Conference article

Development of a Modelica Library for Simulation of Diffractive Optomechatronic Systems

Thomas Kaden
Technische Universität Dresden, Institute of Automation, Faculty of Electrical Engineering, Germany

Klaus Janschek
Technische Universität Dresden, Institute of Automation, Faculty of Electrical Engineering, Germany

Download article

Published in: Proceedings of the 8th International Modelica Conference; March 20th-22nd; Technical Univeristy; Dresden; Germany

Linköping Electronic Conference Proceedings 63:23, p. 199-206

Show more +

Published: 2011-06-30

ISBN: 978-91-7393-096-3

ISSN: 1650-3686 (print), 1650-3740 (online)


The proper operation and performance of optomechatronic systems is fundamentally affected by changes of the relative geometry caused by thermal influences; mechanical displacements and vibrations. Such extrinsic and intrinsic disturbances can be compensated by active control of optical elements like lenses; diffraction gratings or laser sources. In the context with system design and performance analysis tasks it is big challenge to model and simulate the coupled optomechatronic behavior including closed-loop control and disturbances properly on a representative level.

A promising approach is the integration of diffractive optic models in the well established physical object oriented modeling environment Modelica®; which offers already a broad support of multidomain libraries; e.g. electrical; mechanical and thermal.

Therefore the basic modeling requirements for diffractive optical elements are outlined followed by a discussion of possible problems and solutions for a computationally efficient implementation of a twodimensional spatial optical library for Modelicabased simulation environments.


Modelica; Diffractive Optics; Optical library


[1] Dyblenko; S. (2009). Optische Analyse von Bahnwaren mittels ; Spektralmethoden - Lösungen und Anwendungen. Technical report; IPP Symposium; Fakultät Elektrotrotechnik und Informationstechnik; TU Dresden

[2] Fritzson; P. (2004). Principles of Object-Oriented Modeling and Simulation with Modelica 2.1. IEEE Press. doi: 10.1109/9780470545669.

[3] Goodman; J.W. (2005). Indroduction to Fourier Optics. The McGraw-Hall Companies; 3d edition

[4] Hardy; J.W. (1998). Adaptive Optics for Astronomical Telescopes; Oxford University Press

[5] Hecht; E. (2002). Optik; Oldenburg Wissenschaftsverlag; ISBN 3-486-27359-0

[6] Janschek; K. (2010). Systementwurf mechatronischer Systeme: Methoden - Modelle – Konzepte; Springer. doi: 10.1007/978-3-540-78877-5.

[7] Janschek; K.; S. Dyblenko; V. Tchernykh; and T. Kaden (2007). Robuste Verfahren zur Bildaufnahme und Bildauswertung bei Online Messung der Papierformation auf Traversierrahmen. VDI-Berichte; 1981:57–66.

[8] Janschek; K.; V. Tchernykh and S. Dyblenko (2007). Performance analysis of optomechatronic image stabilization for a compact space camera. Control Engineering Practice 15(3 SPEC. ISS.): 333-347. doi: 10.1016/j.conengprac.2006.02.010.

[9] Janschek; K. and V. Tchernykh (2002). Optical correlator for image motion compensation in the focal plane of a satellite camera. Space Technology; 21(4):127-132

[10] Juday; D.R. and Florence; M.J. (1991). Full complex modulation with two one-parameter SLMs; SPIE; vol. 1558; pp. 499-503. doi: 10.1117/12.49656.

[11] Sommerfeld A. (1999); Vorlesungen über theoretische Physik – 4; Optik. Akad. Verlag Geest u. Portig; 3rd edition

[12] Tommasi; T and B.Bianco (1992). Frequency analysis of light difffraction between rotated planes. Optics Letters; vol. 17; nr. 8

[13] Matsushima K. (2008). Formulation of the rotational transformation of wave fields and their application to digital holography. Applied Optics; vol. 47; nr. 19. doi: 10.1364/AO.47.00D110.

[14] Modelica (2010). The MODELICA Language Specification; Version 3.2;

[15] Saldami; L.; Bachmann; P. Fritzson; P. and Wiesmann H. (2005). A Framework for Describing and Solving PDE Models in Modelica; 4th international Modelica Conference; Hamburg; March 7-8

[16] Uhlig.A; Beutlich; Blochwitz; Kurzbach and Naehring (2009). Modellierung und Simulation mit Modelica in SimulationX;

[17] Zemax (2010); software for optical system design.


Citations in Crossref