{"title":"各向异性磁性纳米复合材料和基于蛋白石基质的三维纳米结构中微波传播和衍射的数学建模","authors":"G. S. Makeeva","doi":"10.1134/S1063785023700141","DOIUrl":null,"url":null,"abstract":"<p>A computational algorithm for solving the boundary value problem of diffraction has been developed for Maxwell’s equations together with the Landau‒Lifshitz equation using the Galerkin projection method. Using the developed computational algorithm for calculating the conductivity matrix of an autonomous block with Floquet channels (FABs), the real and imaginary parts of the complex wavenumber of a quasi-extraordinary wave have been calculated from the solution of the characteristic equation depending on the bias field strength. Using the computational algorithm of the multilevel FAB recomposition, the mathematical modeling of diffraction of the fundamental wave on a 3D magnetic nanostructure in a rectangular waveguide has been carried out and the results obtained have been compared with the experiment.</p>","PeriodicalId":784,"journal":{"name":"Technical Physics Letters","volume":null,"pages":null},"PeriodicalIF":0.8000,"publicationDate":"2024-01-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Mathematical Modeling of Propagation and Diffraction of Microwaves in Anisotropic Magnetic Nanocomposites and 3D Nanostructures Based on Opal Matrices\",\"authors\":\"G. S. Makeeva\",\"doi\":\"10.1134/S1063785023700141\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>A computational algorithm for solving the boundary value problem of diffraction has been developed for Maxwell’s equations together with the Landau‒Lifshitz equation using the Galerkin projection method. Using the developed computational algorithm for calculating the conductivity matrix of an autonomous block with Floquet channels (FABs), the real and imaginary parts of the complex wavenumber of a quasi-extraordinary wave have been calculated from the solution of the characteristic equation depending on the bias field strength. Using the computational algorithm of the multilevel FAB recomposition, the mathematical modeling of diffraction of the fundamental wave on a 3D magnetic nanostructure in a rectangular waveguide has been carried out and the results obtained have been compared with the experiment.</p>\",\"PeriodicalId\":784,\"journal\":{\"name\":\"Technical Physics Letters\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.8000,\"publicationDate\":\"2024-01-31\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Technical Physics Letters\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://link.springer.com/article/10.1134/S1063785023700141\",\"RegionNum\":4,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"PHYSICS, APPLIED\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Technical Physics Letters","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1134/S1063785023700141","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"PHYSICS, APPLIED","Score":null,"Total":0}
引用次数: 0
摘要
摘要 利用 Galerkin 投影法为麦克斯韦方程和 Landau-Lifshitz 方程开发了一种解决衍射边界值问题的计算算法。利用所开发的计算算法计算了具有 Floquet 通道(FABs)的自治块的电导矩阵,并根据偏置场强度的特征方程的解计算出了准超常波的复波长的实部和虚部。利用多级 FAB 重构计算算法,对矩形波导中三维磁性纳米结构的基波衍射进行了数学建模,并将所得结果与实验进行了比较。
Mathematical Modeling of Propagation and Diffraction of Microwaves in Anisotropic Magnetic Nanocomposites and 3D Nanostructures Based on Opal Matrices
A computational algorithm for solving the boundary value problem of diffraction has been developed for Maxwell’s equations together with the Landau‒Lifshitz equation using the Galerkin projection method. Using the developed computational algorithm for calculating the conductivity matrix of an autonomous block with Floquet channels (FABs), the real and imaginary parts of the complex wavenumber of a quasi-extraordinary wave have been calculated from the solution of the characteristic equation depending on the bias field strength. Using the computational algorithm of the multilevel FAB recomposition, the mathematical modeling of diffraction of the fundamental wave on a 3D magnetic nanostructure in a rectangular waveguide has been carried out and the results obtained have been compared with the experiment.
期刊介绍:
Technical Physics Letters is a companion journal to Technical Physics and offers rapid publication of developments in theoretical and experimental physics with potential technological applications. Recent emphasis has included many papers on gas lasers and on lasing in semiconductors, as well as many reports on high Tc superconductivity. The excellent coverage of plasma physics seen in the parent journal, Technical Physics, is also present here with quick communication of developments in theoretical and experimental work in all fields with probable technical applications. Topics covered are basic and applied physics; plasma physics; solid state physics; physical electronics; accelerators; microwave electron devices; holography.