An ionized gas or plasma is a dispersive medium for EM waves Given that the dispersion equation is where Iuml p is the constant plasma frequency, determine expressions for both the phase and group velocities and show that vv g c 2 o w, ck p...

An ionized gas or plasma is a dispersive medium for EM waves. Given that the dispersion equation

Question:

An ionized gas or plasma is a dispersive medium for EM waves. Given that the dispersion equation is

o² = w, + c²k? @p

where Ï‰_p is the constant plasma frequency, determine expressions for both the phase and group velocities and show that vv_g = c².

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Optics

ISBN: 978-0133977226

5th edition

Authors: Eugene Hecht

See More Books

Question Posted: Jan 09, 2019 11:52 AM

See More Questions

A T = 5 ps transform-limited pulse propagates in a dispersive medium for which 2 = 10 ps 2 /km. Over what distance will the pulse spread to twice its initial width?
A T = 20 ps transform-limited pulse propagates through 10 km of a dispersive medium for which 2 = 12 ps 2 /km. The pulse then propagates through a second 10 km medium for which 2 = 12 ps 2 /km....
Given the dispersion relation = k 2 , compute both the phase and group velocities.
A heat engine cycle is executed with ammonia in the saturation dome. The pressure of ammonia is 1.5 MPa during heat addition and 0.6 MPa during heat rejection. What is the highest possible thermal...
Health Care Inc. (HCI) uses a flexible budgeting system, rather than only the current master budget. The following data are available for HCI's expected costs at production levels of 100,000,...
If a person's taxable income is $20,000, how much does he pay in taxes? Taxable income rises by $1,500 and taxes rise by $435. What is the marginal tax rate?
The mean square error criterion for ridge regression is \[ E\left(L_{1}^{2} ight)=\sum_{j=1}^{p} \frac{\lambda_{j}}{\left(\lambda_{j}+k ight)^{2}}+\sum_{j=1}^{p} \frac{\alpha_{j}^{2}...
Compute the overhead rate per service request for the Maintenance Department if estimated overhead costs are $18,290 and the number of estimated service request is 3,100.
Mass Load Deflection Area Shear stress Strain Shear modulus Kg N m m^2 t(Pa) rads Pa 0.1 0.981 0.00002 0.0005376 1824.777 0.0004 4561941.964 0.204 2.001 0.00005 0.0005376 3722.545 0.001 3722544.643...
Nancy Tercek started a delivery service, Tercek Deliveries, on June 1, 2015. The following transactions occurred during the month of June. June 1 Stockholders invested $10,000 cash in the business in...
For a wave propagating in a periodic structure for which (k) = 2 0 sin (k/2), determine both the phase and group velocities. Write the former as a sinc function.
Using the dispersion equation, show that the group velocity is given by for high-frequency electromagnetic waves (e.g., X-rays). Keep in mind that since Æ j are the weighting factors,...
A current of 3.6 A flows through an automobile headlight. How many coulombs of charge flow through the headlight in 3.0 h?
practice problem accompanying it discuss Differential Cost Analysis. Read through these examples and understand (without concentrating on the math) what these examples are telling us. What is the...
1. Briefly explain with examples what is meant by the following i. Simple random Sampling ii. Stratified sampling iii. Cluster sampling iv. Systematic sampling v. Non-probability sampling 2....
what is included in the term "audit client" when used in the SEC independence rules?
Requirement 1. Prepare a production cost report for the Mixing Department for March. Round equivalent unit of production costs to four deci per unit amounts to four decimal places. Abbreviations...
How prepare a cover letter for accounting and payroll job posting? What include that responds specifically to the key information in accounting and payroll posting?
On December 31, 20X3, Plummer Company acquired 70% (7,000 common shares) of Summer Company for $950,000. On the acquisition date, all of the identifiable assets and liabilities of Summer had fair...
A 20-cm-square vertical plate is heated to a temperature of 30oC and submerged in glycerin at 10oC. Calculate the heat lost from both sides of the plate.
Two flat glass plates are pressed together at the top edge and separated at the bottom edge by a strip of tinfoil. The air wedge is examined in yellow sodium light (589 nm) reflected normally from...
Red light of wavelength 644 nm, from a point source, passes through two parallel and narrow slits which are 1.00 mm apart. Determine the distance between the central bright fringe and the third dark...
In Problem 40.27, if the slit-to-screen distance is 200 cm, how far from the central maximum are (a) The third-order bright spot and (b) The second minimum? Problem 40.27 A double-slit experiment is...
If a set of m+1 data points (x,y) are to be represent by a least squares fit of y=c logx derive an expression for c in terms of x and y.
5 If 0 = then 4 cos(0) = sin(0) =
Determine the reactions of the given beam using slope deflection method. P = 25 kN, P2 = 25 kN, and w = 25 kN/m P1 P2 2m B 2m C 4m 21 Numerical answer in 4 decimal places and positive values only: RA...

An ionized gas or plasma is a dispersive medium for EM waves. Given that the dispersion equation

Question:

o² = w, + c²k? @p

Step by Step Answer:

u k therefo...View the full answer

Optics

Students also viewed these Sciences questions