2017
DOI: 10.1103/physrevb.95.205114
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Analysis and synthesis of cascaded metasurfaces using wave matrices

Abstract: Various matrix representations are used to analyze the propagation of electromagnetic waves through stratified (layered) media or cascaded circuit networks. These include ABCD matrices, scattering matrices, impedance matrices and hybrid matrices. A less known network representation is the wave matrix. In this work, a brief review of wave matrices is presented, and their relation to other network representations derived. Wave matrices are found for common interfaces such as boundaries between dielectric media, … Show more

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Cited by 35 publications
(26 citation statements)
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“…In Eq. 9, the intercept ω 0 and the coefficients c iα are determined by invoking the Fletcher-Reeves-Polak-Ribiere method 82 and minimizing the differences in frequencies as predicted using the frequency map and DFT calculations for the NMP-water clusters, 2 . Note that CMP, TMP and UMP all contain C=O and C=C groups, and their ω DFT are calculated from the HMR method.…”
Section: Vibrational Frequency Maps For the Nucleobase C=o Stretchesmentioning
confidence: 99%
See 1 more Smart Citation
“…In Eq. 9, the intercept ω 0 and the coefficients c iα are determined by invoking the Fletcher-Reeves-Polak-Ribiere method 82 and minimizing the differences in frequencies as predicted using the frequency map and DFT calculations for the NMP-water clusters, 2 . Note that CMP, TMP and UMP all contain C=O and C=C groups, and their ω DFT are calculated from the HMR method.…”
Section: Vibrational Frequency Maps For the Nucleobase C=o Stretchesmentioning
confidence: 99%
“…with proteins and ligands. [1][2][3][4][5][6][7] For example, X-ray diffraction has led to the breakthrough discovery of the DNA double helix, 8 while nuclear magnetic resonance spectroscopy has revealed the structures and internal motions of nucleic acids at atomic resolution. 4,7,9,10 Vibrational spectroscopy, such as infrared (IR) and Raman spectroscopy, provides a complementary and versatile tool to probe the structures and dynamics of nucleic acids ranging from small oligonucleotides to native DNA and RNA in real time in situ.…”
mentioning
confidence: 99%
“…Generic ECMs irrespective of unit cell's geometry have not been presented yet. Alternatively, all-dielectric cascaded metasurfaces can achieve multi-band, multi-functional polarization controllers [29], [30]. Such low-loss topologies are very attractive but in general thicker than cascades of patterned metallic surfaces.…”
Section: Introductionmentioning
confidence: 99%
“…While numerous efficient semianalytical macroscopic design methods were developed in recent years (e.g., [4,7,8,14,33,34]), allowing conceptual implementation of advanced field transformations via metasurfaces, translating the latter into physical structures remains a significant challenge. Most of the microscopic design schemes rely on full-wave numerical simulations to associate a given subwavelength structure with its equivalent meta-atom constituents, yielding a lookup table that is utilized for general metasurface realization.…”
Section: Introductionmentioning
confidence: 99%