Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved Answer

The electric field of a uniform plane wave travelling along the negative z direction is given by: and is incident upon a receiving antenna placed

The electric field of a uniform plane wave travelling along the negative z direction is given by:

E_{i}^{w}=(hat{x}+jhat{y})E_{o}e^{+jkz}=sqrt{2}hat{p}_{wave}E_{o}e^{+jkz}

and is incident upon a receiving antenna placed at the orgin and whose radiated electric field, toward the incident wave, is given by

E_{a}=(hat{x}+3jhat{y})E_{1}(rac{e^{-jkz}}{r})=sqrt{10}hat{p}_{Rx,and}E_{1}(rac{e^{-jkz}}{r})

Determine the following:

(a) poarization of the incident wave, and why?

(b) If circular or elliptical, sense of rotation of the incident wave.

(c) Losses (dimensionless and in dB) due to polarizzation mismatch between the incident wave and the antenna, viz. compute left | hat{p}_{wave}*(hat{p}_{Rx,ant})^{*} 
ight |. Note that dB value is evaluated using A_{dB}=20logA, where A is associated with the fields (not power).

E = j) (+ j) Eejk: = 2pwave Eoe+jkz e-jk: Ea (2+3j) E (- = T e-jk: -)=10pRr,and E1 ( T Pwave* (PRT,ant)*. AdB= 20logA

Step by Step Solution

3.36 Rating (162 Votes )

There are 3 Steps involved in it

Step: 1

1 Circular polarization Reason Electric fields x an... blur-text-image

Get Instant Access to Expert-Tailored Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

Step: 2

blur-text-image

Step: 3

blur-text-image

Document Format ( 2 attachments)

PDF file Icon
6096cd214a3ed_27205.pdf

180 KBs PDF File

Word file Icon
6096cd214a3ed_27205.docx

120 KBs Word File

Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started

Recommended Textbook for

Fundamentals of Applied Electromagnetics

Authors: Fawwaz T. Ulaby, Eric Michielssen, Umberto Ravaioli

6th edition

132139316, 978-0132139311

More Books

Students also viewed these Mathematics questions