Adding SALT to Coupled Microcavities: the making of active photonic molecule lasers

A large body of work has accumulated over the years in the study of the optical properties of single and coupled microcavities for a variety of applications, ranging from filters to sensors and lasers. The focus has been mostly on the geometry of individual resonators and/or on their combination in arrangements often referred to as photonic molecules (PMs). Our primary concern will be the lasing properties of PMs as ideal candidates for the fabrication of integrated microlasers, photonic molecule lasers. Whereas most calculations on PM lasers have been based on cold-cavity (passive) modes, i.e. quasi-bound states, a recently formulated steady-state ab initio laser theory (SALT) offers the possibility to take into account the spectral properties of the underlying gain transition, its position and linewidth, as well as incorporating an arbitrary pump profile. We will combine two theoretical approaches to characterize the lasing properties of PM lasers: for two-dimensional systems, the generalized Lorenz-Mie theory will obtain the resonant modes of the coupled molecules in an active medium described by SALT. Not only is then the theoretical description more complete, the use of an active medium provides additional parameters to control, engineer and harness the lasing properties of PM lasers for ultra-low threshold and directional single-mode emission.Comment: 16th International Conference on Transparent Optical Networks (2014

Optimization of integrated polarization filters

This study reports on the design of small footprint, integrated polarization filters based on engineered photonic lattices. Using a rods-in-air lattice as a basis for a TE filter and a holes-in-slab lattice for the analogous TM filter, we are able to maximize the degree of polarization of the output beams up to 98 % with a transmission efficiency greater than 75 %. The proposed designs allow not only for logical polarization filtering, but can also be tailored to output an arbitrary transverse beam profile. The lattice configurations are found using a recently proposed parallel tabu search algorithm for combinatorial optimization problems in integrated photonics

Ab initio investigation of lasing thresholds in photonic molecules

We investigate lasing thresholds in a representative photonic molecule composed of two coupled active cylinders of slightly different radii. Specifically, we use the recently formulated steady-state ab initio laser theory (SALT) to assess the effect of the underlying gain transition on lasing frequencies and thresholds. We find that the order in which modes lase can be modified by choosing suitable combinations of the gain center frequency and linewidth, a result that cannot be obtained using the conventional approach of quasi-bound modes. The impact of the gain transition center on the lasing frequencies, the frequency pulling effect, is also quantified

Formation et auto-organisation de plasma induit par impulsions laser intenses dans un milieu diélectrique

Les interactions entre un milieu diélectrique et des impulsions laser intenses sont étudiées, d’abord d’un point de vue général, puis dans le contexte de la fabrication de nanostructures de surface auto-organisées. Les bases de l’électromagnétisme, de l’optique et de la physique des plasmas sont posées, avant de présenter la première contribution majeure de cette étude. Un nouveau modèle décrivant la formation de plasma induit par laser dans un milieu diélectrique, nommé delayed rate equations (DRE), est présenté. Ce modèle d’ionisation a les avantages d’être facile à implémenter dans une simulation numérique, peu coûteux en ressources computationnelles. L’émergence de nanostructures périodiques auto-organisées à la surface initialement rugueuse et aléatoire de matériaux exposés à des impulsions laser est ensuite étudiée numériquement, en tenant compte des effets électromagnétiques (équations de Maxwell). La seconde contribution majeure est l’implémentation d’une boucle de rétroaction dans les simulations, entre le champ électromagnétique et le plasma en formation. Ces simulations révèlent un nouveau phénomène, l’auto-reconfiguration de nanostructures de plasma, se produisant durant l’interaction. Finalement, on effectue des simulations multi-impulsionnelles qui permettent d’observer l’évolution de la forme de la surface après chaque impulsion laser. On observe la croissance de nanostructures de surface ayant une période et une orientation semblables à celles obtenues dans la densité du plasma après sa reconfiguration. Ceci confirme l’hypothèse que les motifs observés dans le plasma peuvent effectivement être inscrits de façon permanente dans la forme de la surface.The interactions between intense laser pulses and a dielectric medium are studied, first in a general perspective, then in the context of the fabrication of self-organized surface nanostructures. After going through the rudiments of electromagnetism, optics and plasma physics, the first major contribution of this study is presented. A novel model for laser-induced plasma formation in dielectrics, the delayed rate equations model (DRE) is described. This ionization model has several advantages, among which are the ease of implementation in numerical simulations and low computational cost, while preserving all the advantages of the state of the art model that can be incorporated in tridimensional simulations. The emergence of periodic self-organized nanostructures at the initially rough and random surface of materials after being exposed to intense light is then numerically studied in a time domain electromagnetic framework. The second major contribution is the implementation of a feedback loop in the simulations, between the electromagnetic field and the plasma information. Simulations reveal a new phenomenon, the self-reconfiguration of plasma nanostructures, which occurs at the laser pulse time scale. Finally, multi-pulses simulations are performed, revealing the evolution of the shape of the irradiated surface after each laser pulse. The growth of surface nanostructures with period and orientation similar to what was observed in the plasma density, after its reconfiguration, is observed. This confirms the hypothesis that the plasma patterns can effectively be permanently inscribed in an irradiated surface

Dynamical rate equation model for femtosecond laser-induced breakdown in dielectrics

Experimental and theoretical studies of laser-induced breakdown in dielectrics provide conflicting conclusions about the possibility to trigger ionization avalanche on the subpicosecond time scale and the relative importance of carrier-impact ionization over field ionization. On the one hand, current models based on a single ionization-rate equation do not account for the gradual heating of the charge carriers, which, for short laser pulses, might not be sufficient to start an avalanche. On the other hand, kinetic models based on microscopic collision probabilities have led to variable outcomes that do not necessarily match experimental observations as a whole. In this paper, we present a rate-equation model that accounts for the avalanche process phenomenologically by using an auxiliary differential equation to track the gradual heating of the charge carriers and define the collisional impact rate dynamically. The computational simplicity of this dynamical rate-equation model offers the flexibility to extract effective values from experimental data. This is demonstrated by matching the experimental scaling trends for the laser-induced damage threshold of several dielectric materials for pulse durations ranging from a few fs to a few ps. Through numerical analysis, we show that the proposed model gives results comparable to those obtained with multiple rate equations and identify potential advantages for the development of large-scale, three-dimensional electromagnetic methods for the modeling of laser-induced breakdown in transparent media

Femtosecond Self-Reconfiguration of Laser-Induced Plasma Patterns in Dielectrics

Laser-induced modification of transparent solids by intense femtosecond laser pulses allows fast integration of nanophotonic and nanofluidic devices with controlled optical properties. So far, the local and dynamic nature of the interactions between plasma and light needed to correctly explain nanograting fabrication on dielectric surfaces has been missing in the theoretical models. With our numerical approach, we show that a self-consistent dynamic treatment of the plasma formation and its interaction with light triggers an ultrafast reconfiguration of the periodic plasma patterns on a field-cycle time scale. Within this framework, a simple stability analysis of the local interactions explains how the laser-induced plasma patterns change their orientation with respect to the incident light polarization, when a certain energy density threshold is reached. Moreover, the reconfigured sub-wavelength plasma structures grow into the bulk of the sample and agree with the experimental findings of self-organized volume nanogratings. Mode coupling of the incident and transversally scattered light with the periodic plasma structures is sufficient to initiate the growth and the self-organization of the characteristic pattern with a periodicity of a half-wavelength in the medium.Comment: 8 pages, 7 figure

Ablation laser et croissance de réseaux de surface

Tableau d'honneur de la Faculté des études supérieures et postdorales, 2015-2016La formation des réseaux de surface, ou laser-induced periodic surface structures (LIPSSs), à l’aide d’une source laser pulsée est étudiée avec la théorie de Sipe-Drude, d’abord analytiquement, puis avec la méthode numérique finite-difference time-domain (FDTD). Les LIPSSs sont des structures nanométriques sinusoïdales pouvant être catégorisées selon leur orientation par rapport à la direction de polarisation du laser incident et en fonction de leur période Λ par rapport à la longueur d’onde du laser λ. Avec la méthode FDTD, nous trouvons, dans une région de l’espace paramétrique jamais explorée, qu’une impulsion laser polarisée linéairement peut interagir avec une surface rugueuse de façon à faire croître des structures bidimensionnelles ayant une période de Λ ∼ λ dans les orientations parallèle et orthogonale à la direction de polarisation. Par contre, ce modèle ne peut expliquer la forte organisation et régularité des structures dans le domaine spatial, tel qu’observé dans les expériences. Permettre l’auto-organisation des structures avec un mécanisme de rétroaction inter-impulsion est une solution possible afin de simuler la croissance de LIPSSs fortement organisés d’une impulsion laser à la suivante. Récemment proposée, cette méthode utilise un processus d’ablation non physique afin de tenir compte qualitativement de l’éjection de matériau entre deux impulsions laser. Ce nouveau modèle peut reproduire une grande variété de LIPSSs avec une forte régularité spatiale, mais échoue toujours à simuler la croissance de l’amplitude de certains types de structures. Nous suggérons que ces structures restantes peuvent croître en considérant un mécanisme inverse, l’expansion. En combinant ablation et expansion, nous avons simulé avec succès un plus grand nombre de types de LIPSSs.The formation of laser-induced periodic surface structures (LIPSSs) using pulsed laser source is studied on the basis of the Sipe-Drude theory solved, first analytically, then with a finitedifference time-domain (FDTD) scheme. LIPSSs consist of wavy nanometric structures and can be categorized depending on their orientation with respect to the incident laser polarization and their periodicity Λ with respect to the incident laser wavelength λ. With our FDTD solver, we find, in as yet unexplored regions of parameter space, that a linearly polarized laser pulse can interact with a rough surface such that bidimensional structures could grow with both parallel and perpendicular periodicity of Λ ∼ λ. However, this theory cannot predict the strong organization and regularity in the space domain, as observed in the experiments. Allowing self-organization in the model with an interpulse feedback mechanism is a possible solution to simulate the growth of strongly organized LIPSSs from one laser pulse to the next. This recently proposed method uses a non-physical ablation process to qualitatively account for material removal between two laser pulses. This new model can reproduce a large variety of LIPSSs with a strong spatial regularity, but still fails to simulate amplitude growth of some of the structures. We suggest that those remaining structures can grow by considering an inverse mechanism, an expansion process. By combining ablation and expansion mechanisms, we have successfully simulated the growth of a large class of LIPSSs

The Role of the Laser-Induced Oxide Layer in the Formation of Laser-Induced Periodic Surface Structures

Laser-induced periodic surface structures (LIPSS) are often present when processing solid targets with linearly polarized ultrashort laser pulses. The different irradiation parameters to produce them on metals, semiconductors and dielectrics have been studied extensively, identifying suitable regimes to tailor its properties for applications in the fields of optics, medicine, fluidics and tribology, to name a few. One important parameter widely present when exposing the samples to the high intensities provided by these laser pulses in air environment, that generally is not considered, is the formation of a superficial laser-induced oxide layer. In this paper, we fabricate LIPSS on a layer of the oxidation prone hard-coating material chromium nitride in order to investigate the impact of the laser-induced oxide layer on its formation. A variety of complementary surface analytic techniques were employed, revealing morphological, chemical and structural characteristics of well-known high-spatial frequency LIPSS (HSFL) together with a new type of low-spatial frequency LIPSS (LSFL) with an anomalous orientation parallel to the laser polarization. Based on this input, we performed finite-difference time-domain calculations considering a layered system resembling the geometry of the HSFL along with the presence of a laser-induced oxide layer. The simulations support a scenario that the new type of LSFL is formed at the interface between the laser-induced oxide layer and the non-altered material underneath. These findings suggest that LSFL structures parallel to the polarization can be easily induced in materials that are prone to oxidation