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Bulgakov, E. N.
Bound states in the continuum in photonic waveguides inspired by defects / E. N. Bulgakov, A. F. Sadreev // Phys. Rev. B. - 2008. - Vol. 78, Is. 7. - Ст. 75105, DOI 10.1103/PhysRevB.78.075105. - Cited References: 53 . - ISSN 1098-0121

РУБ Physics, Condensed Matter
Рубрики:
SCATTERING-THEORY
   NUCLEAR REACTIONS
   UNIFIED THEORY
   TRANSMISSION
   ELECTRON
   MODEL
Аннотация: Photonic crystal with defect layer forms directed continuum for electromagnetic waves. Defect rods in the vicinity of the defect layer interact with the continuum and give rise to scattering of ingoing waves. We derive quantum-mechanical analog of the non-Hermitian Hamiltonian of the open system with complex eigenvalues, which describes a scattering of electromagnetic waves by the defect rods. In this formalism a bound state in the continuum (BIC) can be easily found by the condition that one of the complex eigenvalues becomes real for variation of dielectric constant of the defect rods. We numerically find BICs with discrete frequencies belong to the continuum for different arrangements of the defects and show that they are localized around the defects.

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Держатели документа:
[Bulgakov, Evgeny N.
Sadreev, Almas F.] Russian Acad Sci, Inst Phys, Krasnoyarsk 660036, Russia
ИФ СО РАН
Institute of Physics, Academy of Sciences, 660036 Krasnoyarsk, Russian Federation

Доп.точки доступа:
Sadreev, A. F.; Садреев, Алмаз Фаттахович; Булгаков, Евгений Николаевич
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Bulgakov, E. N.
Bound States in Photonic Fabry-Perot Resonator Comprised of Two Nonlinear Off-Channel Defects / E. N. Bulgakov, A. F. Sadreev // JETP Letters. - 2009. - Vol. 90, Is. 12. - P. 744-749, DOI 10.1134/S0021364009240023. - Cited References: 32. - We thank Kostya Pichugin for many helpful discussions. The work was partially supported by the Russian Foundation for Basic Research, project no. 09-02-98005-Siberia. . - ISSN 0021-3640

РУБ Physics, Multidisciplinary
Рубрики:
SCATTERING-THEORY
   WAVE-GUIDE
   CONTINUUM
   MODES
Аннотация: Two off-channel nonlinear defects coupled to the photonic waveguide constitute the Fabry-Perot interfer-ometer (FPR). The defects are made from a Kerr-like nonlinear material. For the linear case such a FPR can support the bound states in the form of standing waves between the defects if the distance between them is quantized. For the nonlinear case the bound states appear for arbitrary distance between the defects however for an quantized electromagnetic intensity. For the transmission through FPR we reveal new resonances and show these are a result of coupling of the bound states with incident wave because of nonlinearity of the defects. The resonances are spaced at the eigen frequencies of bound states.

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Держатели документа:
[Bulgakov, E. N.
Sadreev, A. F.] Russian Acad Sci, Inst Phys, Krasnoyarsk 660036, Russia
[Bulgakov, E. N.] Siberian State Aerosp Univ, Krasnoyarsk, Russia
ИФ СО РАН
Institute of Physics, Academy of Sciences, Krasnoyarsk 660036, Russian Federation
Siberian State Aerospace University, Krasnoyarsk, Russian Federation

Доп.точки доступа:
Sadreev, A. F.; Садреев, Алмаз Фаттахович; Булгаков, Евгений Николаевич; Russian Foundation for Basic Research [09-02-98005-Siberia]
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