Reference no: EM131229033
Frequency response of UPML and CPML. Implement the UPML and CPML separately in the simple square 2D simulation of Problem 4.5. Excite the simulations with the derivative of a Gaussian source five time steps wide. Measure the reflection coefficient as a function of frequency at locations on the PML boundary corresponding to incident angles of 0, 15, 30, and 45 degrees. Compare the UPML and CPML reflections. Which PML performs better at low frequencies, and why?
Problem 4.5
D rectangular resonator. Write a 3D FDTD algorithm using Equations (4.18) and (4.19) in a 100 × 50 × 20 m box with perfectly conducting walls. Use
(a) Excite this resonator with a sinusoidal z line source at the bottom center of the space with a frequency of 1.5 MHz. Make this source 10 grid cells long in z. Plot the magnitude of the field in the plane perpendicular to the source excitation, and in a plane parallel to the excitation. What do you notice about the field evolution with time?
(b) Repeat part (a), but at frequencies of 3 MHz and 10 MHz. Compare to part (a).
(c) This time, excite the box with the derivative of a Gaussian source that has a pulsewidth τ equal to five time steps. Add the source to the update equations as a current source so that it does not interfere with reflected waves. Find the resonance frequencies for this resonator and compare to the theoretical resonances, which for the TEmnp and TMmnp modes are given by [3]:
for a resonator with dimensions a, b, and d.
|
How much in total dividends per share will be paid
: How much in total dividends per share will be paid under each plan over five years? Which plan will provide the higher present value for the future dividends?
|
|
High entry rates-tend to also have high exit rates
: Dunne, Roberts, and Samuelson found that industries which have high entry rates, tend to also have high exit rates. Can you explain this finding?
|
|
Should the ceo be concerned
: The owners of the building that was damaged, the local resident who was injured and the owner of the car are all threatening to sue Building Pty Ltd in negligence. Should the CEO be concerned? Explain your reasoning
|
|
Propane grill equipped with standard-sized propane tank
: Big Jim Company sponsored a picnic for employees and purchased a propane grill equipped with a standard-sized propane tank for the picnic. To make sure there was enough propane for all the cooking that was to be done at the picnic, the employer also ..
|
|
Which pml performs better at low frequencies and why
: D rectangular resonator. Write a 3D FDTD algorithm using Equations (4.18) and (4.19) in a 100 × 50 × 20 m box with perfectly conducting walls.
|
|
Largest airports in the united kingdom
: BAA is a private company that operates some of the largest airports in the United Kingdom, including Heathrow and Gatwick. Suppose that BAA recently commissioned your consulting team to prepare a report on traffic congestion at Heathrow. Your repo..
|
|
Which is a treatable disease that comes from a waxy
: Blood vessel inflammation . But, many have this disease due to Smoking and the intake in fat and cholesterol. There are very rare signs and symptoms of this disease that's why it is called the silent killer but to treat it you can start with an he..
|
|
During an uncharacteristically heavy snow
: Oil Service Company has an office in a remote area in North Dakota. During an uncharacteristically heavy snow, three employees in the office of Oil Service Company called the manager of Oil Service Company to say that they did not think that they cou..
|
|
Derive the ade method for a dng material
: Model a slab of Drude material in 2D with dispersive permittivity only per wavelength and make the slab 100 grid cells thick. Launch a sinusoidal wave at the slab with a wavelength of 1 cm ( f = 30 GHz) and observe the wave phase behavior in the ..
|