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Related Concept Videos

Two-Dimensional (2D) NMR: Overview01:12

Two-Dimensional (2D) NMR: Overview

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The 1D NMR spectrum of large and complex molecules like natural products has complicated splitting patterns and overlapping signals, which can be easily interpreted using 2-dimensional (2D) NMR. Unlike 1D NMR, 2D NMR has two frequency axes that provide the coupling information between the nucleus A and nucleus B in a molecule. The process from which 2D spectra are obtained has four steps.
The first step is the preparation period, during which nucleus A is excited with a radiofrequency pulse....
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2D NMR: Overview of Homonuclear Correlation Techniques01:16

2D NMR: Overview of Homonuclear Correlation Techniques

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Homonuclear correlation spectroscopy (COSY) is a powerful technique used in Nuclear Magnetic Resonance (NMR) spectroscopy to study the correlations between nuclei of the same type within a molecule. It provides information about scalar couplings between adjacent nuclei, which helps determine connectivity and structural information. There are several COSY variants, each with its unique strengths and experimental parameters.
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2D NMR: Overview of Heteronuclear Correlation Techniques01:18

2D NMR: Overview of Heteronuclear Correlation Techniques

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Heteronuclear correlation spectroscopy is an analytical technique that investigates the coupling between different types of nuclei, often a proton and an X-nucleus, such as carbon-13 or nitrogen-15. This method is commonly used in nuclear magnetic resonance (NMR) spectroscopy to gain insights into complex chemical compounds' structural and compositional aspects. A typical heteronuclear correlation spectrum displays X-nucleus chemical shifts on one axis and a proton spectrum on the other...
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2D NMR: Homonuclear Correlation Spectroscopy (COSY)01:06

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Homonuclear correlation spectroscopy, or COSY, is a 2-dimensional NMR technique that provides information about coupled protons. Typically, the geminal and vicinal coupling are observed. For example, consider the COSY spectrum of ethyl acetate, where its 1D proton NMR spectrum is plotted along the vertical and horizontal axes with their corresponding chemical shift scale. Three spots on the diagonal corresponding to the three peaks in the 1D proton spectrum are called diagonal peaks. The COSY...
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Definite Integral01:29

Definite Integral

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Consider a real-valued function defined on a closed interval. One of the fundamental objectives in calculus is to determine the area under the graph of such a function. When an exact computation is not readily available, this area can be estimated by dividing the interval into a finite number of equal subintervals. Each subinterval corresponds to a rectangle whose width is the length of the subinterval and whose height is determined by the value of the function at a selected point within that...
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Indefinite Integrals01:25

Indefinite Integrals

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The water inflow rate into a storage tank is not constant but increases over time. Initially, the pump delivers water at a rate of 5 L/min. However, the inflow rate increases by 2 L/min for each additional minute due to rising pressure or system adjustments. This scenario can be described mathematically by a linear function:It is necessary to integrate the inflow rate function to measure the total volume of water added to the tank over time. The total water volume V(t) is obtained by performing...
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Heterogeneous 2D/3D photonic integrated microsystems.

S J Ben Yoo1, Binbin Guan1, Ryan P Scott1

  • 1Department of Electrical and Computer Engineering, University of California, Davis, CA 95616, USA.

Microsystems & Nanoengineering
|May 7, 2019
PubMed
Summary
This summary is machine-generated.

Heterogeneous integration of 2D and 3D photonic integrated circuits (PICs) enables advanced functionalities. Combining these technologies offers new possibilities for optical communications and beam steering.

Keywords:
photonic integrated circuitsthree-dimensional photonicsultrafast laser inscription

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Area of Science:

  • Photonics
  • Integrated Circuits
  • Optical Communications

Background:

  • Exponential growth in data communication necessitates large-scale heterogeneous integration.
  • Photonic integrated circuits (PICs) are increasingly developed in both 2D and 3D formats.
  • Existing fabrication methods for 3D PICs include ultrafast laser inscription (ULI) and multilayer stacking.

Purpose of the Study:

  • To explore the integration of 2D and 3D PICs for advanced functionalities.
  • To demonstrate the benefits of heterogeneous photonic integration in specific applications.
  • To highlight the potential of combined 2D/3D PICs for future microsystems.

Main Methods:

  • Utilizing ultrafast laser inscription (ULI) for freeform 3D waveguide fabrication.
  • Employing multilayer stacking of planar PICs for 3D PIC fabrication.
  • Integrating 2D and 3D PICs for applications like space-division multiplexing (SDM) and optical beam steering.

Main Results:

  • Demonstrated polarization-diversified SDM using 15 orbital-angular-momentum (OAM) states by combining 3D and 2D PICs.
  • Showcased large-scale (16x16) optical phased arrays using ULI 3D PICs.
  • Achieved low propagation loss and dual-polarization support in 3D PICs for OAM applications.

Conclusions:

  • Heterogeneous 2D/3D photonic integration combines the advantages of both 2D and 3D approaches.
  • This integration enables novel functionalities like non-mechanical beam steering and advanced photonic signal processing.
  • The demonstrated applications show significant potential for future optical communication systems and integrated microsystems.