Berechnung von Freiformächen für Strahlformung

Transcription

1 Berechnung von Freiformächen für Strahlformung Christoph Bösel 1, Herbert Gross 1,2 1 Friedrich-Schiller-Universität Jena, Institute of Applied Physics, Abbe Center of Photonics, Jena, Germany 2 Fraunhofer Institute for Applied Optics and Precision Engineering, Jena, Germany

2 Outline Introduction Design method Demonstrator Conclusion 1

3 Introduction 2 prescribed arbitrary input- and output irradiance geometry assumptions geometrical optics approximation ideal source goal continuous freeform surface ecient calculation/straightforeward implementation

4 Introduction 2 prescribed arbitrary input- and output irradiance geometry assumptions geometrical optics approximation ideal source goal continuous freeform surface ecient calculation/straightforeward implementation

5 Introduction 2 prescribed arbitrary input- and output irradiance geometry assumptions geometrical optics approximation ideal source goal continuous freeform surface ecient calculation/straightforeward implementation

6 I T (x, y ) u(x, y ) s4 (x, y ) I S (x, y ) Separation of design process into: 1. Calculation of ray-mapping u(x, y) 2. Construction of freeform from mapping nontrivial: u(x, y) for continuous freeform surfaces 3

7 I T (x, y ) u(x, y ) s4 (x, y ) I S (x, y ) Separation of design process into: 1. Calculation of ray-mapping u(x, y) 2. Construction of freeform from mapping nontrivial: u(x, y) for continuous freeform surfaces 3

8 I T (x, y ) I T (x, y ) u(x, y ) s3 s4 s2 s1 (x, y ) I S (x, y ) I S (x, y ) Separation of design process into: 1. Calculation of ray-mapping u(x, y) 2. Construction of freeform from mapping nontrivial: u(x, y) for continuous freeform surfaces 3

9 I T (x, y ) I T (x, y ) u(x, y ) s3 s4 s2 s1 (x, y ) I S (x, y ) I S (x, y ) Separation of design process into: 1. Calculation of ray-mapping u(x, y) 2. Construction of freeform from mapping nontrivial: u(x, y) for continuous freeform surfaces 3

10 appropriate ray-mapping? optimal transport theory problem-specic! research: applicability to freeform illumination 4

11 appropriate ray-mapping? optimal transport theory problem-specic! research: applicability to freeform illumination 4

12 appropriate ray-mapping? optimal transport theory problem-specic! research: applicability to freeform illumination 4

13 Single freeform with collimated beams irradiance control for lenses or mirrors paraxial approximation (but insensitiv) I T (x, y ) I S (x, y ) 5 C. Bösel and H.Gross, Opt. Express 24(12), p (2016).

14 Single freeform with collimated beams irradiance control for lenses or mirrors paraxial approximation (but insensitiv) I T (x, y ) a) b) c) d) I S (x, y ) e) f) 5 C. Bösel and H.Gross, Opt. Express 24(12), p (2016).

15 Double freeform with collimated beams irradiance and phase control paraxial approximation for lenses large distances without restrictions for mirrors I T (x, y ) I S (x, y ) 6 C. Bösel and H.Gross, Proc. SPIE 9950 (2016).

16 C. Bösel and H.Gross, Proc. SPIE 9950 (2016). Design method Double freeform with collimated beams irradiance and phase control RMS Irr = (fractional : ) RMS OPD = λ a) b) I T (x, y ) c) d) I S (x, y ) 6

17 Double freeform beyond paraxial approximation necessary for compact systems I T (x, y ) I S (x, y ) 7 Manuscript in preparation

18 Double freeform beyond paraxial approximation necessary for compact systems rms OPL = λ 7 Manuscript in preparation

19 Double freeform beyond paraxial approximation necessary for compact systems rms OPL = λ 7 Manuscript in preparation

20 Point light sources under investigation/ preliminary results I T (x, y ) r (θ, φ) 8

21 Point light sources under investigation/ preliminary results 8

22 Demonstrator Pop Art of Joseph von Fraunhofer (Demonstrator) four gaussian input beams magnication+shift+superposition 9 Ref.: Satzer, B., et al., Publication in progress.

23 Demonstrator Prescribed Simulation Experiment (photo) (color scales not calibrated) 10

24 Conclusion Design method collimated beams (and point light sources) single and double freeform surfaces Lenses and mirrors future research point light sources more complex geometries 12