Wave vector dispersion spectrum calculation method and system based on phase angle measurement

Abstract

The invention discloses a wave vector dispersion spectrum calculation method and system based on phase angle measurement. The system comprises a signal source control module, a test loop module and a data acquisition and processing module. The signal source control module provides electromagnetic wave signals with different amplitudes and frequencies for the experimental test loop, and after the electromagnetic wave signals are transmitted by the test loop module, the data acquisition and processing module receives phase angle and frequency information of the electromagnetic wave signals. By separating the variable quantity of the electromagnetic wave phase angle under different frequencies, the wave vector is reversely calculated after data processing, and a complete wave vector dispersion spectrum is obtained. The wave vector dispersion spectrum calculation method based on phase angle measurement is realized for the first time, and the high-precision wave vector dispersion spectrum is simply, conveniently and efficiently obtained.

Description

Technical Field

[0001] The present invention belongs to the field of electromagnetic wave signal detection processing and spectrum analysis, and specifically relates to a method and system for calculating wave vector dispersion spectrum based on phase angle measurement. Background Art

[0002] In many fields such as modern physics, optical engineering, communication technology, and materials science, the acquisition of wave vector dispersion maps plays a vital role in deeply understanding the propagation characteristics of waves, the dispersion properties of media, and designing high-performance devices.

[0003] Therefore, accurately mastering the wave vector dispersion spectrum is crucial to deeply understand the propagation laws of waves in different media.

[0004] Wave vector dispersion spectrum is an important tool for describing the propagation characteristics of waves at different frequencies. Traditional measurement methods often rely on complex equipment and cumbersome operations, resulting in low measurement efficiency and insufficient accuracy.

[0005] Traditional wave vector dispersion spectrum measurement methods often rely on complex interferometer devices or precise analysis of the wave amplitude, but they have extremely high requirements for environmental stability. Slight vibrations and temperature changes may cause the measurement error to increase sharply. They also require professional experimental environments and operators. These methods have many technical difficulties and limitations in implementation.

[0006] Therefore, a novel and simple method for measuring wave vector dispersion spectrum is urgently needed. Summary of the Invention

[0007] The purpose of the present invention is to provide a wave vector dispersion spectrum calculation method based on phase angle measurement, reduce equipment cost and operation difficulty, improve signal resolution efficiency and accuracy, and realize simple, efficient and high-precision wave vector dispersion spectrum measurement.

[0008] In addition, another object of the present invention is to provide a simple, efficient and high-precision wave vector dispersion spectrum calculation system based on the above-mentioned phase angle measurement, aiming to improve the measurement method of the medium dispersion relationship and broaden the application scope of the wave vector dispersion spectrum measurement technology.

[0009] In order to solve the above problems, the present invention is implemented according to the following technical solutions:

[0010] A method for calculating a wave vector dispersion spectrum based on phase angle measurement comprises the following steps:

[0011] S1: Turn on the signal source control module and preheat it to a stable state;

[0012] S2: Set the amplitude and frequency of the electromagnetic wave signal output by the lock-in amplifier module;

[0013] S3: Connect the signal source control module to the test loop module through a coaxial cable;

[0014] S4: In the test loop module, electromagnetic wave signals are received and conducted through multiple circuit modules connected in series;

[0015] S5: Connect the test loop module to the data acquisition and processing module through a coaxial cable;

[0016] S6: Record the phase angle and frequency data of the electromagnetic wave signal in the data acquisition and processing module, and reversely calculate the wave vector to obtain a wave vector dispersion spectrum.

[0017] Furthermore, the signal source control module is composed of a lock-in amplifier module, which can output electromagnetic wave signals with a relatively large amplitude (1V) and a relatively wide frequency range (10MHz).

[0018] Furthermore, the test loop module is composed of a multi-stage LC circuit module, and the module circuit is composed of a combination of different inductance values (L) and different capacitance values (C).

[0019] Furthermore, the data acquisition and processing module includes a lock-in amplifier module and a computer module. The lock-in amplifier module receives the signal from the test loop module and performs phase detection, noise reduction and filtering on the signal.

[0020] Furthermore, the computer module processes the stored signal data to separate the phase angle variation of the electromagnetic wave signal and calculate the wave vector.

[0021] Furthermore, the data acquisition and processing module includes a phase-locked amplifier module and a computer module. The phase-locked amplifier module receives the signal from the test loop module and performs phase detection, noise reduction and filtering on it; by measuring the phase angle change of the electromagnetic wave signal after propagation in the periodic medium, the signal resolution efficiency and accuracy are improved.

[0022] Furthermore, a method for calculating a wave vector dispersion spectrum based on phase angle measurement includes the following steps:

[0023] First, start the signal source control module to preheat. After the signal stabilizes, set the electromagnetic wave amplitude output by the lock-in amplifier module to 0.1-1.0V and the frequency to 100Hz-10MHz.

[0024] Secondly, connect the signal source control module and the test loop module via a coaxial cable. The test loop module consists of 10-20 circuit modules connected in series. A single-stage circuit module uses a combination of 0.1-2.2μH hollow-core flat wire inductors and 2.2-6.8μF mica capacitors.

[0025] Next, connect the test loop module and the data acquisition and processing module via a coaxial cable. The data acquisition and processing module starts recording data, extracts the phase angle and frequency data of the electromagnetic wave signal on the computer module, reversely calculates the wave vector, and obtains one data point of the wave vector dispersion spectrum.

[0026] Subsequently, the frequency of the electromagnetic wave output by the phase-locked amplifier module is increased in sequence to obtain multiple data points of the wave vector dispersion spectrum, and the data points are processed on the computer module to obtain the entire wave vector dispersion spectrum.

[0027] In addition, the present invention also discloses a wave vector dispersion spectrum calculation system based on phase angle measurement, the system includes a signal source control module, a test loop module and a data acquisition and processing module;

[0028] The signal source control module is used to provide electromagnetic wave signals of different amplitudes and frequencies to the experimental test circuit and is connected to the test circuit module;

[0029] The test loop module is used to transmit the electromagnetic wave signal of the signal source control module and output the signal to the connected data acquisition and processing module;

[0030] The data acquisition and processing module is used to collect the electromagnetic wave signal output by the test loop module; by separating the phase angle change of the electromagnetic wave received by the data acquisition and processing module, and performing data processing to reversely calculate the wave vector, a wave vector dispersion spectrum is obtained.

[0031] Furthermore, the signal source control module is composed of a phase-locked amplifier module, which provides an electromagnetic wave signal with a relatively large amplitude (1V) and a relatively wide frequency range (10MHz) to the experimental test loop through a coaxial cable.

[0032] Furthermore, the test loop module is composed of a multi-stage module circuit with different inductance values (L) and different capacitance values (C);

[0033] The test loop module receives and conducts the electromagnetic wave signal output by the signal source control module, and outputs the electromagnetic wave signal to the data acquisition and processing module through the coaxial cable.

[0034] Furthermore, the data acquisition and processing module is composed of a phase-locked amplifier module and a computer module; the phase-locked amplifier module receives the electromagnetic wave signal output by the test loop module; the computer processes the electromagnetic wave phase angle data received by the phase-locked amplifier module, reversely calculates the wave vector, and obtains the wave vector dispersion spectrum.

[0035] Compared with the existing technology, the wave vector dispersion spectrum calculation method and system based on phase angle measurement of the present invention have the following advantages and beneficial technical effects:

[0036] 1) The signal source control module of the present invention can provide the experimental circuit with an electromagnetic wave signal with a large amplitude and a wide frequency range, which is conducive to obtaining a stable, high-frequency signal, thereby obtaining a complete wave vector dispersion spectrum reaching the boundary of the Brillouin zone.

[0037] 2) The test loop module of the present invention is composed of a multi-stage LC circuit module circuit, which facilitates real-time adjustment of the values of the inductance and capacitance in the circuit and the number of module circuit stages, and is conducive to quickly finding suitable experimental parameters and obtaining a wave vector dispersion spectrum.

[0038] 3) The data acquisition and processing module of the present invention can obtain accurate phase angle changes and quickly calculate the wave vector dispersion spectrum of the collected electromagnetic wave signals of different frequencies after phase detection, noise reduction and filtering.

[0039] 4) The present invention provides a method and system for calculating a wave vector dispersion spectrum based on phase angle measurement. By measuring the phase angle change of an electromagnetic wave signal after propagation in a periodic medium and reversely calculating the wave vector, the signal resolution efficiency and accuracy are improved, and a wave vector dispersion spectrum can be obtained concisely and quickly. BRIEF DESCRIPTION OF THE DRAWINGS

[0040] Figure 1 Schematic diagram of the structure of the wave vector dispersion spectrum calculation system based on phase angle measurement of the present invention;

[0041] Among them: 10-signal source control module, 20-phase-locked amplifier module, 30-test loop module, 40-module circuit, 50-data acquisition and processing module, 60-computer module.

[0042] Figure 2 This is a flow chart of the steps of the wave vector dispersion spectrum calculation method and system control method based on phase angle measurement of the present invention;

[0043] Figure 3 This is a wave vector dispersion spectrum result diagram of the wave vector dispersion spectrum calculation method based on phase angle measurement of the present invention;

[0044] Figure 4 This is a diagram showing the wave vector dispersion spectrum results of a wave vector dispersion spectrum calculation method based on phase angle measurement according to another embodiment of the present invention.

[0045] Figure 5 This is a diagram showing wave vector dispersion spectrum results of a wave vector dispersion spectrum calculation method based on phase angle measurement according to yet another embodiment of the present invention. DETAILED DESCRIPTION

[0046] The preferred embodiments of the present invention are described below with reference to the accompanying drawings. It should be understood that the preferred embodiments described herein are only used to illustrate and explain the present invention, and are not used to limit the present invention.

[0047] like Figure 1 As shown, the present invention discloses a wave vector dispersion spectrum calculation system based on phase angle measurement. The wave vector dispersion spectrum calculation system includes a signal source control module 10, a test loop module 30 and a data acquisition and processing module 50.

[0048] The signal source control module 10 provides electromagnetic wave signals of different amplitudes and frequencies to the experimental test circuit. After being transmitted by the test circuit module 30 , the phase angle and frequency information of the electromagnetic wave signals are received by the data acquisition and processing module 50 .

[0049] By controlling the amplitude and frequency of the electromagnetic wave output by the signal source control module 10 and the module circuit 40 of the test loop module, and analyzing and processing the data through the data acquisition and processing module 50, a wave vector dispersion spectrum based on phase angle measurement is generated. By isolating the changes in the electromagnetic wave phase angle at different frequencies and reversely calculating the wave vector after data processing, a complete wave vector dispersion spectrum is obtained. The phase angle varies at different test frequencies, and each point in the data graph represents a calculated phase angle.

[0050] The signal source control module 10 is composed of a lock-in amplifier module 20, which provides an electromagnetic wave signal with a relatively large amplitude (1V) and a relatively wide frequency range (10MHz) to the experimental test loop through a coaxial cable.

[0051] The test loop module 30 is composed of a multi-stage module circuit 40 composed of an inductor L and a capacitor C; the test loop module 30 receives and transmits the electromagnetic wave signal output by the signal source control module 10, and outputs the electromagnetic wave signal to the data acquisition and processing module 50 through a coaxial cable.

[0052] The capacitance value, inductance value and test frequency value are all variable, and the specific values are reflected in the embodiments.

[0053] The data acquisition and processing module 50 is composed of a phase-locked amplifier module 20 and a computer module 60; the phase-locked amplifier module 20 receives the electromagnetic wave signal output by the test loop module 30; the computer module 60 processes the electromagnetic wave phase angle data received by the phase-locked amplifier module 20, reversely calculates the wave vector, and calculates the wave vector dispersion spectrum.

[0054] Example 1

[0055] like Figure 2 FIG. 1 is a flow chart of the steps of a method for controlling calculation of a wave vector dispersion spectrum based on phase angle measurement according to an embodiment of the present invention.

[0056] This embodiment adopts a wave vector dispersion spectrum calculation method based on phase angle measurement, which includes the following steps:

[0057] Step 1: Turn on the signal source control module and preheat it for 10 minutes. After the signal stabilizes, set the electromagnetic wave amplitude output by the lock-in amplifier module to 0.5V and the frequency to 211Hz.

[0058] Step 2: Connect the signal source control module and the test loop module through a coaxial cable; the test loop module is composed of 20 circuit modules in series, and a single-stage circuit module uses a combination of a 1.4μH hollow-core flat wire inductor and a 3150pF mica capacitor.

[0059] Step 3: Connect the test loop module and the data acquisition and processing module via a coaxial cable. The data acquisition and processing module begins recording data, extracting the phase angle and frequency data of the electromagnetic wave signal on the computer module, and reversely calculating the wave vector to obtain a data point in the wave vector dispersion spectrum.

[0060] Step 4: Increase the frequency of the electromagnetic wave output by the lock-in amplifier module in sequence, increasing it by 100kHz each time, to obtain multiple data points of the wave vector dispersion spectrum, and process the data points on the computer module to obtain the entire wave vector dispersion spectrum.

[0061] like Figure 3 As shown in the figure, the calculation results of the test 20-level circuit module based on the wave vector dispersion spectrum calculation method of phase angle measurement show that the wave vector k approaches the boundary limit value 1 (0.99738) at 4.9MHz, and the overall curve is in line with actual expectations, indicating that the phase angle test calculation method system has achieved improvements to the above technical problems.

[0062] Compared with general test calculation method systems, the method and system of the embodiment of the present invention can improve the resolution efficiency and accuracy of the signal, and obtain the wave vector dispersion spectrum simply, efficiently and with high precision.

[0063] Example 2

[0064] This embodiment adopts a wave vector dispersion spectrum calculation method based on phase angle measurement, which includes the following steps:

[0065] Step 1: Start the signal source control module to output an electromagnetic wave signal with an amplitude of 0.5V and a frequency of 211Hz.

[0066] Step 2: Build a test loop module using a 20-stage LC circuit with an inductance of 1.4 μH and a capacitance of 3150 pF per stage.

[0067] Step 3: Connect the data acquisition and processing module, record the phase angle and frequency data, perform reverse calculations, and obtain the initial data points of the wave vector dispersion spectrum.

[0068] Step 4: Gradually increase the frequency by 50kHz each time, record multiple data points, and finally process the data on a computer to generate a complete wave vector dispersion spectrum.

[0069] like Figure 4 As shown in FIG, the calculation results of the test 20-level circuit module based on the wave vector dispersion spectrum calculation method of phase angle measurement show that the wave vector k approaches the boundary limit value 1 (0.99877) at 4.9MHz, and the overall curve is in line with actual expectations.

[0070] Example 3

[0071] This embodiment adopts a wave vector dispersion spectrum calculation method based on phase angle measurement, which includes the following steps:

[0072] Step 1: Start the signal source control module to output an electromagnetic wave signal with an amplitude of 0.5V and a frequency of 211Hz.

[0073] Step 2: Build a test loop module using a 10-stage LC circuit with an inductance of 1.4 μH and a capacitance of 3150 pF per stage.

[0074] Step 3: Connect the data acquisition and processing module, record the phase angle and frequency data, perform reverse calculations, and obtain the initial data points of the wave vector dispersion spectrum.

[0075] Step 4: Gradually increase the frequency by 50kHz each time, record multiple data points, and finally process the data on a computer to generate a complete wave vector dispersion spectrum.

[0076] like Figure 5 As shown in the figure, the calculation results of the test 20-level circuit module based on the wave vector dispersion spectrum calculation method of phase angle measurement show that the wave vector k approaches the boundary limit value 1 (0.96106) at 4.9MHz, and the overall curve is in line with actual expectations.

[0077] In summary, the present invention provides an innovative method and system for calculating wave-vector dispersion spectra based on phase angle measurement. By optimizing the signal source, test loop, and data processing, the measurement efficiency and accuracy of the wave-vector dispersion spectra are improved, and the method has broad application prospects.

[0078] The above description is merely a preferred embodiment of the present invention and does not constitute any form of limitation to the present invention. Therefore, any simple modifications, equivalent changes, and modifications made to the above embodiments based on the technical essence of the present invention without departing from the content of the technical solution of the present invention are still within the scope of the technical solution of the present invention.

Claims

1. A method for calculating wave vector dispersion spectrum based on phase angle measurement, characterized in that: The wave vector dispersion spectrum calculation method includes the following steps: S1: Turn on the signal source control module and preheat it to a stable state; S2: Set the amplitude and frequency of the electromagnetic wave signal output by the lock-in amplifier module; S3: Connect the signal source control module to the test loop module through a coaxial cable; S4: In the test loop module, electromagnetic wave signals are received and conducted through multiple circuit modules connected in series; S5: Connect the test loop module to the data acquisition and processing module through a coaxial cable; S6: Record the phase angle and frequency data of the electromagnetic wave signal in the data acquisition and processing module, and reversely calculate the wave vector to obtain a wave vector dispersion spectrum.

2. The method according to claim 1, wherein: The signal source control module is composed of a lock-in amplifier module, which can output an electromagnetic wave signal with an amplitude of 1V and a frequency range of 10MHz.

3. The method according to claim 1, wherein: The test loop module is composed of a multi-stage LC circuit module, and each stage module circuit is composed of a combination of different inductance values (L) and different capacitance values (C).

4. The method according to any one of claims 1 to 3, characterized in that: The data acquisition and processing module includes a lock-in amplifier module and a computer module. The lock-in amplifier module receives the signal from the test loop module and performs phase detection, noise reduction and filtering on the signal.

5. The method according to claim 4, characterized in that: By measuring the phase angle change of electromagnetic wave signals after propagation in periodic media, the signal resolution efficiency and accuracy can be improved.

6. The method according to claim 5, characterized in that: The following steps are involved: First, start the signal source control module to preheat. After the signal stabilizes, set the electromagnetic wave amplitude output by the lock-in amplifier module to 0.1-1.0V and the frequency to 100Hz to 10MHz. Secondly, connect the signal source control module and the test loop module via a coaxial cable. The test loop module consists of 10-20 circuit modules connected in series. A single-stage circuit module uses a combination of 0.1-2.2μH hollow-core flat wire inductors and 2.2-6.8μF mica capacitors. Next, connect the test loop module and the data acquisition and processing module via a coaxial cable. The data acquisition and processing module starts recording data, extracts the phase angle and frequency data of the electromagnetic wave signal on the computer module, reversely calculates the wave vector, and obtains one data point of the wave vector dispersion spectrum. Subsequently, the frequency of the electromagnetic wave output by the phase-locked amplifier module is increased in sequence to obtain multiple data points of the wave vector dispersion spectrum, and the data points are processed on the computer module to obtain the entire wave vector dispersion spectrum.

7. A wave vector dispersion spectrum calculation system based on phase angle measurement, characterized by: The system includes a signal source control module, a test loop module and a data acquisition and processing module; The signal source control module is used to provide electromagnetic wave signals of different amplitudes and frequencies to the experimental test circuit and is connected to the test circuit module; The test loop module is used to transmit the electromagnetic wave signal of the signal source control module and output the signal to the connected data acquisition and processing module; The data acquisition and processing module is used to collect the electromagnetic wave signal output by the test loop module. The wave vector dispersion spectrum is obtained by separating the phase angle variation of the electromagnetic wave received by the data acquisition and processing module and performing data processing to reversely calculate the wave vector.

8. The signal source control module according to claim 7, wherein: The signal source control module is composed of a lock-in amplifier module, which provides an electromagnetic wave signal with an amplitude of 1V and a frequency range of 10MHz to the experimental test loop through a coaxial cable.

9. The test loop module according to claim 7, characterized in that: The test loop module is composed of a multi-stage module circuit with different inductance values (L) and different capacitance values (C); The test loop module receives and conducts the electromagnetic wave signal output by the signal source control module, and outputs the electromagnetic wave signal to the data acquisition and processing module through the coaxial cable.

10. The data acquisition and processing module according to claim 7, characterized in that: The data acquisition and processing module is composed of a lock-in amplifier module and a computer module; The lock-in amplifier module receives the electromagnetic wave signal output by the test loop module; The computer processes the electromagnetic wave phase angle data received by the lock-in amplifier module, reversely calculates the wave vector, and obtains the wave vector dispersion spectrum.

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