(III) A beam of light enters the end of an optic fiber asshown in Fig. 23–58. (a) Show that we can guarantee totalinternal reflection at the side surface of the material (atpoint A), if the index of refraction is greater than about1.42. In other words, regardless of the angle a, the lightbeam reflects back into the material at point A, assumingair outside. (b) What if the fiber were immersed in water?IBAirTransparentmaterialFIGURE 23-58 Problem 40.

Concept: The mathematical expression for law of refraction is given as Here is the refractive…

Answered: (III) A beam of light enters the end of…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

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For a glass equilateral prism, with a base length of 50 mm. If you shine a beam of light through it on an optical path that is initially parallel to the base of the prism, calculate the following. The glass has an absorption coefficient ß of 6.56x10 mm' and a refractive index n of 1.498. The prism is held in air, n = 1. Show your work. a) Calculate the red path length x in mm. b) Calculate the exit angle Og shown on the diagram. c) Calculate the %reflection of the air/glass interface. d) Calculate the %transmission along x accounting for both (A) absorption and (R) reflection. e) Calculate the total % loss due to reflection. ) Calculate the total % loss due to absorption. 60° Not to scale 50 mm 25 mm
Your answer is partially correct. A laser emits 4.07 × 1019 photons per second in a beam of light that has a diameter of 2.32 mm and a wavelength of 514.5 nm. Determine (a) the average electric field strength and (b) the average magnetic field strength for the electromagnetic wave that constitutes the beam. (a) Number i 0.00493 Units N/C (b) Number i 0.0000000000164 Units T
Determine the expected diffraction angle (in degrees) for the first-order reflection from the (310) set of planes for BCC chromium(Cr) when monochromatic radiation of wavelength 0.0711 nm is used. (Rcr= 0.1249nm)
The figure below shows the path of a beam of light through several layers with different indices of refraction. (Assume n4 = 1.10.) (a) If ?1 = 32.0°, what is the angle ?2 of the emerging beam? (b) What is the smallest incident angle ?1 to have total internal reflection at the surface between the medium with n = 1.20 and the medium with n4 = 1.10?
What is the equation for the distance y to the center of the mth bright region for a single slit diffraction pattern produced by a light source with wavelength A going through a slit of width a seen on a screen located a distance L away from the slit? mAL ㅇ (m+) Ma L. O (m+;)AL
Wavelength (um) Refractive index in water 2.0 1.1 × 10-3 2.89 x 10-4 9.56 × 10-4 3.17 x 10-3 What are the 2.2 2.4 angles of refraction when 2.6 light enters and exits a water droplet, forming a rainbow in the A case of non- Li-r visible 2.0 - 2.6 um microwaves 'B 180°-2r (First order rainbow)
A typical person can detect light with a minimum intensity of 4.0 x10-11 W/m2. For light of this intensity and λ = 550 nm, how many photons enter the eye each second if the pupil is open wide with a diameter of 9.0 mm?
A light of a given wavelength is shining through a double slit plate with slits of width a and slit separation d which produces a diffraction pattern on a screen some distance away. If the intensity pattern for the double slit diffraction aspect of this setup is: And the intensity pattern for the single slit diffraction aspect of this setup is: Which of the following intensity plots best represents what you would see on the screen:
A laser contains a Ti:sapphire rod of length 5mm and composed of a material with n=1.76 and n2=1x10-19m2 w-1 The FWHM (intensity) beam diameter is 100µm, the average intra-cavity laser power is 8W, the pulse duration is 53fs and the pulse repetition frequency is 64MHZ. By considering the optical Kerr effect, by what distance (in nm) does the center of the beam lag behind the FWHM points after propagating the length of the rod?
Calculate the energy of a photon of light with a frequency of 4.35E 14 Hz. (Planck's constant: h = 6.63 E-34 Js)
CONSIDER AM DBJECT COMPOSED OF TWO SMALL METAL PALLETS LOCATED IN (x;Y) = (2:0) AMD (2:2) AND A PIECE OF WIRE STRETCHED BETWEEN (0;-2) AND (0:0). (A) DRAW THIS OBJECT. SUPPOSE THAT M PHOTOMS ARE FIRED AT EACH X LATERAL POSITION IM a paralleL -RAY COMFIGURATION. FOR SIMPLICITY, SUPPOSE THAT EACH METAL OBTECT STOPS HALF OF THE PHOTONS THAT TOUCH IT, REGARDLESS OF THE ANGLE AT WHICH IT IS TOUCHED. (B) DRAW THE NUMBER OF PHOTOMS YOU EXPECT TO SEE ACCORDING TO x FOR Q = 90° C. DRAW THE RADON TRAMSFORM R (x) FOR = p = 90°
Consider the Bragg equation in the x-ray diffraction. If the value of the wavelength is doubled, which of the following is NOT true?Required to answer. Single choice. Bragg angles of reflections increase The d spacings become smaller. The diffraction pattern expands. Some previously accessible reflections can no longer be measured. None of the above

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