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Proceedings Paper

Tilt operator for electromagnetic fields and its application to propagation through plane interfaces
Author(s): Site Zhang; Huiying Zhong; Daniel Asoubar; Frank Wyrowski; Michael Kuhn
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Paper Abstract

This article introduces an efficient tilt operator for harmonic fields. In optical modeling and design, a field tilting operation is often needed, e.g., the propagation of a harmonic field between non-parallel planes, since most of the existing propagation operators only deal with the case of propagation between parallel planes. Such operator enables the modeling of various optical components, like the case of prisms and tolerancing with tilted components. The tilt operator is a rigorous method to calculate vectorial harmonic fields on tilted planes. The theory applies a non-equidistant sampling in the k-space of the field before rotation in order to obtain an equidistant sampling of the rotated field. Different interpolation techniques are employed for the non-equidistant sampling in the k-space of the initial field and their performances are evaluated. Besides the tilt operator, the propagation method of harmonic fields through planar interface is proposed as well. The application of both methods makes it possible to model a sequence of tilted optical interfaces, e.g., prisms. At the end of this article, a dispersive prisms example is presented. All simulations are done with the optics software VirtualLabTM.1

Paper Details

Date Published: 3 January 2013
PDF: 11 pages
Proc. SPIE 8550, Optical Systems Design 2012, 85503I (3 January 2013); doi: 10.1117/12.999424
Show Author Affiliations
Site Zhang, Friedrich-Schiller-Univ. Jena (Germany)
Huiying Zhong, Friedrich-Schiller-Univ. Jena (Germany)
Daniel Asoubar, Friedrich-Schiller-Univ. Jena (Germany)
Frank Wyrowski, Friedrich-Schiller-Univ. Jena (Germany)
Michael Kuhn, LightTrans VirtualLab UG (Germany)


Published in SPIE Proceedings Vol. 8550:
Optical Systems Design 2012
Laurent Mazuray; Daniel G. Smith; Jean-Luc M. Tissot; Tina E. Kidger; Frank Wyrowski; Stuart David; Rolf Wartmann; Jeffrey M. Raynor; Andrew P. Wood; Pablo Benítez; Andreas Erdmann; Marta C. de la Fuente, Editor(s)

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