Nonlinear behavior of the population dynamics of three-level systems in the presence of single photon absorption
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摘要
We numerically investigate the population dynamics in a single photon resonant three-level cascade and non-cascade energy level molecules at 532-nm wavelength. The time-dependent population in the energy levels in the presence of 100 ps(pico-second) and 100 ns(nano-second) laser pulses is described in the form of rate equations. We provide a brief idea of how the optical energy transfer takes place in the light-matter interaction and we also discuss the absorption as a function of pulse width and repetition rate. We also plot the z-scan transmittance curve as a function of number of excitation pulses participating in the absorption.
We numerically investigate the population dynamics in a single photon resonant three-level cascade and non-cascade energy level molecules at 532-nm wavelength. The time-dependent population in the energy levels in the presence of 100 ps(pico-second) and 100 ns(nano-second) laser pulses is described in the form of rate equations. We provide a brief idea of how the optical energy transfer takes place in the light-matter interaction and we also discuss the absorption as a function of pulse width and repetition rate. We also plot the z-scan transmittance curve as a function of number of excitation pulses participating in the absorption.
We numerically investigate the population dynamics in a single photon resonant three-level cascade and non-cascade energy level molecules at 532-nm wavelength. The time-dependent population in the energy levels in the presence of 100 ps(pico-second) and 100 ns(nano-second) laser pulses is described in the form of rate equations. We provide a brief idea of how the optical energy transfer takes place in the light-matter interaction and we also discuss the absorption as a function of pulse width and repetition rate. We also plot the z-scan transmittance curve as a function of number of excitation pulses participating in the absorption.
引文
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[2]Rao A S,Dar M H,Venkatramaiah N,Venkatesan R and Sharan A 2016J.Non.Opt.Phys.Mater.25 1650039
[3]Ryasnyansky A,Palpant B,Debrus S,Ganeev R,Stepanov A,Can N,Buchal C and Uysal S 2005 Appl.Opt.44 2839
[4]Allam S R 2015 Laser Phys.25 055701
[5]Pramodini S,Sudhakar Y N,SelvaKumar M and Poornesh P 2014Laser Phys.24 045408
[6]Chakravarthy G,Allam S R,Sharan A,Ghosh O S N,Gayathri S,Viswanath A K,Prabhakar M N and Song J I 2016 J.Non.Opt.Phys.Mater.25 1650019
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[10]Moore C B 2012 Chemical and biochemical applications of lasers(Elsevier)
[11]Rusak D A,Castle B C,Smith B W and Winefordner J D F 1997 Cri.Rev.Anal.Chem.1 257
[12]Sutherland R L 2003 Handbook of nonlinear optics,Chapters 9 and 10(CRC Press)
[13]Allam S R,Dar M H,Venkatramaiah N,Venkatesan R and Sharan A2015 IOP Conf.Ser.Mater.Sci.Eng.73 012023
[14]Abrams R L and Lind R C 1978 Opt.Lett.2 94
[15]Ulman M,Bailey D W,Acioli L H,Vallee F G,Stanton C J,Ippen E Pand Fujimoto J G 1993 Phys.Rev.B 47 10267
[16]Haran G,Sun W D,Wynne K and Hochstrasser R M 1997 Chem.Phys.Lett.274 365
[17]Ershov A E,Gavrilyuk A P,Karpov S V and Semina P N 2015 Chin.Phys.B 24 047804
[18]Yang C,Gu C L,Liu Y,Wang C,Li J and Li W X 2018 Acta Phys.Sin.67 094206(in Chinese)
[19]Mu H,Wang Z,Yuan J,Xiao S,Chen C,Chen Y,Chen Y,Song J,Wang Y,Xue Y and Zhang H 2015 ACS Photon.2 832
[20]Ponraj J S,Xu Z Q,Dhanabalan S C,Mu H,Wang Y,Yuan J,Li P,Thakur S,Ashrafi M,Mccoubrey K and Zhang Y 2016 Nanotechnol.27 462001
[21]Lin Y G,Wang Q,Li Y,Meng F,Lin B K,Zang E J,Sun Z,Fang F,Li T C and Fang Z J 2015 Chin.Phys.Lett.32 090601
[22]Liu C,Zhou S,Wang Y H and Hou S M 2017 Chin.Phys.B 26 113201
[23]Wei X Y,Tu Z W,Liu C,Li H L and Xu H L 2016 Chin.Phys.Lett.33054201
[24]Xiang L,Zhang X,Zhang J W,Ning Y Q,Hofmann W and Wang L J2017 Chin.Phys.B 26 074209
[25]Sheik-Bahae M,Said A A and Van Stryland E W 1989 Opt.Lett.14955
[26]Rao A S 2018 Optik 158 652
[27]Vijayakumar S,Adithya A,Sharafudeen K N,Balakrishna K and Chandrasekharan K 2010 J.Mod.Opt.57 670
[28]Rao S 2018 Optik 157 900
[29]Krishna M B M,Venkatramaiah N,Venkatesan R and Rao D N 2012 J.Mater.Chem.22 3059
[30]Allam S R and Sharan A 2017 J.Opt.46 486
[31]Sharma K K,Rao K D and Kumar G R 1994 Opt.Quantum Electron.26 1
[32]De Boni L,Andrade A A,Correa D S,Balogh D T,Zilio S C,Misoguti L and Mendonca C R 2004 J.Phys.Chem.B 108 5221
[33]Krishna M B M,Kumar V P,Venkatramaiah N,Venkatesan R and Rao D N 2011 Appl.Phys.Lett.98 081106
[34]Barbosa N N M,Oliveira S L,Misoguti L,Mendonc?a C R,Gonc?alves P J,Borissevitch I E,Dinelli L R,Romualdo L L,Batista A A,and Zilio S C 2006 J.Appl.Phys.99 123103
[35]Rao A S 2019 Optik 179 222
[36]Liu H,Jiang K L,Wang J Q,Xiong Z X,He L X and Lu B L 2018Chin.Phys.B 27 053201
[37]Su N,Li P X,Xiao K,Wang X X,Liu J G,Shao Y and Su M 2017Chin.Phys.B 26 074210
[38]Wang Q,Duan J,Qi X H,Zhang Y and Chen X Z 2015 Chin.Phys.Lett.32 054206
[39]Zhou Q,Chang P Y,Liu Z Z,Zhang X G,Zhu C W and Chen J B 2017Chin.Phys.Lett.34 034208
[40]Luo W and Duan C X 2016 Chin.Phys.Lett.33 024207
[41]Sun M G,Ma H L,Liu Q,Cao Z S,Wang G S,Liu K,Huang Y B,Gao X M and Rao R Z 2018 Acta Phys.Sin.67 064206(in Chinese)
[42]Woutersen A,Emmerichs U and Bakker H J 1997 Science 278 658
[43]Joffre M,Hulin D,Migus A,Antonetti A,′a la Guillaume C,Peyghambarian N,Lindberg M and Koch S W 1988 Opt.Lett.13 276
[44]Jia M Y,Zhao G,Zhou Y T,Liu J X,Guo S J,Wu Y Q,Ma W G,Zhang L,Dong L,Yin W B,Xiao L T and Jia S T 2018 Acta Phys.Sin.67 104207(in Chinese)
[45]Kang P,Sun Y,Wang J,Liu A W and Hu S M 2018 Acta Phys.Sin.67104206(in Chinese)
[46]Ma J,Lu S,Guo Z,Xu X,Zhang H,Tang D and Fan D 2015 Opt.Express 23 22643
[2]Rao A S,Dar M H,Venkatramaiah N,Venkatesan R and Sharan A 2016J.Non.Opt.Phys.Mater.25 1650039
[3]Ryasnyansky A,Palpant B,Debrus S,Ganeev R,Stepanov A,Can N,Buchal C and Uysal S 2005 Appl.Opt.44 2839
[4]Allam S R 2015 Laser Phys.25 055701
[5]Pramodini S,Sudhakar Y N,SelvaKumar M and Poornesh P 2014Laser Phys.24 045408
[6]Chakravarthy G,Allam S R,Sharan A,Ghosh O S N,Gayathri S,Viswanath A K,Prabhakar M N and Song J I 2016 J.Non.Opt.Phys.Mater.25 1650019
[7]Kumar R S S,Rao S V,Giribabu L and Rao D N 2007 Chem.Phys.Lett.447 274
[8]Saripalli R K,Katturi N K,Soma V R,Bhat H L and Elizabeth S 2017J.Appl.Phys.122 223110
[9]Ready J F 1997 Industrial applications of lasers(Elsevier)
[10]Moore C B 2012 Chemical and biochemical applications of lasers(Elsevier)
[11]Rusak D A,Castle B C,Smith B W and Winefordner J D F 1997 Cri.Rev.Anal.Chem.1 257
[12]Sutherland R L 2003 Handbook of nonlinear optics,Chapters 9 and 10(CRC Press)
[13]Allam S R,Dar M H,Venkatramaiah N,Venkatesan R and Sharan A2015 IOP Conf.Ser.Mater.Sci.Eng.73 012023
[14]Abrams R L and Lind R C 1978 Opt.Lett.2 94
[15]Ulman M,Bailey D W,Acioli L H,Vallee F G,Stanton C J,Ippen E Pand Fujimoto J G 1993 Phys.Rev.B 47 10267
[16]Haran G,Sun W D,Wynne K and Hochstrasser R M 1997 Chem.Phys.Lett.274 365
[17]Ershov A E,Gavrilyuk A P,Karpov S V and Semina P N 2015 Chin.Phys.B 24 047804
[18]Yang C,Gu C L,Liu Y,Wang C,Li J and Li W X 2018 Acta Phys.Sin.67 094206(in Chinese)
[19]Mu H,Wang Z,Yuan J,Xiao S,Chen C,Chen Y,Chen Y,Song J,Wang Y,Xue Y and Zhang H 2015 ACS Photon.2 832
[20]Ponraj J S,Xu Z Q,Dhanabalan S C,Mu H,Wang Y,Yuan J,Li P,Thakur S,Ashrafi M,Mccoubrey K and Zhang Y 2016 Nanotechnol.27 462001
[21]Lin Y G,Wang Q,Li Y,Meng F,Lin B K,Zang E J,Sun Z,Fang F,Li T C and Fang Z J 2015 Chin.Phys.Lett.32 090601
[22]Liu C,Zhou S,Wang Y H and Hou S M 2017 Chin.Phys.B 26 113201
[23]Wei X Y,Tu Z W,Liu C,Li H L and Xu H L 2016 Chin.Phys.Lett.33054201
[24]Xiang L,Zhang X,Zhang J W,Ning Y Q,Hofmann W and Wang L J2017 Chin.Phys.B 26 074209
[25]Sheik-Bahae M,Said A A and Van Stryland E W 1989 Opt.Lett.14955
[26]Rao A S 2018 Optik 158 652
[27]Vijayakumar S,Adithya A,Sharafudeen K N,Balakrishna K and Chandrasekharan K 2010 J.Mod.Opt.57 670
[28]Rao S 2018 Optik 157 900
[29]Krishna M B M,Venkatramaiah N,Venkatesan R and Rao D N 2012 J.Mater.Chem.22 3059
[30]Allam S R and Sharan A 2017 J.Opt.46 486
[31]Sharma K K,Rao K D and Kumar G R 1994 Opt.Quantum Electron.26 1
[32]De Boni L,Andrade A A,Correa D S,Balogh D T,Zilio S C,Misoguti L and Mendonca C R 2004 J.Phys.Chem.B 108 5221
[33]Krishna M B M,Kumar V P,Venkatramaiah N,Venkatesan R and Rao D N 2011 Appl.Phys.Lett.98 081106
[34]Barbosa N N M,Oliveira S L,Misoguti L,Mendonc?a C R,Gonc?alves P J,Borissevitch I E,Dinelli L R,Romualdo L L,Batista A A,and Zilio S C 2006 J.Appl.Phys.99 123103
[35]Rao A S 2019 Optik 179 222
[36]Liu H,Jiang K L,Wang J Q,Xiong Z X,He L X and Lu B L 2018Chin.Phys.B 27 053201
[37]Su N,Li P X,Xiao K,Wang X X,Liu J G,Shao Y and Su M 2017Chin.Phys.B 26 074210
[38]Wang Q,Duan J,Qi X H,Zhang Y and Chen X Z 2015 Chin.Phys.Lett.32 054206
[39]Zhou Q,Chang P Y,Liu Z Z,Zhang X G,Zhu C W and Chen J B 2017Chin.Phys.Lett.34 034208
[40]Luo W and Duan C X 2016 Chin.Phys.Lett.33 024207
[41]Sun M G,Ma H L,Liu Q,Cao Z S,Wang G S,Liu K,Huang Y B,Gao X M and Rao R Z 2018 Acta Phys.Sin.67 064206(in Chinese)
[42]Woutersen A,Emmerichs U and Bakker H J 1997 Science 278 658
[43]Joffre M,Hulin D,Migus A,Antonetti A,′a la Guillaume C,Peyghambarian N,Lindberg M and Koch S W 1988 Opt.Lett.13 276
[44]Jia M Y,Zhao G,Zhou Y T,Liu J X,Guo S J,Wu Y Q,Ma W G,Zhang L,Dong L,Yin W B,Xiao L T and Jia S T 2018 Acta Phys.Sin.67 104207(in Chinese)
[45]Kang P,Sun Y,Wang J,Liu A W and Hu S M 2018 Acta Phys.Sin.67104206(in Chinese)
[46]Ma J,Lu S,Guo Z,Xu X,Zhang H,Tang D and Fan D 2015 Opt.Express 23 22643