Radial Hilbert transform with Laguerre-Gaussian spatial filters

Optics Letters
Cheng-Shan GuoJianping Ding

Abstract

We analyze the point spread function (PSF) of the image processing system for radial Hilbert transform and propose a novel spiral phase filter, called the Laguerre-Gaussian spatial filter (LGSF). Theoretical analysis and real experiments show that the LGSF possesses some advantages in comparison with the conventional spiral phase plate (SPP). For example, the PSF of the imaging system with a LGSF presents smaller suboscillations than that with the conventional SPP, which allows us to realize a radial Hilbert transform for achieving a high contrast edge enhancement with high resolution.

References

Mar 26, 2005·Optics Letters·Steven SundbeckDavid G Grier
Aug 11, 2005·Physical Review Letters·Alexander JesacherMonika Ritsch-Marte
Jan 5, 2006·Optics Letters·Gregory FooGrover A Swartzlander
Sep 20, 2004·Optics Express·Cheng-Shan GuoHui-Tian Wang
Feb 7, 2005·Optics Express·Severin FürhapterMonika Ritsch-Marte

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Citations

Jul 10, 2009·IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society·Yu QiaoXiaoou Tang
Sep 15, 2015·Journal of the Optical Society of America. A, Optics, Image Science, and Vision·Jian GuoAili Huang
Nov 28, 2013·Optics Letters·Yu-Jing HanLi-Ming Chen
Mar 22, 2007·Optics Letters·V V KotlyarJeffrey A Davis
Sep 29, 2011·Applied Optics·Manoj Kumar SharmaParamasivam Senthilkumaran
Jul 10, 2012·Optics Express·Ruth SteigerMonika Ritsch-Marte
Sep 9, 2016·Journal of the Optical Society of America. A, Optics, Image Science, and Vision·Arash SabatyanSeyyed Mortaza Taheri Balanoji
Aug 31, 2007·Journal of the Optical Society of America. A, Optics, Image Science, and Vision·Victor V KotlyarVictor A Soifer
Apr 3, 2010·Journal of the Optical Society of America. A, Optics, Image Science, and Vision·Jun ChenX-C Yuan
Apr 30, 2011·Lab on a Chip·YongTae KimWilliam C Messner
Aug 15, 2014·Optics Letters·Yijie PanTing-Chung Poon
Dec 25, 2019·Applied Optics·Zhongzheng GuCaojin Yuan
Aug 14, 2013·Optics Express·M P LeeM J Padgett
Nov 10, 2016·Optics Express·Yi ZhouCaojin Yuan
May 2, 2020·Optics Letters·Xinlei ZhuYangjian Cai
Nov 13, 2008·Applied Optics·V V KotlyarJ Turunen
Oct 10, 2013·Optics Express·Daniel Sierra-SosaMyrian Tebaldi
Oct 30, 2020·Optics Express·Diefei XuLixiang Chen

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