Effect of Exponentially Graded Material on Photonic and Omni-Directional Band Gaps in 1-D Photonic Crystals

Considered the model of the one-dimensional photonic crystals (1-D PCs) with double defects, the refractive indexes (n2’, n3’ and n2’’, n3’’) of the double defects were 2.0, 4.0 and 4.0, 2.0 respectively. With parameter n2=1.5, n3=2.5, by theoretical calculations with characteristic matrix method, the results shown that for a certain number (14 was taken) of layers of the 1-D PCs, when the double defects abutted, there was a defect band gap in the stop band gap, while when the double defects separated, there occurred two defect band gaps in the stop band gap; besides, with the separation of the two defects, the transmittance of the double defect band gaps decreased gradually. In addition, in this progress, the frequency range of the stop band gap has a little increase from 0.092 to 0.095.

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Analysis of Tunable Absolute Band Gaps in 2-D Honeycomb Lattice Plasma Photonic Crystals

IEEE Transactions on Plasma Science ◽

10.1109/tps.2012.2189233 ◽

2013 ◽

Vol 41 (1) ◽

pp. 243-249 ◽

Cited By ~ 2

Author(s):

Xiang-Kun Kong ◽

Shao-Bin Liu ◽

Hai-Feng Zhang ◽

Liang Zhou ◽

Ying Fan ◽

...

Keyword(s):

Photonic Crystals ◽

Band Gaps ◽

Honeycomb Lattice ◽

Plasma Photonic Crystals

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The Elastic-Viscoelastic Correspondence Principle for Functionally Graded Materials, Revisited

Journal of Applied Mechanics ◽

10.1115/1.1533805 ◽

2003 ◽

Vol 70 (3) ◽

pp. 359-363 ◽

Cited By ~ 40

Author(s):

S. Mukherjee ◽

Glaucio H. Paulino

Keyword(s):

Functionally Graded Materials ◽

Functionally Graded Material ◽

Correspondence Principle ◽

Functionally Graded ◽

Graded Materials ◽

One Dimensional ◽

Space And Time ◽

Graded Material ◽

Nonhomogeneous Materials ◽

Exponentially Graded

Paulino and Jin [Paulino, G. H., and Jin, Z.-H., 2001, “Correspondence Principle in Viscoelastic Functionally Graded Materials,” ASME J. Appl. Mech., 68, pp. 129–132], have recently shown that the viscoelastic correspondence principle remains valid for a linearly isotropic viscoelastic functionally graded material with separable relaxation (or creep) functions in space and time. This paper revisits this issue by addressing some subtle points regarding this result and examines the reasons behind the success or failure of the correspondence principle for viscoelastic functionally graded materials. For the inseparable class of nonhomogeneous materials, the correspondence principle fails because of an inconsistency between the replacements of the moduli and of their derivatives. A simple but informative one-dimensional example, involving an exponentially graded material, is used to further clarify these reasons.

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