CN1588138A - Channel passband relative position independently regulatable one-passband two-channel filter - Google Patents

Channel passband relative position independently regulatable one-passband two-channel filter Download PDF

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CN1588138A
CN1588138A CN 200410067276 CN200410067276A CN1588138A CN 1588138 A CN1588138 A CN 1588138A CN 200410067276 CN200410067276 CN 200410067276 CN 200410067276 A CN200410067276 A CN 200410067276A CN 1588138 A CN1588138 A CN 1588138A
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passband
channel
passage
hclh
relative position
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CN100373186C (en
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田国勋
吴永刚
王占山
林小燕
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Tongji University
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Tongji University
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Abstract

The invention provides a design method that can independently regulate the relative position of a pass band and two channels in a channel pass-band light filtering piece, adopting a triple-symmetrical structure based on Fabry-Perot etalon. It is different from traditional narrow-band light filtering piece in regulating independently the positions of a pass band and two channels by changing the thickness of several middle layers, respectively, and thus overcomes the position coherence phenomenon caused by the position regulation of the channel and pass band. It introduces the concrete structural design of the light filtering piece as well as the calculated spectrum characteristic of the one-channel two-pass band light filtering piece. It can be applied in the fields of optical detecting apparatus, space technique and so on.

Description

A passband two channel filters that the channel passband relative position can independently be adjusted
Technical field
The present invention relates to a kind of optical filter designs method, be specifically related to a kind of design of channel passband filter.At aspects such as optical instrument, astronomy, remote sensing application prospect is arranged.
Background technology
Traditional hyperchannel bandpass filter generally has following two kinds:
1, based on the hyperchannel bandpass filter of Fabry-Perot etalon
Most typical hyperchannel bandpass filter is a Fabry---Perot etalon structure.This optical filter is a symmetrical structure, two ends are the reflection horizon, the centre is a wall, repeatedly reflection through the reflection horizon, by appropriately choosing the physical thickness of wall, this structure can obtain having the bandpass filter that hyperchannel sees through characteristic, but because all there is relation the position of all passages with the thickness of this wall, the change in location of these passages is concerned with.Therefore, can't go out the adjustable optical filter of passage relative position with this structural design.Developing the disymmetry structure that the Fabry-Perot etalon on this basis adjusts with the independent of position of realizing two passages.
2, the hyperchannel bandpass filter of Rugate type
From design point of view, perhaps the hyperchannel bandpass filter of the Rugate type of continuous refractive index structures is arranged is the most attracting, because the Rugate optical filter has perfect mathematic(al) manipulation form.But because the medium that the hyperchannel bandpass filter of the type is adopted requires to be the gradually changed refractive index material, although therefore can design in theory, be coated with technical, more much more difficult than multilayered medium hyperchannel bandpass filter.
People such as S.John in 1987 and E.Yablonovitch have proposed the notion of photonic crystal respectively.Because 1-D photon crystal structurally is similar to the optical multilayer deielectric-coating, therefore from the angle of photonic crystal, by the formation mechanism to 1-D photon crystal spectrum, the electromagnet mode density in the 1-D photon crystal and the analysis and the research of photon state density have formed many new technology.In 1-D photon crystal, cause the variation of photon state density in the crystal behind the insertion defect layer, changed the forbidden band characteristic of 1-D photon crystal, and can in forbidden photon band, form passage.On this basis, people such as Wang Li studies the heterostructure of 1-D photon crystal.The material of two kinds of differing dielectric constants is formed the 1-D photon crystal with different lattice constants, form by the coupling of defect layer and have the heterostructure of doping, and utilize the band gap characteristics of heterostructure to obtain wide rejection zone.Because the modulation that impurity can be with heterostructure, so can in wide rejection zone, obtain two narrow passbands by mixing.It has overcome the shortcoming that the traditional narrow optical filter can not obtain narrow-band-filter at a cut-off bandwidth.And, on the background of broad stopband, obtain more seeing through passage by adjusting the position and the size of defect layer.
An advantage that adopts photonic crystal conceptual design narrow band pass filter is a design effort wave band in advance.Reason is that photonic crystal has " scaling invariance ", if only change grating constant, and it is constant to keep other parameters, and then the overall shape of the band structure of photonic crystal does not change, and just sees through the peak position at peak and the position of rejection zone corresponding moving taken place.
Heterostructure based on the hyperchannel bandpass filter of Fabry-Perot etalon and above-mentioned 1-D photon crystal is difficult to the independent relative position of adjusting each passage, thereby has limited the range of application of binary channels and multi-channel filter.
Summary of the invention
The object of the present invention is to provide a kind of two passages of a passband that both had, can independently adjust the channel passband filter of each passage and passband position again.
The adjustable channel passband filter of relative position that the present invention proposes is a kind of brand-new method for designing based on Fabry---Perot etalon structure, and it utilizes three symmetrical structures to realize on the basis of Fabry---Perot etalon structure.
In the Fabry---Perot etalon structure, if the admittance of wall both sides medium is identical, then transmissivity T is:
T = T 1 T 2 ( 1 - R 1 R 2 ) 2 1 1 + 4 R 1 R 2 ( 1 - R 1 R 2 ) sin 2 1 2 ( φ 1 + φ 2 - 2 δ ) - - ( 1 )
T wherein 1, T 2, R 1, R 2Be respectively the transmissivity and the reflectivity of selected rete both sides, φ 1, φ 2, be respectively the reflection phase shift of two reflective coatings.
By formula (1) as can be known, if the T of two reflective coatings 1, T 2, R 1, R 2With reflection phase shift φ 1, φ 2Constant, at this moment the amount that can change is the significance bit phase thickness of selected rete δ ( δ = 2 π λ nd ) .
Work as φ 1+ φ 2During-2 δ=2k π (k=± 1,2,3) (2), the transmissivity T that whole film is reaches maximal value:
By Fabry---Perot etalon structure we as can be seen, in this symmetrical structure, the insertion of wall has caused the variation of photon state density and electromagnetism mode in the photonic crystal, the repeatedly reflection in the reflection horizon of its both sides and form passage.This shows that a symmetrical structure just can form an independently passage series, the number of passage and position change with the variation in thickness of wall.It is contemplated that will realize the independent adjustment of passage and passband position, we will realize with three symmetrical structures.This is a kind of method for designing that is different from traditional binary channels band pass filter fully.
Based on this design philosophy, we have adopted the material of two kinds of differing dielectric constants have been formed the optical filter with disymmetry structure.As shown in Figure 1, wherein: H, L are respectively 1/4 wavelength optical thickness of high low-index material, H=n Hd H=L=n Ld L=λ/4, n L=1.44, n H=2.3 are respectively the refractive index of two kinds of materials; d H, d LBe respectively the physical thickness of two kind materials corresponding with 1/4 wavelength optical thickness.At first constitute two Fabry---Perot optical filter symmetrical structures by high low-index material, form a new symmetrical structure again by these two structures then, this structure is called the disymmetry structure.Three symmetrical structures are exactly on disymmetric basis, with coupling layer two identical disymmetry structures are coupled, and two disymmetry structures form new symmetrical structure about the coupling layer symmetry, are referred to as three symmetrical structures.Adjust the thickness in seven middle layers in three symmetrical structures, can change the relative position of passage and passband in the optical filter transmission spectrum.Wherein the thickness in the middle layer of two Fabry---Perot symmetrical structures is cH, be referred to as middle layer c, the thickness in the middle layer between two Fabry----Perot structures is dL, is referred to as middle layer d, the coupling layer thickness of two disymmetry structures is eL, is referred to as the e layer.The thickness of adjusting c, d and e layer respectively just can be adjusted the position of three passages independently.This film system can be optimized by adding the coupling rete.
Among the present invention, the material of two kinds of differing dielectric constants can be selected SiO for use 2And TiO 2Deng.
The present invention is an a kind of passband two passage narrow-band-filter devices that adopt full dielectric structure.It adopts three symmetrical structures based on the Fabry---Perot etalon, realizes that the independence of a passband and two channel positions changes continuously; By adjusting the thickness of middle layer c, d and e, can make the independent variation continuously in position of a passband and two passages respectively, suitably adjust the thickness in middle layer, can obtain passband and channel position independence continually varying 1-D photon crystal.
Description of drawings
Fig. 1 is the channel position of Fabry-Perot structure of the present invention and the relation of defect layer thickness.
Fig. 2 a is the disymmetry structural representation based on the Fabry-Perot structure of the present invention, and Fig. 2 b is three symmetrical structure synoptic diagram based on the Fabry-Perot structure of the present invention.
The passage of the triple channel bandpass filter when Fig. 3 changes for c=1.5L, d=0.2L in three symmetrical structures of the present invention fix e changes.
The passage of the binary channels bandpass filter when Fig. 4 changes for c=1.5L, e=0.8L in three symmetrical structures of the present invention fix d changes.
The passage of the binary channels bandpass filter when Fig. 5 changes for d=0.4L, e=0.8L in three symmetrical structures of the present invention fix c changes.
Fig. 6 be in three symmetrical structures of the present invention in the time of c, d and e alternate, the position of passage takes place alternately to move.
Embodiment
By seeing among Fig. 1, along with the increase of middle layer c thickness, channel position moves to the long wave direction.Yet the relative spacing between the passage is identical all the time, can't change.
In Fig. 3, along with e is increased to 0.8L by 0.5L, the passage on the right moves to 716.26nm by 684.89nm, yet the passage on the left side and passband keep motionless substantially in original position all the time.
Among Fig. 4, along with d is increased to 0.4L by 0.15L, middle passage moves to 670.19nm by 631.11nm, yet the passage on the passband in left side and right side keeps motionless substantially in original position all the time.
Among Fig. 5, along with c is increased to 1.9L by 1.5L, the passage on right side moves to 583.66nm by 546.99nm, yet two passages on the left side keep motionless substantially in original position all the time.
Among Fig. 6, begun by c=1.5L, d=0.2L, e=0.5L, c, d and e alternately increase, up to c=1.6L, d=0.4L, e=0.8L.As seen from the figure, change a parameter, can control one of them passage, and and do not influence the position of another one passage substantially.
The passband channel position design of optical filter and the concrete grammar of adjusting are as follows:
Design the binary channels optical filter of three symmetrical structures, at first according to the position of required rejection zone, the size of determining grating constant is the thickness in monolayer of the reflection membrane stack of Fabry-Perot spacing structure layer both sides.With the example that is designed to shown in Figure 3, in this design, design wavelength is 600nm, and the film layer structure of optical filter is (HL) 3HcLH (LH) 3DL (HL) 3HcLH (LH) 3EL (HL) 3HcLH (LH) 3DL (HL) 3HcLH (LH) 31/2cL, wherein c, d and e show the thickness in middle layer, and Fig. 2 b is seen in c layer, d layer and the e layer position in film system.The size of c, d and e again according to the position of needed three passages, is determined after determining in the rejection zone position; Determine passband 1 earlier, by calculating (HL) 3HcLH (LH) 3The reflection phase shift of reflection horizon, the wall both sides passband 1 place wavelength of structure is tried to achieve the size of c by formula (2).Determine using the same method of passage 2 with passage 3, but the object difference of being calculated when calculating reflection phase shift, by calculating (HL) 3HcLH (LH) 3DL (HL) 3HcLH (LH) 3The reflection horizon, wall both sides of structure is in the reflection phase shift of passage 2 place wavelength, and substitution formula (2) is tried to achieve the size of d, thereby can determine the position of passage 2.By calculating (HL) 3HcLH (LH) 3DL (HL) 3HcLH (LH) 3EL (HL) 3HcLH (LH) 3DL (HL) 3HcLH (LH) 3The reflection horizon, wall both sides of structure is in the reflection phase shift of passage 3 place wavelength, and the size of trying to achieve e by formula (2) is determined the position of passage 3.Can be found that by computer simulation the position of passband 1 is mainly decided by the size of c, the position of passage 2 is mainly decided by the size of d, and the size that the position of passage 3 mainly contains the e layer decides, and the position of passband and passage can change continuously.Because calculate for simplifying when calculating c and d, calculating object is (HL) 3HcLH (LH) 3DL (HL) 3HcLH (LH) 3With the Fabry-Perot structure but not whole disymmetry film system.Therefore can adjust c and e layer on computers, the position of passband 1 and passage 2 and design are coincide.The thickness of all retes of design is all definite, and material therefor can be chosen according to physical condition.That we choose is TiO 2, SiO 2, incident medium is air ε=1.TiO 2, SiO 2The medium of forming utilizes transfer matrix method to being impurity, by adjusting position, the size of wall, obtains having the optical filter of required channel parameters.
The design's characteristics are exactly that the position of a passband and two passages is controlled by three parameter c, d and three parameters of e, and the position can independent variation.
1, adjust the position of passage 3 under the situation of passband 1 and passage 2 invariant positions:
Following analog computation design wavelength lambda is 600nm, is (HL) with structure all 3HcLH (LH) 3DL (HL) 3HcLH (LH) 3EL (HL) 3HcLH (LH) 3DL (HL) 3HcLH (LH) 3The 1-D photon crystal of 1/2L is an example, and the position of passband 1 and passage 2 does not change substantially when c and d determine, and the position of passage 3 changes continuously with the change of e.As c=1.5, d=0.2, e equals 0.5,0.6,0.7,0.8 respectively, the time, the variation of channel position is as shown in Figure 3.
2, adjust the position of passage 2 under the situation of passband 1 and passage 3 invariant positions:
The position of passband 1 and passage 3 does not change when c and e determine, and the position of passage 2 changes continuously with the change of d.As c=1.5, e=0.8, when d equaled 0.15,0.2,0.25,0.3,0.35,0.4 respectively, the variation of channel position as shown in Figure 4.
3, adjust the position of passband 1 under the situation of passage 2 and passage 3 invariant positions:
Passage 2 and 3 position do not change when d and e determine, and the position of passband 1 changes continuously with the change of c.As d=0.4, e=0.8, c equals 1.5,1.6,1.7,1.8,1.9 respectively, the time, the variation of passband position is as shown in Figure 5.
4, passband passage alternate:
In the time of c, d and e alternate, the position of passband or passage takes place alternately to move, and is example with Fig. 6, is begun by c=1.5L, d=0.2L, e=0.5L, and c, d and e alternately increase, up to c=1.6L, d=0.4L, e=0.8L.Change a parameter, can control one of them passband or passage, and and do not influence the position of another one passband or passage substantially.
5, last what design, if find passband or passage minor shifts being arranged, can utilize computer simulation that c, d and the fine setting of e layer thickness are revised, mainly is by the key-course of skew passband or passage being finely tuned to revise channel position, key-course as passband 1 is the c layer, by that analogy.

Claims (3)

1, a passband two channel filters that can independently adjust of a kind of passage and passband relative position is characterized in that:
The dura mater based material of film is TiO 2And SiO 2Combination, the structure of component film system is three symmetrical structures based on the Fabry-Perot structure, structure is: (HL) 3HcLH (LH) 3DL (HL) 3HcLH (LH) 3EL (HL) 3HcLH (LH) 3DL (HL) 3HcLH (LH) 31/2cL
2, a passband two channel filters that can independently adjust of channel passband relative position according to claim 1 is characterized in that:
The position of passband and passage is controlled by c, d and three parameters of e, can independent variation.
3, a passband two channel filters that can independently adjust of channel passband relative position according to claim 1 is characterized in that:
The position of passband and passage can utilize computer simulation that c, d and e layer thickness are finely tuned correction.
CNB2004100672768A 2004-10-19 2004-10-19 Channel passband relative position independently regulatable one-passband two-channel filter Expired - Fee Related CN100373186C (en)

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Cited By (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN100385265C (en) * 2005-09-14 2008-04-30 同济大学 Two-dimensional double-channel optical-filter capalbe of tuning channel relative position
CN100385266C (en) * 2005-09-14 2008-04-30 同济大学 Two-dimensional pass band channel filter capable of tuning relative position
CN100446449C (en) * 2005-06-03 2008-12-24 中山大学 Comb type wave filter

Family Cites Families (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US6611378B1 (en) * 2001-12-20 2003-08-26 Semrock, Inc. Thin-film interference filter with quarter-wavelength unit sub-layers arranged in a generalized pattern
US6850366B2 (en) * 2002-10-09 2005-02-01 Jds Uniphase Corporation Multi-cavity optical filter

Cited By (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN100446449C (en) * 2005-06-03 2008-12-24 中山大学 Comb type wave filter
CN100385265C (en) * 2005-09-14 2008-04-30 同济大学 Two-dimensional double-channel optical-filter capalbe of tuning channel relative position
CN100385266C (en) * 2005-09-14 2008-04-30 同济大学 Two-dimensional pass band channel filter capable of tuning relative position

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