CN109739028B - Large-aperture bicolor acousto-optic tunable filter - Google Patents
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Abstract
The invention belongs to the technical field of photoelectrons, and particularly relates to a large-aperture bicolor acousto-optic tunable filter; the adjustable filter comprises a tellurium oxide crystal, the tellurium oxide is a hexagonal prism, the side surface of the hexagonal prism comprises a first sound passing surface, a second sound passing surface, a first sound absorbing surface, a second sound absorbing surface, a light incident surface and a light emergent surface; the light incident surface is positioned between the first sound passing surface and the first sound absorbing surface, and the light emergent surface is positioned between the second sound passing surface and the second sound absorbing surface; a first bonding layer, a first transducer and a first surface electrode are sequentially arranged in the vertical direction of the first sound-passing surface, and a second bonding layer, a second transducer and a second surface electrode are sequentially arranged in the vertical direction of the second sound-passing surface; by adopting the large-aperture bicolor acousto-optic tunable filter, incident o light and incident e light can simultaneously obtain a large aperture angle; finally, the sensitivity of the whole system is higher, the imaging is clearer, and the spectral analysis is more accurate.
Description
Technical Field
The invention belongs to the technical field of photoelectrons, and particularly relates to a large-aperture bicolor Acousto-optic Tunable Filter (AOTF) for spectral imaging and spectral analysis.
Background
In 1974, zhang hou shi of an organization, inc (i.c. chang) produced the first non-collinear large aperture angle acousto-optic tunable filter by using the theory of "tangent plane parallel momentum matching condition". The non-collinear acousto-optic tunable filter has the advantages of large incident aperture angle, small volume, high scanning speed, wide tuning range, high height, good environmental adaptability and the like, so that the non-collinear acousto-optic tunable filter has wide application in the fields of spectral imaging, rapid spectral analysis and the like.
The larger the aperture angle of the acousto-optic tunable filter is, the more light energy of acousto-optic interaction of incident light and ultrasonic waves is, the more diffracted light is filtered out, the higher the sensitivity of the whole system is, the clearer the imaging is, and the more accurate the spectral analysis is.
The acousto-optic medium of the acousto-optic tunable filter with the large aperture angle mainly adopts tellurium oxide crystals. The tellurium oxide crystal is a birefringent crystal whose refractive indices of o-light and e-light are different. When designing the large-aperture-angle acousto-optic tunable filter, for the same incident polar angle theta, the optimal ultrasonic polar angle required by incident o light is theta, the optimal ultrasonic polar angle required by incident e light is theta, and theta are different, and the difference is mainly caused by the fact that the refractive indexes of o light and e light are different (the large-aperture-angle acousto-optic tunable filter cannot be manufactured by crystals with the same refractive index of o light and e light).
Common acousto-optic tunable filters with large aperture angles are designed for incident e light, and a series of calculation formulas of the acousto-optic tunable filters with the large aperture angles for the incident e light are derived by people: an ultrasonic polar angle formula, an aperture angle formula, a frequency-wavelength relational expression and the like, and a calculation formula of the acousto-optic tunable filter with the large aperture angle of the emitted light is not introduced.
When an acousto-optic tunable filter is required to filter incident o light and incident e light simultaneously (bicolor filtering), the same ultrasonic polar angle theta is adopted at present, and the incident o light and the incident e light are not designed respectively, so that the advantage is simple process, and the defect is that the incident o light and the incident e light cannot obtain a large aperture angle simultaneously. Experiments show that if the incident o light and the incident e light adopt the same ultrasonic polar angle, only one incident light (the incident o light or the incident e light) can obtain a large aperture angle (set as gamma), and the aperture angle of the other incident light can only reach half of the gamma.
Disclosure of Invention
Aiming at the defects in the prior art, the invention provides the large-aperture bicolor acousto-optic tunable filter which can enable incident o light and incident e light to obtain a large aperture angle simultaneously.
In order to achieve the purpose, the technical scheme adopted by the invention is as follows:
a large-aperture bicolor acousto-optic tunable filter comprises a tellurium oxide crystal 1, wherein the tellurium oxide crystal 1 is a hexagonal prism, and the side surface of the hexagonal prism comprises a first sound passing surface 5, a second sound passing surface 12, a first sound absorbing surface 2, a second sound absorbing surface 9, a light-in surface 4 and a light-out surface 11; the light incident surface 4 is positioned between the first sound transmission surface 5 and the first sound absorption surface 2, and the light emergent surface 11 is positioned between the second sound transmission surface 12 and the second sound absorption surface 9; a first bonding layer 8, a first transducer 7 and a first surface electrode 6 are sequentially arranged in the vertical direction of the first sound-passing surface 5, and a second bonding layer 13, a second transducer 14 and a second surface electrode 15 are sequentially arranged in the vertical direction of the second sound-passing surface 12; wherein, the first bonding layer 8 is directly connected with the first sound-passing surface 5; the second bonding layer 13 is directly connected to the second sound-passing surface 12.
Further, the tunable filter further includes an incident light path therein, the incident light path is perpendicular to the light incident surface 4, and the incident o light and the incident e light share the incident light path; respectively emitting incident e light and incident o light from the incident light path; calculating the optimal ultrasonic polar angle theta required by the incident e lighteAnd the optimal ultrasound polar angle theta required for incident o-lighto(ii) a The incident o light and the second ultrasonic wave 10 generate diffraction e light through acousto-optic interaction; the incident e light and the first ultrasonic wave 3 generate diffraction o light through acousto-optic interaction; respectively determining the horizontal aperture angle and the vertical aperture angle of the incident e light and the incident o light; wherein the incident light path is parallel to the first optical axis [001 ]]The included angle between is thetaiI.e. polar angle of incidence thetai。
Preferably, the forming of the first ultrasonic wave 3 comprises inputting a radio frequency signal RF1 to a first transducer 7 through a first watch electrode 6, the first transducer 7 converting the radio frequency signal RF1 into ultrasonic vibration and transmitting the ultrasonic vibration into the tellurium oxide crystal 1, thereby forming the first ultrasonic wave 3 in the tellurium oxide crystal 1; the forming of the second ultrasonic wave 10 includes inputting the radio frequency signal RF2 to the second transducer 14 through the second counter electrode 15, and the second transducer 14 converts the radio frequency signal RF2 into ultrasonic vibration and transmits the ultrasonic vibration into the tellurium oxide crystal 1, thereby forming the second ultrasonic wave 10 in the tellurium oxide crystal 1.
Further, the first sound passing surface 5 and the second sound passing surface 12 are not parallel, and the included angle β satisfies the formula β ═ θe-θoL, wherein θeRepresents the optimal ultrasound polar angle required for the incident e-light, i.e. the normal to the first sound-passing surface 5 and the first optical axis [001 ]]The included angle between them; thetaoRepresents the optimal ultrasound polar angle required for incident o-light, i.e. the normal to the second sound-passing surface 12 and the first optical axis [001 ]]The included angle therebetween. Thus, the tellurium oxide crystal is a non-regular hexagonal prism.
Further, the calculation formula of the optimal ultrasonic polar angle required by the incident e light comprisesniDenotes the refractive index, n, of incident e-light within the tellurium oxide crystal 1oDenotes the refractive index of o light, α, in the tellurium oxide crystal 11Indicating the angle formed by the incident e-light and the diffracted o-light in the tellurium oxide crystal 1.
Further, the horizontal aperture angle Δ θ of the incident e-lighteAnd vertical aperture angle Δ ΦeRespectively satisfy the following formulas:
wherein λ is0Expressed as the wavelength of light, L as the acousto-optic interaction length, and Δ n as the refractive index n of o light within the tellurium oxide crystal 1oAnd an anomalous e optical refractive index neThe difference between them.
Further, the calculation formula of the optimal ultrasonic polar angle required by the incident o light comprisesndRepresents the refractive index of diffracted e-light within the tellurium oxide crystal 1; alpha is alpha2Representing the included angle between the incident o light and the diffracted e light in the tellurium oxide crystal 1; n isoThe refractive index of o light in the tellurium oxide crystal 1 is shown.
Further, the horizontal aperture angle Δ θ of the incident o lightoAnd vertical aperture angle Δ ΦoSatisfies the formula:
wherein λ is0Expressed as a wavelength of light; l represents the acousto-optic interaction length; delta n is the refractive index n of o light in the tellurium oxide crystal 1oAnd an anomalous e optical refractive index neThe difference between the two; v is the speed of the ultrasonic wave in the tellurium oxide crystal 1; f represents the input radio frequency signal frequency; the formula for calculating σ is:
specifically, the incident o light and the incident e light share one optical path for incidence, and the incident o light and the incident e light adopt the same polar angle theta of incidencei. The two sound-passing surfaces of the tellurium oxide crystal are not parallel: the second sonotrode angle of one sound-passing, i.e. the second, ultrasonic face is θoThe optical fiber is specially designed for incident o light and can meet the requirement of large aperture angle of the incident o light; the first sonotrode angle of the other sound-passing face, i.e. the first sonotrode face, is θeThe device is specially designed for the incident e light and can meet the requirement of the incident e light on a large aperture angle.
The invention designs and manufactures transducers on two sound passing surfaces of the tellurium oxide crystal respectively, and the ultrasonic polar angle is thetaoThe thickness of the transducer on the sound passing surface is set to LoUltrasonic polar angle of thetaeThe thickness of the transducer on the sound passing surface is set to Le. Thickness L of the two transducersoAnd LeMay or may not be the same. The thickness of the transducer is the same, and the filtering ranges of incident o light and incident e light are the same; the thickness of the transducer is different, so that the filtering ranges of incident o light and incident e light are different, and the incident o light and the incident e light can respectively work in any section from visible light to medium wave range.
Compared with the prior art, the invention has the following beneficial effects:
1. in the invention, the incident o light and the incident e light share one light path for incidence, thereby facilitating the light path design and the use;
2. the two sound-passing surfaces of the tellurium oxide crystal are not parallel: one is designed specifically for incident o-light (with an ultrasonic polar angle of theta)o) And the other is specially designed for incident e-light (with an ultrasonic polar angle theta)e) Both incident o light and incident e light can meet the requirement of a large aperture angle;
3. the transducers are designed and manufactured on the two sound-passing surfaces of the tellurium oxide crystal respectively, and the thickness of the transducers can be controlled independently. When the thicknesses of the two transducers are the same, the filtering ranges of incident o light and incident e light are the same; if the thicknesses of the transducers are different, the filtering ranges of incident o light and incident e light are different, and the transducers can be designed respectively according to requirements.
Drawings
FIG. 1 is a schematic diagram of the main structure of the present invention;
in the figure, 1, a tellurium oxide crystal, 2, a first sound absorption surface, 3, a first ultrasonic wave, 4, a light incoming surface, 5, a first sound passing surface, 6, a first surface electrode, 7, a first transducer, 8, a first bonding layer, 9, a second sound absorption surface, 10, a second ultrasonic wave, 11, a light outgoing surface, 12, a second sound passing surface, 13, a second bonding layer, 14, a second transducer, 15 and a second surface electrode.
Detailed Description
In order to make the objects, technical solutions and advantages of the present invention more clearly and completely apparent, the technical solutions in the embodiments of the present invention are described below with reference to the accompanying drawings, and it is obvious that the described embodiments are only a part of the embodiments of the present invention, and not all of the embodiments.
Example 1
As shown in fig. 1, the large-aperture bicolor acousto-optic tunable filter of the present invention includes a tellurium oxide crystal 1, where the tellurium oxide crystal 1 is a hexagonal prism, and the side surface of the hexagonal prism includes a first sound-passing surface 5 and a second sound-passing surface 12, a first sound-absorbing surface 2 and a second sound-absorbing surface 9, and a light-incident surface 4 and a light-emitting surface 11; the light incident surface 4 is positioned between the first sound transmission surface 5 and the first sound absorption surface 2, and the light emergent surface 11 is positioned between the second sound transmission surface 12 and the second sound absorption surface 9; a first bonding layer 8, a first transducer 7 and a first surface electrode 6 are sequentially arranged in the vertical direction of the first sound-passing surface 5, and a second bonding layer 13, a second transducer 14 and a second surface electrode 15 are sequentially arranged in the vertical direction of the second sound-passing surface 12; wherein, the first bonding layer 8 is directly connected with the first sound-passing surface 5; the second bonding layer 13 is directly connected to the second sound-passing surface 12.
It can be understood that the bonding layers of the invention are all attached to the sound-transmitting surface, the bonding layer is arranged on the other surface of the sound-transmitting surface, the transducer is arranged above the bonding layer, and the surface electrode is arranged on the transducer.
The invention is provided with a first bonding layer 8 on a first sound-passing surface 5, and a first transducer 7 and a first surface electrode 6 are sequentially arranged above the first bonding layer 8. A second bonding layer 13 is provided on the second sound-passing surface 12, and a second transducer 14 and a second surface electrode 15 are provided in this order above the second bonding layer 13.
Wherein, radio frequency signal RF1 is input to the first transducer 7 through the first meter electrode 6, the first transducer 7 converts the radio frequency signal RF1 into ultrasonic vibration and transmits the ultrasonic vibration into the tellurium oxide crystal 1, thereby forming a first ultrasonic wave 3 in the tellurium oxide crystal 1; the radio frequency signal RF2 is input to the second transducer 14 through the second watch electrode 15, and the second transducer 14 converts the radio frequency signal RF2 into ultrasonic vibration and transmits the ultrasonic vibration into the tellurium oxide crystal 1, so that the second ultrasonic wave 10 is formed in the tellurium oxide crystal 1.
Incident o-light and incident e-light are incident with a common optical path, and are incident on the first optical axis [001 ]]The included angle between is thetai(i.e., polar angle of incidence θ)i) And is perpendicular to the light incident surface 4; in FIG. 1 [110 ]]Denoted as second optical axis [110 ]]。
Normal to the first sound passing surface 5 and the optical axis [001 ]]The included angle between is thetae(i.e., first sonotrode angle θ)e),θeSatisfying formula (1), the error is less than 3'.
(1) In the formula, niIs the refractive index of incident e-light within the tellurium oxide crystal 1, noIs the refractive index of o light within the tellurium oxide crystal 1, including diffracted o light and incident o light; when the o light propagates in the crystal, the refractive index of the o light is fixed and unchanged no matter which direction the o light faces; alpha is the included angle between the incident e light and the diffracted o light in the tellurium oxide crystal 1. The diffracted o light is generated by acousto-optic interaction of the incident e light and the first ultrasonic wave 3. At this time, the horizontal aperture angle Delta theta of the incident e-lighteAnd vertical aperture angle Δ ΦeSatisfies the formula:
(2) in formulae (3) and (2), λ0Is the wavelength of light, L is the acousto-optic interaction length, Δ n is the refractive index n of o light in the tellurium oxide crystal 1oAnd an anomalous e optical refractive index neThe difference between them.
Normal to the second sound-passing surface 12 and the optical axis [001 ]]The included angle between is thetao(i.e., ultrasonic polar angle θ)o),θoThe formula is satisfied, and the error is less than 3'.
(4) In the formula, ndIs the refractive index of the diffracted e-ray in the tellurium oxide crystal 1, the diffracted e-ray is generated by the acousto-optic interaction of the incident o-ray and the second ultrasonic wave 10, and alpha is the included angle of the incident o-ray and the diffracted e-ray in the tellurium oxide crystal 1. At this time, the horizontal aperture angle Delta theta of the incident o lightoAnd vertical aperture angle Δ ΦoSatisfies the formula:
(5) in the formula:
(6) wherein V is the speed of the ultrasonic wave in the tellurium oxide crystal 1. The first sound-passing surface 5 and the second sound-passing surface 12 are not parallel, and the included angle between the first sound-passing surface and the second sound-passing surface is beta, wherein the beta satisfies the formula:
β=|θe-θo| (8)
wherein, the expressions (1), (2), (3), (4), (5) and (6) are derived according to the theory of 'tangent plane parallel momentum matching condition', (1) the incident e light meets the requirement of large aperture angle, and (4) the incident o light meets the requirement of large aperture angle. (2) The formulas (5) and (6) are the horizontal and vertical aperture angles obtained for incident o light energy.
Incident o-filtered light wavelength lambda under conditions that satisfy large aperture angles0The relationship with the input radio frequency signal frequency f is as follows:
the thickness of the transducer on the first sound passing surface 5 is set to LeThe thickness of the transducer on the second sound-passing surface 12 is set to Lo. Thickness L of the two transducersoAnd LeMay or may not be the same. If the thicknesses of the two transducers are the same, the filtering ranges of incident o light and incident e light are the same; if the thicknesses of the two transducers are different, the filtering ranges of the incident o light and the incident e light are different, and the incident o light and the incident e light can be set by a person skilled in the art according to needs to respectively work in any section from the visible light to the medium wave range.
In operation, a radio frequency signal RF1 is input to the first transducer 7 via the first watch electrode 6, and the first transducer 7 converts the radio frequency signal RF1 into ultrasonic vibrations that are transmitted into the tellurium oxide crystal 1. A first ultrasonic wave 3 is formed within the tellurium oxide crystal 1. Incident e-light acousto-optically interacts with the first ultrasonic wave 3 to produce diffracted o-light. The wavelengths of the diffracted o-lights are in a one-to-one relationship with the frequency of the radio frequency signal RF1, i.e., a radio frequency signal of one frequency filters out diffracted o-lights of one wavelength. Due to the first ultrasonic polar angle thetaeThe theory of 'tangent plane parallel momentum matching condition' is satisfied, so that incident e light in a large aperture angle range can generate acousto-optic interaction with the first ultrasonic wave 3 to generate diffraction o light, and the energy of the incident e light can be fully utilized to obtain the diffraction o light with maximum energy.
For the same reason, radio frequency signalsRF2 is input to the second transducer 14 via the second watch electrode 15, and the second transducer 14 converts the radio frequency signal RF2 into ultrasonic vibrations that are transmitted into the tellurium oxide crystal 1. A second ultrasonic wave 10 is formed within the tellurium oxide crystal 1. The incident o light acousto-optically interacts with the second ultrasonic wave 10 to produce diffracted e light. The wavelength of the diffracted e-light has a one-to-one correspondence with the frequency of the RF signal RF2, i.e., an RF signal of one frequency filters out diffracted e-light of one wavelength. Due to the second ultrasonic polar angle thetaoThe theory of 'tangent plane parallel momentum matching condition' is satisfied, so that incident o light in a large aperture angle range can generate acousto-optic interaction with the second ultrasonic wave 10 to generate diffracted e light, and the energy of the incident o light can be fully utilized to obtain the diffracted e light with maximum energy.
Example 2
On the basis of the embodiment 1, the present embodiment further describes the present invention by combining specific parameters, in which the incident polar angle θ isiTaking 20 degrees, according to the formula (1), the optimal ultrasonic polar angle theta required by the incident e lighteIs 98.6 °; the optimal ultrasound polar angle θ required for incident o-rays according to equation (2)oIs 99.6. The included angle beta between the sound transmission surface 5 and the sound transmission surface 12 is 1 degree.
Transducer thickness L on the first sound passing surface 5e20 microns, an operating frequency range of 83MHz to 157MHz, a wavelength range corresponding to filtering out incident e-light of 0.75 to 0.45 microns, a corresponding horizontal aperture angle of 7.7 to 5.9 ° (an interaction length L of 3.5mm), and a corresponding vertical aperture angle of 9.8 to 7.5 ° (an interaction length L of 3.5 mm). Transducer thickness L on sound passing surface 12o131.5 micrometers, an operating frequency range of 14.6MHz to 21.9MHz, a wavelength range corresponding to filtering out incident o-light of 4.5 micrometers to 3 micrometers, a corresponding horizontal aperture angle of 7.2 ° to 5.9 ° (an interaction length L of 25mm), and a corresponding vertical aperture angle of 9 ° to 7.3 ° (an interaction length L of 25 mm).
Obviously, by adopting the new design, the incident e light and the incident o light both obtain a large aperture angle, and the problem that only one incident light (the incident e light or the incident o light) obtains the large aperture angle is solved.
Those skilled in the art will appreciate that all or part of the steps in the methods of the above embodiments may be implemented by instructions associated with hardware via a program, which may be stored in a computer-readable storage medium, and the storage medium may include: ROM, RAM, magnetic or optical disks, and the like.
The above-mentioned embodiments, which further illustrate the objects, technical solutions and advantages of the present invention, should be understood that the above-mentioned embodiments are only preferred embodiments of the present invention, and should not be construed as limiting the present invention, and any modifications, equivalents, improvements, etc. made within the spirit and principle of the present invention should be included in the protection scope of the present invention.
Claims (6)
1. A large-aperture bicolor acousto-optic tunable filter comprises a tellurium oxide crystal (1), wherein the tellurium oxide crystal (1) is a hexagonal prism, the side surface of the hexagonal prism comprises a first sound passing surface (5) and a second sound passing surface (12), a first sound absorbing surface (2) and a second sound absorbing surface (9), a light incident surface (4) and a light emergent surface (11); the light incident surface (4) is positioned between the first sound passing surface (5) and the first sound absorbing surface (2), and the light emergent surface (11) is positioned between the second sound passing surface (12) and the second sound absorbing surface (9);
the adjustable optical filter is characterized by further comprising an incident light path, wherein the incident light path is vertical to the light incident surface (4), and incident o light and incident e light share the incident light path; respectively emitting incident e light and incident o light from the incident light path; calculating the optimal ultrasonic polar angle theta required by the incident e lighteAnd the optimal ultrasound polar angle theta required for incident o-lighto(ii) a The incident o light and the second ultrasonic wave (10) generate diffraction e light through acousto-optic interaction; the incident e light and the first ultrasonic wave (3) generate diffraction o light through acousto-optic interaction; respectively determining the horizontal aperture angle and the vertical aperture angle of the incident e light and the incident o light; wherein the included angle between the incident light path and the first optical axis is thetaiI.e. polar angle of incidence thetai;
A first bonding layer (8), a first transducer (7) and a first surface electrode (6) are sequentially arranged in the vertical direction of the first sound-passing surface (5), and a second bonding layer (13), a second transducer (14) and a second surface electrode (15) are arranged in the vertical direction of the second sound-passing surface (12); wherein the first bonding layer (8) is directly connected with the first sound-through surface (5); the second bonding layer (13) is directly connected with the second sound-through surface (12);
the first sound passing surface (5) and the second sound passing surface (12) are not parallel, and an included angle beta of the first sound passing surface and the second sound passing surface satisfies the formula beta | [ theta ]e-θoL, wherein θeThe optimal ultrasonic polar angle required by the incident e light is shown, namely the included angle between the normal of the first sound transmission surface (5) and the first optical axis; thetaoThe optimal ultrasonic polar angle required by incident o light is shown, namely the included angle between the normal of the second sound passing surface (12) and the first optical axis.
2. A large aperture bicolor acousto-optic tunable filter according to claim 1 characterized in that the formation of the first ultrasonic wave (3) comprises inputting a radio frequency signal RF1 to the first transducer (7) through the first watch electrode (6), the first transducer (7) converting the radio frequency signal RF1 into ultrasonic vibrations which are transmitted into the tellurium oxide crystal (1) to form the first ultrasonic wave (3) within the tellurium oxide crystal (1); the forming of the second ultrasonic wave (10) comprises inputting the radio frequency signal RF2 to a second transducer (14) through a second watch electrode (15), and the second transducer (14) converts the radio frequency signal RF2 into ultrasonic vibration and transmits the ultrasonic vibration to the tellurium oxide crystal (1), so that the second ultrasonic wave (10) is formed in the tellurium oxide crystal (1).
3. The large-aperture bicolor acousto-optic tunable filter according to either one of claims 1 or 2, wherein the formula for calculating the optimal ultrasound polar angle required for the incident e-ray comprises:
wherein n isiDenotes the refractive index, n, of incident e-light within the tellurium oxide crystal (1)oThe refractive index of o light in the tellurium oxide crystal (1) is shown, and the included angle between an incident light path and a first optical axis is thetai,α1Represents the included angle formed by the incident e light and the diffracted o light in the tellurium oxide crystal (1).
4. A large aperture bi-color acousto-optic tunable filter according to claim 3, characterised in that the horizontal aperture angle Δ θ of the incident e-lighteAnd vertical aperture angle Δ ΦeRespectively satisfy the following formulas:
wherein λ is0Expressed as the wavelength of light, L expressed as the acousto-optic interaction length, and Δ n expressed as the refractive index n of o light in the tellurium oxide crystal (1)oAnd an anomalous e optical refractive index neThe difference between them.
5. A large aperture bicolor acousto-optic tunable filter according to claim 2, wherein the calculation formula of the optimal sonotrode angle required for the incident o light includes:
wherein n isdRepresents the refractive index of diffracted e-light in the tellurium oxide crystal (1); alpha is alpha2Representing the included angle of incident o light and diffracted e light in the tellurium oxide crystal (1); n isoRepresents the refractive index of o light in the tellurium oxide crystal (1); the included angle between the incident light path and the first optical axis is thetai。
6. A large aperture bi-color acousto-optic tunable filter according to claim 5, characterised in that the horizontal aperture angle Δ θ of the incident o lightoAnd vertical aperture angle Δ ΦoSatisfies the formula:
wherein λ is0Expressed as a wavelength of light; l represents the acousto-optic interaction length; delta n is the refractive index n of o light in the tellurium oxide crystal (1)oAnd an anomalous e optical refractive index neThe difference between the two; v is the speed of the ultrasonic wave in the tellurium oxide crystal (1); f represents the input radio frequency signal frequency; the calculation formula of sigma is expressed as
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