{"title":"计算周期性非线性电气网络孤子解的迭代技术","authors":"Joel Johnson and Cody Scarborough","doi":"10.1364/ome.510843","DOIUrl":null,"url":null,"abstract":"Solitary waves (solitons) are fundamental modes supported by nonlinear guiding structures and propagate without any distortion due to dispersion. They can be used in the synthesis of waveforms with desired spectral or time-domain characteristics. However, the nonlinearity inherent to solitons complicates their analysis on general guiding structures. This paper proposes an iterative algorithm that can compute soliton solutions supported by general periodic electrical networks loaded by nonlinear capacitors. The proposed technique accounts for the exact dispersion of the structure and allows the capacitance to take on an arbitrary function of voltage. The algorithm computes the solution throughout the entire structure while only modeling a single unit cell, thus reducing the computational cost significantly. It is implemented within an in-house solver and verified against a commercially available circuit simulator. Different circuits which include lumped inductors, ideal transmission lines, and co-planar waveguides are simulated and shown to agree with commercial harmonic balance solvers. The presented technique will allow microwave and optical engineers to design and optimize a wide variety of nonlinear guiding structures efficiently.","PeriodicalId":19548,"journal":{"name":"Optical Materials Express","volume":"7 1","pages":""},"PeriodicalIF":2.8000,"publicationDate":"2024-02-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Iterative technique for computing soliton solutions to periodic nonlinear electrical networks\",\"authors\":\"Joel Johnson and Cody Scarborough\",\"doi\":\"10.1364/ome.510843\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Solitary waves (solitons) are fundamental modes supported by nonlinear guiding structures and propagate without any distortion due to dispersion. They can be used in the synthesis of waveforms with desired spectral or time-domain characteristics. However, the nonlinearity inherent to solitons complicates their analysis on general guiding structures. This paper proposes an iterative algorithm that can compute soliton solutions supported by general periodic electrical networks loaded by nonlinear capacitors. The proposed technique accounts for the exact dispersion of the structure and allows the capacitance to take on an arbitrary function of voltage. The algorithm computes the solution throughout the entire structure while only modeling a single unit cell, thus reducing the computational cost significantly. It is implemented within an in-house solver and verified against a commercially available circuit simulator. Different circuits which include lumped inductors, ideal transmission lines, and co-planar waveguides are simulated and shown to agree with commercial harmonic balance solvers. The presented technique will allow microwave and optical engineers to design and optimize a wide variety of nonlinear guiding structures efficiently.\",\"PeriodicalId\":19548,\"journal\":{\"name\":\"Optical Materials Express\",\"volume\":\"7 1\",\"pages\":\"\"},\"PeriodicalIF\":2.8000,\"publicationDate\":\"2024-02-08\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Optical Materials Express\",\"FirstCategoryId\":\"88\",\"ListUrlMain\":\"https://doi.org/10.1364/ome.510843\",\"RegionNum\":3,\"RegionCategory\":\"材料科学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATERIALS SCIENCE, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Optical Materials Express","FirstCategoryId":"88","ListUrlMain":"https://doi.org/10.1364/ome.510843","RegionNum":3,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATERIALS SCIENCE, MULTIDISCIPLINARY","Score":null,"Total":0}
Iterative technique for computing soliton solutions to periodic nonlinear electrical networks
Solitary waves (solitons) are fundamental modes supported by nonlinear guiding structures and propagate without any distortion due to dispersion. They can be used in the synthesis of waveforms with desired spectral or time-domain characteristics. However, the nonlinearity inherent to solitons complicates their analysis on general guiding structures. This paper proposes an iterative algorithm that can compute soliton solutions supported by general periodic electrical networks loaded by nonlinear capacitors. The proposed technique accounts for the exact dispersion of the structure and allows the capacitance to take on an arbitrary function of voltage. The algorithm computes the solution throughout the entire structure while only modeling a single unit cell, thus reducing the computational cost significantly. It is implemented within an in-house solver and verified against a commercially available circuit simulator. Different circuits which include lumped inductors, ideal transmission lines, and co-planar waveguides are simulated and shown to agree with commercial harmonic balance solvers. The presented technique will allow microwave and optical engineers to design and optimize a wide variety of nonlinear guiding structures efficiently.
期刊介绍:
The Optical Society (OSA) publishes high-quality, peer-reviewed articles in its portfolio of journals, which serve the full breadth of the optics and photonics community.
Optical Materials Express (OMEx), OSA''s open-access, rapid-review journal, primarily emphasizes advances in both conventional and novel optical materials, their properties, theory and modeling, synthesis and fabrication approaches for optics and photonics; how such materials contribute to novel optical behavior; and how they enable new or improved optical devices. The journal covers a full range of topics, including, but not limited to:
Artificially engineered optical structures
Biomaterials
Optical detector materials
Optical storage media
Materials for integrated optics
Nonlinear optical materials
Laser materials
Metamaterials
Nanomaterials
Organics and polymers
Soft materials
IR materials
Materials for fiber optics
Hybrid technologies
Materials for quantum photonics
Optical Materials Express considers original research articles, feature issue contributions, invited reviews, and comments on published articles. The Journal also publishes occasional short, timely opinion articles from experts and thought-leaders in the field on current or emerging topic areas that are generating significant interest.