CN106099263B - A kind of THz wave filter based on forbidden band interaction - Google Patents
A kind of THz wave filter based on forbidden band interaction Download PDFInfo
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- CN106099263B CN106099263B CN201610356591.5A CN201610356591A CN106099263B CN 106099263 B CN106099263 B CN 106099263B CN 201610356591 A CN201610356591 A CN 201610356591A CN 106099263 B CN106099263 B CN 106099263B
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- H—ELECTRICITY
- H01—ELECTRIC ELEMENTS
- H01P—WAVEGUIDES; RESONATORS, LINES, OR OTHER DEVICES OF THE WAVEGUIDE TYPE
- H01P1/00—Auxiliary devices
- H01P1/20—Frequency-selective devices, e.g. filters
Abstract
The invention belongs to THz wave science and technology fields, and in particular to a kind of THz wave filter based on forbidden band interaction.Based on the THz wave filter of forbidden band interaction, by two kinds of cylindrical metal waveguides, waveguide A and waveguide B, waveguide A and waveguide B are all based on Prague resonance, and waveguide A is different with the dead-center position of the B second order mode of waveguide.The present invention is based on a kind of novel filtering principle, the optical systems of no complexity.The incident directionless requirement of THz wave, filter are two-way available.High Out-of-band rejection.The centre frequency of filter can be changed by parameter designing.Filter construction is simple, easy to process.
Description
Technical field
The invention belongs to THz wave science and technology fields, and in particular to a kind of THz wave based on forbidden band interaction
Filter.
Background technique
In recent years, the development of the development of series of new techniques, new material, especially ultrafast laser technique, so that Terahertz
Wave (THz) technology causes the extensive concern of people in many application fields.Since THz wave has perspectivity, transient state, broadband property
The good characteristics such as (0.1THz~10THz) and low energy (its energy is only 4.1meV, is 1/the 108 of X-ray), so that
THz wave is led in broadband connections, radar, electronic countermeasure, ELECTROMAGNETIC WEAPON, astronomy, medical imaging, non-destructive testing, safety inspection etc.
There is very wide application prospect in domain.Present people are directed generally to both direction to the research of THz wave technology, first is that performance
Excellent THz wave radiation source, the other is efficiently, the research of the passive device of low-loss.The progress of THz wave main device is direct
Affect the application of THz wave technology.Especially in the application such as wireless high-speed communications, bio-sensing, Molecular Detection and accurate measurement,
Compact small and exquisite THz wave device is most important for the system integration.Therefore, to scale in wavelength magnitude, compact small and exquisite and be easy to
The research of integrated THz wave energy type waveguide device has important scientific meaning and practical application value.
Summary of the invention
The purpose of the present invention is to provide a kind of efficient, low-loss THz wave filtering based on forbidden band interaction
Device.
The object of the present invention is achieved like this:
Based on the THz wave filter of forbidden band interaction, by two kinds of cylindrical metal waveguides, waveguide A and waveguide B, wave
It leads A and waveguide B and is all based on Prague resonance, waveguide A is different with the dead-center position of the B second order mode of waveguide.
The number of cycles of the waveguide A and waveguide B is 6, and two kinds of waveguides are periodic structure unit, each periodic relief
Variation refers to that inside pipe wall is made of the adjacent cricoid relief fabric of bumps, and bulge loop is referred to as tubule, and concave ring is known as extra heavy pipe, and tubule is thick
Length of tube is mutually all the half of cycle length Λ, and periodic relief parameter ε=0.1R, capillary inside diameter is R- ε, and extra heavy pipe internal diameter is R+ ε,
R is mean radius.
The waveguide pipe wall material is low-loss metal.
The cycle length Λ meets
Dispersion curve are as follows:
Wherein, c is the light velocity, and f is the centre frequency of transmission spectrum, and p is pth rank transverse mode,For pth rank Bessel function
Zero point,R is the average interior of period variable cross-section waveguide
Diameter, Λ are the cycle lengths of waveguide, and β is propagation constant, and n is the order of Bragg resonance, the value of n is 0,1,2,3 ....
The mean radius R of the centre frequency f=1THz, Bragg waveguide A1=190.7 μm, cycle length Λ1=
182.1 μm, waveguide periodic relief parameter ε=0.1R, tubule radius is 171.63 μm, and extra heavy pipe radius is 209.77 μm, Prague
The mean radius R of waveguide B2=224.26 μm, waveguide cycle length Λ2=155 μm, waveguide periodic relief parameter ε=0.1R, i.e.,
Tubule radius is 139.5 μm, and extra heavy pipe radius is 170.5 μm, and waveguide A and waveguide B all have 5 periods, and THz wave is incident from two sides.
The beneficial effects of the present invention are:
1, a kind of novel filtering principle, the optical system of no complexity.
2, the incident directionless requirement of THz wave, filter are two-way available.
3, high Out-of-band rejection.
4, the centre frequency of filter can be changed by parameter designing.
5, filter construction is simple, easy to process.
Detailed description of the invention
Fig. 1 is waveguide junction composition.
Fig. 2 is Bragg waveguide A periodic unit schematic diagram.
Fig. 3 is Bragg waveguide B periodic unit schematic diagram.
Fig. 4 is two kinds of Bragg waveguide dispersion curves.
Fig. 5 is the transmission spectral line of filter.
Fig. 6 is the axial field strength distribution under filter centre frequency.
Specific embodiment
Present invention specific implementation case is described in detail below according to attached drawing.
The present invention provides a kind of terahertz filter based on forbidden band interaction, comprising: Bragg waveguide (A) and Bradley
Lattice wave is led (B), and two waveguides are cylindrical metal acoustic waveguide, and two waveguides are integrally formed, and the period is all 6.Two kinds of waveguides are according to institute
If centre frequency can generate frequency domain forbidden band, two waveguides are connected, strong locally resonant occurs in the junction of waveguide, generate one
A local area mode, energy cause the energy of junction much higher than entrance in junction accumulation, and the energy of accumulation is propagated to outlet, by
In decaying of the waveguide to THz, slowly drop to the comparable stage of inlet THz intensity of wave, to realize the filter of high transmittance
Wave, this novel filtering circle can be widely applied to the research of THz sonic wave guide type device.Frequency filtering of the present invention is adjustable, and
Has many advantages, such as broadband, high Out-of-band rejection can be widely used in THz system.
It is a kind of cylindrical metal waveguide based on the THz wave filter of forbidden band interaction.See Figure of description 1,
(both AB link together, and form a composite waveguide for two kinds of waveguides.
Two waveguides (AB) are all based on Prague resonance, and difference is that the dead-center position of second order mode is different.It resonates in Prague
Interaction between model identical, is shown in Figure of description 4 (a), and single order Prague occurs in shaded side and resonates, the zero of second order mode
Point is located at below l (1,1) and l (1, -1) intersection point, Figure of description 4 (b), and single order Prague equally occurs in shaded side and resonates,
The intersection point of the zero point of second order mode and l (1,1) and l (1, -1) are overlapped.Prague resonance causes bands of a spectrum to be broken, and generates frequency forbidden band,
Forbidden band range is controllable, and in the present invention, the centre frequency of two kinds of waveguide designs is identical.Due to the interaction between forbidden band,
Locally resonant occurs for junction, shows as occurring a transmission peaks in forbidden band, generates a high-order mould field along radius distribution.
See Figure of description 1, two waveguide number of cycles are 6.See the period knot that Figure of description 2 and 3 is two kinds of waveguides
Structure unit, the variation of each periodic relief refer to that inside pipe wall is made of the adjacent cricoid relief fabric of bumps, and bulge loop is referred to as thin
Pipe, concave ring are known as extra heavy pipe, and tubule extra heavy pipe length is mutually all the half of cycle length Λ, periodic relief parameter ε=0.1R, in tubule
Diameter is R- ε, and extra heavy pipe internal diameter is R+ ε, and R is mean radius.
Waveguide pipe wall material is low-loss metal, such as silver, aluminium or gold.
The mean radius and cycle length of the two Bragg waveguides are variable, by changing period size and mean radius etc.
Parameter can change the centre frequency of filtering.
Dash area is metal pipe-wall in Fig. 1.A, B are all Bragg waveguide.
Λ 1 is the cycle length of Bragg waveguide A in Fig. 2;R1 is the mean inside diameter of Bragg waveguide A;ε is periodic relief
Parameter takes ε=0.1R.
Λ 2 is the cycle length of Bragg waveguide B in Fig. 3;R2 is Bragg waveguide B mean inside diameter;ε is periodic relief ginseng
Number, takes ε=0.1R.
As shown in figure 4, the centre frequency of two waveguides is all 1THz, shaded side is forbidden band location, it can be seen that forbidden band
Range is suitable.The interaction that Prague is resonated between same lateral mode, i.e. l (0,1) and l (1, ± 1).Two kinds of waveguide sections
It is not that the zero point of second order mode is different, sees Fig. 4 (a) (b) black line, frequency is different where zero point.
Transmission peaks are located at 0.9627THz in Fig. 5.
Fig. 6 can see, and strong locally resonant occur in waveguide junction, energy is accumulated in junction, by waveguide B
Decaying, reach out eloquence with very high transmission peaks.
The present invention provides a kind of THz wave derived type filter, see that Figure of description 1 is waveguide assembling figure.Overall structure
It is made of a Bragg waveguide (AB), two waveguides are cylindrical metal waveguides, and number of cycles is respectively 6.See 2 He of Figure of description
3 be the periodic structure unit of two kinds of Bragg waveguides, and the variation of each periodic relief refers to that inside pipe wall is cricoid by adjacent bumps
Relief fabric is constituted, and bulge loop is referred to as tubule, and concave ring is extra heavy pipe, and the tubule extra heavy pipe length in each period is mutually all cycle length Λ
Half, periodic relief parameter ε=0.1R, capillary inside diameter be R- ε, extra heavy pipe internal diameter be R+ ε, R is mean radius.Two kinds of waveguide cloth
The centre frequency of glug resonance is identical, and difference is both the dead-center position of second order mode is different, this causes mean radius and week
Difference in phase length.
See Figure of description 4 (a), shaded side occurs the resonance of single order Prague, sees Figure of description 4 (b), same in shaded side
The resonance of single order Prague occurs for sample.The working frequency for setting filter first, according to dispersion curveIt can be in the hope of cycle length Λ;It can be in the hope of flat according to the zero point of First-Order Mode
Equal radius R, the parameter of available in this way Bragg waveguide and non-Bragg waveguide.
For such filtering method based on the interaction between the forbidden band of Prague, they have different Resonance Mechanisms.Work as work
When working frequency is less than the cutoff frequency of second order mode, high-order mode is not excited, and basic mode is only existed in waveguide, sets at this moment First-Order Mode
Longitudinal wave number be k, due to the reflection of periodic relief structure is generated in incident First-Order Mode opposite direction one longitudinal wave number for-
The First-Order Mode of k.When the two wave numbers absolute value sum equal to waveguide wave number when will occur Prague resonance, be one
Interaction between rank mould.Prague resonance will lead to band splitting, form frequency domain forbidden band.
See that Figure of description 4 (a) (b) is Bragg waveguide and non-Bragg waveguide dispersion curve.As figure gives the period
The dispersion curve (dotted line) of first Brillouin-Zone internal schema in waveguide, solid line are reference line l (p, n), represent n-th order space harmonics
P-th of mode.Fig. 4 (a), shadow region indicate Prague forbidden band, the Resonant Interaction between same lateral mode, so that
Frequency spectrum division, generates Prague forbidden band near 1THz;The shadow region Fig. 4 (b) equally indicates Prague forbidden band, and difference is two
The zero point of rank mould and l (1,1) and l (1, -1) intersect, and are to generate non-Prague taboo near 1THz equally for three mode resonance point
Band.It will be apparent that the point of intersection in reference line l (p, n) occurs for Prague resonance.When incident wave frequency rate is at resonance, due to
Forbidden band is generated in reference line point of intersection band splitting, electromagnetic wave cannot be propagated in the waveguide in relevant frequencies range.Generally speaking,
The overlapping of different transverse mode dispersion curves, can cause complicated Resonant Interaction in multimode waveguide.According to dispersion curve, I
Can have an adjustable parameter of periodic waveguide by controlling and change range and the position of this passband-forbidden band, thus
Realize the control to wherein communication mode.
When two Bragg waveguides are connected, local area mode is had in junction and is generated, shows as generating one in forbidden band
A transmission peaks achieve the effect that filtering with this.
Period variable cross-section fluctuating waveguiding structure parameter resonance mechanism as described above based on Prague resonance provides, and dispersion is bent
Line such as following formula:
Wherein, c is the light velocity, and f is the centre frequency of transmission spectrum, and p is pth rank transverse mode,For pth rank Bessel letter
Several zero points,R is the average interior of period variable cross-section waveguide
Diameter, Λ are the cycle lengths of waveguide, and β is propagation constant, and n is the order of Bragg resonance, and the value of n is 0,1,2,3 ....
If Fig. 4 sets centre frequency f=1THz, the mean radius R of Bragg waveguide A is acquired according to dispersion curve at this time1
=190.7 μm, cycle length Λ1=182.1 μm, waveguide periodic relief parameter ε=0.1R, i.e. tubule radius are 171.63 μm,
Extra heavy pipe radius is 209.77 μm.The mean radius R of Bragg waveguide B at this time2=224.26 μm, waveguide cycle length Λ2=155 μ
M, waveguide periodic relief parameter ε=0.1R, i.e. tubule radius are 139.5 μm, and extra heavy pipe radius is 170.5 μm.Such as attached drawing 1, Bradley
Lattice wave, which leads (A) and Bragg waveguide (B), all 5 periods.THz wave all can be incident from two sides.
Waveguide parameter determines, Fig. 5 is numerical simulation as a result, there are a transmission peaks at forbidden band center, thus can be with
Realize the function of filtering.By adjusting the center frequency of adjustable the filtered out Terahertz of size of two periodic waveguides
Rate achievees the purpose that tunable.
Embodiment described above is merely to illustrate the present invention, wherein the structure of each component, connection type, size etc. all may be used
With what is become, all same transformation and improvement carried out based on the technical solution of the present invention should not be excluded in this hair
In bright protection scope.
Claims (1)
1. a kind of THz wave filter based on forbidden band interaction, there are two types of cylindrical metal waveguide, waveguide A and waveguide B,
It is characterized by: waveguide A and waveguide B are all based on Prague resonance, waveguide A is different with the dead-center position of the B second order mode of waveguide;
The number of cycles of the waveguide A and waveguide B is 6, and two kinds of waveguides are periodic structure unit, the variation of each periodic relief
Refer to that inside pipe wall is made of the adjacent cricoid relief fabric of bumps, bulge loop is referred to as tubule, and concave ring is known as extra heavy pipe, and tubule extra heavy pipe is long
Degree is mutually all the half of cycle length Λ, and periodic relief parameter ε=0.1R, capillary inside diameter is R- ε, and extra heavy pipe internal diameter is R+ ε, and R is
Mean radius;
The waveguide pipe wall material is low-loss metal;
The cycle length Λ meets
Dispersion curve are as follows:
Wherein, c is the light velocity, and f is the centre frequency of transmission spectrum, and p is pth rank transverse mode,It is the zero of pth rank Bessel function
Point,Λ is the cycle length of waveguide, and β is propagation constant,
N is the order of Bragg resonance, the value of n is 0,1,2,3 ...;
The mean radius R of the centre frequency f=1THz, Bragg waveguide A1=190.7 μm, cycle length Λ1=182.1 μ
M, waveguide periodic relief parameter ε=0.1R, tubule radius are 171.63 μm, and extra heavy pipe radius is 209.77 μm, Bragg waveguide B's
Mean radius R2=224.26 μm, waveguide cycle length Λ2=155 μm, waveguide periodic relief parameter ε=0.1R, i.e. tubule radius
It is 139.5 μm, extra heavy pipe radius is 170.5 μm, and THz wave is incident from two sides.
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CN107959482B (en) * | 2017-11-15 | 2021-05-11 | 哈尔滨工程大学 | Audio comb filter with adjustable channel number |
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