CN115081215A - Method for generating multimode vortex electromagnetic wave by reflecting current of N-arm Archimedes spiral structure - Google Patents
Method for generating multimode vortex electromagnetic wave by reflecting current of N-arm Archimedes spiral structure Download PDFInfo
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Abstract
The invention discloses a method for generating multimode vortex electromagnetic waves of an N-arm Archimedes spiral structure based on a reflected current band theory m Selecting a feed phase distribution pair which is inverted from the second phase, calculating the equivalent average radius value range of a main radiation ring area of a corresponding antenna OAM mode under all the feed phase distribution pairs, determining the range of the inner and outer initial radii of the antenna, finally establishing a frequency domain far-field monitor in an antenna model, simulating the N-arm Archimedes spiral antenna model, and detecting the days at different frequencies in the simulation process in real timeThe intensity and the phase distribution of a far-field line realize the generation of more OAM mode vortex electromagnetic waves.
Description
Technical Field
The invention belongs to the technical field of radio frequency antennas, and particularly relates to a method for generating multimode vortex electromagnetic waves with an N-arm Archimedes spiral structure based on a reflected current band theory.
Background
Human exploration of orbital angular momentum begins in the optical domain. In 1909, Poynting theoretically predicts the mechanical effect of the electromagnetic field spin angular momentum, and Beth experimentally verifies in 1936. Up to 1992, the characteristic e that the Laser with Laguerre-Gaussian amplitude distribution has clear Orbital Angular momentum and the Orbital Angular momentum OAM (Orbital Angular momentum) has helical phase factor was determined, which was stated by "Orbital Angular momentum of light and transformation of Laguerre Gaussian Laser mode" issued by Allen L et al in journal of Physical Review A Molecular 45, 11 -jlφ And l is the topological kernel number of OAM, phi is the azimuth angle, and the deep research on orbital angular momentum is started up till now. Theoretically, the number of OAM modes is infinite, different OAM modes are mutually orthogonal and independently spread in space, and the Jolbert space with infinite dimensions is formed, so that the OAM mode is expected to be used for expanding the capacity of a communication system and improving the imaging resolution in the imaging field.
At present, methods for generating vortex electromagnetic waves in radio frequency band are generally classified into 4 categories. The single microstrip patch antenna has the advantages of simple structure, easy realization and low manufacturing cost, but the bandwidth and the number of OAM modes of the antenna are limited. The array antenna has the characteristics of simple design principle, flexible structure and multiple OAM modes, but the structure is huge and the manufacturing cost is high. The super-surface antenna has low profile and is easy to focus beams, but the number of units is large and the radiation efficiency is low. Traveling wave antennas generally fall into two broad categories: one is a resonant cavity type traveling wave antenna, and only vortex electromagnetic waves carrying OAM modes are generated in an orthogonal feeding mode, but the number of the OAM modes is only 1 group, and the working bandwidth of the antenna is a narrow-band range; and the other type is a spiral traveling wave antenna which has the characteristics of non-frequency-variation and easy nesting and can realize the generation of vortex electromagnetic waves carrying multiple OAM modes in a broadband range.
In 2022, related researchers published a patent "broadband multi-OAM vortex electromagnetic wave generation method for N-arm archimedes spiral antenna" (CN 113111493B, 2022.03.22), and broadband multi-OAM vortex electromagnetic wave was generated by using the non-frequency-changing characteristic of N-arm archimedes planar spiral antenna and the radiation mechanism of circular traveling wave antenna. However, based on the theory of the circular current band, researchers only analyzed the radiation of the N-arm archimedes planar spiral antenna when the current is transmitted in the forward direction on the spiral arm. When the current starts from the initial position and reaches the tail end of the spiral arm to form a reflected current, the radiation condition of the N-arm Archimedes planar spiral antenna is not clear.
Disclosure of Invention
The invention aims to overcome the defects of the prior art and provides an N-arm Archimedes spiral structure multimode vortex electromagnetic wave generation method based on a reflection current band theory.
In order to achieve the purpose, the invention provides an N-arm Archimedes spiral structure multimode vortex electromagnetic wave generation method based on a reflection current band theory, which is characterized by comprising the following steps of:
(1) establishing an N-arm Archimedes spiral antenna model in a time domain solver of electromagnetic simulation software, wherein the N-arm Archimedes spiral antenna model comprises a circular dielectric substrate, a metal reflecting plate, a metal grounding ring engraved on the back surface of the circular dielectric substrate and N metal spiral lines engraved on the front surface of the circular dielectric substrate;
the N metal spiral lines are uniformly wound, the line width is fixed and unchanged, the metal spiral lines rotate clockwise or anticlockwise, and N feeding coaxiality is established at the starting points or the end points of the N metal spiral lines and used for setting a feeding wave port; the metal grounding ring and the feed wave port are in the same radius and are used for realizing impedance matching; the metal reflecting plate has the same size as the dielectric substrate and is used for improving the gain of the antenna;
(2) selecting the thickness of h and the relative dielectric constant of epsilon r The dielectric substrate is selected to have a width wThe metal spiral line calculates the equivalent dielectric constant epsilon according to the calculation formula of the equivalent dielectric constant of the metal microstrip line eff ；
(3) N feeding wave ports are arranged on the N feeding coaxial lines in the anticlockwise direction or the clockwise direction;
(4) inputting the same power and different feeding phase distribution A to N feeding wave ports m The sinusoidal excitation signal of (a);
wherein N is the number of arms of the spiral arm; m represents the number of phase distribution, m is a non-negative integer and has the value range of 1, 2, …, N-1 and N;
analysing different feed phase profiles A m When N is 2p +1 or N is 2p +2, the distribution a is distributed in the feeding phase m Selecting a feed phase distribution pair which is inverted from the second phase, recording the number of the feed phase distribution pairs as p, wherein p is a positive integer, the value range is 1, 2 and …, and the value range is always smaller than N/2; the phase distribution of the power feed is denoted by A q And A N-q Q is a positive integer and has the value range of 1, 2, … and p; wherein when the power feeding phase is distributed N-q The corresponding current cannot be directly radiated, and when the current is reflected at the tail end of the spiral arm, the feed phase distribution of the reflected current is A -q ；
(5) Calculating a feed phase distribution A N-q Under excitation, the theoretical value of a vortex electromagnetic wave OAM mode generated by the antenna under the condition of a fundamental mode;
l(A N-q )＝±(N-q-1)
(6) calculating a feed phase distribution A -q Under excitation, the theoretical value of a vortex electromagnetic wave OAM mode generated by the antenna under the condition of a fundamental mode;
(7) selecting a theoretical value l (A) of an antenna OAM mode -q ) Minimum operating frequency f min (A -q ) Calculating theoretical value l (A) of antenna OAM mode N-q ) Minimum operating frequency f min (A N-q )；
(8) And calculating a theoretical value l (A) of the OAM mode of the antenna -q ) And l (A) N-q ) Maximum operating frequency f max (A -q ) And f max (A N-q )；
When N is 2p +1,
when N is 2p +2,
(9) and calculating a theoretical value l (A) of the OAM mode of the antenna -q ) And l (A) N-q ) Of equivalent operating wavelength λ g ；
Wherein c is the speed of light in free space, f is the working frequency in the OAM mode of the antenna, and the value range is [ f [ ] min (A -q ),f max (A -q )]And [ f min (A N-q ),f max (A N-q )]；
Thus, OAM pattern l (A) is obtained -q ) And l (A) N-q ) Of equivalent operating wavelength λ g The value range of (a);
(10) calculating the value range of the equivalent average radius of the main radiation ring area of the antenna OAM mode;
wherein, C (A) -q ) And C (A) N-q ) Is OAM mode l (A) -q ) And l (A) N-q ) An equivalent average perimeter of the main radiating ring region;
(11) changing the values of m, p and q, repeating the steps (4) - (10), and calculating all antenna OAM modes l (A) -q ) And l (A) N-q ) Of the main radiating loop area r (A) -q ) And r (A) N-q ) The value range of (a);
(12) selecting the inner and outer radiuses of the metal spiral line as r respectively 0 And r 1 ；
In [ f min (A -q ),f max (A -q )]In the frequency range, r 0 、r 1 Is greater than r (A) -q ) Does not satisfy r (A) at the same time N-q ) The value range of (a);
in [ f min (A N-q ),f max (A N-q )]In the frequency range, r 0 、r 1 Is greater than r (A) N-q ) The value range of (a);
(13) establishing a frequency domain far-field monitor in the antenna model, wherein the frequency domain far-field monitor is used for detecting the far-field intensity and phase distribution of the antenna at different frequencies in the simulation process;
(14) simulating the established N-arm Archimedes spiral antenna model to obtain the reflection coefficient S of the antenna 11 And the intensity and the phase distribution of far field distribution, thereby realizing the generation of multiple OAM in a broadband range.
The invention aims to realize the following steps:
the invention relates to a method based on reflected current band managementA theoretical N-arm Archimedes spiral structure multi-mode vortex electromagnetic wave generation method includes the steps of firstly establishing an N-arm Archimedes spiral antenna model in a time domain solver of electromagnetic simulation software, then selecting specific materials of all parts of the antenna model, and analyzing different phase distribution A of sinusoidal excitation signals with the same power input by N feed wave ports m Selecting a feed phase distribution pair which starts to invert from the second phase, calculating the equivalent average radius value range of a main radiation ring area of the corresponding antenna OAM mode under all the feed phase distribution pairs, determining the range of the inner and outer initial radii of the antenna, finally establishing a frequency domain far-field monitor in the antenna model, simulating the N-arm Archimedes spiral antenna model, detecting the far-field intensity and the phase distribution of the antenna at different frequencies in the simulation process in real time, and realizing the generation of more OAM mode vortex electromagnetic waves.
Meanwhile, the N-arm Archimedes spiral structure multimode vortex electromagnetic wave generation method based on the reflection current band theory has the following beneficial effects:
(1) compared with other microstrip vortex electromagnetic wave antennas, the broadband multi-OAM vortex electromagnetic wave generation method based on the N-arm Archimedes spiral antenna has the advantages of being wide in bandwidth, multi-mode, high in gain and the like, and compared with an array, the broadband multi-OAM vortex electromagnetic wave generation method based on the N-arm Archimedes spiral antenna has the advantages of being small in structure, low in manufacturing cost, double in OAM mode and the like.
(2) Compared with an N-arm Archimedes spiral antenna, in addition to the original OAM mode, the reflected current can generate more vortex electromagnetic waves in the OAM mode in another frequency band, the number of the extra OAM modes is N/2, the vortex electromagnetic waves are rounded downwards, and the application range of the vortex electromagnetic waves can be further expanded.
Drawings
FIG. 1 is a schematic diagram of a four-arm Archimedes spiral antenna structure;
FIG. 2 is a schematic diagram of a four-arm Archimedes spiral antenna reflection coefficient and transmission coefficient test scenario;
FIG. 3 is a graph of the reflection coefficients of four wave ports of a four-arm Archimedes spiral antenna;
fig. 4 is simulation and actual measurement results of far field intensity distributions of four-arm archimedes helical antennas carrying different OAM mode vortex electromagnetic waves in the frequency range of 0.6-4.6GHz, left-hand circular polarization OAM mode i 0, i 1, i 2 and i 3, and right-hand circular polarization i-0;
fig. 5 is a simulation and actual measurement of far field intensity distributions of five-arm archimedes helical antennas carrying different OAM mode vortex electromagnetic waves in the frequency range of 0.6-4.6GHz, left-hand circular polarization OAM mode l-0, l-1, l-2 and l-3, and right-hand circular polarization l-0 and l-1.
Detailed Description
The following description of the embodiments of the present invention is provided in order to better understand the present invention for those skilled in the art with reference to the accompanying drawings. It is to be expressly noted that in the following description, a detailed description of known functions and designs will be omitted when it may obscure the subject matter of the present invention.
Example 1
In this embodiment, the method for generating a multimode vortex electromagnetic wave with an N-arm archimedean spiral structure based on a reflected current band theory includes the following steps:
s1, establishing an N-arm Archimedes spiral antenna model in a time domain solver of electromagnetic simulation software, wherein the N-arm Archimedes spiral antenna model comprises a circular dielectric substrate, a metal reflecting plate, a metal grounding ring engraved on the back of the circular dielectric substrate and N metal spiral lines engraved on the front of the circular dielectric substrate;
the N metal spiral lines are uniformly wound, the line width is fixed and unchanged, the metal spiral lines rotate clockwise or anticlockwise, and N feeding coaxiality is established at the starting points or the end points of the N metal spiral lines and used for setting a feeding wave port; the metal grounding ring and the feed wave port are in the same radius and are used for realizing impedance matching; the metal reflecting plate has the same size as the dielectric substrate and is used for improving the gain of the antenna;
in this embodiment, a four-arm archimedes spiral antenna model is established, and an antenna structure schematic diagram is shown in fig. 1, which mainly includes five parts: the first part is a dielectric substrate; the second part is four Archimedes spiral metal spiral lines rotating anticlockwise and engraved on the front surface of the substrate; the third part is a metal grounding ring engraved on the back surface of the substrate; the fourth part is four coaxial feed networks; the last part is a metal reflector plate.
S2, selecting the thickness h and the relative dielectric constant epsilon of the dielectric substrate r Respectively 0.762mm and 3.48 mm, selecting the width w of the metal spiral line as 2mm, and calculating the equivalent dielectric constant epsilon according to the equivalent dielectric constant calculation formula of the metal microstrip line eff 2.765;
s3, 4 feed wave ports are arranged on the 4 feed coaxial cables in the counterclockwise direction;
s4, inputting same power and different feeding phase distribution A to 4 feeding wave ports m In the present embodiment, the following four feed phase distributions exist for the 4-arm archimedean spiral antenna:
A 1 ＝(0,90,180,270)，A 2 ＝(0,180,0,180)，A 3 ＝(0,270,180,90)，A 4 ＝(0,0,0,0)
by analysing different feed phase distributions A m When N is 4 and N is 2p +2, so p is 1 and q is 1, in four feeding phases, a 1 And A 3 The phase distribution is reversed from the second element, A 1 90, 180 and 270 become A 3 90, 180 and 270, the feed phase distribution pair is a 1 And A 3 ；
When feeding phase distribution A 3 The corresponding current cannot be directly radiated, and when the current is reflected at the tail end of the spiral arm, the feed phase distribution of the reflected current is A -1 ；
S5, calculating the feed phase distribution A 3 Under excitation, the theoretical value of a vortex electromagnetic wave OAM mode generated by the antenna under the condition of a fundamental mode;
l(A 3 )＝+2
s6, calculating the reflected current feed phase distribution A -1 Under excitation, the theoretical value of a vortex electromagnetic wave OAM mode generated by the antenna under the condition of a fundamental mode;
l(A -1 )＝-0
s7, selecting theoretical value l (A) of antenna OAM mode -1 ) Lowest operating frequency f of-0 min (A -1 ) 0.6GHz, antenna OAM modeTheoretical value of (A) 3 ) Lowest operating frequency f of +2 min (A 3 )；
S8, calculating theoretical value l (A) of antenna OAM mode -1 ) Is-0 and l (A) 3 ) Maximum operating frequency f ═ 2 max (A -1 ) And f max (A 3 )；
When N is 2p +2 is 4,
s9, calculating theoretical value l (A) of antenna OAM mode -1 ) Is-0 and l (A) 3 ) Equivalent working wavelength λ of +2 g ；
Wherein c is the speed of light in free space, f is the working frequency in the antenna OAM mode, and the value ranges are 0.6-1.8GHz and 1.8-4.2 GHz;
thus, OAM pattern l (A) is obtained -1 ) And l (A) 3 ) Corresponding equivalent operating wavelength λ of g The value ranges of the compounds are 60.14-300.69mm and 25.79-60.14mm respectively;
s10, calculating the value range of the equivalent average radius of the main radiation ring area of the antenna OAM mode;
wherein, C (A) -1 ) And C (A) 3 ) Is OAM mode l (A) -1 ) Is-0 and l (A) 3 ) The equivalent average circumference of the +2 main radiation ring area ranges from 15.97 mm to 47.88mm and from 20.53 mm to 47.88mm respectively;
s11, changing values of m, p and q, repeating the steps S4-S12 for multiple times of calculation, and calculating the value range of the equivalent average radius of all the main radiation ring areas of the antenna OAM mode;
in this case, since p is 1 and q is 1, repeated calculation is not required;
s12, selecting the inner and outer radiuses of the metal spiral line as r respectively 0 And r 1 ；
According to the conclusion in the patent "N-arm archimedes spiral antenna broadband multi OAM vortex electromagnetic wave generation method" (CN 113111493B, 2022.03.22): the theoretical operating frequency ranges of the left-handed circularly polarized OAM modes 0, 1, 2 and 3 are: 0.6-3GHz, 1.2-3.6GHz, 1.8-4.2GHz and 2.4-4.8GHz, and the theoretical ranges of equivalent average radius of the corresponding main radiation ring regions are respectively 9.58-47.88mm, 15.97-47.88mm, 20.53-47.88mm and 23.95-47.88 mm; in the same working frequency range of 0.6-1.8GHz, the theoretical range of the equivalent average radius of the main radiation ring area corresponding to the left-hand circularly polarized OAM mode 2 is 3 times of that of the right-hand circularly polarized OAM mode-0, namely 47.88-143.64mm, and theoretically, the two modes do not interfere with each other;
based on the average theoretical radius range of different OAM modes from S4 to S13 and the conclusion in the patent 'N-arm Archimedes spiral antenna broadband multi-OAM vortex electromagnetic wave generation method' (CN 113111493B, 2022.03.22), and considering the error of theoretical value and simulation and the width of a main radiation area, the inner radius and the outer radius of a metal spiral line are selected to be 4mm and 69mm respectively;
s13, establishing a frequency domain far-field monitor in the antenna model, wherein the frequency range of the monitor is 0.6-4.8GHz, and the interval is 0.1 GHz;
s14, simulating the established N-arm Archimedes spiral antenna model to obtain the reflection coefficient S of the antenna 11 And far field distribution intensity and phase distribution, and more OAM mode vortexes are realizedThe rotating electromagnetic wave is generated.
The antenna prototype was machined and tested, and the test scenario is shown in fig. 2. The reflection coefficients of the four wave ports were measured with a vector network analyzer (VNA, Rohde & Schwarz, ZVA 40), and a power divider and a phase shifter were additionally used to measure the near-field distribution of the antenna.
Simulation results and experimental results of reflection coefficients of four wave ports of the four-arm archimedes spiral antenna are shown in fig. 3, wherein (a) in fig. 3 is the simulation result; FIG. 3 (b) shows the results of the experiment; within the frequency range of 1G-6 GHz, the reflection coefficient curves of the four wave ports are basically consistent and are all lower than-10 dB, and the simulation result and the actual measurement result are well matched.
The results of simulation and actual measurement of far-field intensity distribution of eddy current electromagnetic waves carrying different OAM modes in the frequency range of 0.6-4.5GHz of the four-arm archimedes spiral antenna are shown in fig. 4(a) and 4(b), respectively. As can be seen from the figure, the frequency bands of the generated vortex electromagnetic waves carrying the right-handed circular polarization OAM mode l ═ 0, the left-handed circular polarization OAM mode l ═ 0, 1, 2 and 3 are in the ranges of 0.6 to 2GHz, 0.6 to 3GHz, 1.1 to 3.5GHz, 2.3 to 4.1GHz and 2.6 to 4.5GHz, respectively, and the operating bandwidth ratios are 333%, 500%, 318%, 178% and 173%, respectively, and the details are shown in table 1.
Table 1 is a generated OAM mode and a bandwidth ratio comparison table thereof;
TABLE 1
Example 2
With the same procedure as S1 to S14 in example 1, we can also obtain the simulation results of far-field intensity distribution of vortex electromagnetic waves carrying different OAM modes in the frequency range of 0.6-4.5GHz of a five-arm archimedes spiral antenna as shown in fig. 5. As can be seen from the figure, the generated vortex electromagnetic waves carry the right-handed circular polarized OAM mode l ═ 0, -1, left-handed circular polarized OAM mode l ═ 0, 1, 2, 3 and 4 in the frequency bands of 0.7-2.6GHz, 1.2-2.1GHz, 0.6-3.1GHz, 1.2-4.2GHz, 2.5-4.8GHz, 2.9-5.2GHz and 3.5-5.4GHz, respectively, and the operating bandwidth ratios are 371%, 175%, 517%, 350%, 192%, 179% and 154%, respectively, with details as shown in table 2.
Table 2 is a generated OAM mode and its bandwidth ratio comparison table;
TABLE 2
Although illustrative embodiments of the present invention have been described above to facilitate the understanding of the present invention by those skilled in the art, it should be understood that the present invention is not limited to the scope of the embodiments, and various changes may be made apparent to those skilled in the art as long as they are within the spirit and scope of the present invention as defined and defined by the appended claims, and all matters of the invention which utilize the inventive concepts are protected.
Claims (1)
1. A method for generating multimode vortex electromagnetic waves by reflecting current of an N-arm Archimedes spiral structure is characterized by comprising the following steps of:
(1) establishing an N-arm Archimedes spiral antenna model in a time domain solver of electromagnetic simulation software, wherein the N-arm Archimedes spiral antenna model comprises a circular dielectric substrate, a metal reflecting plate, a metal grounding ring engraved on the back surface of the circular dielectric substrate and N metal spiral lines engraved on the front surface of the circular dielectric substrate;
the N metal spiral lines are uniformly wound, the line width is fixed and unchanged, the metal spiral lines rotate clockwise or anticlockwise, and N feeding coaxiality is established at the starting points or the end points of the N metal spiral lines and used for setting a feeding wave port; the metal grounding ring and the feed wave port are in the same radius and are used for realizing impedance matching; the metal reflecting plate has the same size as the dielectric substrate and is used for improving the gain of the antenna;
(2) selecting the thickness of h and the relative dielectric constant of epsilon r The dielectric substrate is characterized in that a metal spiral line with the width of w is selected, and then the equivalent dielectric constant is calculated according to a calculation formula of the equivalent dielectric constant of the metal microstrip lineε eff ；
(3) N feeding wave ports are arranged on the N feeding coaxial lines in the anticlockwise direction or the clockwise direction;
(4) inputting the same power and different feeding phase distribution A to N feeding wave ports m The sinusoidal excitation signal of (a);
wherein N is the number of arms of the spiral arm; m represents the number of phase distribution, m is a non-negative integer and has the value range of 1, 2, …, N-1 and N;
analysing different feed phase profiles A m When N is 2p +1 or N is 2p +2, the distribution a is distributed in the feeding phase m Selecting a feed phase distribution pair which is inverted from the second phase, recording the number of the feed phase distribution pairs as p, wherein p is a positive integer, the value range is 1, 2 and …, and the value range is always smaller than N/2; the phase distribution of the power feed is denoted by A q And A N-q Q is a positive integer and has the value range of 1, 2, … and p; wherein when the power feeding phase is distributed N-q The corresponding current cannot be directly radiated, and when the current is reflected at the tail end of the spiral arm, the feed phase distribution of the reflected current is A -q ；
(5) Calculating a feed phase distribution A N-q Under excitation, the theoretical value of a vortex electromagnetic wave OAM mode generated by the antenna under the condition of a fundamental mode;
l(A N-q )＝±(N-q-1)
(6) calculating a feed phase distribution A -q Under excitation, the theoretical value of a vortex electromagnetic wave OAM mode generated by the antenna under the condition of a fundamental mode;
(7) selecting a theoretical value l (A) of an antenna OAM mode -q ) Minimum operating frequency f min (A -q ) Calculating theoretical value l (A) of antenna OAM mode N-q ) Minimum operating frequency f min (A N-q )；
(8) And calculating a theoretical value l (A) of the OAM mode of the antenna -q ) And l (A) N-q ) Maximum operating frequency f max (A -q ) And f max (A N-q )；
When N is 2p +1,
when N is 2p +2,
(9) and calculating a theoretical value l (A) of the OAM mode of the antenna -q ) And l (A) N-q ) Of equivalent operating wavelength λ g ；
Wherein c is the speed of light in free space, f is the working frequency in the OAM mode of the antenna, and the value range is [ f [ ] min (A -q ),f max (A -q )]And [ f min (A N-q ),f max (A N-q )]；
Thus, OAM mode l (A) is obtained -q ) And l (A) N-q ) Of equivalent operating wavelength λ g The value range of (a);
(10) calculating the value range of the equivalent average radius of the main radiation ring area of the antenna OAM mode;
wherein, C (A) -q ) And C (A) N-q ) Is OAM mode l (A) -q ) And l (A) N-q ) An equivalent average perimeter of the main radiating ring region;
(11) changing the values of m, p and q, repeating the steps (4) - (10), and calculating all antenna OAM modes l (A) -q ) And l (A) N-q ) Of the main radiation ring area r (a) -q ) And r (A) N-q ) The value range of (a);
(12) selecting the inner and outer radiuses of the metal spiral line as r respectively 0 And r 1 ；
In [ f min (A -q ),f max (A -q )]In the frequency range, r 0 、r 1 Is greater than r (A) -q ) Does not satisfy r (A) at the same time N-q ) The value range of (a);
in [ f min (A N-q ),f max (A N-q )]In the frequency range, r 0 、r 1 Is greater than r (A) N-q ) The value range of (a); (13) establishing a frequency domain far-field monitor in the antenna model, wherein the frequency domain far-field monitor is used for detecting the far-field intensity and phase distribution of the antenna at different frequencies in the simulation process;
(14) simulating the established N-arm Archimedes spiral antenna model to obtain the reflection coefficient S of the antenna 11 And the intensity and the phase distribution of far field distribution, thereby realizing the generation of multiple OAM in a broadband range.
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Application publication date: 20220920 |