In [1]:

    

using Plots;
gadfly();


    

In [2]:

    

include("../fdtd/update.jl");
include("../fdtd/sources.jl");
include("../fdtd/boundaries.jl");
using update;
using sources;


    

    




WARNING: replacing module globals

In [3]:

    

#Global parameters
size = 1000;
endTime = 10000;
num_snaps = 200;
snap_step = div(endTime, num_snaps);

# Incident
inc_pos = 200;

# Material
n1 = 1;
n3 = 4;
n2 = sqrt(n3*n1);

eps1 = n1^2;
eps2 = n2^2;
eps3 = n3^2;

wavelength = 800
q_wavelength = div(wavelength / n2, 4)
#Grid

# Magnetic
hy = zeros(size-1);
hy_0 = zeros(size-1);
mu = ones(size-1);

chyh = ones(size);
chye = ones(size);


# Electric
ez = zeros(size);
ez_0 = zeros(size);
eps = ones(size) * eps1;
eps_0 = ones(size) * eps1;

cezh = ones(size);
ceze = ones(size);


#for i in 110:170
#    eps[i] = eps1;
#end
for i in div(size, 2):div(size, 2)+(q_wavelength)
    eps[i] = eps2;
end
for i in div(size, 2)+(q_wavelength):size
    eps[i] = eps3;
end


rightBound = boundaries.setup_first_order_abc(eps, mu, size, true)
leftBound = boundaries.setup_first_order_abc(eps, mu, 1, false)

rightBound_0 = boundaries.setup_first_order_abc(eps_0, mu, size, true)
leftBound_0 = boundaries.setup_first_order_abc(eps_0, mu, 1, false)

# output params
ez_snapshot = Array{Any}(num_snaps);
hy_snapshot = Array{Any}(num_snaps);
ez_0_snapshot = Array{Any}(num_snaps);
hy_0_snapshot = Array{Any}(num_snaps);


    

    




WARNING: Indexing with non-Integer Reals is deprecated.  It may be that your index arose from an integer division of the form i/j, in which case you should consider using i÷j or div(i,j) instead.
 in depwarn at deprecated.jl:73
 in to_index at deprecated.jl:447
 in setindex! at array.jl:313
 [inlined code] from In[3]:46
 in anonymous at no file:0
 in include_string at loading.jl:282
 in execute_request_0x535c5df2 at /home/pdmitriev/.julia/v0.4/IJulia/src/execute_request.jl:182
 in eventloop at /home/pdmitriev/.julia/v0.4/IJulia/src/IJulia.jl:142
 in anonymous at task.jl:447
while loading In[3], in expression starting on line 45
WARNING: Indexing with non-Integer Reals is deprecated.  It may be that your index arose from an integer division of the form i/j, in which case you should consider using i÷j or div(i,j) instead.
 in depwarn at deprecated.jl:73
 in to_index at deprecated.jl:447
 in setindex! at array.jl:313
 [inlined code] from In[3]:49
 in anonymous at no file:0
 in include_string at loading.jl:282
 in execute_request_0x535c5df2 at /home/pdmitriev/.julia/v0.4/IJulia/src/execute_request.jl:182
 in eventloop at /home/pdmitriev/.julia/v0.4/IJulia/src/IJulia.jl:142
 in anonymous at task.jl:447
while loading In[3], in expression starting on line 48

In [4]:

    

# Time steps

for time in 1:endTime
    # Incident
    ez_inc = sin(2*pi/(wavelength) * (time-1))*exp(-1000/time)
    
    #
    # Magnetic
    #
        
    # Interior update
    update.update_magnetic_field!(ez, hy, mu, chyh, chye);    
    update.update_magnetic_field!(ez_0, hy_0, mu, chyh, chye);          
    #
    # Electric
    #
       
    # Interior update
    update.update_electric_field!(ez, hy, eps, cezh, ceze);
    update.update_electric_field!(ez_0, hy_0, eps_0, cezh, ceze);    
    
    # ABC
    boundaries.first_order_diff_abc!(ez, leftBound)
    boundaries.first_order_diff_abc!(ez, rightBound)

    boundaries.first_order_diff_abc!(ez_0, leftBound_0)
    boundaries.first_order_diff_abc!(ez_0, rightBound_0)

    
    # Incident
    ez[inc_pos] += ez_inc / sqrt( eps[inc_pos] * mu[inc_pos])
    ez_0[inc_pos] += ez_inc / sqrt( eps[inc_pos] * mu[inc_pos])
 
    # Snapshots for animation
    if mod(time, snap_step) == 0
        ez_snapshot[div(time,snap_step)] = (time, copy(ez))
        hy_snapshot[div(time,snap_step)] = (time, copy(hy).*globals.imp0)        
        ez_0_snapshot[div(time,snap_step)] = (time, copy(ez_0))
        hy_0_snapshot[div(time,snap_step)] = (time, copy(hy_0).*globals.imp0)                
    end
    
end


    

In [5]:

    

anim = Animation()

for i = 1:num_snaps
    p = plot(1:size, ez_snapshot[i][2], lab="Ez")
    plot!(1:size, ez_0_snapshot[i][2], lab="Ez_0")
    # plot!(1:size-1, hy_snapshot[i][2], lab="Hy*imp0")
    
    time = ez_snapshot[i][1]
    plot!(ann=[(0.8*size, 1.5, "time =$time")])

    plot!([size/2, size/2], [-2, 2])
    plot!([size/2+q_wavelength, size/2+q_wavelength], [-2, 2])
       
    plot!(xlims=(1, size), ylims=(-2, 2))
    frame(anim, p)
end
gif(anim, "./Task3/Quarter_Wavelength_Reflection.gif", fps=15)


    

    




[Plots.jl] Initializing backend: gadfly






    




INFO: Saved animation to /home/pdmitriev/Documents/Github/1d-fdtd/tasks/Task3/Quarter_Wavelength_Reflection.gif






    
Out[5]:

In [6]:

    

plot( (ez-ez_0)[1:div(size, 2)])


    

    














    
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