With the last two problems in mind, show that F (1 2 Iuml ) Atilde sinc (1 2 x) rect( Icirc ordm ), starting with the knowledge that F rect(x) sinc (1 2 Icirc ordm ), in other words, Eq (7 58) with L a, where a 1 A(k) E,L sinc (kL 2) (7 58)...

With the last two problems in mind, show that F{(1/2Ï) Ã sinc (1/2 x)} = rect(Îº), starting

Question:

With the last two problems in mind, show that F{(1/2Ï€) Ã— sinc (1/2 x)} = rect(Îº), starting with the knowledge that F{rect(x)} = sinc (1/2 Îº), in other words, Eq. (7.58) with L = a, where a = 1.

A(k) = E,L sinc (kL/2) (7.58)

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 16, 2019 09:42 AM

See More Questions

With the last two problems in mind, draw a plot of the three functions (a) sin (b) sin ( - 3/4) (c) sin + sin ( - 3/4). Compare the amplitude of the combined function (c) in this case with that of...
With the previous two problems in mind, imagine a selfluminous object on the central axis of a thin positive lens. The object is a distance d from the screen on which the image appears. Now suppose...
With the previous two problems in mind, compute the magnification that results when the image of a flower 4.0 m from the center of a solid, clear-plastic sphere with a 0.20-m diameter (and a...
We have all experienced workplace or personal changes that required us to adjust our daily actions at work or at home. Select one of the changes below, and explain how you have adapted to that change...
Imagine that you have been brought into a company to help them restructure. The company can be one with which you are familiar, or you can create a fictional company. address the following: Briefly...
Beta coefficients and the capital asset pricing model Personal Finance Problem Katherine Wilson is wondering how much risk she must undertake to generate an acceptable retum on her porfolio. The...
"Is there a sprinting gene?" Introduced in Example 1.5. Indicate whether the data come from an experiment or an observational study. Data From Example 1.5: Is There a Sprinting Gene? Agene called...
In this chapter, you learned about the importance of testing. Design a generic test plan that describes the testing for an imaginary system.
Evaluate log3 1 243
You are an employee working for ABC Bookkeeping Inc. This is a small business environment in Alberta, Canada, with a team of 4 people including you. The Director/Owner of the business is very hands...
The rectangular function is often defined as where it is set equal to 1/2 at the discontinuities (Fig. P.11.14). Determine the Fourier transform of Notice that this is just a rectangular pulse, like...
Utilizing Eq. (11.38), show that F -1 {F{(x)}} = Æ(x). ik(x x') k 6( ') (11.38) 2
Use the square-root property to solve each equation. (A) x 2 6 = 0 (B) 3x 2 12 = 0 (C) x 2 + 4 = 0 (D) (x + 5) 2 = 1
How has remote work changed over the past few years? Is it better or worse than working in the office? What are its advantages and disadvantages? Please provide references.
ABC's cost of goods manufactured for June is: un zb del ferib + a. $100,000 $1+2893019 ni how to sonsled gri GM ncted snian b. $145,000 1200 besmevo grhubbstursm + ben $150,000 c. 2253010 ni $165,000...
1 . You are considering starting a radiology practice. Your financial projections for the first year of operations are as follows: Number of visits 2 4 , 0 0 0 visits Fixed Variable Wages and...
The Poster company sells a product with a per-unit contribution margin of $412. The company has fixed costs of $8,500 an like to achieve a $6,000 profit. How many units must they sell to cover fixed...
What is Treatment of Priority and "Unusual" Cross Border Claims? Explain.
If the AS curve shifts to the right, what happens (increases or decreases) to (a) The equilibrium rate of output? (b) The equilibrium price level?
Evaluate how many lines there are in a true rotational spectrum of CO molecules whose natural vibration frequency is w = 4.09 1014 s1 and moment of inertia I = 1.44 1039 g cm2.
Consider the light propagating outward from the beam splitter, along the x arm of an interferometric gravitational-wave detector, as analyzed in TT gauge, so (suppressing the subscript x arm and...
From the Kerr metric (26.70) derive Eqs. (26.84) for the surface area of a spinning black holes horizonthat is, the surface area of the 2-dimensional surface {r = r H , t = constant}. Equations....
Our study of the Schwarzschild solution of Einsteins equations in this chapter has been confined to situations where, at small radii, the Schwarzschild geometry joins onto that of a stareither a...
How do I use voice commands to control my computer with the project of making a video?
Dan Mullen is employed by a mail-order distributor and reconditions used desktop computers, broadband routers, and laser printers. Dan is paid $12 per hour, plus an extra $6 per hour for work in...
Consider two series Yt and Y2t: Y = IIY-1 +6 Or more explicitly as: Aye Aya Yit Elt + Y2t 2t in which = [1, 2]' is IID with E(e) = 0 and E(ee'): [ 0 0 a) Write the system in levels Answer: A-AU-N b)...

With the last two problems in mind, show that F{(1/2Ï) Ã sinc (1/2 x)} = rect(Îº), starting

Question:

A(k) = E,L sinc (kL/2) (7.58)

Step by Step Answer:

from Problem ...View the full answer

Optics

Students also viewed these Sciences questions