removing the foot From Wikipedia: Apodization literally means removing the foot. To apodize is the technical term for changing the shape of a mathematical function, an electrical signal, an optical transmission or a mechanical structure to remove or smooth a discontinuity at the edges.

What is apodization function?

An apodization function (also called a tapering function or window function) is a function used to smoothly bring a sampled signal down to zero at the edges of the sampled region.

How do you reduce side lobes on ultrasound?

The most common method for side lobe reduction via manipulation of the transmitted field is applying a weighting amplitude (i.e. apodization) across the aperture using various functions including Hamming, Hanning, and Blackman4 , 14.

What is apodization NMR?

Apodization (also referred to as Weighting or Windowing) literally translates to ‘cutting off the feet’ from the original Greek. In this case, the ‘feet’ are the leakage or wiggles that appears when the NMR signal rapidly decays to zero.

What is Apodized intraocular lens?

The concept of apodization means a gradual transition of optical properties from the center of a lens to the edge. In this case there are a series of twelve diffractive rings over the central 3.6 millimeters of the lens optic.

What causes side lobes?

The mainlobe shape and width, as well as the near sidelobe levels, are determined by the wavelength, the antenna reflector size, and the tapering of its illumination. More distant sidelobes are caused by imperfection in the antenna and blockage of radiation by the feed horn, its supports (Fig. 3.3), radome, and so on.

What is the difference between side lobes and grating lobes?

Grating lobes are a special case of a sidelobe. … It is conceptually useful to distinguish between sidelobes and grating lobes because grating lobes have larger amplitudes than most, if not all, of the other side lobes. The mathematics of grating lobes is the same as of X-ray diffraction.

Why do grating lobes occur?

Grating lobes will occur whenever the size of individual elements in an array is equal to or greater than the wavelength, and there will be no grating lobes when element size is smaller than half a wavelength.

What causes line broadening in NMR?

A basic NMR line broadening experiment is to determine the rotational energy barrier of a certain chemical bond. … At low temperatures, however, it is harder for a bond to overcome the energy barrier to rotate, resulting in two separate peaks in the spectrum.

What are refractive IOLs?

Intraocular lens implants (IOLs) are used in both refractive lens exchange and cataract surgery to replace the natural lens of the eyes and correct for refractive errors.

What is ReSTOR lens?

The ReSTOR® lens is a type of intraocular lens implant (IOL) that can be used in cataract surgery. The goal of this IOL is to allow patients to see at near and far distances without glasses.

What is diffractive IOL?

Diffractive multifocal IOLs intentionally induce diffraction so that the waves exiting the lens will have constructive interference at two or more distinct foci at different distances. … Consequently, diffractive multifocal IOLs have replaced zonal refractive multifocal lenses as the treatment for presbyopia.

What causes side lobes in ultrasound?

Ultrasound transducer crystals expand and contract to produce primary ultrasound beams in the direction of expansion and contraction. Secondary beams occur because the crystals also expand and contract radially. These radial beams are called side lobe beams.

Is it possible to have antenna with 0 sides or back lobes?

you can combine two antennas into one, back to back. Any end-fire array with element spacing half a wavelength will produce two main lobes located at 0 and 180 deg in azimuth and 0 deg in elevation. … A simple solution could be a linear array of vertical dipoles or monopoles.

What is side lobe echo?

Side lobe artifacts occur where side lobes reflect sound from a strong reflector that is outside of the central beam, and where the echoes are displayed as if they originated from within the central beam.

What is Ula antenna?

A Uniform Linear Array (ULA) is a collection of sensor elements equally spaced along a straight line. The most common type of sensor is a dipole antenna that can transmit and receive Electromagnetic Waves over the air. Other types of sensors include acoustic sensors that may be used in air or under water.

What is grating lobes in ultrasound?

Grating lobes is the term for secondary main lobes (very strong sidelobes) in the antenna diagram. They have approximately the size of the main lobe and are distributed grid-like in the diagram. Grating lobes sometimes occur with phased array antennas (and also with ultrasound probes used in sonography).

What are grating lobes?

Grating lobes are the maxima of the main beam, as predicted by the pattern multiplication theorem. … Grating lobes appear when the array spacing is greater than λ / 2 . For large spacing, grating lobes can appear in the visible space even at a zero scan angle.

What do you mean by grating lobes how can they be suppressed?

In antenna arrays inter-element spacing with lambda or more creates grating lobes. Pseudo suppression of these lobes is possible by decreasing the inter-element spacing along with optimization of feed excitations; however, this increases the main-lobe beam-width.

What are functions of grating lobes in ultrasound transducer?

In transmit mode, grating lobes cause an array to transmit sound energy in unintended directions. In receive mode, grating lobes prevent an array’s ability to detect the direction of incoming sound energy.

What is a phased array ultrasound transducer?

Phased Arrays are arrays of ultrasound transducers that fire individual elements on the array in a specific sequence in order to direct the sound wave in a specific direction. … A phased array ultrasound transducer typically will have a smaller footprint than a linear or curved array, but can still image a large area.

What is line broadening?

Line broadening, in spectroscopy, the spreading across a greater wavelength, or frequency range, of absorption lines (dark) or emission lines (bright) in the radiation received from some object. … Natural broadening is always present, is the same at all wavelengths, and is very small.

What is FWHM in NMR?

full width at half maximum (FWHM) in the. frequency domain : Broadening of the magnetic resonance may occur due to interaction. with neighbouring nuclear spins: dipole-dipole coupling. Electron-nuclear interaction influences the NMR linewidth via two.

What is line width NMR?

The line width Δν can be taken to be the width of the line in frequency units at half maximum height. It is most convenient to think of line widths in frequency units because most of our spectra are plotted this way.