Numerical simulation of hollow waveguide arrays as polarization converting elements and experimental verification

In this paper we study the characteristics of hollow waveguides that are used as polarization converting elements. In particular, numerical simulations are compared with experiments where a good agreement is found. The numerical simulations are performed with the Method of Lines—an eigenmode propaga...

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Bibliographic Details
Published in:Optical and quantum electronics 2017-09, Vol.49 (9), p.1-15, Article 313
Main Authors: Helfert, Stefan F., Seiler, Thomas, Jahns, Jürgen, Becker, Jing, Jakobs, Peter, Bacher, Andreas
Format: Article
Language:English
Subjects:
Characterization and Evaluation of Materials
Computer Communication Networks
Computer simulation
Conversion
Cross-sections
Eigenvectors
Electrical Engineering
Electron beam lithography
Lasers
Mathematical analysis
Matrix algebra
Matrix methods
Method of lines
Optical Devices
Optics
Photonics
Physics
Physics and Astronomy
Polarization
Waveguides
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Summary:In this paper we study the characteristics of hollow waveguides that are used as polarization converting elements. In particular, numerical simulations are compared with experiments where a good agreement is found. The numerical simulations are performed with the Method of Lines—an eigenmode propagation algorithm where the eigenmodes are computed after a discretization in the cross-section. Due to the vectorial 3D-problem, extensions of the standard algorithm were required to keep the numerical effort low. Particularly, only a reduced set of eigenmodes is used in the computations and inverting rectangular matrices is done with the help of left eigenvectors. Further, it is shown how these left eigenvectors can be determined with simple matrix vector products, i.e., at very low numerical cost. The fabrication of the device is very demanding because of a very high ratio between the metal width and its height. Here, direct electron-beam lithography is used for this task.
ISSN:0306-8919
1572-817X
DOI:10.1007/s11082-017-1153-x