Skip to main content
Top
Published in: Optical and Quantum Electronics 9/2018

01-09-2018

Mode conversion and absorption in an optical waveguide under cascaded complex modulations

Authors: Qing-jie Liu, Shao-lin Ke, Wei-wei Liu

Published in: Optical and Quantum Electronics | Issue 9/2018

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

We investigate the mode conversion in a dielectric waveguide under spatially complex modulation, which refers to modulating both the real and imaginary parts of the dielectric permittivity. The complex modulations are applied separately in two distinct regions in the waveguide. The mode conversion can be controlled by adjusting the initial phase difference of the modulations in the two cascaded regions and by varying the phase difference of real and imaginary modulations in each region. The former is analogous to an Aharonov–Bohm (AB) phase and the latter suggests a symmetric propagation phase. Comparing to one modulated region, the cascaded modulations could benefit to realizing laser, coherent perfect absorber, and bidirectional invisibility. The study may contribute to the applications in optical switches and mode converters.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Literature
go back to reference Cardimona, D.A., Sharma, M.P., Kovanis, V., Gavrielides, A.: Dephased index and gain coupling in distributed feedback lasers. IEEE J. Quantum Electron. 31, 60–66 (1995)ADSCrossRef Cardimona, D.A., Sharma, M.P., Kovanis, V., Gavrielides, A.: Dephased index and gain coupling in distributed feedback lasers. IEEE J. Quantum Electron. 31, 60–66 (1995)ADSCrossRef
go back to reference Chen, J., Wang, K., Long, H., Han, X., Hu, H., Liu, W., Wang, B., Lu, P.: Tungsten disulfide–gold nanohole hybrid metasurfaces for nonlinear metalenses in the visible region. Nano Lett. 18, 1344–1350 (2018)ADSCrossRef Chen, J., Wang, K., Long, H., Han, X., Hu, H., Liu, W., Wang, B., Lu, P.: Tungsten disulfide–gold nanohole hybrid metasurfaces for nonlinear metalenses in the visible region. Nano Lett. 18, 1344–1350 (2018)ADSCrossRef
go back to reference Chong, Y.D., Ge, L., Cao, H., Stone, A.D.: Coherent perfect absorbers: time-reversed lasers. Phys. Rev. Lett. 105, 053901 (2010)ADSCrossRef Chong, Y.D., Ge, L., Cao, H., Stone, A.D.: Coherent perfect absorbers: time-reversed lasers. Phys. Rev. Lett. 105, 053901 (2010)ADSCrossRef
go back to reference Chong, Y.D., Ge, L., Stone, A.D.: PT-symmetry breaking and laser-absorber modes in optical scattering systems. Phys. Rev. Lett. 106, 093902 (2011)ADSCrossRef Chong, Y.D., Ge, L., Stone, A.D.: PT-symmetry breaking and laser-absorber modes in optical scattering systems. Phys. Rev. Lett. 106, 093902 (2011)ADSCrossRef
go back to reference Dong, P., Preble, S.F., Robinson, J.T., Manipatruni, S., Lipson, M.: Inducing photonic transitions between discrete modes in a silicon optical microcavity. Phys. Rev. Lett. 100, 033904 (2008)ADSCrossRef Dong, P., Preble, S.F., Robinson, J.T., Manipatruni, S., Lipson, M.: Inducing photonic transitions between discrete modes in a silicon optical microcavity. Phys. Rev. Lett. 100, 033904 (2008)ADSCrossRef
go back to reference EI-Ganainy, R., Makris, K.G., Khajavikhan, M., Musslimani, Z.H., Rotter, S., Christodoulides, D.N.: Non-Hermitian physics and PT symmetry. Nat. Phys. 14, 11–19 (2017)CrossRef EI-Ganainy, R., Makris, K.G., Khajavikhan, M., Musslimani, Z.H., Rotter, S., Christodoulides, D.N.: Non-Hermitian physics and PT symmetry. Nat. Phys. 14, 11–19 (2017)CrossRef
go back to reference Fang, K., Yu, Z., Fan, S.: Photonic Aharonov–Bohm effect based on dynamic modulation. Phys. Rev. Lett. 108, 153901 (2012a)ADSCrossRef Fang, K., Yu, Z., Fan, S.: Photonic Aharonov–Bohm effect based on dynamic modulation. Phys. Rev. Lett. 108, 153901 (2012a)ADSCrossRef
go back to reference Fang, K., Yu, Z., Fan, S.: Realizing effective magnetic field for photons by controlling the phase of dynamic modulation. Nat. Photonics 6, 782–787 (2012b)ADSCrossRef Fang, K., Yu, Z., Fan, S.: Realizing effective magnetic field for photons by controlling the phase of dynamic modulation. Nat. Photonics 6, 782–787 (2012b)ADSCrossRef
go back to reference Feng, L., Ayache, M., Huang, J., Xu, Y., Lu, M., Chen, Y., Fainman, Y., Scherer, A.: Nonreciprocal light propagation in a silicon photonic circuit. Science 333, 729–733 (2011)ADSCrossRef Feng, L., Ayache, M., Huang, J., Xu, Y., Lu, M., Chen, Y., Fainman, Y., Scherer, A.: Nonreciprocal light propagation in a silicon photonic circuit. Science 333, 729–733 (2011)ADSCrossRef
go back to reference Feng, L., Xu, Y., Fegadolli, W.S., Lu, M., Oliveira, J.E.B., Almeida, V.R., Chen, Y., Scherer, A.: Experimental demonstration of a unidirectional reflectionless parity-time metamaterial at optical frequencies. Nat. Mater. 12, 108–113 (2013)ADSCrossRef Feng, L., Xu, Y., Fegadolli, W.S., Lu, M., Oliveira, J.E.B., Almeida, V.R., Chen, Y., Scherer, A.: Experimental demonstration of a unidirectional reflectionless parity-time metamaterial at optical frequencies. Nat. Mater. 12, 108–113 (2013)ADSCrossRef
go back to reference Ge, L., Chong, Y.D., Stone, A.D.: Conservation relations and anisotropic transmission resonances in one-dimensional PT-symmetric photonic heterostructures. Phys. Rev. A 85, 023802 (2012)ADSCrossRef Ge, L., Chong, Y.D., Stone, A.D.: Conservation relations and anisotropic transmission resonances in one-dimensional PT-symmetric photonic heterostructures. Phys. Rev. A 85, 023802 (2012)ADSCrossRef
go back to reference Greenberg, M., Orenstein, M.: Irreversible coupling by use of dissipative optics. Opt. Lett. 29, 451–453 (2004)ADSCrossRef Greenberg, M., Orenstein, M.: Irreversible coupling by use of dissipative optics. Opt. Lett. 29, 451–453 (2004)ADSCrossRef
go back to reference Greenberg, M., Orenstein, M.: Optical unidirectional devices by complex spatial single sideband perturbation. IEEE J. Quantum Electron. 41, 1013–1023 (2005)ADSCrossRef Greenberg, M., Orenstein, M.: Optical unidirectional devices by complex spatial single sideband perturbation. IEEE J. Quantum Electron. 41, 1013–1023 (2005)ADSCrossRef
go back to reference He, L., Zhang, Q., Lan, P., Cao, W., Zhu, X., Zhai, C., Wang, F., Shi, W., Li, M., Bian, X., Lu, P., Bandrauk, A.D.: Monitoring ultrafast vibrational dynamics of isotopic molecules with frequency modulation of high-order harmonics. Nat. Commun. 9, 1108 (2018a)ADSCrossRef He, L., Zhang, Q., Lan, P., Cao, W., Zhu, X., Zhai, C., Wang, F., Shi, W., Li, M., Bian, X., Lu, P., Bandrauk, A.D.: Monitoring ultrafast vibrational dynamics of isotopic molecules with frequency modulation of high-order harmonics. Nat. Commun. 9, 1108 (2018a)ADSCrossRef
go back to reference He, M., Li, Y., Zhou, Y., Li, M., Cao, W., Lu, P.: Direct visualization of valence electron motion using strong-field photoelectron holography. Phys. Rev. Lett. 120, 133204 (2018b)ADSCrossRef He, M., Li, Y., Zhou, Y., Li, M., Cao, W., Lu, P.: Direct visualization of valence electron motion using strong-field photoelectron holography. Phys. Rev. Lett. 120, 133204 (2018b)ADSCrossRef
go back to reference Hong, Z., Zhang, Q., Rezvani, S.A., Lan, P., Lu, P.: Tunable few-cycle pulses from a dual-chirped optical parametric amplifier pumped by broadband laser. Opt. Laser Technol. 98, 169–177 (2018)ADSCrossRef Hong, Z., Zhang, Q., Rezvani, S.A., Lan, P., Lu, P.: Tunable few-cycle pulses from a dual-chirped optical parametric amplifier pumped by broadband laser. Opt. Laser Technol. 98, 169–177 (2018)ADSCrossRef
go back to reference Huang, H., Ke, S., Wang, B., Long, H., Wang, K., Lu, P.: Numerical study on plasmonic absorption enhancement by a rippled graphene sheet. J. Lightwave Technol. 35, 320–324 (2017)ADSCrossRef Huang, H., Ke, S., Wang, B., Long, H., Wang, K., Lu, P.: Numerical study on plasmonic absorption enhancement by a rippled graphene sheet. J. Lightwave Technol. 35, 320–324 (2017)ADSCrossRef
go back to reference Ke, S., Wang, B., Long, H., Wang, K., Lu, P.: Topological mode switching in a graphene doublet with exceptional points. Opt. Quant. Electron. 49, 1–12 (2017)CrossRef Ke, S., Wang, B., Long, H., Wang, K., Lu, P.: Topological mode switching in a graphene doublet with exceptional points. Opt. Quant. Electron. 49, 1–12 (2017)CrossRef
go back to reference Ke, S., Zhao, D., Liu, Q., Wu, S., Wang, B., Lu, P.: Optical imaginary directional couplers. J. Lightwave Technol. 36, 2510–2516 (2018a)ADSCrossRef Ke, S., Zhao, D., Liu, Q., Wu, S., Wang, B., Lu, P.: Optical imaginary directional couplers. J. Lightwave Technol. 36, 2510–2516 (2018a)ADSCrossRef
go back to reference Ke, S., Liu, J., Liu, Q., Zhao, D., Liu, W.: Strong absorption near exceptional points in plasmonic waveguide arrays. Opt. Quant. Electron. 50, 318 (2018b)CrossRef Ke, S., Liu, J., Liu, Q., Zhao, D., Liu, W.: Strong absorption near exceptional points in plasmonic waveguide arrays. Opt. Quant. Electron. 50, 318 (2018b)CrossRef
go back to reference Koutserimpas, T.T., Fleury, R.: Nonreciprocal gain in non-hermitian time-floquet systems. Phys. Rev. Lett. 120, 087401 (2018)ADSCrossRef Koutserimpas, T.T., Fleury, R.: Nonreciprocal gain in non-hermitian time-floquet systems. Phys. Rev. Lett. 120, 087401 (2018)ADSCrossRef
go back to reference Koutserimpas, T.T., Alù, A., Fleury, R.: Parametric amplification and bidirectional invisibility in PT-symmetric time-Floquet systems. Phys. Rev. A 97, 013839 (2018)ADSCrossRef Koutserimpas, T.T., Alù, A., Fleury, R.: Parametric amplification and bidirectional invisibility in PT-symmetric time-Floquet systems. Phys. Rev. A 97, 013839 (2018)ADSCrossRef
go back to reference Kulishov, M., Laniel, J.M., Bélanger, N., Azaña, J., Plant, D.V.: Nonreciprocal waveguide Bragg gratings. Opt. Express 13, 3068–3078 (2005)ADSCrossRef Kulishov, M., Laniel, J.M., Bélanger, N., Azaña, J., Plant, D.V.: Nonreciprocal waveguide Bragg gratings. Opt. Express 13, 3068–3078 (2005)ADSCrossRef
go back to reference Lan, P., Marc, R., He, L., Zhai, C., Wang, F., Zhu, X., Zhang, Q., Zhou, Y., Li, M., Lein, M., Lu, P.: Attosecond probing of nuclear dynamics with trajectory-resolved high-harmonic spectroscopy. Phys. Rev. Lett. 119, 033201 (2017)ADSCrossRef Lan, P., Marc, R., He, L., Zhai, C., Wang, F., Zhu, X., Zhang, Q., Zhou, Y., Li, M., Lein, M., Lu, P.: Attosecond probing of nuclear dynamics with trajectory-resolved high-harmonic spectroscopy. Phys. Rev. Lett. 119, 033201 (2017)ADSCrossRef
go back to reference Lawrence, M., Xu, N., Zhang, X., Cong, L., Han, J., Zhang, W., Zhang, S.: Manifestation of PT symmetry breaking in polarization space with terahertz metasurfaces. Phys. Rev. Lett. 113, 093901 (2014)ADSCrossRef Lawrence, M., Xu, N., Zhang, X., Cong, L., Han, J., Zhang, W., Zhang, S.: Manifestation of PT symmetry breaking in polarization space with terahertz metasurfaces. Phys. Rev. Lett. 113, 093901 (2014)ADSCrossRef
go back to reference Li, E., Eggleton, B.J., Fang, K., Fan, S.: Photonic Aharonov–Bohm effect in photon-phonon interactions. Nat. Commun. 5, 3225 (2014)ADSCrossRef Li, E., Eggleton, B.J., Fang, K., Fan, S.: Photonic Aharonov–Bohm effect in photon-phonon interactions. Nat. Commun. 5, 3225 (2014)ADSCrossRef
go back to reference Li, L., Lan, P., He, L., Zhu, X., Chen, J., Lu, P.: Scaling law of high harmonic generation in the framework of photon channels. Phys. Rev. Lett. 120, 223203 (2018a)ADSCrossRef Li, L., Lan, P., He, L., Zhu, X., Chen, J., Lu, P.: Scaling law of high harmonic generation in the framework of photon channels. Phys. Rev. Lett. 120, 223203 (2018a)ADSCrossRef
go back to reference Li, L., Lan, P., Liu, X., He, L., Zhu, X., Mücke, O.D., Lu, P.: Method for direct observation of Bloch oscillations in semiconductors. Opt. Express 26, 23844–23853 (2018b)CrossRef Li, L., Lan, P., Liu, X., He, L., Zhu, X., Mücke, O.D., Lu, P.: Method for direct observation of Bloch oscillations in semiconductors. Opt. Express 26, 23844–23853 (2018b)CrossRef
go back to reference Lin, Z., Ramezani, H., Eichelkraut, T., Kottos, T., Cao, H., Christodoulides, D.N.: Unidirectional invisibility induced by PT-symmetric periodic structures. Phys. Rev. Lett. 106, 213901 (2011)ADSCrossRef Lin, Z., Ramezani, H., Eichelkraut, T., Kottos, T., Cao, H., Christodoulides, D.N.: Unidirectional invisibility induced by PT-symmetric periodic structures. Phys. Rev. Lett. 106, 213901 (2011)ADSCrossRef
go back to reference Longhi, S.: Half-spectral unidirectional invisibility in non-Hermitian periodic optical structures. Opt. Lett. 40, 5694–5697 (2015)ADSCrossRef Longhi, S.: Half-spectral unidirectional invisibility in non-Hermitian periodic optical structures. Opt. Lett. 40, 5694–5697 (2015)ADSCrossRef
go back to reference Ma, X., Zhou, Y., Li, N., Li, M., Lu, P.: Attosecond control of correlated electron dynamics in strong-field nonsequential double ionization by parallel two-color pulses. Opt. Laser Technol. 108, 235–240 (2018)ADSCrossRef Ma, X., Zhou, Y., Li, N., Li, M., Lu, P.: Attosecond control of correlated electron dynamics in strong-field nonsequential double ionization by parallel two-color pulses. Opt. Laser Technol. 108, 235–240 (2018)ADSCrossRef
go back to reference Qin, C., Zhou, F., Peng, Y., Sounas, D., Zhu, X., Wang, B., Dong, J., Zhang, X., Alù, A., Lu, P.: Spectrum control through discrete frequency diffraction in the presence of photonic gauge potentials. Phys. Rev. Lett. 120, 133901 (2018)ADSCrossRef Qin, C., Zhou, F., Peng, Y., Sounas, D., Zhu, X., Wang, B., Dong, J., Zhang, X., Alù, A., Lu, P.: Spectrum control through discrete frequency diffraction in the presence of photonic gauge potentials. Phys. Rev. Lett. 120, 133901 (2018)ADSCrossRef
go back to reference Regensburger, A., Bersch, C., Miri, M.A., Onishchukov, G., Christodoulides, D.N., Peschel, U.: Parity-time synthetic photonic lattices. Nature 488, 167–171 (2012)ADSCrossRef Regensburger, A., Bersch, C., Miri, M.A., Onishchukov, G., Christodoulides, D.N., Peschel, U.: Parity-time synthetic photonic lattices. Nature 488, 167–171 (2012)ADSCrossRef
go back to reference Rüter, C.E., Makris, K.G., El-Ganainy, R., Christodoulides, D.N., Segev, M., Kip, D.: Observation of parity–time symmetry in optics. Nat. Phys. 6, 192–195 (2010)CrossRef Rüter, C.E., Makris, K.G., El-Ganainy, R., Christodoulides, D.N., Segev, M., Kip, D.: Observation of parity–time symmetry in optics. Nat. Phys. 6, 192–195 (2010)CrossRef
go back to reference Tan, J., Li, Y., Zhou, Y., He, M., Chen, Y., Li, M., Lu, P.: Identifying the contributions of multiple-returning recollision orbits in strong-field above-threshold ionization. Opt. Quant. Electron. 50, 57 (2018)CrossRef Tan, J., Li, Y., Zhou, Y., He, M., Chen, Y., Li, M., Lu, P.: Identifying the contributions of multiple-returning recollision orbits in strong-field above-threshold ionization. Opt. Quant. Electron. 50, 57 (2018)CrossRef
go back to reference Wang, F., Ke, S., Qin, C., Wang, B., Long, H., Wang, K., Lu, P.: Topological interface modes in graphene multilayer arrays. Opt. Laser Technol. 103, 272–278 (2018a)ADSCrossRef Wang, F., Ke, S., Qin, C., Wang, B., Long, H., Wang, K., Lu, P.: Topological interface modes in graphene multilayer arrays. Opt. Laser Technol. 103, 272–278 (2018a)ADSCrossRef
go back to reference Wang, S., Qin, C., Wang, B., Lu, P.: Discrete temporal Talbot effect in synthetic mesh lattices. Opt. Express 26, 19235–19246 (2018b)ADSCrossRef Wang, S., Qin, C., Wang, B., Lu, P.: Discrete temporal Talbot effect in synthetic mesh lattices. Opt. Express 26, 19235–19246 (2018b)ADSCrossRef
go back to reference Xie, H., Li, M., Luo, S., Li, Y., Tan, J., Zhou, Y., Cao, W., Lu, P.: Photoelectron holography and forward scattering in atomic ionization by elliptically polarized laser pulses. Opt. Lett. 43, 3220–3223 (2018)ADSCrossRef Xie, H., Li, M., Luo, S., Li, Y., Tan, J., Zhou, Y., Cao, W., Lu, P.: Photoelectron holography and forward scattering in atomic ionization by elliptically polarized laser pulses. Opt. Lett. 43, 3220–3223 (2018)ADSCrossRef
go back to reference Yu, Z., Fan, S.: Complete optical isolation created by indirect interband photonic transitions. Nat. Photonics 3, 91–94 (2009)ADSCrossRef Yu, Z., Fan, S.: Complete optical isolation created by indirect interband photonic transitions. Nat. Photonics 3, 91–94 (2009)ADSCrossRef
go back to reference Yuan, L., Fan, S.: Bloch oscillation and unidirectional translation of frequency in a dynamically modulated ring resonator. Optica 3, 1014–1018 (2016)CrossRef Yuan, L., Fan, S.: Bloch oscillation and unidirectional translation of frequency in a dynamically modulated ring resonator. Optica 3, 1014–1018 (2016)CrossRef
go back to reference Zhao, D., Wang, Z., Long, H., Wang, K., Wang, B., Lu, P.: Optical bistability in defective photonic multilayers doped by graphene. Opt. Quant. Electron. 49, 163 (2017)CrossRef Zhao, D., Wang, Z., Long, H., Wang, K., Wang, B., Lu, P.: Optical bistability in defective photonic multilayers doped by graphene. Opt. Quant. Electron. 49, 163 (2017)CrossRef
go back to reference Zhao, D., Liu, W., Ke, S., Liu, Q.: Large lateral shift in complex dielectric multilayers with nearly parity-time symmetry. Opt. Quant. Electron. 50, 323 (2018)CrossRef Zhao, D., Liu, W., Ke, S., Liu, Q.: Large lateral shift in complex dielectric multilayers with nearly parity-time symmetry. Opt. Quant. Electron. 50, 323 (2018)CrossRef
go back to reference Zhou, Y., Tolstikhin, O.I., Morishita, T.: Near-forward rescattering photoelectron holography in strong-field ionization: Extraction of the phase of the scattering amplitude. Phys. Rev. Lett. 116, 173001 (2016)ADSCrossRef Zhou, Y., Tolstikhin, O.I., Morishita, T.: Near-forward rescattering photoelectron holography in strong-field ionization: Extraction of the phase of the scattering amplitude. Phys. Rev. Lett. 116, 173001 (2016)ADSCrossRef
Metadata
Title
Mode conversion and absorption in an optical waveguide under cascaded complex modulations
Authors
Qing-jie Liu
Shao-lin Ke
Wei-wei Liu
Publication date
01-09-2018
Publisher
Springer US
Published in
Optical and Quantum Electronics / Issue 9/2018
Print ISSN: 0306-8919
Electronic ISSN: 1572-817X
DOI
https://doi.org/10.1007/s11082-018-1617-7

Other articles of this Issue 9/2018

Optical and Quantum Electronics 9/2018 Go to the issue