Question: In a symmetric slab waveguide, n 1 = 1.50, n 2 = 1.45, and d = 10m. (a) What is the phase velocity of the

In a symmetric slab waveguide, n1 = 1.50, n2 = 1.45, and d = 10μm.

(a) What is the phase velocity of the m = 1 TE or TM mode at cutoff?

(b) How will your part (a) result change for higher-order modes (if at all)?

Step by Step Solution

★★★★★

3.41 Rating (157 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

a At cutoff the mode propagates in the slab at the critical angle whi... View full answer

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 Principles Communications Systems Questions!

Q:

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?

Q:

An asymmetric slab waveguide is shown in Figure 13.26. In this case, the regions above and below the slab have unequal refractive indices, where n 1 > n 3 > n 2 . (a) Write, in terms of the...

Q:

Polyethylene with r 2.25 is used as the insulating material in a lossless coaxial line with characteristic impedance of 50. The radius of the inner conductor is 1.2 mm. (a) What is the radius of the...

Q:

Problem 1. (35 points) Write a software program (e.g. Matlab) that solves a symmetric dielectric slab waveguide n other words, starting from the lecture note equations, below link X vs Vand Y vs Vin...

Q:

Consider a symmetric slab waveguide. The waveguide condition for propagating modes will have integer multiples of phase with the constraints set as follows kondcos(m) 0(0m) = 2, dcos(0m) - 0(0m) = m...

Q:

Can you please help me with these 6 questions. I am very confused and I do not understand these questions. The screenshots of these questions are down below. 1. 1. [-/1 Points] DETAILS MY NOTES...

Q:

1. [20 pts] Slab waveguide. Consider the symmetric slab waveguide with a GaAs core (n=3.5) and air cladding at the wavelength of 10 = 980 nm as shown in the following figure. n = 1 y n = 3.5 n = 1 2a...

Q:

4. (35%) You are asked to design a so-called waveguide photodetector operating at 1.55 um. The cross-sectional schematic of this detector is shown below. Cleaved facet 2n =1.55 um p*-upper cladding...

Q:

1. Consider the dielectric slab waveguide shown in the figure below. Upper cladding 2 = 1.5 m m = 2.9 Core a=1 m n = 3.4 Lower n = 2.9 cladding (a) Find the number of the modes supported by this...

Q:

For the dielectric slab waveguide given below: x n1 d/2 12 -d/2- n1 n(x) = {m \x\ d/2 and starting with Maxwell's equations in the form of: and a trial solution of: VXH = VXE = -iwH Z E(x,t) =...

Q:

To help with his child's college fund, Tony needs to invest. Assuming an interest rate of 2.28% compounded daily, how much would he have to invest to have $94,300 after 13 years? Do not round any...

Q:

At Lakeside Manufacturing, budgets are the responsibility of everyone. Each department collaborates in determining its expected needs, and sales personnel determine the likely sales volume. Al...

Q:

Given the equations 0 . 5 x 1 x 2 = 9 . 5 1 . 0 2 x 1 2 x 2 = 1 8 . 8 Solve the given equations again using the elimination of unknowns method with a 1 1 a 1 1 modified to 0 . 5 2 . Multiple Choice x...

Q:

6.4 Consider the problem of estimating the mean based on X Nr( , I ), where it is thought that i = s j=1 j t j i where (ti,...,tr) are known, (1,...,s) are unknown, and r s > 2. (a) Find the MLE of...

Q:

An athlete starts at point A and runs at a constant speed 6.0 m/s of around a circular track 100 m in diameter, as shown in Fig. P3.40. Find the x and y-components of this runners average velocity...

Q:

The position of a dragonfly that is flying parallel to the ground is given as a function of time by r = [2.90 m + (0.0900 m/s 2 )t 2 ]i (0.0150 m/s 3 )t 3 j. (a) At what value of t does the velocity...

Q:

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 ...

Q:

QUESTION 3 A company reports earnings before taxes of $10.00 per share. Assume the corporate tax rate is 35%, and the personal dividend tax rate is 15% planning to pay all after-tax earnings to...

Q:

pls help me two people have got it incorrect What It Means to Invest in Stocks? Common stock is considered to be one of the most popular investment vehicles for long - term wealth building. Investors...

Q:

Your grandparents have been putting $5000 into an account each year that earns a rate of 4%. If it has been 15 years, how much is it worth now? O $86,984.77 O $100,117.94 $125,014.35 O $75,210.36 If...