Theoretical and computational concepts for periodic optical waveguides

Lecamp, G.; Hugonin, Jean Paul; Lalanne, Philippe

doi:10.1364/oe.15.011042

Cited by 119 publications

(132 citation statements)

References 41 publications

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“…At first glance, the number of modes to achieve a satisfying convergence seems to be quite large. However, by using a plane-wave basis 29 rather than the Bloch mode approach, hundreds of basis states would be required to get the same accuracy.…”

Section: Metamaterials Slab Surrounded By a Dissimilar Metamateriamentioning

confidence: 99%

“…Then, the coupling of light into the MM is a complicated issue and requires a devoted rigorous treatment. 29 It would be highly desirable to likewise simplify this treatment and, preferably, to extract the coupling properties of the MM interface from that Bloch mode that dominates the light propagation in the bulk. Along these lines we have recently shown that coupling between two nanostructured media can be sufficiently well described by a single mode in both media, as long as their geometrical differences are small.…”

Section: Introductionmentioning

confidence: 99%

“…is a direct consequence of Bloch mode reciprocity 29 and it will be essential in the following. Now, to proceed with the derivation of the orthogonality relations, we introduce the fields of an arbitrary Bloch mode |B n and another adjoint mode |B † m into Eq.…”

mentioning

confidence: 99%

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Reflection and transmission of light at periodic layered metamaterial films

et al. 2011

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The appropriate description of light scattering (transmission/reflection) at a bulky artificial medium, consisting of a sequence of functional metamaterial and natural material films, represents a major challenge in current theoretical nano-optics. Because in many relevant cases, in particular, in the optical domain, a metamaterial must not be described by an effective permittivity and permeability the usual Fresnel formalism cannot be applied. A reliable alternative consists in using a Bloch mode formalism known, e.g., from the theory of photonic crystals. It permits to split this complex issue into two more elementary ones, namely the study of light propagation in an infinitely extended metamaterial and the analysis of light scattering at interfaces between adjacent meta and natural materials. The first problem is routinely solved by calculating the relevant Bloch modes and their dispersion relations. The second task is more involved and represents the subject of the present study. It consists in using the general Bloch mode orthogonality to derive rigorous expressions for the reflection and transmission coefficients at an interface between two three-dimensional absorptive periodic media for arbitrary incidence. A considerable simplification can be achieved if only the fundamental Bloch modes of both media govern the scattering properties at the interface. If this approximation is valid, which depends on the longitudinal metamaterial period, the periodic metamaterial may be termed homogeneous. Only in this case the disentanglement of the fundamental modes of both media can be performed and the reflection/transmission coefficients can be expressed in terms of two impedances, each depending solely on the properties of the fundamental mode of the respective medium. In order to complement the picture, we apply the present formalism to the quite general problem of reflection/transmission at a metamaterial film sandwiched between a dissimilar metamaterial. This situation asks for a devoted treatment where multiple modes have to be taken into account.

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Section: Metamaterials Slab Surrounded By a Dissimilar Metamateriamentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Reflection and transmission of light at periodic layered metamaterial films

et al. 2011

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“…The calculation was performed using a fully vectorial modal method based on Fourier-series expansion in the transverse directions. 12,13 Both the coupling to M and the coupling to free-space modes are strongly dependent on the dipole orientation. For a transverse dipole, an optimal coupling to M is achieved for w/k ¼ 0.26, yielding C M?…”

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confidence: 99%

Quantum dot spontaneous emission control in a ridge waveguide

Stepanov

Delga

Zang

et al. 2015

Applied Physics Letters

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International audienceWe investigate the spontaneous emission (SE) of self-assembled InAs quantum dots (QDs) embedded in GaAs ridge waveguides that lay on a low index substrate. In thin enough waveguides, the coupling to the fundamental guided mode is vanishingly small. A pronounced anisotropy in the coupling to non-guided modes is then directly evidenced by normal-incidence photoluminescence polarization measurements. In this regime, a measurement of the QD decay rate reveals a SE inhibition by a factor up to 4. In larger wires, which ensure an optimal transverse confinement of the fundamental guided mode, the decay rate approaches the bulk value. Building on the good agreement with theoretical predictions, we infer from calculations the fraction β of SE coupled to the fundamental guided mode for some important QD excitonic complexes. For a charged exciton (isotropic in plane optical dipole), β reaches 0.61 at maximum for an on-axis QD. In the case of a purely transverse linear optical dipole, β increases up to 0.91. This optimal configuration is achievable through the selective excitation of one of the bright neutral excitons

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“…It builds upon the aperiodic Fourier modal method developed and refined by Lalanne and co-workers (Lalanne and Silberstein, 2000;Silberstein et al, 2001;Cao et al, 2002;Hugonin and Lalanne, 2005;Lecamp et al, 2007) with the key difference that the AFMM-CFF solves Maxwell's equations formulated in terms of a contrast (scattered) field instead of a total field. This reformulation allows prescription of arbitrary incoming fields onto the structure of interest (Pisarenco et al, 2010).…”

Section: Introductionmentioning

confidence: 99%