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antenna modeling in this problem we will use the 3d code from the previous problem to model two types of antennas for
numerical dispersion in the frequency domain use your code from problem 56 to propagate a gaussian pulse along the 1d
2d cylindrical coordinates create a 2d cylindrical simulation choosing appropriate parameters r z and t to model the
3d circular waveguide in cylindrical coordinates create a simulation space for a circular waveguide in 3d cylindrical
optical fiber modify the code from the previous problem so that the waveguide consists of a dielectric with n 2 with
stability of the runge-kutta methods derive the stability criteria for the second order and fourth-order runge kutta
stability of the coupled leapfrog algorithm investigate the stability of the leapfrog algorithm equations 526 in a
stability of the discretized wave equation analyze the stability of the algorithm presented in problem 34 using the von
a thin slot create a 2d tm mode simulation that is 100 times 200 grid cells designed for a frequency of 300 mhz place a
mur boundaries in corner regions the second-order mur boundary in equations 822 and 823 will not work in the corners of
thin slot revisited repeat problem 710 but include a second-order mur boundary on each of the walls compare the fields
frequency response of upml and cpml implement the upml and cpml separately in the simple square 2d simulation of
a dng material metamaterials are materials made up of periodic structures whose macroscopic behavior can be controlled
question 1 consider the signalx0 -a 0 lt tnbsplenbsp t2nbspnbspnbspnbspnbspnbspnbspnbspnbsp a2 t2 lt t le ta
upml in cylindrical coordinates derive an equivalent of the upml in 2d cylindrical coordinates for the rmax boundary
upml implementation write a code to implement the upml in a 2d te fdtd simulation using the same parameters as problem
cpml implementation modify the luneberg lens simulation in problem 812 to use the convolutional pml on the boundaries
scattering pattern in 3d model a spherical pec scatterer in a 3d cartesian simulation using upml or cpml boundaries and
a lorentz medium with finite conductivity derive the electric field update equation analagous to equation 1014 for a
combined drude lorentz medium a large number of metals including nickel silver and platinum 5 are modeled with a
comparing the pml grading write a 2d fdtd simulation with the split- field pml similar to the example in section 923
the luneberg lens the simulation shown on the cover of this book is known as a luneburg lens the lens is defined by a
dielectric scatterer repeat problem 126 above but make the cylinder a dielectric material with r 3 use the average
speed and performance of the ade method repeat problem 108 using the ade method is the same result achieved how do the
uniaxial crystal in 2d write a 2d tm mode fdtd simulation in the x-y plane for a uniaxial crystal with no 15 and ne