Freeform surface descriptions. Part I: Mathematical representations

Anika Broemel; Uwe Lippmann; Herbert Gross

doi:10.1515/aot-2017-0030

Article

Freeform surface descriptions. Part I: Mathematical representations

Anika Broemel
Anika Broemel studied Physics at the Friedrich-Schiller University Jena. She received her diploma in the field of Thin-Film Physics in 2010. She then joined the Institute of Photonic Technology to work on optical filters for THz applications. Since 2014, she is working in the Optical System Design group at the Institute of Applied Physics in Jena. Her main research interest is surface descriptions for freeform systems.
, Uwe Lippmann
In 2002, Uwe Lippmann received his Diploma in Mechanical Engineering from the Technical University of Ilmenau. Since 2003, he has been working in the Optical Systems Department of the Fraunhofer Institute for Applied Optics and Precision Engineering in Jena. His fields of work include optical system design for a wide variety of applications as well as the simulation and analysis of optical systems with a focus on stray light analyses.
and Herbert Gross
Herbert Gross studied Physics at the University of Stuttgart. He received his PhD on Laser Simulation in 1995. He joined Carl Zeiss in 1982 where he worked as a scientist in optical design, modeling, and simulation. From 1995 to 2010 he headed the central department of optical design and simulation. Since 2012, he has been a professor at the University of Jena in the Institute of Applied Physics and holds a chair of Optical System Design. His main working areas are physical optical simulations, beam propagation, partial coherence, classical optical design, aberration theory, system development, and metrology. He was editor and main author of the book series ‘Handbook of Optical systems’.

Published/Copyright: July 21, 2017

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From the journal Advanced Optical Technologies Volume 6 Issue 5

Abstract

Optical systems can benefit strongly from freeform surfaces; however, the choice of the right surface representation is not trivial and many aspects must be considered. In this work, we discuss the general approach classical globally defined representations, as well as the basic mathematics and properties of the most commonly used descriptions and present a new description developed by us for describing freeform surfaces.

Keywords: correction; freeform surface; optical design; optimization; surface representation

About the authors

Anika Broemel

Anika Broemel studied Physics at the Friedrich-Schiller University Jena. She received her diploma in the field of Thin-Film Physics in 2010. She then joined the Institute of Photonic Technology to work on optical filters for THz applications. Since 2014, she is working in the Optical System Design group at the Institute of Applied Physics in Jena. Her main research interest is surface descriptions for freeform systems.

Uwe Lippmann

In 2002, Uwe Lippmann received his Diploma in Mechanical Engineering from the Technical University of Ilmenau. Since 2003, he has been working in the Optical Systems Department of the Fraunhofer Institute for Applied Optics and Precision Engineering in Jena. His fields of work include optical system design for a wide variety of applications as well as the simulation and analysis of optical systems with a focus on stray light analyses.

Herbert Gross

Herbert Gross studied Physics at the University of Stuttgart. He received his PhD on Laser Simulation in 1995. He joined Carl Zeiss in 1982 where he worked as a scientist in optical design, modeling, and simulation. From 1995 to 2010 he headed the central department of optical design and simulation. Since 2012, he has been a professor at the University of Jena in the Institute of Applied Physics and holds a chair of Optical System Design. His main working areas are physical optical simulations, beam propagation, partial coherence, classical optical design, aberration theory, system development, and metrology. He was editor and main author of the book series ‘Handbook of Optical systems’.

Acknowledgment

The authors would like to thank Johannes Hartung and Chonghuai Ma for valuable discussions throughout the work on this publication and the Federal Ministry of Education and Research (BMBF) (03WKCK1D) for funding this work, as part of the project ‘fo+’.

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Received: 2017-4-13

Accepted: 2017-6-23

Published Online: 2017-7-21

Published in Print: 2017-10-26

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Articles in the same Issue

https://doi.org/10.1515/aot-2017-0030

Keywords for this article

correction; freeform surface; optical design; optimization; surface representation