An introduction to the analysis of intensity

The pressure waveform in the canine aorta. Wang University of Calgary Alberta, Canada. Wave intensity analysis is now more than 20 years old. It offers an alternative to the traditional Fourier methods for the analysis of waves in blood vessels.

An introduction to the analysis of intensity

Many of the reciprocal lattice rods meet the diffraction condition, however the RHEED system is designed such that only the low orders of diffraction are incident on the detector. The RHEED pattern at the detector is a projection only of the k vectors that are within the angular range that contains the detector.

The size and position of the detector determine which of the diffracted electrons are within the angular range that reaches the detector, so the geometry of the RHEED pattern can be related back to the geometry of the reciprocal lattice of the sample surface through use of trigonometric relations and the distance from the sample to detector.

The k vectors are labeled such that the k vector that forms the smallest angle with the sample surface is called 0th order beam. Each successive intersection of a rod and the sphere further from the sample surface is labeled as a higher order reflection. The specular point has the greatest intensity on a RHEED pattern and is labeled as the 00 point by convention.

The reciprocal lattice rods in Figure 3 show the end on view of these planes, which are perpendicular to the computer screen in the figure. However, interference effects between the diffracted electrons still yield strong intensities at single points on each Laue circle.

The reciprocal lattice rods are so closely space, that they comprise the plane cutting the sphere. Diffraction conditions are fulfilled on the perimeter of the Laue circle. The vectors are all equal to the reciprocal of the incident vector, k. Most RHEED systems are equipped with a sample holder that can rotate the crystal around an axis perpendicular to the sample surface.

RHEED users rotate the sample to optimize the intensity profiles of patterns. The incident electron beam is incident on an identical surface structure at a different azimuth angles in a and b.

The sample is viewed from the top in the figure, and the points correspond to the reciprocal lattice rods, which extend out of the screen. The brightness or intensity at a point on the detector depends on dynamic scattering, so all analysis involving the intensity must account for dynamic scattering.

These inelastically scattered electrons can reach the detector to yield kikuchi diffraction patterns, which are useful for calculating diffraction conditions. The Kikuchi lines pass through the Laue circles and appear to radiate from the center of the pattern.

Tungsten filaments are the primary electron source for the electron gun of most RHEED systems due to the low work function of tungsten. In the typical setup, the tungsten filament is the cathode and a positively biased anode draws electrons from the tip of the tungsten filament.

The optimal anode bias is dependent upon the type of information desired. At large incident angles, electrons with high energy can penetrate the surface of the sample and degrade the surface sensitivity of the instrument. An adjustable magnetic lens focuses the electrons onto the sample surface after they pass through the anode.

These detectors emit green light from areas where electrons hit their surface and are common to TEM as well. The detector screen is useful for aligning the pattern to an optimal position and intensity.

CCD cameras capture the patterns to allow for digital analysis. Contaminants on the sample surface interfere with the electron beam and degrade the quality of the RHEED pattern.

Qualitative Phase Analysis

RHEED users employ two main techniques to create clean sample surfaces. Large samples, or those that are not able to be cleaved prior to RHEED analysis can be coated with a passive oxide layer prior to analysis.

An introduction to the analysis of intensity

Vacuum requirements[ edit ] Because gas molecules diffract electrons and affect the quality of the electron gun, RHEED experiments are performed under vacuum. The RHEED system must operate at a pressure low enough to prevent significant scattering of the electron beams by gas molecules in the chamber.

The chamber pressure is minimized as much as possible in order to optimize the process. The vacuum conditions limit the types of materials and processes that can be monitored in situ with RHEED.

RHEED patterns of real surfaces[ edit ] Previous analysis focused only on diffraction from a perfectly flat surface of a crystal surface. As Fig 3 shows, the reciprocal lattice rods with the lowest orders intersect the Ewald sphere at very small angles, so the intersection between the rods and sphere is not a singular point if the sphere and rods have thickness.

The incident electron beam diverges and electrons in the beam have a range of energies, so in practice, the Ewald sphere is not infinitely thin as it is theoretically modeled.

The reciprocal lattice rods have a finite thickness as well, with their diameters dependent on the quality of the sample surface. Streaks appear in the place of perfect points when broadened rods intersect the Ewald sphere.

In real cases, streaky RHEED patterns indicate a flat sample surface while the broadening of the streaks indicate small area of coherence on the surface.An Introduction to Fluorescence Spectroscopy 9 Figure 2 Idealised absorption and emission spectra In practice, the transitions in the absorption and emission spectra rarely coincide exactly, the difference representing a small loss of energy by interaction of the absorbing molecule .

Quantitative Phase Analysis

An X-ray diffraction pattern is a plot of the intensity of X-rays scattered at different angles by a sample • The detector moves in a circle around. Wave intensity analysis was introduced 20 years ago for the study of cardiovascular dynamics. In many ways it is a departure from the traditional Fourier methods of analysis that have dominated the field since the s [7].

It represents the waveforms of pressure and velocity as successive. An Introduction to Biomedical Image Analysis with TensorFlow and DLTK. What is biomedical image analysis and why is it needed?. An Introduction to X-ray Powder Diffraction Analysis. When a beam of X-rays illuminates a single crystal, many “spots” are generated.

The positions of the spots are determined by the size and shape of the unit cell and the symmetry.

An introduction to the analysis of intensity

An introduction to wave intensity analysis Kim H. Parker Received: 17 July /Accepted: 9 January /Published online: 11 February International Federation for Medical and Biological Engineering Abstract Wave intensity analysis applies methods first used to study gas dynamics to cardiovascular haemody-namics.

Reflection high-energy electron diffraction - Wikipedia