and the center frequency can be obtained by adjusting two tuning screws in the given range.
In summary, the non-contact adjustable negative group delay circuit based on the dielectric resonator realizes tunable negative group delay characteristics, has the characteristics of small insertion loss, good port matching and the like, can obtain a large negative group delay value in a 5GHz frequency band, can obtain negative group delay circuits in other frequency bands by replacing dielectric resonators with other frequencies, is very suitable for being applied to various radio frequency microwave communication systems, and solves the delay problem in the communication systems.
Although the present invention has been described with reference to the preferred embodiments, it is not intended to be limited thereto. Those skilled in the art can make various changes and modifications without departing from the spirit and scope of the invention. Therefore, the protection scope of the present invention should be determined by the appended claims.
Claims (7)
1. A non-contact adjustable negative group delay circuit based on a dielectric resonator is characterized by comprising a dielectric resonator (1), a dielectric substrate (6), a dielectric cover plate (8) and at least one supporting column (7), wherein the dielectric substrate (6) and the dielectric cover plate (8) are connected through the supporting columns (7) in a parallel posture, and the upper end and the lower end of each supporting column (7) are respectively vertical to the dielectric substrate (6) and the dielectric cover plate (8);
one surface of the dielectric substrate (6) facing the dielectric cover plate (8) is an upper surface, the bottom of the dielectric substrate (6) is grounded, an annular microstrip line (3), a first microstrip line (4) and a second microstrip line (5) are distributed on the upper surface of the dielectric substrate (6), any one end of the annular microstrip line (3) is connected with one end of the first microstrip line (4), the other end of the first microstrip line (4) is connected with any position of the second microstrip line (5), two ends of the second microstrip line (5) are respectively connected with an input port (51) and an output port (52), and the input port (51) and the output port (52) respectively form an input end and an output end of the non-contact adjustable negative group delay circuit;
the dielectric resonator (1) is arranged in an area surrounded by the upper surface of the dielectric substrate (6) corresponding to the annular microstrip line (3), a through hole is formed in the bottom of the dielectric resonator (1), a thread matched with the first tuning screw (2) is arranged in the through hole, the top of the first tuning screw (2) is connected with the bottom of the dielectric resonator (1), and the first tuning screw (2) is perpendicular to the dielectric substrate (6);
a metal tuning disc (9) is distributed on one surface, facing the medium base plate (6), of the medium cover plate (8), a through hole is formed in the top of the metal tuning disc (9), threads matched with a second tuning screw (10) are arranged inside the through hole, the top of the second tuning screw (10) is connected with the top of the metal tuning disc (9), and the second tuning screw (10) is perpendicular to the medium cover plate (8);
the metal tuning disc (9) and the dielectric resonator (1) are overlapped in the projection direction, and the dielectric resonator (1) and the metal tuning disc (9) respectively realize the distance adjustment of the dielectric resonator (1) and the metal tuning disc (9) on the longitudinal plane through the rotation of the first tuning screw (2) and the second tuning screw (10).
2. A dielectric resonator based contactless tunable negative group delay circuit according to claim 1, characterized in that the metal tuning disk (9) is located directly above the dielectric resonator (1).
3. The non-contact adjustable negative group delay circuit based on the dielectric resonator as claimed in claim 1, wherein the inner diameter of the annular microstrip line (3) is larger than the outer diameter of the dielectric resonator (1).
4. The dielectric resonator-based non-contact adjustable negative group delay circuit according to claim 1, wherein the dielectric resonator (1) is equivalent to an RLC circuit formed by connecting an equivalent inductor L, an equivalent resistor R and an equivalent capacitor C in parallel, and the dielectric resonator (1) is coupled to the annular microstrip line (3) according to the following formula:
obtaining a coupling coefficient g of the dielectric resonator (1) and the annular microstrip line (3), wherein Q is the quality factor of the dielectric resonator itself e Is the quality factor, R, of the dielectric resonator (1) after coupling with the annular microstrip line L Resistance of equivalent inductance, ω 0 Is the resonance frequency of the dielectric resonator (1),
n is the number of turns of the equivalent inductor, Z 0 The load impedance is at two ends of the annular microstrip line;
according to the following formula:
obtaining a mediumAfter the resonator (1) is coupled with the annular microstrip line (3), the equivalent series impedance Z of the dielectric resonator (1) DR Wherein j is an imaginary part unit, and omega is the resonant frequency of the coupling circuit after the dielectric resonator (1) and the annular microstrip line (3) are coupled.
5. The dielectric resonator-based contactless tunable negative group delay circuit according to claim 4, wherein the scattering parameter [ S ] of the coupling circuit is represented as:
wherein, the annular microstrip line (3) is divided into two parts by any one point between the two ends of the annular microstrip line (3) | 1 、l 2 Are each two part length, wherein 1 Is the length between one end of the annular microstrip line (3) connected with the first microstrip line (4) and the arbitrary point 2 Is the length beta between the arbitrary point and the other end of the annular microstrip line (3) 1 、β 2 Are each l 1 、l 2 A corresponding phase shift constant;
scattering parameter [ S ] based on coupling circuit]Obtaining input return loss of the coupling circuit
Insertion loss
According to the equivalent series impedance Z of the dielectric resonator (1) DR And the output return loss S of the coupling circuit 21 According to the following formula:
obtaining insertion loss S of equivalent RLC circuit 21 Where i is the imaginary unit and θ is the ringThe corresponding fitting length of the shape microstrip line (3);
further obtaining the phase of the equivalent RLC circuit insertion loss according to the formula:
wherein the content of the first and second substances,
6. the dielectric resonator-based contactless adjustable negative group delay circuit according to claim 5, wherein the equivalent RLC circuit-based group delay function τ (ω) is determined based on ω ═ ω 0 When the temperature of the water is higher than the set temperature,
when ω tends to 0, the group delay function of the equivalent RLC circuit is according to the following equation:
according to the formula, the adjustable negative group delay circuit adjusts the group delay value of the coupling circuit by adjusting the coupling coefficient g of the dielectric resonator (1) and the annular microstrip line (3) and the quality factor Q of the dielectric resonator (1), and changes the coupling coefficient g by changing the distance between the dielectric resonator (1) and the annular microstrip line (3), namely, the coupling coefficient g of the circuit is changed by adjusting the first tuning screw (2);
the distance between the dielectric resonator (1) and the metal tuning disc (9) is changed by adjusting the second tuning screw (10), the size of the coupling coefficient g of the circuit is changed, and the quality factor Q of the dielectric resonator (1) is further changed e Namely, the coupling coefficient g of the circuit is changed by adjusting the second tuning screw (10).
7. The method for constructing the non-contact adjustable negative group delay circuit based on the dielectric resonator as recited in any one of claims 1-6, characterized by comprising the following steps:
step S1, obtaining the coupling coefficient g of the dielectric resonator (1) and the annular microstrip line (3), and further obtaining the equivalent series impedance Z of the dielectric resonator (1) after the dielectric resonator (1) is coupled with the annular microstrip line (3) DR ；
Step S2, scattering parameter [ S ] based on coupling circuit]Obtaining the input return loss S of the coupling circuit 11 And insertion loss S 21 ；
Step S3, insertion loss S according to equivalent RLC circuit 21 Obtaining the phase of insertion loss, and obtaining a group delay function tau (omega) of an equivalent RLC circuit based on the definition of the phase and the group delay;
and step S4, determining each parameter value in the non-contact adjustable negative group delay circuit by using the group delay function tau (omega), and obtaining the corresponding non-contact adjustable negative group delay circuit according to the parameter values.
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| JP6013793B2 (en) * | 2012-06-18 | 2016-10-25 | 日本電信電話株式会社 | Dispersion compensation medium |
| US9722589B1 (en) * | 2016-04-15 | 2017-08-01 | Microsoft Technology Licensing, Llc | Clock distribution network for a superconducting integrated circuit |
| CN107508572B (en) * | 2017-08-07 | 2021-01-15 | 大连海事大学 | Broadband negative group time delay microwave circuit based on distributed parameter realization |
| CN108566175B (en) * | 2018-03-26 | 2021-08-10 | 西南电子技术研究所（中国电子科技集团公司第十研究所） | Adjustable negative group delay circuit |
| JP7255143B2 (en) * | 2018-11-07 | 2023-04-11 | 富士通株式会社 | Group delay compensation filter |
| CN110378015B (en) * | 2019-07-17 | 2023-05-30 | 南京信息工程大学 | Low-loss negative group delay circuit based on annular microstrip line |
| CN213690001U (en) * | 2020-10-12 | 2021-07-13 | 广东工业大学 | Waveguide structure of circular ring-shaped resonant cavity with notch |
| CN214153150U (en) * | 2021-02-09 | 2021-09-07 | 南京信息工程大学 | Crab-shaped double-frequency-band negative group time delay circuit |
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| CN109560830A (en) * | 2018-11-20 | 2019-04-02 | 大连海事大学 | A kind of centre frequency and the adjustable negative group delay circuitry of Self Matching of group delay |
| CN109918864A (en) * | 2019-05-05 | 2019-06-21 | 南京信息工程大学 | Negative group delay circuitry and design method based on fan-shaped stub and coupled microstrip line |
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