scholarly journals Near-field optical investigation of three-dimensional photonic crystals

2003 ◽  
Vol 68 (1) ◽  
Author(s):  
E. Flück ◽  
N. F. van Hulst ◽  
W. L. Vos ◽  
L. Kuipers
2007 ◽  
Vol 15 (23) ◽  
pp. 15531 ◽  
Author(s):  
Rong-Juan Liu ◽  
Zhi-Yuan Li ◽  
Fei Zhou ◽  
Dao-Zhong Zhang

2008 ◽  
Vol 33 (10) ◽  
pp. 1093 ◽  
Author(s):  
Baohua Jia ◽  
Andrew H. Norton ◽  
Jiafang Li ◽  
Adel Rahmani ◽  
Ara A. Asatryan ◽  
...  

2014 ◽  
Vol 11 (100) ◽  
pp. 20140736 ◽  
Author(s):  
Maria E. McNamara ◽  
Vinod Saranathan ◽  
Emma R. Locatelli ◽  
Heeso Noh ◽  
Derek E. G. Briggs ◽  
...  

Nature's most spectacular colours originate in integumentary tissue architectures that scatter light via nanoscale modulations of the refractive index. The most intricate biophotonic nanostructures are three-dimensional crystals with opal, single diamond or single gyroid lattices. Despite intense interest in their optical and structural properties, the evolution of such nanostructures is poorly understood, due in part to a lack of data from the fossil record. Here, we report preservation of single diamond ( Fd -3 m ) three-dimensional photonic crystals in scales of a 735 000 year old specimen of the brown Nearctic weevil Hypera diversipunctata from Gold Run, Canada, and in extant conspecifics. The preserved red to green structural colours exhibit near-field brilliancy yet are inconspicuous from afar; they most likely had cryptic functions in substrate matching. The discovery of pristine fossil examples indicates that the fossil record is likely to yield further data on the evolution of three-dimensional photonic nanostructures and their biological functions.


Author(s):  
Ted Janssen ◽  
Gervais Chapuis ◽  
Marc de Boissieu

The law of rational indices to describe crystal faces was one of the most fundamental law of crystallography and is strongly linked to the three-dimensional periodicity of solids. This chapter describes how this fundamental law has to be revised and generalized in order to include the structures of aperiodic crystals. The generalization consists in using for each face a number of integers, with the number corresponding to the rank of the structure, that is, the number of integer indices necessary to characterize each of the diffracted intensities generated by the aperiodic system. A series of examples including incommensurate multiferroics, icosahedral crystals, and decagonal quaiscrystals illustrates this topic. Aperiodicity is also encountered in surfaces where the same generalization can be applied. The chapter discusses aperiodic crystal morphology, including icosahedral quasicrystal morphology, decagonal quasicrystal morphology, and aperiodic crystal surfaces; magnetic quasiperiodic systems; aperiodic photonic crystals; mesoscopic quasicrystals, and the mineral calaverite.


2020 ◽  
Vol 0 (0) ◽  
Author(s):  
Dinh-Liem Nguyen ◽  
Trung Truong

AbstractThis paper is concerned with the inverse scattering problem for the three-dimensional Maxwell equations in bi-anisotropic periodic structures. The inverse scattering problem aims to determine the shape of bi-anisotropic periodic scatterers from electromagnetic near-field data at a fixed frequency. The factorization method is studied as an analytical and numerical tool for solving the inverse problem. We provide a rigorous justification of the factorization method which results in the unique determination and a fast imaging algorithm for the periodic scatterer. Numerical examples for imaging three-dimensional periodic structures are presented to examine the efficiency of the method.


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