Photonic Crystals and Light Localization in the 21st Century 2001
DOI: 10.1007/978-94-010-0738-2_1
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Novelties of Light with Photonic Crystals

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Cited by 353 publications
(615 citation statements)
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“…A perturbation of the dielectric permittivity Δε over a volume V is now assumed. Using perturbation theory, the shift Δω of the frequency of the mode is given by 10,12 Δω = À Δn n ω 0 AEE 0 jE 0 ae V (8) where the scalar product of the field is restricted to the volume V of perturbation. Equation 8 is equivalent to eq 2.…”
Section: Methodsmentioning
confidence: 99%
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“…A perturbation of the dielectric permittivity Δε over a volume V is now assumed. Using perturbation theory, the shift Δω of the frequency of the mode is given by 10,12 Δω = À Δn n ω 0 AEE 0 jE 0 ae V (8) where the scalar product of the field is restricted to the volume V of perturbation. Equation 8 is equivalent to eq 2.…”
Section: Methodsmentioning
confidence: 99%
“…The formal solution of eq 9 has the form of |Eae = |E 0 ae þ (iωμc 2 /ε)G 0 Q |Jae, where |E 0 ae is the solution of the homogeneous problem and G 0 its Green's dyadic function. Using a procedure equivalent to the one in a previous work (Supporting Information in Gallinet et al 29 ), the electric field wave function can be written as QM QjEae ¼ ω 2 0 jE 0 ae ( ic 2 μω 2ε AEE 0 jJaejE 0 ae (10) where the sign of the second term is chosen with respect to causality. Let us now assume that the current field is governed by Ohm's law (|Jae = σ|Eae with σ the conductivity of the material) and restricted to a region C corresponding to the presence of a conductive material.…”
Section: Methodsmentioning
confidence: 99%
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“…This structure is made of periodic dielectric materials in micron scale. PhC demonstrates unique optical properties, where the most interesting one is having adjustable photonic band gap [1,2]. On the other hand, slow light phenomenon that can be attained in PhC waveguides is known as a suitable approach to increase light-matter interactions [3][4][5].…”
Section: Introductionmentioning
confidence: 99%