Show that the group dispersion parameter, d 2 Icirc sup2 d Iuml 2 , for a given mode in a parallel plate or rectangular waveguide is given by where Iuml c is the radian cutoff frequency for the mode in question note that the first derivative form was already found, resulting in Eq (57) Eq (57) dB W...

Show that the group dispersion parameter, d 2 Î²/dÏ 2 , for a given mode in a

Question:

Show that the group dispersion parameter, d²Î²/dÏ‰², for a given mode in a parallel-plate or rectangular waveguide is given by

$d²B We\27-3/2 do?$

where Ï‰_c is the radian cutoff frequency for the mode in question [note that the first derivative form was already found, resulting in Eq. (57)].

Eq. (57)

Ост sin Om ---=) 1 – Vgm ||

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

Step by Step Answer:

Related Book For book-img-for-question

Engineering Electromagnetics

ISBN: 978-0073380667

8th edition

Authors: William H. Hayt, John A.Buck

See More Books

Question Posted: Sep 24, 2018 01:57 PM

See More Questions

Consider a transform-limited pulse of center frequency f = 10 GHz, and of full-width 2T = 1.0 ns. The pulse propagates in a lossless single-mode rectangular guide which is air-filled and in which the...
Show that the group velocity can be written as dn Og ? d
Show that the group velocity can be written as dv = v - di Og
Develop a data type Quote that implements the following API for quotations: To do so, define a nested class Card that holds one word of the quotation and a link to the next word in the quotation:...
The chief executive of Bankstown Airport is considering approaching the Federal Airport Authority to request permission to construct a new longer runway at the airport. Currently, the airport can...
Triangle plc is in the process of preparing its draft financial statements for the year to 31 March 20X2. LO6 On 1 April 20X1 Triangle sold maturing inventory that had a carrying value of 3 million...
How can global sourcing help ensure a competitive advantage? LO.1
Use the information provided below to a. Compute the December 31, 2010 PBO and FMV of pension assets. b. Compute 2010 pension expense. c. Use the financial statements effects template to show the...
Runtan Inc. has just paid an annual dividend of $0.45 per share. Analysts expect the firm's dividends to grow by 8% forever. Its stock price is $37.1 and its beta is 0.4. The risk-free rate is 2% and...
Phantom Book Warehouse Ltd. distributes hardcover books to retail stores. At the end of May, Phantom's inventory consists of 250 books purchased at $18 each. Phantom uses a perpetual inventory...
Integrate the result of Problem 13.22 over the guide cross section, 0 < x < a, 0 < y < b, to show that the average power in watts transmitted down the guide is given as where Î· =...
A symmetric slab waveguide is known to support only a single pair of TE and TM modes at wavelength = 1.55m. If the slab thickness is 5 m, what is the maximum value of n 1 if n 2 = 3.30?
What are the characteristics of a well-designed dashboard?
4. (15pt) A group of students were asked if they have ever driven after drinking. They also were asked, "How many days per month do you drink at least two beers?" In the following discussion, 7 = the...
discuss how might you apply the concepts of Total Quality (TQ) to your personal and work environment. Consider your relations with others and your daily activities interactions with. Share the...
Dr. Bernstein wants to expand his radiology practice. Dr. Bernstein is researching various local banks for the best certificate of deposit rate to fund his expansion. One bank is willing to offer him...
An airplane is flying with a velocity of 240 m/s at an angle of 30.0 with the horizontal, as the drawing shows. When the altitude of the plane is 2.4 km, a flare is released from the plane. The flare...
Katsura Corporation incurred pre - operating costs: Investigatory expenses of $ 1 8 , 0 0 0 New employee training $ 2 5 , 0 0 0 Advertising $ 1 0 , 0 0 0 Land and building for use as a retail store...
Find the derivative of the algebraic function. f(x) = (x 3 x)(x 2 + 2)(x 2 + x 1)
What mass of H2 will be produced when 122 g of Zn are reacted? Zn(s) + 2HCl(aq) ( ZnCl2(aq) + H2(g)
A small toy airplane is flying in the xy-plane parallel to the ground. In the time interval to t = 0 to t = 1.00 s, its velocity as a function of time is given by v = (1.20 m/s 2 )ti + [12.0 m/s ...
Spiraling Up. It is common to see birds of prey rising upward on thermals. The paths they take may be spiral-like. You can model the spiral motion as uniform circular motion combined with a constant...
A jungle veterinarian with a blow-gun loaded with a tranquilizer dart and a sly 1.5-kg monkey are each 25 m above the ground in trees 70 m apart. Just as the hunter shoots horizontally at the monkey,...
Saly paid $52,000 a year paid on a weekly basis. last pay she had $250 withheld in Income Tax, $48.97 for CPP and $15.80 for EI. an additional $and 25.00 in tax are deducted each pay. She allowed to...
Required information [The following information applies to the questions displayed below.] Dain's Diamond Bit Drilling purchased the following assets this year. Asset Drill bits (5-year) Drill bits...
Which of the following partnership items are not included in the self-employment income calculation? Ordinary income. Section 179 expense. Guaranteed payments. Gain on the sale of partnership...

Show that the group dispersion parameter, d 2 Î²/dÏ 2 , for a given mode in a

Question:

d²B We\27-3/2 do? Ост sin Om ---=) 1 – Vgm ||

Step by Step Answer:

First taking the recipro...View the full answer

Engineering Electromagnetics

Students also viewed these Physics questions