Abstract
Advancements in diamond turning technology with tool servo configurations enables the generation of precise freeform surfaces. However, the profile accuracy is mainly limited due to non-availability of an efficient tool path compensation techniques and precise alignment methods. The aim of this study is focused on developing a tool path compensation routine for slow tool servo machining of freeform optics. A seven-order polynomial freeform surface, designed for hyperspectral imaging is selected for experimentation. Alignment strategy by utilizing the available fiducials is presented to ensure the precise re-mounting of surface during machining and metrology. The contact type profilometer is used to measure the fabricated surface by taking 25 numbers of two-dimensional raster scans at an interval of 0.5 mm. The scans are then stitched to get the 3D surface measurement. The residual form error map is used to compensate the tool path. Significant reduction in form error, i.e., from peak to valley (PV) of 9.27 to 0.75 μm with surface finish (Ra) of 11.82 nm, is achieved by performing four machining iterations of compensation. The simulation studies are also presented to investigate the effects of various misalignments on manufacturing accuracies. The developed compensation process is effective for fast convergence of form error and to manufacture the precise freeform optics for various imaging and non-imaging applications.
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References
Abd El-Maksoud RH, Hillenbrand M, Sinzinger S (2013) Parabasal theory for plane-symmetric systems including freeform surfaces. Opt Eng 53(3):031303–031303. https://doi.org/10.1117/1.oe.53.3.031303
Zhang X, Zheng L, He X, Wang L, Zhang F, Yu S, Shi G, Zhang B, Liu Q, Wang T (2012) Design and fabrication of imaging optical systems with freeform surfaces. Proc SPIE Int Soc Opt Eng 8486:848607–848610. https://doi.org/10.1117/12.928387
Zhenrong Z, Xiang H, Xu L (2009) Freeform surface lens for LED uniform illumination. Appl Opt 48(35):6627–6634. https://doi.org/10.1364/ao.48.006627
Clayor N, Combs DM, Lechuga OM, Mader JJ, Udayasankaran J (2004) An overview of freeform optics production. In: Proceedings of the SPIE
Fang FZ, Zhang XD, Weckenmann A, Zhang GX, Evans C (2013) Manufacturing and measurement of freeform optics. CIRP Ann Manuf Technol 62(2):823–846. https://doi.org/10.1016/j.cirp.2013.05.003
Lasemi A, Xue D, Gu P (2010) Recent development in CNC machining of freeform surfaces: a state-of-the-art review. Comput Aided Des 42(7):641–654. https://doi.org/10.1016/j.cad.2010.04.002
Zhu L, Li Z, Fang F, Huang S, Zhang X (2018) Review on fast tool servo machining of optical freeform surfaces. Int J Adv Manuf Technol 95(5):2071–2092. https://doi.org/10.1007/s00170-017-1271-4
Thompson KP, Rolland JP (2012) Freeform optical surfaces: a revolution in imaging optical design. Opt Photonics News 23(6):30–35
Savio E, De Chiffre L, Schmitt R (2007) Metrology of freeform shaped parts. CIRP Ann Manuf Technol 56(2):810–835
Ohl Iv RG, Dow TA, Sohn A, Garrard K (2004) Highlights of the ASPE 2004 Winter Topical Meeting on Free-Form Optics: design, fabrication, metrology, assembly. In. pp 49-56
Wang X, Fu X, Li C, Kang M (2015) Tool path generation for slow tool servo turning of complex optical surfaces. Int J Adv Manuf Technol 79(1):437–448. https://doi.org/10.1007/s00170-015-6846-3
Slavkovic NR, Milutinovic DS, Glavonjic MM (2014) A method for off-line compensation of cutting force-induced errors in robotic machining by tool path modification. Int J Adv Manuf Technol 70(9):2083–2096. https://doi.org/10.1007/s00170-013-5421-z
Liu X, Li Y, Xu X (2018) A region-based tool path generation approach for machining freeform surfaces by applying machining strip width tensor. Int J Adv Manuf Technol 98:3191–3204. https://doi.org/10.1007/s00170-018-2427-6
Lazoglu I, Manav C, Murtezaoglu Y (2009) Tool path optimization for free form surface machining. CIRP Ann Manuf Technol 58(1):101–104
Wolfs F, Fess E, DeFisher S, Torres J, Ross J (2015) Freeform grinding and polishing with PROSurf. Proc SPIE OptiFab G 96331
Murphy J (2015) Optics fabrication: changes, challenges and progress. Laurin Publ Co Inc Berkshire Common Po, PittsfielD
Su P, Oh CJ, Parks RE, Burge JH (2009) Swing arm optical CMM for aspherics. In: Optical manufacturing and testing VIII. International Society for Optics and Photonics, p 74260J
Jiang X, Scott P, Whitehouse D (2007) Freeform surface characterisation-a fresh strategy. CIRP Ann Manuf Technol 56(1):553–556
Qiao J, Mulhollan Z (2016) Dorrer C Optical differentiation wavefront sensing for freeform optics metrology. In: Frontiers in optics. Optical Society of America, p FW5H. 5
Pant KK, Burada DR, Bichra M, Singh MP, Ghosh A, Khan GS, Sinzinger S, Shakher C (2015) Subaperture stitching for measurement of freeform wavefront. Appl Opt 54(34):10022–10028
Khan G (2015) Non-null technique for measurement of freeform wavefront using stitching approach. In: Freeform optics. Optical Society of America, p FTh2B. 3
Khan G, Bichra M, Grewe A, Sabitov N, Mantel K, Harder I, Berger A, Lindlein N (2013) Sinzinger S Metrology of freeform optics using diffractive null elements in Shack-Hartmann sensors. In: 3rd EOS Conference on Manufacturing of Optical Components, pp 13–15
Burada DR, Pant KK, Mishra V, Bichra M, Khan GS, Sinzinger S, Shakher C (2017) Development of metrology for freeform optics in reflection mode. In: SPIE Optical Metrology. International Society for Optics and Photonics, p 103291K-103298
Burada DR, Pant KK, Bichra M, Khan GS, Sinzinger S, Shakher C (2017) Experimental investigations on characterization of freeform wavefront using Shack–Hartmann sensor. Opt Eng 56(8):084107. https://doi.org/10.1117/1.OE.56.8.084107
Brunelle M, Yuan J, Medicus K, Nelson JD (2015) Importance of fiducials on freeform optics. In: SPIE Optifab. International Society for Optics and Photonics, pp 963318-963318-963318
Sohn A (2004) Fixturing and alignment of free-form optics for diamond turning. In: Proceedings of the American Society for Precision Engineering Winter Topical Meeting on Free-Form Optics: design, fabrication, metrology, assembly. Citeseer
Zhang X, Zeng Z, Liu X, Fang F (2015) Compensation strategy for machining optical freeform surfaces by the combined on- and off-machine measurement. Opt Express 23(19):24800–24810. https://doi.org/10.1364/oe.23.024800
Chen S, Wu C, Xue S, Li Z (2018) Fast registration of 3D point clouds with offset surfaces in precision grinding of free-form surfaces. Int J Adv Manuf Technol 97(9):3595–3606. https://doi.org/10.1007/s00170-018-2203-7
Chen C-C, Huang C-Y, Peng W-J, Cheng Y-C, Yu Z-R, Hsu W-Y (2013) Freeform surface machining error compensation method for ultra-precision slow tool servo diamond turning. Proc. SPIE, p 88380Y
Ye H, Mingxu X, Xuezheng X, Zhaojun Y, Yinlong Z (2014) An accurate interpolator for FTS diamond turning of optical free-form surface. Int J Adv Manuf Technol 73(5):635–638. https://doi.org/10.1007/s00170-014-5856-x
Liu Q, Pan S, Yan H, Zhou X, Wang R (2016) In situ measurement and error compensation of optical freeform surfaces based on a two DOF fast tool servo. Int J Adv Manuf Technol 86(1-4):793–798
Kim H-S, Lee K-I, Lee K-M, Bang Y-B (2009) Fabrication of free-form surfaces using a long-stroke fast tool servo and corrective figuring with on-machine measurement. Int J Mach Tools Manuf 49(12):991–997
Zhu Z, To S (2015) Adaptive tool servo diamond turning for enhancing machining efficiency and surface quality of freeform optics. Opt Express 23(16):20234–20248
Mishra V, Pant K, Burada DR, Karar V, Khan G, Jha S (2017) Generation of freeform surface by using slow tool servo. In: Freeform Optics. Optical Society of America, p FTh3B. 2
Lindlein N, Simon F, Schwider J (1998) Simulation of micro-optical array systems with RAYTRACE. Opt Eng 37(6):1809–1817
Mishra V, Khatri N, Nand K, Singh K, V Sarepaka R (2015) Experimental investigation on uncontrollable parameters for surface finish during diamond turning. Mater Manuf Process 30(2):232–240
Mishra V, Khan GS, Chattopadhyay K, Nand K, Sarepaka RV (2014) Effects of tool overhang on selection of machining parameters and surface finish during diamond turning. Measurement 55:353–361
Yu DP, Wong YS, Hong GS (2011) Optimal selection of machining parameters for fast tool servo diamond turning. Int J Adv Manuf Technol 57(1):85–99. https://doi.org/10.1007/s00170-011-3280-z
Chen C-C, Cheng Y-C, Hsu W-Y, Chou H-Y, Wang P-J, Tsai DP (2011) Slow tool servo diamond turning of optical freeform surface for astigmatic contact lens, vol 8126. SPIE Optical Engineering + Applications. SPIE
Acknowledgements
We acknowledge Prof. Stefan Sinzinger of Technical University, Ilmenau, Germany, for providing the design data of the freeform surface for fabrication experiment under Indo-German DSTDAAD Project-Based Personnel Exchange Program 2013 to 2015
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Mishra, V., Burada, D.R., Pant, K.K. et al. Form error compensation in the slow tool servo machining of freeform optics. Int J Adv Manuf Technol 105, 1623–1635 (2019). https://doi.org/10.1007/s00170-019-04359-w
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DOI: https://doi.org/10.1007/s00170-019-04359-w