dorsal/arxiv
View SchemaEigenmodes of index-modulated layers with lateral PMLs
| Authors | Diana C. Skigin |
|---|---|
| Categories | |
| ArXiv ID | physics/0411025 |
| URL | https://arxiv.org/abs/physics/0411025 |
| DOI | 10.1016/j.ijleo.2005.02.007 |
Abstract
Maxwell equations are solved in a layer comprising a finite number of homogeneous isotropic dielectric regions ended by anisotropic perfectly matched layers (PMLs). The boundary-value problem is solved and the dispersion relation inside the PML is derived. The general expression of the eigenvalues equation for an arbitrary number of regions in each layer is obtained, and both polarization modes are considered. The modal functions of a single layer ended by PMLs are found, and their orthogonality relation is derived. The present method is useful to simulate scattering problems from dielectric objects as well as propagation in planar slab waveguides. Its potential to deal with more complex problems such as the scattering from an object with arbitrary cross section in open space using the multilayer modal method is briefly discussed.
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"abstract": "Maxwell equations are solved in a layer comprising a finite number of\nhomogeneous isotropic dielectric regions ended by anisotropic perfectly matched\nlayers (PMLs). The boundary-value problem is solved and the dispersion relation\ninside the PML is derived. The general expression of the eigenvalues equation\nfor an arbitrary number of regions in each layer is obtained, and both\npolarization modes are considered. The modal functions of a single layer ended\nby PMLs are found, and their orthogonality relation is derived. The present\nmethod is useful to simulate scattering problems from dielectric objects as\nwell as propagation in planar slab waveguides. Its potential to deal with more\ncomplex problems such as the scattering from an object with arbitrary cross\nsection in open space using the multilayer modal method is briefly discussed.",
"arxiv_id": "physics/0411025",
"authors": [
"Diana C. Skigin"
],
"categories": [
"physics.optics"
],
"doi": "10.1016/j.ijleo.2005.02.007",
"title": "Eigenmodes of index-modulated layers with lateral PMLs",
"url": "https://arxiv.org/abs/physics/0411025"
},
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