The group velocity of electromagnetic waves traveling through a gas is given by:w dK1-VE2K doWhere K is the dielectric constant of the gas and is related to the refractive index(n) as K = n. Thefrequency dependence of the dielectric constant of the gas can be expressed asA1K =1+-A= 1+(@ - a*)27x3x101.06x10-62ncWhere @.=17.78x104radians (i.e. 2 = 1.06 um)A0.8982 → A=0.8982o, rada) Determine the wavelength (in nanometers) at which the group velocity equals the phasevelocityb) Determine the group velocity (in meters/second) for the gas at the wavelength of part a.c) Determine the refractive index of the gas at the wavelength of part a

The group velocity of electromagnetic waves traveling through a gas is given by: o dK 1 VK 2K do. Where K is the dielectric constant of the gas and is related to the refractive index(n) as K =n² . The frequency dependence of the dielectric constant of the gas can be expressed as A 1 K =1+ =1+ (@; - o*) 2лс 2лх3x10° Where w. = 17.78x10"radians (i.e. 2 1.06um) 1.06x10- A =0.8982 → A =0.8982o, rad a) Determine the wavelength (in nanometers) at which the group velocity equals the phase velocity b) Determine the group velocity (in meters/second) for the gas at the wavelength of part a. c) Determine the refractive index of the gas at the wavelength of part a

The group velocity of electromagnetic waves traveling through a gas is given by: o dK 1 VK 2K do. Where K is the dielectric constant of the gas and is related to the refractive index(n) as K =n² . The frequency dependence of the dielectric constant of the gas can be expressed as A 1 K =1+ =1+ (@; - o*) 2лс 2лх3x10° Where w. = 17.78x10"radians (i.e. 2 1.06um) 1.06x10- A =0.8982 → A =0.8982o, rad a) Determine the wavelength (in nanometers) at which the group velocity equals the phase velocity b) Determine the group velocity (in meters/second) for the gas at the wavelength of part a. c) Determine the refractive index of the gas at the wavelength of part a

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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