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Morphology and plasmonic properties of self-organized arrays of ...

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10 CHAPTER 1. THEORYEλBkFigure 1.1: Schematic representation <strong>of</strong> a plane monochromatic EM wave, linearly polarized,propagating along the direction defined by its wave vector k. The electric E <strong>and</strong>magnetic B fields are in the vertical <strong>and</strong> horizontal planes, respectively.the beam is said unpolarized. In contrast, when the state <strong>of</strong> oscillation <strong>of</strong> the EM fields,called polarization, is the same for all the components <strong>of</strong> the beam, light is said polarized.For a EM plane wave, three possible states <strong>of</strong> polarization can be defined, linear, circular<strong>and</strong> elliptical. For linear polarized light (fig. 1.2(a)) the orientation <strong>of</strong> the electric fieldsis constant along a specific direction, so that, as the wave propagates, they oscillate ina fixed plane called polarization plane. Instead, when light is elliptically (fig. 1.2(b))or circularly (fig. 1.2(c)) polarized the electric field vector viewed along the propagationdirection describes an ellipse (or a circle) around its wave vector k. The rotation is definedright-h<strong>and</strong>ed or left-h<strong>and</strong>ed when the observer sees the fields rotate counter-clockwise orclockwise, respectively.polarization planea. b. c.Figure 1.2: Diagram <strong>of</strong> different states <strong>of</strong> polarization <strong>of</strong> light, <strong>and</strong> corresponding pathstraced by the tip <strong>of</strong> the electric field vector (red lines). Panel a: linear polarization, Eoscillates along a constant direction. Panel b: elliptical polarization, E traces an ellipsein each plane perpendicular the direction <strong>of</strong> propagation. Panel c: circular polarization,special case <strong>of</strong> elliptical polarization where E traces a circle.

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