Extraction of optical Bloch modes in a photonic-crystal waveguide

Huisman, S.R.; Ctistis, Georgios; Stobbe, Søren; Herek, Jennifer Lynn; Lodahl, Peter; Vos, Willem L.; Pinkse, Pepijn W. H.

doi:10.1063/1.3682105

Cited by 4 publications

(4 citation statements)

References 26 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The observed maximum amplitude is likely quenched by the presence of the near-field tip. From spatial Fourier transforms we know that the periodic background is formed by TM-like modes A and B, which contain most of the field energy [165]. The observed localized modes agree well with calculated profiles of localized modes [152,168].…”

Section: Near-field Observation Of Anderson-localized Modessupporting

confidence: 79%

“…Intrinsic disorder causes Anderson localization in the slow-light regime of mode C (encircled area near k x = 0.5) [15,146,159], where the dispersion relation flattens and the optical DOS ideally diverges, known as a Van Hove singularity. TE-like mode C. Spatial Fourier transforms [51] and Bloch-mode reconstruction [140] confirm that these patterns are completely described by a superposition of propagating Bloch modes [165]. Since these propagating modes are unperturbed by intrinsic disorder and extend over the entire waveguide, they are considered not to be localized and are therefore referred to as propagating.…”

Section: Experimental Setup and Waveguide Propertiesmentioning

confidence: 78%

“…In chapter 4 we have applied the Bloch mode reconstruction algorithm [140,165] to decompose near-field patterns in propagating optical Bloch modes. Here we show a proof-of-principle result that one can apply this algorithm to extract individual localized modes.…”

Section: Appendix a Extraction Of Individual Anderson-localized Modesmentioning

confidence: 99%

See 2 more Smart Citations

Light control with ordered and disordered nanophotonic media

Huisman

View full text Add to dashboard Cite

Both ordered nanophotonic media [10][11][12], such as photonic crystals, and disordered media [13,14], such as white paint, have been topic of intense research for many decades and have found their way even in daily used devices such as white light LEDs and solar cells. Available fabrication methods make ordered nanophotonic media ideally suited for mass production. Nevertheless, any fabricated structure contains intrinsic disorder, and therefore it is essential to understand the impact of unavoidable deviations from designed structures. Furthermore, weak disorder results in phenomena that are also observed in on-purposely designed delicate structures, such as cavities with high quality factors [15], opening new opportunities to embrace disorder for functionality. Disordered systems even support intriguing quantum correlations [16][17][18][19][20][21][22][23]. Quantum optics in nanophotonic media is a promising candidate for practical implementation of quantum technology, since devices are compact, scalable, have minor losses, and support enhanced fields [24,25]. With recent progress in programming classical light propagation in random multiple-scattering media by wavefront shaping [26,27], the road is open to exploit strongly disordered nanophotonic media for integrated quantum optics.1 The optical Helmholtz equation contains a second-order time derivative, resulting in a linear dispersion relation between energy and wave vector. The Schrödinger equation contains a first-order time derivative, resulting in a quadratic dispersion relation between energy and 3. The modified dispersion can result in a noticeable effect in the frequencydependent number of modes, defined as the density of optical states (DOS).wave vector. 2 There is the unfortunate habit of confusing the term stop gap, stop band and band gap.There is a fundamental difference between them that is explained in this section. 3 The term photonic band gap is also used to describe a common stop gap in two-dimensional structures. The light field cannot be absent everywhere, because diffraction in the third dimension is absent. Often a common two-dimensional stop gap is formed for a specific polarization only. Therefore in the case of for example triangular photonic crystals, one should speak about a two-dimensional band gap for transverse-electric polarized light.Forbidden zones for light in photonic band gap crystals. Photonic crystals are a special class of metamaterials that radically control emission and propagation of light. In specific three-dimensional crystals, a common frequency range is formed for which light is not allowed to propagate in any direction, called the photonic band gap. It is an outstanding challenge to create these crystals and experimentally demonstrate the photonic band gap. Photo: microscope image of an inverse woodpile photonic crystal surrounded by a twodimensional crystal. Photo courtesy of Hannie van den Broek.CHAPTER 2Observation of sub-Bragg diffraction of waves in crystalsWe investigate the diffraction conditions and assoc...

show abstract

Section: Near-field Observation Of Anderson-localized Modessupporting

confidence: 79%

Section: Experimental Setup and Waveguide Propertiesmentioning

confidence: 78%

See 1 more Smart Citation

Light control with ordered and disordered nanophotonic media

Huisman

View full text Add to dashboard Cite

show abstract

“…Their importance is found in their unique properties such as their dispersion relation, slow-light propagation, strong confinement of light and thus enhanced light-matter interaction. [6][7][8][9][10][11][12] With NSOM, one has the tool to determine the dispersion relation in these waveguides and thus the bandstructure, spatially map optical pulses, observe slow-light propagation and phenomena such as disorder-induced formation of Anderson localized modes near the band edge, 2,[13][14][15][16][17] which otherwise would not be accessible.…”

Section: Introductionmentioning

confidence: 99%

Observation of nonlinear bands in near-field scanning optical microscopy of a photonic-crystal waveguide

Singh

Ctistis

Huisman

et al. 2015

Journal of Applied Physics

Self Cite

View full text Add to dashboard Cite

We have measured the photonic bandstructure of GaAs photonic-crystal waveguides with high energy and momentum resolution using near-field scanning optical microscopy. Intriguingly, we observe additional bands that are not predicted by eigenmode solvers, as was recently demonstrated by Huisman et al. [Phys. Rev. B 86, 155154 (2012)]. We study the presence of these additional bands by performing measurements of these bands while varying the incident light power, revealing a non-linear power dependence. Here, we demonstrate experimentally and theoretically that the observed additional bands are caused by a waveguide-specific nearfield tip effect not previously reported, which can significantly phase-modulate the detected field.

show abstract