. The velocity of light in the core of a step index fiber is 2.01 × 108 m s-1, and the critical angle at the core-cladding interface is 80°. Determine the numerical aperture and the acceptance angle for the fiber in air, assuming it has a core diameter suitable for consideration by ray analysis. The velocity of light in a vacuum is 2.998 x 10³ ms-1
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- A uniform plane wave is generated from a ham radio antenna on earth. The take off angle is 60 degrees (the angle ffrom ground going up is 60 deg). Using simple trigonometry the angle if incidence with the ionosphere would be 30 degrees. Assume the F layer of the ionosphere is 300 km above the earth. The wave frequency from the transmitter is 21 MHz. WIll this wave refract off the ionosphere and end up somewhere on earth? If yes, what is the distance it travels?ds. The metal Rubidium has BCC crystal structure of hike angle of diffraction for the 32.1 set of planes occurs at 27° first order reflection when monochromatic X-radiation wavelength of 0.0721 am is used having Compute (a) The inter-planar spacing for this set of planes. (b) Atomic radius for the rubidium atom. aIf the field plate has diameter 24 arcmin, and the fibre entrance has di- ameter 1.0 arcsec, calculate the zenith distance at which serious losses are incurred. Assume the refractive index of the atmosphere is n = 1.00027 and ignore any seeing effects.
- Please asapQs 10. A single mode fiber with V = 2.3 and mode of fused Silica (core) of ni = 1.458. The numerical aperture of the fiber is 0.10. Compute the following. (a) n2 and radius of the core. (b) Number of mode in the fiber for operation at 820nm.EX. (1): Compute the NA, acceptance angle, and the critical angle of an optical fiber from the following data. n₁ (core) = 1.55 and n2 (cladding) = 1.50. Ans.: NA = 2 2 n₁₂² -n₂² F2 (15) 2 0.300.
- pls helpA laser beam of intensity 1.03 x 103 W/m² with a wavelength of 576 nm is incident on an opaque screen with a tiny circular aperture of radius 1.01 x 107 m. Apply the Huygens-Fresnel principle to find the intensity of the diffracted light at a distance of 1.03 cm from the center of the aperture. 1.03e-08 W/m^2 XYou wish to study the radio emission from the sun at wavelength 1.70 cm. In order to see details on the sun’s surface no larger than the diameter of the earth, the limit of resolution of the telescope must be 9.00 x 10-5 rad (about 0.005°). Using the Rayleigh criterion, find (a) the minimum diameter your radio telescope must have and (b) the limit of resolution of this telescope at wavelength 21.1 cm.
- The index of refraction of a glass rod is 1.48 at T = 20.0°C and varies linearly with temperature, with a coefficient of 2.50 x 10-5/C°. The coefficient of linear expansion of the glass is 5.00 x 10-6/C°. At 20.0°C the length of the rod is 3.00 cm. A Michelson interferometer has this glass rod in one arm, and the rod is being heated so that its temperature increases at a rate of 5.00 C°/min. The light source has wavelength λ = 589 nm, and the rod initially is at T = 20.0°C. How many fringes cross the field of view each minute?Problem 8: A laser beam with wavelength λ = 550 nm hits a grating with n = 2250 grooves per centimeter. Part (a) Calculate the grating spacing, d, in centimeters. Part (b) Find the sin of the angle, θ2, at which the 2nd order maximum will be observed, in terms of d and λ. Part (c) Calculate the numerical value of θ2 in degrees. please help with all 3 partsParameters of a Dielectric Waveguide. Light of free-space wavelength X, = 0.87 um is guided by a thin planar film of width d = 2 μm and refractive index n₁ = 1.6 surrounded by a medium of refractive index n₂ = 1.4. (a) Determine the critical angle 0, and its complement c, the numerical aperture NA, and the maximum acceptance angle for light originating in air (n = 1). (b) Determine the number of TE modes. (c) Determine the bounce angle and the group velocity v of the m= 0 TE mode.