Question: Problem 3 (20 pts) Suppose a plane wave is incident on the smooth dielectric halfspace at an angle de = pi/3. The dielectric constant of

Problem 3 (20 pts) Suppose a plane wave is incident on the smooth dielectric halfspace at an angle de = pi/3. The dielectric constant of the air is cair = 60, where co is the vacuum dielectric constant. The relative dielectric constant of the halfspace is er = 360. The conductivity is neglected. Please answer the following questions. (4 pts)(a) Compute the angle of the reflected and transmitted wave using Snell's law. (6 pts) (b) Compute the reflection and transmission coefficients for both TE and TM waves. (6 pts) (c) Now, suppose that we have a rough surface where Kirchhoff The- ory can be applied. First, explain the underlying assumption for applying the Kirchhoff Theory. Then, compute the reflection coefficients for both TE and TM waves, given that the height distribution is Gaussian with standard devia- tion oh = 3. (4 pts)(d) Following (c), find the reflection coefficients for TE and TM waves when considering the grazing incidence (Hint: be careful about the angle defi- nition)

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Physics Questions!

6.4. Figure 6.12 shows some data on the number of coal-mining disasters per year between 1851 and 1962, available from the website for this book. These data originally appeared in [434] and were...

MAE C186/286C Applied Optics Spring 2024 Homework 2 Due date: 04/29/2023 Problem 1: You are provided a figure showing the complex dielectric constant of gold for light with photon energy between 1 ev...

Briefly describe ASCII and Unicode and draw attention to any relationship between them. [3 marks] (b) Briefly explain what a Reader is in the context of reading characters from data. [3 marks] A...

Problem 1 (30 pts) Xn' + (Xn-2) - In Suppose {Xn}, n = 0, 1,2, ... is a symmetric random walk, 2 xx - 4 xx+4 - Th -1 ) " + ('n - 1 - 1 1/2 PXn+1 = Xn + 1|In] =?' P Xn+1 = Xn - 1| Fn] = (19 - 2Xn+ 2...

Problem 1: (15 pts) The proprietor of a clothing store in New York wants to study the average age of his customers. A random sample of 25 customers revealed an average age of 35 years with a standard...

iii. (4 pts) Compute the test statistic. iv. (2 pts) At a = 0.05 level of significance, test whether the true proportion of passengers who prefer aisle seats is significantly greater than 25%....

Suppose you are told to create a new soda bottle design for Coke a Cola. Identify five (5) heuristics that could be helpful to solving this problem, and explain how you might implement them. 2. (5...

Solve the following linear algebra question in the image below: Problem 3 [20 pts] Suppose you have n vectors V1, V2, .. ,V.n that form a basis for space R\". Any vector V in this space will have a...

Problem 3 (20 pts) Suppose there are many equal-size firms in an industry, ranging from the safest to the most risky firm. However, for computational ease assume there are only two equal size firms....

UNIVERSITY OF THE PHILIPPINES DILIMAN SCHOOL OF STATISTICS Statistics 101: Elementary Statistics Problem 1. (20 pts total) I. Using your own words, answer the following questions as if you are...

Each of the following statements is true. Use an example to explain why they are consistent. a. When a company introduces a new product, or expands production of an existing product, investment in...

Forester Fashions is considering the purchase of computerized clothes-designing software. The software is expected to cost $320,000, have a useful life of 5 years, and have no salvage value at the...

The participant is the driving force in developing the Service Plan. There's only one correct answer. True False

During the month the company purchased inventory on account for $3,000. Sales (all on account) during the period totaled $10,000. The items sold had a cost of $4,500. Cash collections on account...

The company uses a perpetual inventory system and made the following summary journal entries for the month. 1. If the inventory balance at the beginning of the month was $10,000, what is the...

What is 2014 equity in net income of Salem, reported on Portland's books using the complete equity method? a. $ 400,000 b. $ 900,000 c. $1,200,000 d. $2,500,000 Use the following information to...

Spotted Singer sells karaoke machines to businesses and consumers via the Internet. On January 1, 2019, Spotted Singer Inc. has an Accounts Receivable balance of $997,000 and a credit balance in its...

At the end of its fiscal year, December 31, 2014, Javan Limited issued 200,000 stock appreciation rights to its officers that entitled them to receive cash for the difference between the fair value...

Question 2 A series of alternative block layouts are generated for a manufacturing firm, where each block is 10 X 10' in dimensions. 11 AL a. Calculate the three shape factors for each of the...

OUTCOME 1 Explain the political, economic, sociocultural, and technological factors in different countries that HR managers need to consider.

OUTCOME 4 Differentiate the forms of bargaining power that a union and an employer may utilize to enforce their bargaining demands.

3. Graduate students in many Canadian universities are members of unions, such as CUPE Local 3903. These students help conduct tutorials, grade student examinations, etc. Do you think university...