Tilt operator for electromagnetic fields and its application to propagation through plane interfaces

Site Zhang; Huiying Zhong; Daniel Asoubar; Frank Wyrowski; Michael Kuhn

doi:10.1117/12.999424

3 January 2013 Tilt operator for electromagnetic fields and its application to propagation through plane interfaces

Site Zhang, Huiying Zhong, Daniel Asoubar, Frank Wyrowski, Michael Kuhn

Proceedings Volume 8550, Optical Systems Design 2012; 85503I (2013) https://doi.org/10.1117/12.999424
Event: SPIE Optical Systems Design, 2012, Barcelona, Spain

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 VirtualLab^TM.1

Citation Download Citation

Site Zhang, Huiying Zhong, Daniel Asoubar, Frank Wyrowski, and Michael Kuhn "Tilt operator for electromagnetic fields and its application to propagation through plane interfaces", Proc. SPIE 8550, Optical Systems Design 2012, 85503I (3 January 2013); https://doi.org/10.1117/12.999424

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