Abstract:Gaussian beam intensity follows a normal distribution curve in free space. As it propagates, the divergence and the width increase with distance. Using paraxial approximation, the effect of the distance on the intensity, width, radius of curvature and divergence was investigated. Matlab software was used for characteristics parameters calculation. The divergence angle range (26.67 4mm, and compared with the divergence angle range (43 for the distance between 3mm and 4.5mm. The result obtained in this work indi… Show more
“…Gaussian beam is increased from 0mm to 2:99 Â 10 9 mm for the propagation distance 0 mm to 12 mm. Therefore, the radius of curvature represents the linear variation with distance [10].…”
Section: Radius Of Curvature Of Gaussian Beam As a Function Of The Pr...mentioning
confidence: 99%
“…P(z) gives the information to the phases of the waves. If q 0 is real then we have (Figures 12-18) [10];…”
Section: Gaussian Wavementioning
confidence: 99%
“…The better beam quality and intensity is represented by the smaller angle of divergence. The propagation distance leads to intensity, spot size, radius of curvature and divergence [10].…”
Section: Introductionmentioning
confidence: 99%
“…(58) and (59) repersents divergence angle range 27:67 0 ≤ θ ≤ 35:85 0 ðÞ at the distance 3 mm to 4.5 mm. The divergence and the propagation distance are proportional to each other[10].…”
The electromagnetic waves and its propagation through material medium described by maxwell’s equations. We have identified that electromagnetic waves propagate through carbon nanotubes according to electric hertz potential with solution of Helmholtz equation and satisfied by using the concept of Gaussian beam or wave. When monochromatic electromagnetic wave propagates through a hollow single wall carbon nanotube, its energy absorbed by walls of nanotubes just like a capacitor because of carbon nanotubes have metallic as well as semiconductor characteristic which is shown by density of state and lattice vector. It is verified by Helmholtz equation and Schrödinger’s wave equation. Thus, the electromagnetic waves can propagate through carbon nanotubes and carbon nanotubes absorb the energy as a capacitor.
“…Gaussian beam is increased from 0mm to 2:99 Â 10 9 mm for the propagation distance 0 mm to 12 mm. Therefore, the radius of curvature represents the linear variation with distance [10].…”
Section: Radius Of Curvature Of Gaussian Beam As a Function Of The Pr...mentioning
confidence: 99%
“…P(z) gives the information to the phases of the waves. If q 0 is real then we have (Figures 12-18) [10];…”
Section: Gaussian Wavementioning
confidence: 99%
“…The better beam quality and intensity is represented by the smaller angle of divergence. The propagation distance leads to intensity, spot size, radius of curvature and divergence [10].…”
Section: Introductionmentioning
confidence: 99%
“…(58) and (59) repersents divergence angle range 27:67 0 ≤ θ ≤ 35:85 0 ðÞ at the distance 3 mm to 4.5 mm. The divergence and the propagation distance are proportional to each other[10].…”
The electromagnetic waves and its propagation through material medium described by maxwell’s equations. We have identified that electromagnetic waves propagate through carbon nanotubes according to electric hertz potential with solution of Helmholtz equation and satisfied by using the concept of Gaussian beam or wave. When monochromatic electromagnetic wave propagates through a hollow single wall carbon nanotube, its energy absorbed by walls of nanotubes just like a capacitor because of carbon nanotubes have metallic as well as semiconductor characteristic which is shown by density of state and lattice vector. It is verified by Helmholtz equation and Schrödinger’s wave equation. Thus, the electromagnetic waves can propagate through carbon nanotubes and carbon nanotubes absorb the energy as a capacitor.
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