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2022 Days on Diffraction (DD)最新文献

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Exact solution to the light scattering problem for a core-mantle spheroid with non-confocal layer boundaries 具有非共焦层边界的核-幔球体光散射问题的精确解
2022 Days on Diffraction (DD) Pub Date : 2022-05-30 DOI: 10.1109/DD55230.2022.9960958
D. G. Turichina, V. Farafonov, V. Il’in
{"title":"Exact solution to the light scattering problem for a core-mantle spheroid with non-confocal layer boundaries","authors":"D. G. Turichina, V. Farafonov, V. Il’in","doi":"10.1109/DD55230.2022.9960958","DOIUrl":"https://doi.org/10.1109/DD55230.2022.9960958","url":null,"abstract":"We solve the problem of light scattering by a core-mantle spheroidal particle in the case when the external and internal boundaries of the mantle are concentric, coaxial, but not confocal. We expand the fields in terms of spheroidal wave functions related to the different boundaries and operate with the expansions using the surface integral formulation of the problem. By applying some relations between spherical and different spheroidal functions, we derive the so-called T-matrix connecting the expansion coefficients for the incident and scattered fields. We transform such a “spheroidal” T-matrix to the standard one that arises for the spherical basis widely used in applications. Numerical calculations demonstrate that this approach is as efficient as that for homogeneous spheroids. Moreover, we find that it appears to be the only way to accurately derive the T-matrix for layered spheroidal particles in a broad range of parameter values.","PeriodicalId":125852,"journal":{"name":"2022 Days on Diffraction (DD)","volume":"4 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-05-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125105922","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Inverse diffraction grating problems as optimization tasks: from naïve to Bayes approach 作为优化任务的逆衍射光栅问题:从naïve到贝叶斯方法
2022 Days on Diffraction (DD) Pub Date : 2022-05-30 DOI: 10.1109/DD55230.2022.9961015
L. Goray, A. Dashkov, N. A. Kostromin
{"title":"Inverse diffraction grating problems as optimization tasks: from naïve to Bayes approach","authors":"L. Goray, A. Dashkov, N. A. Kostromin","doi":"10.1109/DD55230.2022.9961015","DOIUrl":"https://doi.org/10.1109/DD55230.2022.9961015","url":null,"abstract":"The authors consider the inverse conical diffraction problem as an optimization problem. We apply several techniques: the genetic algorithm, the stochastic gradient descent method, the Bayesian approach, and the neural network approach. The boundary integral equation method is utilized to solve the direct problem. Using a range of numerical experiments, we demonstrate that the mixed Bayesian with stochastic gradient descent optimization technique allows one to obtain the solution to the inverse diffraction grating problem in the most convenient and fast way possible. The authors provide a detailed configuration description necessary for a successful optimization process.","PeriodicalId":125852,"journal":{"name":"2022 Days on Diffraction (DD)","volume":"6 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-05-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114874340","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On hyperbolicity of close to piecewise constant linear cocycles over irrational rotations 非合理旋转上接近分段常数线性环的双曲性
2022 Days on Diffraction (DD) Pub Date : 2022-05-30 DOI: 10.1109/DD55230.2022.9960970
A. Ivanov
{"title":"On hyperbolicity of close to piecewise constant linear cocycles over irrational rotations","authors":"A. Ivanov","doi":"10.1109/DD55230.2022.9960970","DOIUrl":"https://doi.org/10.1109/DD55230.2022.9960970","url":null,"abstract":"We study a family of skew products <tex>$boldsymbol{F_{A,t}=(sigma_{omega}, A_{t})}$</tex> over irrational rotation <tex>$sigma_{omega}(x)=x+omega$</tex> of a circle <tex>$boldsymbol{mathbb{T}^{1}}$</tex>, which depend on a real parameter <tex>$t$</tex>. It is supposed that the transformation <tex>$A_{t}in C(mathbb{T}^{1}, SL(2,mathbb{R}))$</tex> is of the form <tex>$A_{t}(x)=R(varphi(x))Z(lambda(x))$</tex>, where <tex>$R(varphi)$</tex> stands for a rotation in <tex>$mathbb{R}^{2}$</tex> over an angle <tex>$varphi$</tex> and <tex>$Z(lambda)=text{diag}{lambda,lambda^{-1}}$</tex> is a diagonal matrix. Assuming <tex>$lambda(x)geqlambda_{mathrm{O}}gg 1$</tex> and the function <tex>$varphi$</tex> to be piecewise linear such that <tex>$cos(x)$</tex> possesses only simple zeroes, we study the problem of uniform hyperbolicity for the cocycle generated by <tex>$boldsymbol{F_{A,t}}$</tex>. We apply the critical set method to formulate sufficient conditions on the parameter values which guarantee the uniform hyperbolicity of the cocycle. Application to the Schrödinger cocycles is also discussed.","PeriodicalId":125852,"journal":{"name":"2022 Days on Diffraction (DD)","volume":"12 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-05-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122115563","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Asymptotic analysis of tunneling through potential barrier in graphene placed in a magnetic field 置于磁场中的石墨烯中势垒隧穿的渐近分析
2022 Days on Diffraction (DD) Pub Date : 2022-05-30 DOI: 10.1109/DD55230.2022.9960981
M. Perel
{"title":"Asymptotic analysis of tunneling through potential barrier in graphene placed in a magnetic field","authors":"M. Perel","doi":"10.1109/DD55230.2022.9960981","DOIUrl":"https://doi.org/10.1109/DD55230.2022.9960981","url":null,"abstract":"The effect of a static magnetic orthogonal field on tunneling of Dirac fermions in graphene through an external electrostatic potential barrier is studied asymptotically in semiclassical approximation. The fields are assumed to be smoothly inhomogeneous. Expressions for transfer matrix, reflection, and transmission coefficients are found.","PeriodicalId":125852,"journal":{"name":"2022 Days on Diffraction (DD)","volume":"70 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-05-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115233011","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Plasmon resonances of spherical semiconductor-metal core-shell nanostructure 球形半导体-金属核壳纳米结构的等离激元共振
2022 Days on Diffraction (DD) Pub Date : 2022-05-30 DOI: 10.1109/DD55230.2022.9961018
I. Pavlichenko
{"title":"Plasmon resonances of spherical semiconductor-metal core-shell nanostructure","authors":"I. Pavlichenko","doi":"10.1109/DD55230.2022.9961018","DOIUrl":"https://doi.org/10.1109/DD55230.2022.9961018","url":null,"abstract":"On the basis of hydrodynamic equations, we calculate a steady-state electron density profile in a spherical semiconductor-metal core-shell nanostructure of small size and the frequency dependence of its dipole moment induced by external optical radiation. It is shown that resonant absorption in the boundary layer between materials can lead to a noticeable decrease in the quality factor of plasmon resonances.","PeriodicalId":125852,"journal":{"name":"2022 Days on Diffraction (DD)","volume":"20 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-05-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128449713","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On the equivalence of the BMO-norm of divergence-free vector fields and norm of related paracommutators 无散度向量场的bmo -范数与相关副变子范数的等价性
2022 Days on Diffraction (DD) Pub Date : 2022-05-30 DOI: 10.1109/DD55230.2022.9961026
M. N. Demchenko
{"title":"On the equivalence of the BMO-norm of divergence-free vector fields and norm of related paracommutators","authors":"M. N. Demchenko","doi":"10.1109/DD55230.2022.9961026","DOIUrl":"https://doi.org/10.1109/DD55230.2022.9961026","url":null,"abstract":"We establish an estimate of the BMO-norm of a divergence-free vector field in $boldsymbol{mathbb{R}^{3}}$ in terms of the operator norm of an associated paracommutator. The latter is essentially a $boldsymbol{Psitext{DO}}$ (bounded in $boldsymbol{L_{2}(mathbb{R}^{3};mathbb{C}^{3})}$ ), whose symbol depends linearly on the vector field. Together with the result of P. Auscher and M. Taylor concerning the converse estimate, this provides an equivalent norm in the space of divergence-free fields from BMO.","PeriodicalId":125852,"journal":{"name":"2022 Days on Diffraction (DD)","volume":"80 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-05-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126330496","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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