A common approach to non-uniformity is to assume that the local thicknesses inside the light spot are distributed according to a certain distribution, such as the uniform distribution or the Wigner semicircle distribution. A model considered in this work uses a different approach in which the local thicknesses are given by a polynomial in the coordinates x and y along the surface of the film. An approach using the Gaussian quadrature is very efficient for including the influence of the non-uniformity on the measured ellipsometric quantities. However, the nodes and weights for the Gaussian quadrature must be calculated numerically if the non-uniformity is parameterized by the second or higher degree polynomial. A method for calculating these nodes and weights which is both efficient and numerically stable is presented. The presented method with a model using a second-degree polynomial is demonstrated on the sample of highly non-uniform polymer-like thin film characterized using variable-angle spectroscopic ellipsometry. The results are compared with those obtained using a model assuming the Wigner semicircle distribution.
Download full-text PDF |
Source |
|---|---|
| http://dx.doi.org/10.1364/OE.380657 | DOI Listing |
Publication Analysis
Top Keywords
Similar Publications
Copy number variants (CNVs) are prevalent in both diploid and haploid genomes, with the latter containing a single copy of each gene. Studying CNVs in genomes from single or few cells is significantly advancing our knowledge in human disorders and disease susceptibility. Low-input including low-cell and single-cell sequencing data for haploid and diploid organisms generally displays shallow and highly non-uniform read counts resulting from the whole genome amplification steps that introduce amplification biases.
View Article and Find Full Text PDFInterfacial modulation with homogeneous gallium phosphide protective layer enables dendrite-free and superior stable sodium metal anode.
J Colloid Interface Sci
December 2024
College of Materials Science and Engineering, Nanjing Tech University, Nanjing, Jiangsu 211816, China; Jiangsu Collaborative Innovation Center for Advanced Inorganic Function Composites, Nanjing Tech University, Nanjing 211816, China. Electronic address:
Sodium metal is heralded as a premier anode candidate poised to supplant lithium in next-generation rechargeable batteries due to its abundant availability, cost-effectiveness, and superior energy density. Due to the highly reactive nature of metallic sodium, an unstable solid electrolyte interphase (SEI) forms spontaneously on the Na metal anode. This instability leads to non-uniform sodium deposition during cycling, promoting dendrite growth and the accumulation of "dead" sodium.
View Article and Find Full Text PDFA stable zeolite with atomically ordered and interconnected mesopore channel.
Nature
December 2024
Laboratoire Catalyse et Spectrochimie, Normandie University, ENSICAEN, UNICAEN, CNRS, Caen, France.
Zeolites are crystalline microporous materials constructed by corner-sharing tetrahedra (SiO and AlO), with many industrial applications as ion exchangers, adsorbents and heterogeneous catalysts. However, the presence of micropores impedes the use of zeolites in areas dealing with bulky substrates. Introducing extrinsic mesopores, that is, intercrystal/intracrystal mesopores, in zeolites is a solution to overcome the diffusion barrier.
View Article and Find Full Text PDFNon-Radical Mediated Photocatalytic HO Synthesis in Conjugate-Enhanced Phenolic Resins with Ultrafast Charge Separation.
Angew Chem Int Ed Engl
December 2024
Inner Mongolia Key Laboratory of Rare Earth Catalysis, School of Chemistry and Chemical Engineering, Inner Mongolia University, Hohhot, Inner Mongolia, 010021, PR China.
It is essential for the development of highly efficient polymeric photocatalysts for hydrogen peroxide (HO) production. Nevertheless, the non-uniform molecular structures and sluggish reaction pathway of polymeric photocatalysts lead to low conversion efficiency. In this work, we report sulfur-contained phenolic resins with regulated conjugation for photocatalytic HO production.
View Article and Find Full Text PDFVectorial structured light beams, characterized by their topological charge and non-uniform polarization distribution, are highly promising beam modes for several applications in different domains of optics and photonics. To harness its potential specifically in optical communication, data encryption, and optical trapping, it is necessary to tailor a multitude of these beams with arbitrary and large topological charge and polarization distribution. However, achieving the above-mentioned requires bulky optical setups that necessitate the superposition of two beams or involve complex material fabrication techniques that can directly generate these beams.
View Article and Find Full Text PDFWant AI Summaries of new PubMed Abstracts delivered to your In-box?
Enter search terms and have AI summaries delivered each week - change queries or unsubscribe any time!