Coupled-wave theory for birefringent photonic quasicrystal structures

Ho, I-Lin; Lee, Ming‐Tsung; Chang, Yia-Chung

doi:10.1364/josab.29.000382

Cited by 6 publications

(6 citation statements)

References 21 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Due to the large number of plane waves involved as we double the dimensionality (which changes the number of basis functions from N to M=N 2 ). Fortunately, by using an importance sampling technique, one can reduce the number of basis functions (M) needed to obtain convergent results back to around a few times of N. [20] The calculated results display proper convergence/accuracy with suitable truncation of Fourier components in an efficient way, and show good agreement with results obtained by the FDTD method. The diffraction/reflection behaviors of twodimensional (2D) quasicrystal surfaces under various polarization and angles of incidence are then studied.…”

Section: Rigorous Coupled-wave Analysismentioning

confidence: 54%

“…Computation algorithms for simple 1D and 2D birefringent quasicrystals have been implemented to study the characteristic diffractions of the aperiodic structures. [20] Compared to traditional supercell method, the coupled-waves approach allows us to capture the entire infinite aperiodic quasicrystal in a single finite computational cell, albeit at only a finite resolution. Due to the large number of plane waves involved as we double the dimensionality (which changes the number of basis functions from N to M=N 2 ).…”

Section: Rigorous Coupled-wave Analysismentioning

confidence: 99%

See 1 more Smart Citation

Efficient computation methods for 3D microscopic ellipsometry

Chang¹,

Xie²

2014

Proceedings of the 2013 International Workshop on Computational Science and Engineering — PoS(IWCSE2013)

Self Cite

View full text Add to dashboard Cite

We review theoretical models for describing light scattering from various distributions of micro/nano structures on a substrate. We review results obtained by rigorous coupled wave analysis (RCWA) and the multilayer Green's function (GF) method with geometry-adapted basis functions and compare the pros and cons. We show that the GF method is particularly useful for calculating the ellipsometry spectra of a variety of systems efficiently and accurately. The calculated ellipsometric spectra can be compared with experimental data for a large frequency range to extract the critical dimensions of structure features. Finally, we show how to use the GF method to compute signals of microscopic imaging ellipsometry efficiently, including examples on light scattering spectra for ZnO microspheres and the polarization-dependent reflectance images.

show abstract

Section: Rigorous Coupled-wave Analysismentioning

confidence: 54%

Section: Rigorous Coupled-wave Analysismentioning

confidence: 99%

Efficient computation methods for 3D microscopic ellipsometry

Chang¹,

Xie²

2014

Proceedings of the 2013 International Workshop on Computational Science and Engineering — PoS(IWCSE2013)

Self Cite

View full text Add to dashboard Cite

show abstract

“…Therefore, the intrinsic periodicity in the quasicrystalline lattice makes the Floquet’s theory still be effective and the RCWA has been used to calculate the 1D Fibonacci grating 19 . Utilization the RCWA on studying the diffraction properties of 2D octagonal quasicrystalline structure is also found 21 22 .…”

mentioning

confidence: 94%

Broadband multiple responses of surface modes in quasicrystalline plasmonic structure

Yuan

Jiang

Huang

et al. 2016

Sci Rep

View full text Add to dashboard Cite

We numerically study the multiple excitation of surface modes in 2D photonic quasicrystal/metal/substrate structure. An improved rigorous coupled wave analysis method that can handle the quasicrystalline structure is presented. The quasicrystalline lattice, which refers to Penrose tiling in this paper, is generated by the cut-and-project method. The normal incidence spectrum presents a broadband multiple responses property. We find that the phase matching condition determines the excitation frequency for a given incident angle, while the depth of the reflection valley depends on the incident polarization. The modes will split into several sub-modes at oblique incidence, which give rise to the appearance of more responses on the spectrum.

show abstract

mentioning

confidence: 99%

“…With the increasing propagation distance z 0 > z T , the phase deviation is amplified and it raises a significant departure from the inference by Eqs. (15)- (16). In fact, the ergodicity of phase of u 1d at z 0 ≫ z T will be unsettled until further studies.…”

mentioning

confidence: 99%

Multiscale Talbot effects in Fibonacci geometry

Chang

2015

J. Opt.

Self Cite

View full text Add to dashboard Cite

This article investigates the Talbot effects in Fibonacci geometry by introducing the cut-and-project construction, which allows for capturing the entire infinite Fibonacci structure into a single computational cell. Theoretical and numerical calculations demonstrate the Talbot foci of Fibonacci geometry at distances that are multiples (τ + 2)(Fµ + τ F µ+1 ) −1 p/(2q) or (τ + 2)(Lµ + τ L µ+1 ) −1 p/(2q) of the Talbot distance. Here, (p, q) are coprime integers, µ is an integer, τ is the golden mean, and Fµ and Lµ are Fibonacci and Lucas numbers, respectively. The image of a single Talbot focus exhibits a multiscale pattern due to the self-similarity of the scaling Fourier spectrum.

show abstract

Coupled-wave theory for birefringent photonic quasicrystal structures

Cited by 6 publications

References 21 publications

Efficient computation methods for 3D microscopic ellipsometry

Efficient computation methods for 3D microscopic ellipsometry

Broadband multiple responses of surface modes in quasicrystalline plasmonic structure

Multiscale Talbot effects in Fibonacci geometry

Contact Info

Product

Resources

About