The Infona portal uses cookies, i.e. strings of text saved by a browser on the user's device. The portal can access those files and use them to remember the user's data, such as their chosen settings (screen view, interface language, etc.), or their login data. By using the Infona portal the user accepts automatic saving and using this information for portal operation purposes. More information on the subject can be found in the Privacy Policy and Terms of Service. By closing this window the user confirms that they have read the information on cookie usage, and they accept the privacy policy and the way cookies are used by the portal. You can change the cookie settings in your browser.
The Gosper island is a well-known fractal belonging to a family of self-similar “root 7” curves constructed from a simple iterative algorithm [1]. One begins with a regular hexagon (the initiator, corresponding to iteration n = 0) with sides of reference length l0, and then breaks each of these straight-edge elements into three equal segments of length ln = l0 (1/71/2)n where n = 1, 2,3,… (the generator...
We present an inquiry-based augmented reality (AR) learning environment (AIBLE) designed for teaching basic astronomical phenomena in elementary classroom (children of 8-11 years old). The novelty of this environment lies in the combination of both Inquiry Based Sciences Education and didactics principles with AR features. This environment was user tested by 69 pupils in order to assess its impact...
The objective of this study was to examine the effects of pool isolation on fish diet and to answer three questions: Were food resources different or reduced in isolated compared with connected pools? Were fishes more selective and did they increase resource partitioning in isolated pools? Would individuals exhibit increased gastrointestinal tract (GIT) length in isolation to aid nutrient absorption?...
In their most general form, wave-interface problems are inherently angular in nature. For instance, the interaction between light waves and material boundaries essentially defines the entire field of optics. The seminal works of Aceves et al. [1,2] considered scalar bright spatial solitons impinging on the planar interface between two Kerr-type media with different χ(3) susceptibilities. While these...
Uniform and regular systems can generate optical fractals. After characterizing different fractal-generating systems, emphasis is placed on the roles of boundary conditions and cavity feedback. New aspects of linear and nonlinear optical fractals are presented, along with considerations of system coherence and novel connections to some classic systems and configurations.
Reaction-diffusion systems can exhibit a Turing instability in which homogeneous states develop large-amplitude emergent patterns. These patterns are typically characterized by a single dominant length scale that corresponds to a single minimum in a modulational instability threshold curve. However, several nonlinear systems possess a hierarchy of local Turing minima. It was proposed [1] that this...
The behaviour of a scalar optical beam at the boundary between two dissimilar nonlinear media is of fundamental interest in photonics. Here, we report the first systematic generalization of our Kerr analyses to a wider class of power-law materials. Universal refraction laws will be given, and theory-simulation agreement demonstrated.
We present the first detailed account of kaleidoscope laser modes where the equivalent Fresnel number Neq and magnification M may assume arbitrary values. Properties of these linear fractal eigenmodes are explored through extensive numerical computations. Considerations are extended to demonstration and analyses of new contexts for spontaneous nonlinear optical fractals.
The slowly varying envelope approximation and the ensuing Galilean boost to a local time frame are near-universal features of conventional scalar pulse models. Here, we will give an overview of our recent progress with a new approach to nonlinear pulse modelling, which is based on a Helmholtz-type formalism.
Set the date range to filter the displayed results. You can set a starting date, ending date or both. You can enter the dates manually or choose them from the calendar.