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Blog de Luis Mochán.

Blog de Luis Mochán del Instituto de Ciencias Físicas.

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Luis Mochán
mochan@fis.unam.mx
GPG id: DD344B85
Fingerprint: 2ADC B65A 5499 C2D3 4A3B 93F3 AE20 0F5E DD34 4B85

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Haydock meets Inkscape and ImageMagick
We succeded in calculating the dielectric properties of whole classes of 2D nanostructured materials by drawing the unit cell with inkscape, manipulating it with imagemagick, converting it to indicator function arrays and calculating Haydock's coefficients with PDL and finally substituting the components dielectric response into a continued fraction to obtain the macroscopic response. The paper is coming soon...

Cargado a las 12:25 en /mochan/varios / 20110511Haydock, | Etiquetas: metamaterials, nanotechnology, physics | liga permanente

Effective dielectric response of Metamaterials
Effective dielectric response of Metamaterials, Guillermo P. Ortiz, Brenda E. Martínez-Zérega, Bernardo S. Mendoza and W. Luis Mochán, Phys. Rev. B 79, 245132 (2009). (URL: http://link.aps.org/abstract/PRB/v79/e245132, DOI: 10.1103/PhysRevB.79.245132). A copy is here. We use a homogenization procedure for Maxwell's equations in order to obtain in the local limit the frequency dependent macroscopic dielectric response tensor $\epsilon^M_{ij}(\omega)$ of metamaterials made of a matrix with inclusions of any geometrical shape repeated periodically with any lattice structure. We illustrate the formalism calculating $\epsilon^M_{ij}(\omega)$ for several structures. For dielectric rectangular inclusions within a conducting material we obtain an anisotropic response which may change from conductor-like at low $\omega$ to dielectric-like with resonances at large $\omega$, attaining a very small reflectance at intermediate frequencies which can be tuned through geometrical tailoring. A simple explanation allowed us to predict and confirm similar behavior for other shapes, even isotropic, close to the percolation threshold.

Cargado a las 16:37 en /mochan/noticiasFisica / ortiz20100124, | Etiquetas: extraordinary transmission, metamaterials, nanoparticles, papers | liga permanente

Non-local derivation of Poynting's theorem
My paper with Rubén Barrera was accepted in Physica B. In it we discuss an expression for Poynting's vector within non-local media. We find that besides ExB, there is a contribution -ExM to the energy flow (as is well known) but it originates in the non-locality of the dielectric response within true magnetic materials, and also within dielectric metamaterials or colloids whose non-local response mimics an effective magnetic contribution. We obtain further corrections useful for transverse and for longitudinal fields.

Cargado a las 17:13 en /mochan/noticiasFisica / poynting20100117, | Etiquetas: colloids, electrodynamics, metamaterials, papers, Poynting | liga permanente

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