CN108803193B - Device for converting intermediate infrared to near infrared based on phase matching between fundamental modes and application - Google Patents

Device for converting intermediate infrared to near infrared based on phase matching between fundamental modes and application Download PDF

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CN108803193B
CN108803193B CN201810350853.6A CN201810350853A CN108803193B CN 108803193 B CN108803193 B CN 108803193B CN 201810350853 A CN201810350853 A CN 201810350853A CN 108803193 B CN108803193 B CN 108803193B
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CN108803193A (en
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黄田野
潘建行
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China University of Geosciences
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    • G—PHYSICS
    • G02—OPTICS
    • G02F—OPTICAL DEVICES OR ARRANGEMENTS FOR THE CONTROL OF LIGHT BY MODIFICATION OF THE OPTICAL PROPERTIES OF THE MEDIA OF THE ELEMENTS INVOLVED THEREIN; NON-LINEAR OPTICS; FREQUENCY-CHANGING OF LIGHT; OPTICAL LOGIC ELEMENTS; OPTICAL ANALOGUE/DIGITAL CONVERTERS
    • G02F1/00—Devices or arrangements for the control of the intensity, colour, phase, polarisation or direction of light arriving from an independent light source, e.g. switching, gating or modulating; Non-linear optics
    • G02F1/35—Non-linear optics
    • G02F1/353—Frequency conversion, i.e. wherein a light beam is generated with frequency components different from those of the incident light beams
    • G02F1/3544—Particular phase matching techniques
    • G—PHYSICS
    • G02—OPTICS
    • G02F—OPTICAL DEVICES OR ARRANGEMENTS FOR THE CONTROL OF LIGHT BY MODIFICATION OF THE OPTICAL PROPERTIES OF THE MEDIA OF THE ELEMENTS INVOLVED THEREIN; NON-LINEAR OPTICS; FREQUENCY-CHANGING OF LIGHT; OPTICAL LOGIC ELEMENTS; OPTICAL ANALOGUE/DIGITAL CONVERTERS
    • G02F1/00—Devices or arrangements for the control of the intensity, colour, phase, polarisation or direction of light arriving from an independent light source, e.g. switching, gating or modulating; Non-linear optics
    • G02F1/35—Non-linear optics
    • G02F1/353—Frequency conversion, i.e. wherein a light beam is generated with frequency components different from those of the incident light beams
    • G—PHYSICS
    • G02—OPTICS
    • G02F—OPTICAL DEVICES OR ARRANGEMENTS FOR THE CONTROL OF LIGHT BY MODIFICATION OF THE OPTICAL PROPERTIES OF THE MEDIA OF THE ELEMENTS INVOLVED THEREIN; NON-LINEAR OPTICS; FREQUENCY-CHANGING OF LIGHT; OPTICAL LOGIC ELEMENTS; OPTICAL ANALOGUE/DIGITAL CONVERTERS
    • G02F1/00—Devices or arrangements for the control of the intensity, colour, phase, polarisation or direction of light arriving from an independent light source, e.g. switching, gating or modulating; Non-linear optics
    • G02F1/35—Non-linear optics
    • G02F1/353—Frequency conversion, i.e. wherein a light beam is generated with frequency components different from those of the incident light beams
    • G02F1/3534—Three-wave interaction, e.g. sum-difference frequency generation
    • G—PHYSICS
    • G02—OPTICS
    • G02F—OPTICAL DEVICES OR ARRANGEMENTS FOR THE CONTROL OF LIGHT BY MODIFICATION OF THE OPTICAL PROPERTIES OF THE MEDIA OF THE ELEMENTS INVOLVED THEREIN; NON-LINEAR OPTICS; FREQUENCY-CHANGING OF LIGHT; OPTICAL LOGIC ELEMENTS; OPTICAL ANALOGUE/DIGITAL CONVERTERS
    • G02F1/00—Devices or arrangements for the control of the intensity, colour, phase, polarisation or direction of light arriving from an independent light source, e.g. switching, gating or modulating; Non-linear optics
    • G02F1/35—Non-linear optics
    • G02F1/353—Frequency conversion, i.e. wherein a light beam is generated with frequency components different from those of the incident light beams
    • G02F1/354—Third or higher harmonic generation

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Abstract

The invention discloses a device for converting mid-infrared to near-infrared based on phase matching between fundamental modes, wherein a wavelength conversion device is a ridge type optical waveguide structure, the ridge type optical waveguide structure comprises a substrate and a strip waveguide, the strip waveguide is positioned on the substrate, the height of the strip waveguide is between 1000-1600nm, the width of the strip waveguide is between 2100-3000nm, the height of the substrate is 2400nm, the substrate is made of chromium oxide, and the strip waveguide is made of a nonlinear organic material. Also includes the preparation method and the application thereof. The invention converts the mid-infrared light field into near-infrared light by meeting the phase matching condition between the fundamental modes, effectively improves the nonlinear coefficient of the coupling term and is beneficial to the process of efficiently generating third harmonic.

Description

Device for converting intermediate infrared to near infrared based on phase matching between fundamental modes and application
Technical Field
The invention relates to the field of nonlinear optics, in particular to a device for converting mid-infrared to near-infrared based on phase matching between fundamental modes and application.
Background
The generation of third harmonic has recently become a research hotspot in recent years due to its wide application in the fields of optical communication, signal processing, imaging, environmental monitoring, biosensing and the like, and has received much attention.
The third harmonic effect in the nonlinear optical waveguide is an effective method for realizing conversion from the intermediate infrared light source to the near infrared light source, the intermediate infrared light source is efficiently converted to the near infrared band through the third harmonic effect, the designed optical waveguide structure needs to simultaneously meet phase matching conditions required by high nonlinear coefficient, lower propagation loss and third harmonic generation, and the coupling between the fundamental modes can effectively improve the mode field overlapping degree of the intermediate infrared band and the near infrared band, so that the nonlinear coefficient of a coupling item is greatly improved. In addition, near-infrared light generated in the third harmonic effect is in a basic mode state, and the control of a light field is facilitated.
Disclosure of Invention
In view of this, the embodiment of the present invention provides a device for converting mid-infrared to near-infrared based on phase matching between fundamental modes, where the wavelength conversion device is a ridge optical waveguide structure, the ridge optical waveguide structure includes a substrate and a stripe waveguide, the stripe waveguide is located above the substrate, the height of the stripe waveguide is between 1000-1600nm, the width of the stripe waveguide is between 2100-3000nm, the height of the substrate is 2400nm, the substrate is made of chromium oxide, and the stripe waveguide is made of a nonlinear organic material.
Further, the light of the intermediate infrared and the near infrared in the ridge type optical waveguide structure meets the phase matching condition of coupling of a fundamental mode, the intermediate infrared light is transmitted in a surface plasmon mode, and the near infrared light is transmitted in a total internal reflection photon mode.
The device for converting mid-infrared to near-infrared based on phase matching between fundamental modes comprises the following steps:
s1, selecting chromium oxide as a material of a substrate, analyzing the change of the dielectric constant of the chromium oxide along with the wavelength, wherein when the wavelength is in a near-infrared band, the real part of the dielectric constant of the chromium oxide is larger than 0, the dielectric characteristic is presented, when the wavelength is increased to a middle-infrared band, the real part of the dielectric constant of the chromium oxide is reduced to a negative value, the metal characteristic is presented, a nonlinear organic material medium is added on the surface of the chromium oxide dielectric constant to be used as a strip waveguide, and the contact surface of the substrate and the strip waveguide is a metal/medium surface;
s2, determining the thickness of the strip waveguide, analyzing the change of the effective refractive indexes of the intermediate infrared and the near infrared along with the change of the width of the strip waveguide, and determining the width at the moment as the width of the strip waveguide, wherein when the effective refractive indexes of the intermediate infrared and the near infrared are equal, the light of the intermediate infrared and the near infrared meets the phase matching condition of the coupling of the fundamental mode.
Further, in step S1, the dielectric constant of the chromium oxide is calculated by the formula:
Figure GDA0002439565670000021
in the formula, the dielectric constant of chromium oxide is expressed, 'and' are respectively the real part and imaginary part of the dielectric constant,∞in order to have a high-frequency dielectric constant,∞＝5.5，ωpis the plasma angular frequency, omega is the optical wave angular frequency, gamma is the damping degree, gamma is 2.92 × 1013rad/s。
Based on the application of the device for converting the mid-infrared light to the near-infrared light in the phase matching between the fundamental modes, the pump light of the mid-infrared light is coupled into the strip waveguide in the form of pulse light, the change of the power of the third harmonic light of the near-infrared light along with the transmission distance is obtained through a nonlinear coupling mode equation, the third harmonic light radiation emitted along the waveguide transmission direction can be superposed in the same phase at the output end under the condition of meeting the phase matching condition of the fundamental mode coupling, the total third harmonic light power output reaches the maximum value, and the efficiency of converting the mid-infrared light into the near-infrared light is the maximum.
Further, the nonlinear coupling mode equation is:
Figure GDA0002439565670000022
Figure GDA0002439565670000023
in the formula: e1，E3Slowly varying amplitudes of the pump light and the third harmonic light, respectively, with respect to the variable z, Δ β1Respectively representing the difference between the group velocities of the pump light and the third harmonic light, β2,1、β2,3Dispersion parameters representing pump light and third harmonic light, respectively, α1、α3Propagation losses, gamma, of pump light and third harmonic light, respectively1、γ13、γ3、γ31Respectively self-phase modulation nonlinear parameter and cross-phase modulation nonlinear parameter of pump light and self-phase modulation nonlinear parameter and cross-phase modulation nonlinear parameter of triple harmonic light, gammap、γTHThe nonlinear parameters are respectively a pump light coupling nonlinear parameter and a third harmonic light coupling nonlinear parameter.
Compared with the prior art, the invention has the following beneficial effects: and converting the optical field of the middle infrared into the near infrared by meeting the phase matching condition between the fundamental modes, wherein the strip waveguide adopts a nonlinear organic material DDMEBT, and the material refractive index of the DDMEBT is 1.7973. The base is made of nonmetal oxide chromium oxide, the refractive index of the chromium oxide is 1.7656, the effective refractive index of a corresponding intermediate infrared band is 1.7118+0.0176i, and the effective refractive index of a near infrared band is 1.7118+0.0015 i. According to the dispersion curve of the chromium oxide material, at the middle infrared part with longer wavelength, the chromium oxide is in a metal property, and the real part of the dielectric constant of the chromium oxide is a negative value; in the near infrared region with a shorter wavelength, chromium oxide has a dielectric property and the real part of its dielectric constant is positive. The property of the chromium oxide material enables phase matching between fundamental modes in the mid-infrared and near-infrared optical fields of the optical waveguide, effectively improves the nonlinear coefficient of the coupling term, and is beneficial to the efficient generation of the third harmonic process.
Drawings
Fig. 1 is a perspective view of a device for converting mid-infrared to near-infrared based on phase matching between fundamental modes according to the present invention.
FIG. 2 is a schematic diagram showing the change of dielectric constant with wavelength of chromium oxide in the example of the present invention.
FIG. 3 is a schematic diagram of the variation of the refractive index of infrared and near infrared light with the waveguide width in an embodiment of the invention.
FIG. 4 is a mode field diagram of the phase matching of the infrared and near infrared optical fields in an embodiment of the present invention.
FIG. 5 is a schematic diagram of the third harmonic variation with propagation distance in an embodiment of the present invention.
Fig. 6 is a schematic representation of the variation of the width of the optical waveguide structure and the third harmonic peak conversion efficiency with the height of the strip waveguide in accordance with the present invention.
Detailed Description
In order to make the objects, technical solutions and advantages of the present invention more apparent, embodiments of the present invention will be further described with reference to the accompanying drawings.
Referring to fig. 1, an embodiment of the present invention provides a device for converting mid-infrared to near-infrared based on phase matching between fundamental modes, where the wavelength conversion device is a ridge optical waveguide structure, the ridge optical waveguide structure includes a substrate 1 and a strip waveguide 2, the strip waveguide 2 is located on the substrate 1, the height of the strip waveguide 2 is between 1000-1600nm, the width of the strip waveguide 2 is between 2100-3000nm, the height of the substrate 1 is 2400nm, the substrate 1 is made of chromium oxide, and the strip waveguide 2 is made of a nonlinear organic material
2-[4dimethylamino)phenyl]-3-{[4-(dimethylamino)phenyl]ethynyl}buta-1,3-diene-1,1,4,4tetracarbonitrile(DDMEBT)。
The light of the intermediate infrared and the near infrared in the ridge type optical waveguide structure meets the phase matching condition of coupling of a fundamental mode, the intermediate infrared light is transmitted in a surface plasmon mode, and the near infrared light is transmitted in a total internal reflection photon mode.
The preparation method of the device comprises the following steps:
s1, selecting chromium oxide as a material of a substrate, analyzing the change of the dielectric constant of the chromium oxide along with the wavelength, wherein when the wavelength is in a near-infrared band, the real part of the dielectric constant of the chromium oxide is larger than 0, the dielectric characteristic is presented, when the wavelength is increased to a middle-infrared band, the real part of the dielectric constant of the chromium oxide is reduced to a negative value, the metal characteristic is presented, a nonlinear organic material medium is added on the surface of the chromium oxide dielectric constant to be used as a strip waveguide, and the contact surface of the substrate and the strip waveguide is a metal/medium surface;
the dielectric constant of chromium oxide is calculated by the formula:
Figure GDA0002439565670000041
in the formula, the dielectric constant of chromium oxide is expressed, 'and' are respectively the real part and imaginary part of the dielectric constant,∞in order to have a high-frequency dielectric constant,∞＝5.5，ωpis the plasma angular frequency, omega is the optical wave angular frequency, gamma is the damping degree, gamma is 2.92 × 1013rad/s, n is electron density, n is 2.8 × 1026E is the electron charge, e is 1.60217657 × 10-19C，meff＝km0Is an electron effective mass, where m0M is the mass of free electrons0＝9.1×10-31kg，k＝0.2，0Is the absolute dielectric constant in vacuum.
S2, determining the thickness of the strip waveguide, analyzing the change of the effective refractive indexes of the intermediate infrared and the near infrared along with the change of the width of the strip waveguide, and determining the width at the moment as the width of the strip waveguide, wherein when the effective refractive indexes of the intermediate infrared and the near infrared are equal, the light of the intermediate infrared and the near infrared meets the phase matching condition of the coupling of the fundamental mode.
Based on the application of the device for converting the mid-infrared light to the near-infrared light in the phase matching between the fundamental modes, the pump light of the mid-infrared light is coupled into the strip waveguide in the form of pulse light, the change of the power of the third harmonic light of the near-infrared light along with the transmission distance is obtained through a nonlinear coupling mode equation, the third harmonic light radiation emitted along the waveguide transmission direction can be superposed in the same phase at the output end under the condition of meeting the phase matching condition of the fundamental mode coupling, the total third harmonic light power output reaches the maximum value, and the efficiency of converting the mid-infrared light into the near-infrared light is the maximum.
The nonlinear coupling mode equation is:
Figure GDA0002439565670000051
Figure GDA0002439565670000052
in the formula: e1，E3Slowly varying amplitudes of the pump light and the third harmonic light, respectively, with respect to the variable z, Δ β1Respectively representing the difference between the group velocities of the pump light and the third harmonic light, β2,1、β2,3Dispersion parameters representing pump light and third harmonic light, respectively, α1、α3Propagation losses, gamma, of pump light and third harmonic light, respectively1、γ13、γ3、γ31Respectively self-phase modulation nonlinear parameter and cross-phase modulation nonlinear parameter of pump light and self-phase modulation nonlinear parameter and cross-phase modulation nonlinear parameter of triple harmonic light, gammap、γTHThe nonlinear parameters are respectively a pump light coupling nonlinear parameter and a third harmonic light coupling nonlinear parameter.
Example 1
Referring to fig. 1, the present invention provides a device for converting mid-infrared to near-infrared based on phase matching between fundamental modes, which includes a strip waveguide 2 and a substrate 1, wherein the strip waveguide 2 is disposed on the substrate 1.
The substrate 1 is made of metal oxide chromium oxide, and the strip waveguide 2 is made of nonlinear organic material DDMEBT.
Referring to fig. 2, which is a graph obtained by a formula in which the dielectric constant of chromium oxide varies with wavelength, it can be seen that the dielectric constant of the material of chromium oxide has unique characteristics in the near infrared to the mid-infrared band, where the real part of the dielectric constant of the material is greater than 0, and then the chromium oxide exhibits dielectric characteristics, while as the wavelength increases to the mid-infrared band, we can see that the real part of the dielectric constant of the chromium oxide material decreases to a negative value, and the chromium oxide exhibits metallic characteristics in the mid-infrared band, so as to generate a surface plasmon mode. Based on the characteristics, the chromium oxide can be used as a base part in the strip waveguide, and a three-order nonlinear material medium is added on the surface of the chromium oxide, so that the contact surface of the chromium oxide and the nonlinear material in the intermediate infrared band can be regarded as a metal/medium surface, and a surface plasma mode is formed on the metal/medium surface; in the near infrared band, the chromium oxide has dielectric characteristics, so that a photon mode is generated in the third-order nonlinear material, the effective refractive indexes of the two modes are the same by adjusting and optimizing the structural parameters of the waveguide, and the phase matching between the fundamental modes can be realized.
The calculation formula of the dielectric constant of the base material chromium oxide is as follows:
Figure GDA0002439565670000061
wherein, the dielectric constant of chromium oxide is expressed, 'and' are respectively a real part and an imaginary part of the dielectric constant,∞is a high frequency dielectric constant, ωpIs the plasma angular frequency, omega is the optical wave angular frequency, gamma is the damping degree, n is the electron density, e is the electron charge, meff＝km0Is an electron effective mass, where m0Is the free electron mass.0Is the absolute dielectric constant in vacuum. Each having a value of∞＝5.5，n＝2.8×1026，e＝1.60217657×10-19C，k＝0.2，m0＝9.1×10-31kg，γ＝2.92×1013rad/s。
Referring to FIG. 3, when the thickness H of the strip waveguide made of DDMEBT material is fixedDWhile, with the width W of the strip waveguideDThe effective refractive index of the pump light in the mid-infrared increases significantly faster than the third harmonic of the near-infrared. When width WDThe effective refractive indices of the two fundamental modes are equal at 2230nm, where the phase matching condition for the third harmonic generation process is satisfied.
Referring to FIG. 4, the width W of the strip waveguide made of DDMEBT materialD2230nm, HD1400nm, wherein the effective refractive indexes of the mid-infrared light with the wavelength of 4650nm and the near-infrared light with the wavelength of 1550nm are 1.7118+0.0176i and 1.7118+0.0015i respectively. It can be seen that when the wavelength is in the mid-infrared band, since the chromium oxide exhibits the metal characteristic at this time, a surface plasmon mode is formed on the surfaces of the chromium oxide and DDMEBT, the field intensity is strongest at the surface, and the field intensity is exponentially attenuated in the Y direction, and as can be seen from the imaginary part of the effective refractive index, the chromium oxide material exhibiting the metal characteristic at this time has a larger negative dielectric constant, thereby bringing about a larger linear propagation loss. In the case of near infrared light having a wavelength of 1550nm, since the chromium oxide exhibits dielectric characteristics and the dielectric constant is positive, the ability to localize the optical field is reduced, and a part of the optical field in the DDMEBT overflows into the chromium oxide substrate.
The generation process of the mid-infrared band third harmonic can be described by the following nonlinear coupling mode equation:
Figure GDA0002439565670000071
Figure GDA0002439565670000072
wherein E1，E3Slowly varying amplitudes of the pump light and the third harmonic light, respectively, with respect to the variable z, Δ β1Respectively representing the difference between the group velocities of the pump light and the third harmonic light, β2,1、β2,3Respectively indicating pumpsDispersion parameters of light and third harmonic light, α1、α3Propagation losses, gamma, of pump light and third harmonic light, respectively1、γ13、γ3、γ31Respectively self-phase modulation nonlinear parameter and cross-phase modulation nonlinear parameter of pump light and self-phase modulation nonlinear parameter and cross-phase modulation nonlinear parameter of triple harmonic light, gammap、γTHRespectively a pump light coupling nonlinear parameter and a third harmonic coupling nonlinear parameter.
Referring to fig. 5, a graph of the power of the third harmonic light obtained by the coupling mode equation as a function of the propagation distance is shown. In this embodiment, the pump light is coupled into the strip waveguide in the form of pulsed light, with a center wavelength of 4.65 μm, a pulse width of 100fs, and a pulse peak power of 100W. Height H of the strip waveguideD1400nm, width WD2230nm, the third harmonic radiation emitted in the propagation direction of the waveguide can be superimposed in phase at the output end with a maximum total third harmonic power output, if phase matching is satisfied, in the initial phase of the third harmonic process, the pump pulse energy rises rapidly because the pump pulse energy is at a maximum and the gain provided by the pump pulse to the third harmonic pulse is at a maximum, whereas the pump wave at 4650nm wavelength has a large negative dielectric constant due to the metallic nature of chromium oxide, the large linear loss causes the pump pulse energy to fall rapidly and cannot provide enough gain for the third harmonic pulse to continue to rise cumulatively, and the third harmonic pulse energy reaches a maximum of 1.72 × 10 when propagating a distance of 34 μm in the waveguide-4。
Referring to fig. 6, which is a graph of the third harmonic conversion efficiency of the width and peak value of the optical waveguide structure with height under the condition of satisfying the phase matching between the fundamental modes, it can be seen that the width of the optical waveguide decreases with the increase of the height, and the third harmonic conversion efficiency at the peak increases first and then decreases with the increase of the height, and the maximum value of the third harmonic conversion efficiency of the optical waveguide is 1.72 × 10 when the width of the optical waveguide is 2230nm and the height of the optical waveguide is 1400nm-4。
The invention provides a waveguide structure based on phase matching between fundamental modes, which mainly utilizes the phase matching between a mid-infrared surface plasmon polariton mode and a near-infrared total internal reflection photon mode to convert mid-infrared pump light into near-infrared third harmonic light, effectively improves the nonlinear coefficient and is beneficial to the high-efficiency conversion of the near-infrared third harmonic light.
In this document, the terms front, back, upper and lower are used to define the components in the drawings and the positions of the components relative to each other, and are used for clarity and convenience of the technical solution. It is to be understood that the use of the directional terms should not be taken to limit the scope of the claims.
The features of the embodiments and embodiments described herein above may be combined with each other without conflict.
The above description is only for the purpose of illustrating the preferred embodiments of the present invention and is not to be construed as limiting the invention, and any modifications, equivalents, improvements and the like that fall within the spirit and principle of the present invention are intended to be included therein.

Claims (5)

1. The device for converting mid-infrared to near-infrared based on phase matching between fundamental modes is a ridge type optical waveguide structure and is characterized in that the ridge type optical waveguide structure comprises a substrate and a strip waveguide, the strip waveguide is positioned on the substrate, the height of the strip waveguide is between 1000-1600nm, the width of the strip waveguide is between 2100-3000nm, the height of the substrate is 2400nm, the substrate is made of chromium oxide, and the strip waveguide is made of a nonlinear organic material;
the strip waveguide is made of a nonlinear organic material 2- [ 4-dimethylamino) phenyl ] -3- { [4- (dimethylamino) phenyl ] ethyl } buta-1,3-diene-1,1,4,4tetra carbonitrile (DDMEBT);
the light of the intermediate infrared and the near infrared in the ridge type optical waveguide structure meets the phase matching condition of coupling of a fundamental mode, the intermediate infrared light is transmitted in a surface plasmon mode, and the near infrared light is transmitted in a total internal reflection photon mode.
2. The device for converting mid-infrared to near-infrared based on phase matching between fundamental modes according to claim 1, wherein the method for preparing the device comprises the steps of:
s1, selecting chromium oxide as a material of a substrate, analyzing the change of the dielectric constant of the chromium oxide along with the wavelength, wherein when the wavelength is in a near-infrared band, the real part of the dielectric constant of the chromium oxide is larger than 0, the dielectric characteristic is presented, when the wavelength is increased to a middle-infrared band, the real part of the dielectric constant of the chromium oxide is reduced to a negative value, the metal characteristic is presented, a nonlinear organic material medium is added on the surface of the chromium oxide dielectric constant to be used as a strip waveguide, and the contact surface of the substrate and the strip waveguide is a metal/medium surface;
s2, determining the thickness of the strip waveguide, analyzing the change of the effective refractive indexes of the intermediate infrared and the near infrared along with the change of the width of the strip waveguide, and determining the width at the moment as the width of the strip waveguide, wherein when the effective refractive indexes of the intermediate infrared and the near infrared are equal, the light of the intermediate infrared and the near infrared meets the phase matching condition of the coupling of the fundamental mode.
3. The device for converting mid-infrared to near-infrared based on fundamental intermodal phase matching as claimed in claim 2, wherein in step S1, the dielectric constant of chromium oxide is calculated by the formula:
Figure FDA0002439565660000011
in the formula, the dielectric constant of chromium oxide is expressed, 'and' are respectively the real part and imaginary part of the dielectric constant,∞in order to have a high-frequency dielectric constant,∞＝5.5，ωpis the plasma angular frequency, omega is the optical wave angular frequency, gamma is the damping degree, gamma is 2.92 × 1013rad/s。
4. The use of the device according to claim 1 for phase-matching conversion of mid-infrared to near-infrared based on fundamental modes, wherein the pump light of mid-infrared is coupled into the strip waveguide in the form of pulsed light, the variation of the power of the third harmonic light of near-infrared with the propagation distance is obtained by a nonlinear coupling mode equation, and the third harmonic light radiation emitted in the propagation direction of the waveguide can be superimposed in phase at the output end under the phase-matching condition satisfying the fundamental mode coupling, and the total third harmonic light power output is maximized, i.e. the efficiency of conversion of mid-infrared to near-infrared is maximized.
5. The use of the device for converting mid-infrared to near-infrared based on fundamental inter-mode phase matching as claimed in claim 4, wherein the nonlinear coupling mode equation is:
Figure FDA0002439565660000021
Figure FDA0002439565660000022
in the formula: e1，E3Slowly varying amplitudes of the pump light and the third harmonic light, respectively, with respect to the variable z, Δ β1Respectively representing the difference between the group velocities of the pump light and the third harmonic light, β2,1、β2,3Dispersion parameters representing pump light and third harmonic light, respectively, α1、α3Propagation losses, gamma, of pump light and third harmonic light, respectively1、γ13、γ3、γ31Respectively self-phase modulation nonlinear parameter and cross-phase modulation nonlinear parameter of pump light and self-phase modulation nonlinear parameter and cross-phase modulation nonlinear parameter of triple harmonic light, gammap、γTHThe nonlinear parameters are respectively a pump light coupling nonlinear parameter and a third harmonic light coupling nonlinear parameter.
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Germanium-on-Silicon Waveguide Engineering for Third Harmonic Generation in the Mid-Infrared;Francesco De Leonardis etc.;《JOURNAL OF LIGHTWAVE TECHNOLOGY》;20151029;第33卷(第24期);全文 *

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