Reference no: EM131229012
UPML implementation. Write a code to implement the UPML in a 2D TE FDTD simulation, using the same parameters as Problem 9.3 above.
(a) Excite the simulation at a frequency of 600 MHz, and compare the propagating waves along the x and y axes as in Figure 9.5. How do the reflections here compare to those in the split-field method? How do the simulation times compare?
(b) Excite a sinusoidal wave with f0 = 100 MHz. The PML is now in the near field of the source; How well does the PML perform?
Problem 9.3
Comparing the PML grading. Write a 2D FDTD simulation with the split- field PML, similar to the example in Section 9.2.3. Use the same parameters as the example, i.e., ?x = ?y = 5 cm in a space of 6 × 3 m. Excite a sinusoidal source at the center of the space with f0 = 600 MHz, and grade the PML with a polynomial of order 4 and R(0) = 10-6. Measure the reflections by comparing the field amplitude at a particular snapshot in time at a location just inside the PML.
(a) Modify the parameters of the polynomial grading, in particular the order m, between 3 and 4 (it need not be an integer). How does this affect the reflections? What m gives the lowest reflections?
(b) Now implement the PML with a geometric grading, choosing appropriate parameters g and σx,0 according to Equations (9.35). Compare the results to the polynomial grading. Experiment with the effect of the parameter g on the PML performance.
Determine the arithmetic average tracking error return
: Determine (i.) the arithmetic average tracking error return, (ii.) whether the strategy outperformed the benchmark based on this average, (iii.) the number of years it outperformed the benchmark.
|
Private enterprises provide various goods and services
: In a certain country, private enterprises provide various goods and services. But the government provides free public transportation and electricity to its citizens. Which type of economy exists in this country?
|
Any effect on supply or demand
: When the government establishes a price ceiling does that have any effect on supply or demand? Is the problem a shortage of doctors and other healthcare services? Could we expect to see lower prices if our public policies served to create more provid..
|
Effect of employer-provided health insurance
: Demonstrate on the graph the effect of employer-provided health insurance having preferential tax treatment on the demand for health insurance
|
How does this affect the reflections
: Modify the parameters of the polynomial grading, in particular the order m, between 3 and 4 (it need not be an integer). How does this affect the reflections? What m gives the lowest reflections?
|
Explain the statement using appropriate diagrams
: "Strong prices traditionally cause expansion in a competitive industry, eventually bringing an end to high prices and manufacturers' prosperity." Explain the statement using appropriate diagrams. How to draw the diagram?
|
What is your conclusion closing argument
: Before drafting your initial post, take time to reflect on your closing argument. Does your conclusion reemphasize the important points that you have made in your essay? Have you summarized your main points and rephrased your thesis statement? Do ..
|
Show that the demand function
: Suppose a consumer's demand for a product is given by Qd = 0.2 I / P. Show that the demand function is homogeneous in income (I) and the good's price (P).
|
Three people in sandspit karachi
: Suppose there are three people in Sandspit Karachi; Ali, Taha and Sarmad. The only good that their society has is Palla fish. Suppose their utility functions are given below and depend on Xp the quantity of clams they consume:
|