/
SAS_max_propagation.jl
1062 lines (866 loc) · 35.5 KB
/
SAS_max_propagation.jl
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### A Pluto.jl notebook ###
# v0.19.23
using Markdown
using InteractiveUtils
# ╔═╡ 4f0ea44a-5475-11ed-3979-6d7d4c1a8ce1
using Plots,PlutoUI
# ╔═╡ 2bd51f20-7abb-4d95-a56b-c2e058c2a1be
md"# Scaled Angular Spectrum Maximum Propagation Distance
This notebook estimates the maximal propagation distance of the Scaled Angular Spectrum (SAS) method.
"
# ╔═╡ 15975d27-b575-4e76-94a7-02b8f218acb1
md"## Load Packages"
# ╔═╡ 83d8201f-6c96-4849-871b-99409abfc5f8
TableOfContents()
# ╔═╡ d0e12818-286b-475d-b76b-da777073e72a
md"## Define Propagation Ranges"
# ╔═╡ 6ed1ba5e-c7f2-49c3-847c-f5a1d3f5d9d9
begin
Rs = 0.5001:0.001:15.0
Rsf = 0.01:0.01:15.0
zeroax = 0.0001 .*Rsf
maxax = 1e10 .*Rsf
end
# ╔═╡ 27244271-bac7-45c1-926f-aaf93826ede3
md"## Equation defining the propagation range"
# ╔═╡ fb6db56c-a5cc-45bc-b83a-ae9f46bc8784
z_L(R)=4/(1/R-2*sqrt(2)/sqrt(1+8*R^2)) # z_L is really z/L
# ╔═╡ d8ea0db6-cbe9-4415-b4ef-bfcb590a00f6
md"## Define a function for adding a second x-axis"
# ╔═╡ e05c6882-81f9-4784-ab7e-7a9a8d296b6d
function other_x!(plt, myxlims=(0.0, 10.0), func=(x)->1/(2x), ifunc=(y)->1/(2y), xtick=[0.01,0.05,0.1,0.2,0.3,1.0]; numdigits=2, name = "NAₚᵢₓₑₗ")
xlims!(plt, myxlims)
DX = myxlims[2]-myxlims[1]
tick_pos = (ifunc.(xtick).-myxlims[1])./DX
newpos = (x)->func(myxlims[1]+x*DX)
# formatter is given a linear relative x-position and computes the label string
myformatter = x->string(round(Int, 10^numdigits*newpos(x))/10^numdigits)
plot!(plt, twiny(), xtick=tick_pos, xaxis=(formatter=myformatter),xlabel=name)
end
# ╔═╡ 7ae68d67-531f-4eb9-abc7-50d9acaeb5f7
md"# Plot the range"
# ╔═╡ c3774fe9-6823-48ef-afb9-ae8145db7b6a
begin
plt = plot(Rsf,z_L.(Rsf), fillrange=zeroax, fillalpha=0.2, xlabel="pixel pitch / λ", yaxis=:log, ylabel="distance / L", label="SAS Vignetting Limit",legend=:bottomright, color=:green, ylims=(0.01,1e6))
# add a vertical line at 0.5
vline!([0.5], xticks=[0.5,(2:2:14)...],seriestype = :vline, label="λ/2 pixel pitch", color=:blue)
end
# ╔═╡ 40d90094-6657-4f5d-aef5-f70562135823
md"Some problem for the `mask_box`!"
# ╔═╡ 8df3f230-ce9c-4956-9382-81b9512cc820
other_x!(plt,(0,14))
# ╔═╡ 00000000-0000-0000-0000-000000000001
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