Fractal Photonic Crystal Waveguides

We propose a new class of one-dimensional (1D) photonic waveguides: the fractal photonic crystal waveguides (FPCWs). These structures are photonic crystal waveguides (PCWs) etched with fratal distribution of grooves such as Cantor bars. The transmission properties of the FPCWs are investigated and compared with those of the conventional 1D PCWs. It is shown that the FPCW transmission spectrum has self-similarity properties associated with the fractal distribution of grooves. Furthermore, FPCWs exhibit sharp localized transmissions peaks that are approximately equidistant inside the photonic band gap

Visualizing the Doppler Effect

The development of Information and Communication Technologies suggests some spectacular changes in the methods used for teaching scientific subjects. Nowadays, the development of software and hardware makes it possible to simulate processes as close to reality as we want. However, when we are trying to explain some complex physical processes, it is better to simplify the problem under study using simplified pictures of the total process by eliminating some elements that make it difficult to understand this process. In this work we focus our attention on the Doppler effect which requires the space-time visualization that is very difficult to obtain using the traditional teaching resources. We have designed digital simulations as a complement of the theoretical explanation in order to help students understand this phenomenon

Testing theoretical models of magnetic damping using an air track

Magnetic braking is a long-established application of Lenz's law. A rigorous analysis of the laws governing this problem involves solving Maxwell's equations in a time-dependent situation. Approximate models have been developed to describe different experiences related to this phenomenon. In this paper we present a new method for the analysis of the magnetic braking using a magnet fixed to the glider of an air track. The forces acting on the glider, a result of the eddy currents, can be easily observed and measured. As a consequence of the air track inclination, the glider accelerates at the beginning, although it asymptotically tends towards a uniform rectilinear movement characterized by a terminal speed. This speed depends on the interaction between the magnetic field and the conductivity properties of the air track. Compared with previous related approaches, in our experimental setup the magnet fixed to the glider produces a magnetic braking force which acts continuously, rather than over a short period of time. The experimental results satisfactorily concur with the theoretical models adapted to this configuration.Comment: 15 pages, 5 figure

Fractal Light Vortices

Vortex lenses produce special wavefronts with zero-axial intensity, and helical phase structure. The variations of the phase and amplitude of the vortex produce a circular flow of energy that allows transmitting orbital angular momentum. This property is especially in optical trapping, because due to the orbital angular momentum of light, they have the ability to set the trapped particles into rotation. Vortex lenses engraved in diffractive optical elements have been proposed in the last few years. These lenses can be described mathematically as a two-dimensional (2D) function, which expressed in polar coordinates are the product of two different separable one-dimensional (1D) functions: One, depends only on the square of radial coordinate, and the other one depends linearly on the azimuthal coordinate and includes the topological charge. The 1D function that depends on the radial coordinate is known as a zone plate. Here, vortex lenses, constructed using different aperiodic zone plates, are reviewed. Their optical properties are studied numerically by computing the intensity distribution along the optical axis and the transverse diffraction patterns along the propagation direction. It is shown that these elements are able to create a chain of optical traps with a tunable separation, strength and transverse section

Vortex transmutation

Using group theory arguments and numerical simulations, we demonstrate the possibility of changing the vorticity or topological charge of an individual vortex by means of the action of a system possessing a discrete rotational symmetry of finite order. We establish on theoretical grounds a "transmutation pass rule'' determining the conditions for this phenomenon to occur and numerically analize it in the context of two-dimensional optical lattices or, equivalently, in that of Bose-Einstein condensates in periodic potentials.Comment: 4 pages, 4 figure

Non-Bragg band gaps in 1D metamaterial aperiodic multilayers

We investigate the existence of non-Bragg band gaps in 1D aperiodic photonic structures, namely the Fibonacci and Thue-Morse lattices combining ordinary positive index materials and dispersive metamaterials. Both structures present new band gaps which, in contrast with the usual Bragg gaps, are not based on interference mechanisms. It is known that one of these non-Bragg gaps corresponds to zero (volume) averaged refractive index. In this paper we demonstrate the existence of two new non-Bragg gaps in aperiodic photonic crystals: the zero permeability, and the zero permittivity gaps. Some distinctive aspects of these polarization-selective gaps are outlined and the impact on the photonic spectra produced by the level of the generation of the aperiodic structure is analyzed

Determining the efficiency of optical sources using a smartphone's ambient light sensor

This work reports the use of a smartphone’s ambient light sensor as a valuable tool to study and characterize the efficiency of an optical source. Here, we have measured both luminous efficacy and efficiency of several optical sources (incandescent bulb and halogen lamp) as a function of the electric power consumed and the distance to the optical detector. The illuminance of LEDs as a function of the distance to the optical detector is characterized for different wavelength emissions. Analysis of the results confirms an inverse-square law of the illuminance with the detector–source distance and shows good agreement with values obtained by classical experiments. This experience will trigger awareness in students in terms of sustainability, light propagation and efficiency of different optical sources.The authors would like to thank the Institute of Education Sciences, Universitat Politecnica de Valencia (Spain), for the support of the teaching innovation groups MOMA and e-MACAFI, and the financial support of Project PIME-2015-B18. The authors also acknowledge the financial support of project EDU2015-69701-P by the Spanish Ministry of Economy and Competitiveness and the European Regional Development Fund. J A Sans acknowledges Ramon y Cajal fellowship program for financial support.Sans-Tresserras, JÁ.; Gea Pinal, J.; Giménez Valentín, MH.; Esteve, AR.; Solbes, J.; Monsoriu Serra, JA. (2017). Determining the efficiency of optical sources using a smartphone's ambient light sensor. European Journal of Physics. 38(2):1-9. https://doi.org/10.1088/1361-6404/aa51a9S1938

Diffraction by electronic components of everyday use

[EN] We demonstrate the use of CCD image sensors and LCD screens from discarded electronic devices as elements for performing simple optical diffraction experiments. The experiments can determine the spatial structure of these components by analyzing diffraction patterns generated by their interaction with monochromatic light. This article presents the design and results of such experiments. (C) 2014 American Association of Physics Teachers.The authors would like to thank the financial support of the Ministerio de Economía y Competitividad (Projects: DPI2012-32994 and FIS2011-23175), the Generalitat Valenciana (Project: PROMETEO2009-077), Universitat Polite`cnica de Vale`ncia (PAID-05-11). This work has been developed by the teaching innovation groups GCID35/2009 and MoMa from the Universitat de Vale`ncia and Universitat Polite`cnica de Vale`ncia, respectively. The authors would also like to thank Dr. Michael Devereux for kindly revising the manuscript as a native English-speaking person.Barreiro, JJ.; Pons, A.; Barreiro, JC.; Castro-Palacio, JC.; Monsoriu Serra, JA. (2014). Diffraction by electronic components of everyday use. American Journal of Physics. 82(3):257-261. https://doi.org/10.1119/1.4830043S25726182