Surface Impedance and Bulk Band Geometric Phases in One-Dimensional Systems

Surface impedance is an important concept in classical wave systems such as photonic crystals (PCs). For example, the condition of an interface state formation in the interfacial region of two different one-dimensional PCs is simplyZ_{SL}+Z_{SR}=0, where Z_{SL}(Z_{SR})is the surface impedance of the...
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Autor*in:	Meng Xiao [verfasserIn] Z. Q. Zhang [verfasserIn] C. T. Chan [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2014

Übergeordnetes Werk:	In: Physical Review X - American Physical Society, 2011, 4(2014), 2, p 021017
Übergeordnetes Werk:	volume:4 ; year:2014 ; number:2, p 021017

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DOI / URN:	10.1103/PhysRevX.4.021017

Katalog-ID:	DOAJ071532129

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520			\|a Surface impedance is an important concept in classical wave systems such as photonic crystals (PCs). For example, the condition of an interface state formation in the interfacial region of two different one-dimensional PCs is simplyZ_{SL}+Z_{SR}=0, where Z_{SL}(Z_{SR})is the surface impedance of the semi-infinite PC on the left-hand (right-hand) side of the interface. Here, we also show a rigorous relation between the surface impedance of a one-dimensional PC and its bulk properties through the geometrical (Zak) phases of the bulk bands, which can be used to determine the existence or nonexistence of interface states at the interface of the two PCs in a particular band gap. Our results hold for any PCs with inversion symmetry, independent of the frequency of the gap and the symmetry point where the gap lies in the Brillouin zone. Our results provide new insights into the relationship between surface scattering properties, the bulk band properties, and the formation of interface states, which in turn can enable the design of systems with interface states in a rational manner.
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allfields	10.1103/PhysRevX.4.021017 doi (DE-627)DOAJ071532129 (DE-599)DOAJ7b365731a6a54272a426961443de9c25 DE-627 ger DE-627 rakwb eng QC1-999 Meng Xiao verfasserin aut Surface Impedance and Bulk Band Geometric Phases in One-Dimensional Systems 2014 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Surface impedance is an important concept in classical wave systems such as photonic crystals (PCs). For example, the condition of an interface state formation in the interfacial region of two different one-dimensional PCs is simplyZ_{SL}+Z_{SR}=0, where Z_{SL}(Z_{SR})is the surface impedance of the semi-infinite PC on the left-hand (right-hand) side of the interface. Here, we also show a rigorous relation between the surface impedance of a one-dimensional PC and its bulk properties through the geometrical (Zak) phases of the bulk bands, which can be used to determine the existence or nonexistence of interface states at the interface of the two PCs in a particular band gap. Our results hold for any PCs with inversion symmetry, independent of the frequency of the gap and the symmetry point where the gap lies in the Brillouin zone. Our results provide new insights into the relationship between surface scattering properties, the bulk band properties, and the formation of interface states, which in turn can enable the design of systems with interface states in a rational manner. Physics Z. Q. Zhang verfasserin aut C. T. Chan verfasserin aut In Physical Review X American Physical Society, 2011 4(2014), 2, p 021017 (DE-627)666214115 (DE-600)2622565-7 21603308 nnns volume:4 year:2014 number:2, p 021017 https://doi.org/10.1103/PhysRevX.4.021017 kostenfrei https://doaj.org/article/7b365731a6a54272a426961443de9c25 kostenfrei http://doi.org/10.1103/PhysRevX.4.021017 kostenfrei http://doi.org/10.1103/PhysRevX.4.021017 kostenfrei https://doaj.org/toc/2160-3308 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 4 2014 2, p 021017
spelling	10.1103/PhysRevX.4.021017 doi (DE-627)DOAJ071532129 (DE-599)DOAJ7b365731a6a54272a426961443de9c25 DE-627 ger DE-627 rakwb eng QC1-999 Meng Xiao verfasserin aut Surface Impedance and Bulk Band Geometric Phases in One-Dimensional Systems 2014 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Surface impedance is an important concept in classical wave systems such as photonic crystals (PCs). For example, the condition of an interface state formation in the interfacial region of two different one-dimensional PCs is simplyZ_{SL}+Z_{SR}=0, where Z_{SL}(Z_{SR})is the surface impedance of the semi-infinite PC on the left-hand (right-hand) side of the interface. Here, we also show a rigorous relation between the surface impedance of a one-dimensional PC and its bulk properties through the geometrical (Zak) phases of the bulk bands, which can be used to determine the existence or nonexistence of interface states at the interface of the two PCs in a particular band gap. Our results hold for any PCs with inversion symmetry, independent of the frequency of the gap and the symmetry point where the gap lies in the Brillouin zone. Our results provide new insights into the relationship between surface scattering properties, the bulk band properties, and the formation of interface states, which in turn can enable the design of systems with interface states in a rational manner. Physics Z. Q. Zhang verfasserin aut C. T. Chan verfasserin aut In Physical Review X American Physical Society, 2011 4(2014), 2, p 021017 (DE-627)666214115 (DE-600)2622565-7 21603308 nnns volume:4 year:2014 number:2, p 021017 https://doi.org/10.1103/PhysRevX.4.021017 kostenfrei https://doaj.org/article/7b365731a6a54272a426961443de9c25 kostenfrei http://doi.org/10.1103/PhysRevX.4.021017 kostenfrei http://doi.org/10.1103/PhysRevX.4.021017 kostenfrei https://doaj.org/toc/2160-3308 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 4 2014 2, p 021017
allfields_unstemmed	10.1103/PhysRevX.4.021017 doi (DE-627)DOAJ071532129 (DE-599)DOAJ7b365731a6a54272a426961443de9c25 DE-627 ger DE-627 rakwb eng QC1-999 Meng Xiao verfasserin aut Surface Impedance and Bulk Band Geometric Phases in One-Dimensional Systems 2014 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Surface impedance is an important concept in classical wave systems such as photonic crystals (PCs). For example, the condition of an interface state formation in the interfacial region of two different one-dimensional PCs is simplyZ_{SL}+Z_{SR}=0, where Z_{SL}(Z_{SR})is the surface impedance of the semi-infinite PC on the left-hand (right-hand) side of the interface. Here, we also show a rigorous relation between the surface impedance of a one-dimensional PC and its bulk properties through the geometrical (Zak) phases of the bulk bands, which can be used to determine the existence or nonexistence of interface states at the interface of the two PCs in a particular band gap. Our results hold for any PCs with inversion symmetry, independent of the frequency of the gap and the symmetry point where the gap lies in the Brillouin zone. Our results provide new insights into the relationship between surface scattering properties, the bulk band properties, and the formation of interface states, which in turn can enable the design of systems with interface states in a rational manner. Physics Z. Q. Zhang verfasserin aut C. T. Chan verfasserin aut In Physical Review X American Physical Society, 2011 4(2014), 2, p 021017 (DE-627)666214115 (DE-600)2622565-7 21603308 nnns volume:4 year:2014 number:2, p 021017 https://doi.org/10.1103/PhysRevX.4.021017 kostenfrei https://doaj.org/article/7b365731a6a54272a426961443de9c25 kostenfrei http://doi.org/10.1103/PhysRevX.4.021017 kostenfrei http://doi.org/10.1103/PhysRevX.4.021017 kostenfrei https://doaj.org/toc/2160-3308 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 4 2014 2, p 021017
allfieldsGer	10.1103/PhysRevX.4.021017 doi (DE-627)DOAJ071532129 (DE-599)DOAJ7b365731a6a54272a426961443de9c25 DE-627 ger DE-627 rakwb eng QC1-999 Meng Xiao verfasserin aut Surface Impedance and Bulk Band Geometric Phases in One-Dimensional Systems 2014 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Surface impedance is an important concept in classical wave systems such as photonic crystals (PCs). For example, the condition of an interface state formation in the interfacial region of two different one-dimensional PCs is simplyZ_{SL}+Z_{SR}=0, where Z_{SL}(Z_{SR})is the surface impedance of the semi-infinite PC on the left-hand (right-hand) side of the interface. Here, we also show a rigorous relation between the surface impedance of a one-dimensional PC and its bulk properties through the geometrical (Zak) phases of the bulk bands, which can be used to determine the existence or nonexistence of interface states at the interface of the two PCs in a particular band gap. Our results hold for any PCs with inversion symmetry, independent of the frequency of the gap and the symmetry point where the gap lies in the Brillouin zone. Our results provide new insights into the relationship between surface scattering properties, the bulk band properties, and the formation of interface states, which in turn can enable the design of systems with interface states in a rational manner. Physics Z. Q. Zhang verfasserin aut C. T. Chan verfasserin aut In Physical Review X American Physical Society, 2011 4(2014), 2, p 021017 (DE-627)666214115 (DE-600)2622565-7 21603308 nnns volume:4 year:2014 number:2, p 021017 https://doi.org/10.1103/PhysRevX.4.021017 kostenfrei https://doaj.org/article/7b365731a6a54272a426961443de9c25 kostenfrei http://doi.org/10.1103/PhysRevX.4.021017 kostenfrei http://doi.org/10.1103/PhysRevX.4.021017 kostenfrei https://doaj.org/toc/2160-3308 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 4 2014 2, p 021017
allfieldsSound	10.1103/PhysRevX.4.021017 doi (DE-627)DOAJ071532129 (DE-599)DOAJ7b365731a6a54272a426961443de9c25 DE-627 ger DE-627 rakwb eng QC1-999 Meng Xiao verfasserin aut Surface Impedance and Bulk Band Geometric Phases in One-Dimensional Systems 2014 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Surface impedance is an important concept in classical wave systems such as photonic crystals (PCs). For example, the condition of an interface state formation in the interfacial region of two different one-dimensional PCs is simplyZ_{SL}+Z_{SR}=0, where Z_{SL}(Z_{SR})is the surface impedance of the semi-infinite PC on the left-hand (right-hand) side of the interface. Here, we also show a rigorous relation between the surface impedance of a one-dimensional PC and its bulk properties through the geometrical (Zak) phases of the bulk bands, which can be used to determine the existence or nonexistence of interface states at the interface of the two PCs in a particular band gap. Our results hold for any PCs with inversion symmetry, independent of the frequency of the gap and the symmetry point where the gap lies in the Brillouin zone. Our results provide new insights into the relationship between surface scattering properties, the bulk band properties, and the formation of interface states, which in turn can enable the design of systems with interface states in a rational manner. Physics Z. Q. Zhang verfasserin aut C. T. Chan verfasserin aut In Physical Review X American Physical Society, 2011 4(2014), 2, p 021017 (DE-627)666214115 (DE-600)2622565-7 21603308 nnns volume:4 year:2014 number:2, p 021017 https://doi.org/10.1103/PhysRevX.4.021017 kostenfrei https://doaj.org/article/7b365731a6a54272a426961443de9c25 kostenfrei http://doi.org/10.1103/PhysRevX.4.021017 kostenfrei http://doi.org/10.1103/PhysRevX.4.021017 kostenfrei https://doaj.org/toc/2160-3308 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 4 2014 2, p 021017
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author	Meng Xiao
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topic_title	QC1-999 Surface Impedance and Bulk Band Geometric Phases in One-Dimensional Systems
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title	Surface Impedance and Bulk Band Geometric Phases in One-Dimensional Systems
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title_auth	Surface Impedance and Bulk Band Geometric Phases in One-Dimensional Systems
abstract	Surface impedance is an important concept in classical wave systems such as photonic crystals (PCs). For example, the condition of an interface state formation in the interfacial region of two different one-dimensional PCs is simplyZ_{SL}+Z_{SR}=0, where Z_{SL}(Z_{SR})is the surface impedance of the semi-infinite PC on the left-hand (right-hand) side of the interface. Here, we also show a rigorous relation between the surface impedance of a one-dimensional PC and its bulk properties through the geometrical (Zak) phases of the bulk bands, which can be used to determine the existence or nonexistence of interface states at the interface of the two PCs in a particular band gap. Our results hold for any PCs with inversion symmetry, independent of the frequency of the gap and the symmetry point where the gap lies in the Brillouin zone. Our results provide new insights into the relationship between surface scattering properties, the bulk band properties, and the formation of interface states, which in turn can enable the design of systems with interface states in a rational manner.
abstractGer	Surface impedance is an important concept in classical wave systems such as photonic crystals (PCs). For example, the condition of an interface state formation in the interfacial region of two different one-dimensional PCs is simplyZ_{SL}+Z_{SR}=0, where Z_{SL}(Z_{SR})is the surface impedance of the semi-infinite PC on the left-hand (right-hand) side of the interface. Here, we also show a rigorous relation between the surface impedance of a one-dimensional PC and its bulk properties through the geometrical (Zak) phases of the bulk bands, which can be used to determine the existence or nonexistence of interface states at the interface of the two PCs in a particular band gap. Our results hold for any PCs with inversion symmetry, independent of the frequency of the gap and the symmetry point where the gap lies in the Brillouin zone. Our results provide new insights into the relationship between surface scattering properties, the bulk band properties, and the formation of interface states, which in turn can enable the design of systems with interface states in a rational manner.
abstract_unstemmed	Surface impedance is an important concept in classical wave systems such as photonic crystals (PCs). For example, the condition of an interface state formation in the interfacial region of two different one-dimensional PCs is simplyZ_{SL}+Z_{SR}=0, where Z_{SL}(Z_{SR})is the surface impedance of the semi-infinite PC on the left-hand (right-hand) side of the interface. Here, we also show a rigorous relation between the surface impedance of a one-dimensional PC and its bulk properties through the geometrical (Zak) phases of the bulk bands, which can be used to determine the existence or nonexistence of interface states at the interface of the two PCs in a particular band gap. Our results hold for any PCs with inversion symmetry, independent of the frequency of the gap and the symmetry point where the gap lies in the Brillouin zone. Our results provide new insights into the relationship between surface scattering properties, the bulk band properties, and the formation of interface states, which in turn can enable the design of systems with interface states in a rational manner.
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