Electro-optic modulator modeling method, system, storage medium, and electronic device

Abstract

The present disclosure relates to an electro-optical modulator modeling method, system, storage medium and electronic device, the electro-optical modulator modeling method comprises a Mach-Zehnder electro-optical modulator (MZM) modeling method based on numerical analysis description, the MZM is realized based on MZI interference structure, and the electro-optical modulation is realized by using electro-optical effect and double waveguide interference.

Description

TECHNICAL FIELD

[0001] The present disclosure relates to the technical field of electro-optical modulator modeling, and in particular to an electro-optical modulator modeling method, system, storage medium and electronic device. BACKGROUND

[0002] In the field of optoelectronic device modeling, existing technologies often struggle to strike a balance between accuracy and efficiency. Traditional modeling methods, such as detailed models based on physics, can provide high accuracy but are computationally complex and time-consuming, making them difficult to meet the needs of system-level simulation. Some simplified models, such as behavioral models, are computationally efficient but have limitations in describing the nonlinear characteristics and noise of devices, and are not accurate enough.

[0003] Specifically, for the modeling of Mach-Zehnder electro-optical modulators (MZM), linear models cannot accurately describe the nonlinear characteristics, while accurate nonlinear models are often too complex to be applied in practical system simulation.

[0004] To solve the above problems, some researchers have attempted to use equivalent circuit models for device modeling. Equivalent circuit models can simplify the complexity of devices to some extent and improve computational efficiency. However, how to accurately extract the parameters of equivalent circuit models and how to ensure the applicability of the model under different working conditions are still challenging problems. In addition, existing equivalent circuit models may only focus on the electrical characteristics of the device, ignoring its optical characteristics, making it difficult to meet the needs of electro-optical modulator simulation. SUMMARY

[0005] Therefore, the purpose of the present disclosure is to provide an electro-optical modulator modeling method.

[0006] To achieve the above purpose, the present disclosure adopts the following technical solutions:

[0007] An electro-optical modulator modeling method, characterized in that,

[0008] The electro-optical modulator modeling method includes a Mach-Zehnder electro-optical modulator (MZM) modeling method based on numerical analysis description. The MZM is implemented based on MZI interference structure and utilizes electro-optical effect and double waveguide interference to realize electro-optical modulation.

[0009] Preferably,

[0010] The input signal of the MZM can be characterized as:

[0011]

[0012] wherein is the laser power, is the correction coefficient between power and amplitude, is the laser angular frequency, is the initial phase.

[0013] Preferably,

[0014] is the initial phase. is 0.

[0015] Preferably,

[0016] The optical signal will be divided into two beams of equal power and same frequency and phase by the first coupler when entering the MZM, is the modulator insertion loss, and after phase delay, the two optical signals can be expressed as:

[0017]

[0018] wherein, and are the phase delays of the two paths respectively.

[0019] Preferably,

[0020] After interference, the intensity of the output optical signal of the MZM can be expressed as:

[0021]

[0022] wherein, is the phase difference between the two optical signals.

[0023] Preferably,

[0024] When the MZM only works in the linear region, the output field can be expressed as:

[0025]

[0026] wherein, α is the insertion loss, is the RF signal voltage, and C is the chirp coefficient.

[0027] Preferably,

[0028] The accurate model of the MZM is:

[0029]

[0030] wherein is the laser power, is the correction coefficient between power and amplitude, is the laser angular frequency, is the modulator insertion loss, is the DC bias voltage, is the DC half-wave voltage of the modulator, is the RF signal voltage of the modulator, is a half-wave voltage of the modulator, is an imaginary unit, is an angular frequency of the modulator.

[0031] To achieve the above object, the present disclosure also adopts the following technical solutions:

[0032] An electro-optical modulator modeling system comprises a mathematical model module for constructing an analytical description, and can execute the electro-optical modulator modeling method described above.

[0033] To achieve the above object, the present disclosure also adopts the following technical solutions:

[0034] A computer readable storage medium, having stored thereon a computer program,

[0035] The program, when executed by a processor, implements the electro-optical modulator modeling method described above.

[0036] To achieve the above object, the present disclosure also adopts the following technical solutions:

[0037] An electronic device comprises a memory, a processor, and a computer program stored on the memory and executable on the processor,

[0038] The processor, when executing the computer program, implements the electro-optical modulator modeling method described above.

[0039] The technical solutions claimed in the present disclosure have the following beneficial effects:

[0040] The scheme in the present disclosure aims to realize accurate cross-domain modeling of electro-optical modulators by adopting a bottom-layer model data structure covering multi-domain parameters, and combining multiple methods such as analytical model construction, equivalent circuit model parameter extraction, and noise equivalent circuit method. This method can improve the efficiency of modeling and simulation while ensuring the accuracy of the model, thereby better meeting the needs of optoelectronic system design and simulation. BRIEF DESCRIPTION OF DRAWINGS

[0041] To more clearly illustrate the technical solutions in the embodiments of the present disclosure, the drawings needed in the embodiment description will be briefly introduced. Obviously, the drawings in the following description are only embodiments of the present disclosure, and other drawings can be obtained by those skilled in the art without creative labor on the basis of the provided drawings.

[0042] Figure 1 FIG. 1 is a structural schematic diagram of a Mach-Zehnder electro-optical modulator (MZM) of the present disclosure. DETAILED DESCRIPTION

[0043] To make the purposes, technical solutions, and beneficial effects of the embodiments of the present disclosure clearer, the technical solutions in the embodiments of the present disclosure will be described clearly and completely below with reference to the drawings in the embodiments of the present disclosure. Obviously, the described embodiments are only some but not all of the embodiments of the present disclosure. Based on the embodiments in the present disclosure, all other embodiments obtained by a person of ordinary skill in the art without creative work fall within the protection scope of the present disclosure.

[0044] Embodiment 1

[0045] The embodiments of the present disclosure include an electro-optical modulator modeling method, including analytical description-based mathematical / mathematical model construction, equivalent circuit model parameter extraction technology, and noise equivalent circuit method. To meet the simulation requirements from device to link, first, based on the physical model of the device, the working characteristics and working conditions are combined for abstraction and simplification to obtain a mathematical or numerical model based on analytical description; the equivalent circuit model extraction technology is used to realize the extraction of compact model parameters required by the upper link simulation from the physical field simulation results of the device design link; the noise equivalent circuit method is used to introduce the model description of various noises to improve the accuracy of the compact model of the electro-optical modulator. Among them, the equivalent circuit method (including key device parameter extraction and noise modeling) is the key to realize the order reduction from the device physical model to the high-precision compact model.

[0046] Embodiment 2

[0047] The embodiments of the present disclosure disclose a Mach-Zehnder electro-optical modulator modeling method based on numerical analytical description. When modeling the electro-optical modulator, the present disclosure is based on physical principles, combined with certain assumptions and simplifications of its working characteristics, to construct a mathematical model based on analytical description.

[0048] Figure 1 The structure diagram of the Mach-Zehnder electro-optical modulator (MZM). The MZM is realized based on the Mach-Zehnder interferometer (MZI) interference structure, and the electro-optical modulation is realized by using the electro-optical effect and the double-waveguide interference. When the optical signal enters the MZM, it is divided into two paths, and then coupled after modulation. The input signal of the MZM can be represented as:

[0049]

[0050] wherein P is the laser power, is the correction coefficient between power and amplitude, is the laser angular frequency, is the initial phase (generally taken as 0). The optical signal will be divided into two beams of equal power and same frequency and phase when entering the MZM.

[0051] ​For the insertion loss of the modulator, the two optical signals can be represented as:

[0052]

[0053] After phase delay, the two optical signals can be represented as:

[0054]

[0055] wherein, and are the phase delays of the two arms respectively. After interference, the output optical signal intensity of the MZM can be represented as:

[0056]

[0057] wherein, is the phase difference of the two optical signals.

[0058] If the MZM only works in the linear region, then the output field of the MZM can be represented as:

[0059]

[0060] wherein, α is the insertion loss, is the voltage of the radio frequency signal, and C is the chirp coefficient. is the modulation curve in the linear region, which can be represented as:

[0061]

[0062] wherein S represents the transmission ratio. However, the MZM model described by the formula is only applicable to modulation in the linear region, and when the applied input electrical signal exceeds the linear region, the output optical signal obtained thereby is not accurate, especially for the third-order intermodulation effect. In order to solve this problem, the influence of the half-wave voltage and the bias voltage of the MZM needs to be considered. When the two arms are completely symmetrical and the inherent phase difference is zero, the corresponding output optical signal is:

[0063]

[0064] Suppose that in the formula wherein is the working point position corresponding to the loaded direct current bias voltage, and Vπ is the direct current half-wave voltage of the modulator; the phase shift caused by the radio frequency signal is , is the half-wave voltage of the modulator, is the optical insertion loss of the modulator. Thus, the accurate model of the MZM is further obtained as

[0065]

[0066] wherein P is the laser power, is the correction coefficient between power and amplitude, is the laser angular frequency, and θ0 is the initial phase (usually taken as 0), is the modulator insertion loss, is the DC bias voltage, is the DC half-wave voltage of the modulator, is the RF signal voltage of the modulator, is the half-wave voltage of the modulator, is the imaginary unit, is the modulator angular frequency.

[0067] Embodiment 3

[0068] An electro-optical modulator modeling system, comprising:

[0069] A noise equivalent circuit module is constructed, which can perform the functions related to constructing a noise equivalent circuit in the above embodiments.

[0070] Embodiment 4

[0071] A computer readable storage medium having stored thereon a computer program,

[0072] The program is executed by a processor to implement the electro-optical modulator modeling method described above.

[0073] Embodiment 5

[0074] An electronic device, comprising a memory, a processor, and a computer program stored on the memory and executable on the processor,

[0075] The processor executes the computer program to implement the electro-optical modulator modeling method described above.

[0076] The above-described embodiments are merely exemplary descriptions of the present disclosure, and do not limit the scope of the present disclosure. Without departing from the design spirit of the present disclosure, various modifications and improvements to the technical solutions of the present disclosure made by those of ordinary skill in the art shall fall within the scope of protection of the present disclosure.

Claims

1. A method for modeling electro-optical modulator, characterized in that, the method for modeling electro-optical modulator comprises a method for modeling Mach-Zehnder electro-optical modulator based on numerical analytical description, the Mach-Zehnder electro-optical modulator is realized based on Mach-Zehnder interferometer interference structure, and the electro-optical modulation is realized by using electro-optical effect and double waveguide interference; the accurate model of the Mach-Zehnder electro-optical modulator is: wherein P is the laser power, is a correction factor between power and amplitude, is the laser angular frequency, is the modulator insertion loss, is the DC bias voltage, is the DC half-wave voltage of the modulator, is the RF signal voltage of the modulator, is the half-wave voltage of the modulator, is the imaginary unit, is the modulator angular frequency.

2. The method for modeling electro-optical modulator according to claim 1, characterized in that, the input signal of the Mach-Zehnder electro-optical modulator is represented as: wherein is the laser power, is a correction factor between power and amplitude, is the laser angular frequency, is the initial phase.

3. The method for modeling electro-optical modulator according to claim 2, characterized in that, the initial phase is 0.

4. The method for modeling electro-optical modulator according to claim 3, characterized in that, The optical signal is divided into two beams of equal power and same frequency and phase by the first coupler when entering the Mach-Zehnder electro-optical modulator, For the insertion loss of the modulator, after phase delay, the two optical signals are represented as: wherein and two-path phase delay, respectively.

5. The method for modeling electro-optical modulator according to claim 4, characterized in that, after interference, the output optical signal intensity of the Mach-Zehnder electro-optical modulator is represented as: wherein is the phase difference of the two optical signals.

6. The method for modeling electro-optical modulator according to claim 5, characterized in that, when the Mach-Zehnder electro-optical modulator only works in the linear region, the output field is represented as: wherein is the insertion loss, is the radio frequency signal voltage, C is the chirp coefficient, is the linear region modulation curve.

7. A system for modeling electro-optical modulator, characterized in that, the system for modeling electro-optical modulator comprises a module for constructing numerical model of analytical description, and can execute the method for modeling electro-optical modulator according to any one of claims 1 to 6.

8. A computer readable storage medium, which stores a computer program, characterized in that, the program is executed by a processor to realize the method for modeling electro-optical modulator according to any one of claims 1 to 6.

9. An electronic device, comprising a memory, a processor, and a computer program stored on the memory and executable on the processor, characterized in that, the processor executes the computer program to realize the method for modeling electro-optical modulator according to any one of claims 1 to 6.

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