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Multifunctional photonic differentiation is robust in optical computing and optical signal processing. We theoretically propose a multifunctional optical differentiator based on phase modulation and linear filtering. We also experimentally demonstrate two kinds of differentiators by using a phase modulator cascaded a fiber delay interferometer (DI) whose transmission spectrum is approximately linear. Difference between the two differentiators relies on whether the differentiated signals are formed by the optical intensity or the optical field of the output signal, which in turn depends on the relative shift between the signal wavelength and the closest notches of a linear filter. We also show the average errors of all kinds of differentiations and results show that the increase of the degree of linearity of the transmission spectrum of the DI will reduce the average error. Moreover, we demonstrate multi-channel multifunctional differentiation due to the comb spectrum of the DI.
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Keywords:
- phase modulation /
- linear filtration /
- optical differentiator /
- multi-channel signal processing
[1] Zhao C, Zhang X L, Dong J J, Hang D X 2006 Acta Phys. Sin. 55 4150 (in Chinese) [赵婵, 张新亮, 董建绩, 黄德修 2006 物理学报 55 4150]
[2] Slavik R, Park Y, Kulishov M, Morandotti R, Azana J 2006 Opt. Express 14 10699
[3] Dong J J, Zhang X L, Fu S N, Shum P, Huang D X 2007 Acta Phys. Sin. 56 2250 (in Chinese) [董建绩, 张新亮, 付松年, 沈平, 黄德修 2007 物理学报 56 2250]
[4] Slavik R, Park Y, Kulishov M, Azana J 2009 Opt. Lett. 34 3116
[5] Dong J J, Zhang X L, Wang Y, Huang D X 2008 Acta Phys. Sin.57 2222 (in Chinese) [董建绩, 张新亮, 王阳, 黄德修 2008 物理学报 57 2222]
[6] Li Z, Wu C 2009 Opt. Lett. 34 830
[7] Velanas P, Bogris A, Argyris A, Syvridis D 2008 Lightwave Technology, Journal 26 3269
[8] Dong J, Zhang X, Xu J, Shum P, Huang D 2007 Optics Letters 32 1223
[9] Yao J 2009 IEEE Microwav. Mag 10 82
[10] Rivas L M, Singh K, Carballar A, Azana J 2007 Photonics Technology Letters, IEEE 19 1209
[11] Li M, Janner D, Yao J, Pruneri V 2009 Opt. Express 17 19798
[12] Park Y, Azana J, Slavik R 2007 Opt. Lett. 32 710
[13] Liu F, Wang T, Qiang L, Ye T, Zhang Z, Qiu M, Su Y 2008 Opt. Express 16 15880
[14] Yongwoo P, Asghari M H, Helsten R, Azana J 2010 Photonics Journal, IEEE 2 1040
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[1] Zhao C, Zhang X L, Dong J J, Hang D X 2006 Acta Phys. Sin. 55 4150 (in Chinese) [赵婵, 张新亮, 董建绩, 黄德修 2006 物理学报 55 4150]
[2] Slavik R, Park Y, Kulishov M, Morandotti R, Azana J 2006 Opt. Express 14 10699
[3] Dong J J, Zhang X L, Fu S N, Shum P, Huang D X 2007 Acta Phys. Sin. 56 2250 (in Chinese) [董建绩, 张新亮, 付松年, 沈平, 黄德修 2007 物理学报 56 2250]
[4] Slavik R, Park Y, Kulishov M, Azana J 2009 Opt. Lett. 34 3116
[5] Dong J J, Zhang X L, Wang Y, Huang D X 2008 Acta Phys. Sin.57 2222 (in Chinese) [董建绩, 张新亮, 王阳, 黄德修 2008 物理学报 57 2222]
[6] Li Z, Wu C 2009 Opt. Lett. 34 830
[7] Velanas P, Bogris A, Argyris A, Syvridis D 2008 Lightwave Technology, Journal 26 3269
[8] Dong J, Zhang X, Xu J, Shum P, Huang D 2007 Optics Letters 32 1223
[9] Yao J 2009 IEEE Microwav. Mag 10 82
[10] Rivas L M, Singh K, Carballar A, Azana J 2007 Photonics Technology Letters, IEEE 19 1209
[11] Li M, Janner D, Yao J, Pruneri V 2009 Opt. Express 17 19798
[12] Park Y, Azana J, Slavik R 2007 Opt. Lett. 32 710
[13] Liu F, Wang T, Qiang L, Ye T, Zhang Z, Qiu M, Su Y 2008 Opt. Express 16 15880
[14] Yongwoo P, Asghari M H, Helsten R, Azana J 2010 Photonics Journal, IEEE 2 1040
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