5.1 What characteristics must the crystal structure of a solid have in order for optic modes to exist? Is it possible for the phonon dispersion relations of solid to contain acoustic modes only? If is only? so, what characteristics are required for the crystal structure? 1

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Q: 5. Calculate the wavelength of light that has its third minimum at an angle of 40.0º when falling on…

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Q: For a grating of 4301 l/cm calculate the angular position of the 2nd order diffraction for the light…

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Q: Q# 4.b. Monochromatic light of wavelength 542 pm is incident on a narrow slit. On a screen 4.00 m…

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Q: What is the wavelength of light that is deviated in the first order through an angle of 13.5° by a…

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Q: What is the most suitable cases for placing glass ionomers.

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Q: Consider a medium whose refractive index, n (k) is in general a function of k, wavenumber. Show that…

A: 1) If the wavelength of wave in vacuum is λ, angular frequency is  ω, wave number is  k=2πλ. So…

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A: The Young’s equation can be expressed as

Q: Consider the definition of plane waves. Can they exist in a very high-loss material? If so, what are…

A: Answer is: Consider the definition of plane waves. Plane waves are those which have uniform…

Q: For a grating of 4950 l/cm calculate the angular position of the 2nd order diffraction for the light…

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Q: Modal Dispersion in Step-Index Fibers. Determine the core radius of a multimode step- index fiber…

A: For a multimode step index fiber, the number of modes M and core radius r are related as2M=2πλr NA…

Q: Consider a bi-convex lens in air having radii of curvatures |R1| = 80 mm and |R2| = 250 mm and…

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Q: 8.2. A powder diffraction pattern was obtained from a crystal of BCC lattice (a = 3.154 Å), which…

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Q: 3. A thin layer of liquid methylene iodide (n = 1.756) is sandwiched between two flat, parallel…

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Q: Problem 6.13 A 5.00 cm-wide diffraction grating with 6000lines/cm has a slit width that is one-third…

A: Grating spacing d = 6000 /cm= 1/d = 1/6000 = 1.667 um wavelength ? = 400 * 10 ^ -9 m (a). for 1 st…

Q: Exercise 8.1: Antireflection coating: Theory∗ 6 pointsSpecially designed thin films are often used…

A: First, we need to understand the problem. We have a thin film of refractive index n2 and thickness d…

Q: 3. Calculate the angle for the third-order maximum of 490-nm wavelength yellow light falling on…

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Q: State Bragg f Diffraction conditions in reciprocal lattice

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Q: Problem 8 :We wish to coat a flat slab of glass (n-1.5) with a transparent material (n-1.25) so that…

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Q: The Rayleigh criterion provides a convenient way to describe the theoretical resolution (e.g. an…

A: Diameter of the converging lens, D=22.8 mm=22.8×10-3 m Wavelength of light from the distant objects,…

Q: Two freckles are 0.00325 m apart. When looking at them through a camera lens eye (diameter = 0.0433…

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Q: 9. 1x/03 What is the spacing d between the slits? 3 33 x 10 What is the highest order that can be…

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Q: The first-order diffraction maximum is observed at 13.2° for a crystal having an interplanar spacing…

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Q: Compare the amplitude reflection coefficient for an air-water (nw = 4/3)interface with that of an…

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Q: 2. What is the width of a single slit through which 510-nm orange light passes to form a first…

A: Let slit width be =a angle, θ=25°wavelength, w=510nm=510*10-9 m condition for minima= a sin(θ)=mw…

Q: Consider a diffraction grating with a grating constant of 500 lines/mm. The grading is illuminated…

A: Concept used: When light passes through evenly separated multiple slits in diffraction pattern,…

Q: Is it possible for the phonon dispersion relations of a solid to contain acoustic modes only?…

A: The angular frequency of the phonon is given as a function of the phonon's momentum by a dispersion…

Q: 3. For a homogeneous dielectric medium with the refractive index of n(w), the corresponding…

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Q: Why is an NMO (normal moveout) correction applied to reflections in a CMP gather? Select one: а. To…

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Q: 4. Find the distance between two slits that produces the first minimum for 430-nm violet light at an…

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Q: . Consider the following. A student sets up a diffraction experiment in a classroom laboratory. The…

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Q: Four interference lines are observed on an optical flat (with wavelength = 0.6 microns). What is the…

A: Write the given data. n=4λ=0.6 microns

Q: Suppose that you have a well calibrated interferometer, a source of a monochromatic light of known…

A: Interference is an optical phenomenon where two coherent light waves superpose on each other to…

Q: 1. Number of the modes that are travelling in the fiber. 2. Normalized frequency

A: Solution 1:- Given,          Numerical Apprature, N.A=0.54           Core diameter, d=50μm=50x10-6 m…

Q: (a) White light is spread out into its spectral components by a diffraction grating. If the grating…

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Q: 4.10 Given an optical resonator ( E1 = 30 cm ) R = -20 cm %3D 1. R2 = 15 cm a. Calculate the…

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