{
"metadata": {
"language": "Julia",
"name": "",
"signature": "sha256:a1d47406799d2240cd3523bad9e73bad69d2ec60eb275b8592054cb377f58fdf"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "code",
"collapsed": false,
"input": [
"using PyPlot, Interact"
],
"language": "python",
"metadata": {},
"outputs": [
{
"html": [
""
],
"metadata": {},
"output_type": "display_data"
},
{
"html": [
""
],
"metadata": {},
"output_type": "display_data"
},
{
"output_type": "stream",
"stream": "stderr",
"text": [
"\n",
"WARNING: deprecated syntax \"[a=>b, ...]\" at /Users/stevenj/.julia/Interact/src/IJulia/setup.jl:68.\n",
"Use \"Dict(a=>b, ...)\" instead.\n",
"\n",
"WARNING: deprecated syntax \"[a=>b, ...]\" at /Users/stevenj/.julia/Interact/src/IJulia/setup.jl:81.\n",
"Use \"Dict(a=>b, ...)\" instead.\n",
"\n",
"WARNING: deprecated syntax \"[a=>b, ...]\" at /Users/stevenj/.julia/Interact/src/IJulia/setup.jl:196.\n",
"Use \"Dict(a=>b, ...)\" instead.\n",
"\n",
"WARNING: deprecated syntax \"{a=>b, ...}\" at /Users/stevenj/.julia/Interact/src/IJulia/statedict.jl:5.\n",
"Use \"Dict{Any,Any}(a=>b, ...)\" instead.\n",
"\n",
"WARNING: deprecated syntax \"{a=>b, ...}\" at /Users/stevenj/.julia/Interact/src/IJulia/statedict.jl:10.\n",
"Use \"Dict{Any,Any}(a=>b, ...)\" instead.\n"
]
}
],
"prompt_number": 1
},
{
"cell_type": "heading",
"level": 1,
"metadata": {},
"source": [
"A waveguide eigenproblem"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Let's compute the guided modes of $\\nabla\\cdot c(x) \\nabla u = \\ddot u$ in 2d $xz$, where we are looking for localized separable modes $u_k(x)e^{i(kz - \\omega t)}$ in a region $0< c(x) \\le 1$ surrounded by $c=1$. This gives us the eigenequation:\n",
"$$ \\left[ -\\frac{d}{dx} c(x) \\frac{d}{dx} + k^2 c(x) \\right] u_k = \\omega(k)^2 u_k $$"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"c\u2081 = 0.5\n",
"c(x) = 1 - (1-c\u2081)*exp(-2x^2)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 2,
"text": [
"c (generic function with 1 method)"
]
}
],
"prompt_number": 2
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We will truncate our computational cell to $x \\in [-L,L]$ with Dirichlet boundary conditions. For exponentially localized modes, the boundary conditions should be irrelevant as long as $L$ is big enough."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"L = 5\n",
"N = 200\n",
"dx = 2L / (N+1)\n",
"x = -L+dx:dx:L-dx\n",
"plot(x, [c(\u03be) for \u03be in x], \"b-\")\n",
"ylim(0,1.1); ylabel(L\"c(x)\"); xlabel(L\"x\")"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
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",
"text": [
"Figure(PyObject )"
]
},
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 3,
"text": [
"PyObject "
]
}
],
"prompt_number": 3
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# construct the (M+1)xM matrix D, not including the 1/dx factor\n",
"diff1(M) = [ [1.0 zeros(1,M-1)]; diagm(ones(M-1),1) - eye(M) ]\n",
"\n",
"# grid points where derivative is evaluated\n",
"x\u2032 = -L+dx/2:dx:L-dx/2"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 4,
"text": [
"-4.975124378109452:0.04975124378109453:4.975124378109452"
]
}
],
"prompt_number": 4
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"function A(k)\n",
" D = diff1(N)/dx\n",
" return D' * diagm(Float64[c(\u03be) for \u03be in x\u2032]) * D + k^2 * diagm(Float64[c(\u03be) for \u03be in x])\n",
"end"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 5,
"text": [
"A (generic function with 1 method)"
]
}
],
"prompt_number": 5
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# return p smallest eigenfrequencies of A(k)\n",
"function \u03c9(k::Number,p)\n",
" return sqrt(eigvals(A(k))[1:p])\n",
"end\n",
"# for an array of k's, construct a matrix whose p columns are the p eigenfrequencies as a function of k\n",
"function \u03c9(k::AbstractVector,p)\n",
" v = Array(Float64, length(k), p)\n",
" for i in 1:length(k)\n",
" v[i,:] = \u03c9(k[i],p)\n",
" end\n",
" return v\n",
"end"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 6,
"text": [
"\u03c9 (generic function with 2 methods)"
]
}
],
"prompt_number": 6
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Dispersion relation and guided modes"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now, let's plot the dispersion relation $\\omega(k)$, along with the \u201clight line\u201d $\\omega = k$ in black. Below the light line are a discrete set of lines corresponding to the guided modes (localized in the small-$c$ region). Above the light line would be continuum of solutions (the extended/non-localized modes) for $L \\to \\infty$, which here is discretized because of the finite $L$."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"k = linspace(0,10,30)\n",
"plot(k, \u03c9(k,50), \"r-\")\n",
"plot(k, k, \"k-\", linewidth=2.0)\n",
"ylabel(L\"\\omega\"); xlabel(L\"k\")\n",
"ylim(0,maximum(k))"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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",
"text": [
"Figure(PyObject )"
]
},
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 7,
"text": [
"(0,10.0)"
]
}
],
"prompt_number": 7
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"In the $L \\to \\infty$ limit, the lowest-$\\omega$ guided mode (the \u201cfundamental\u201d mode) would lie below the light line for all $k > 0$, but here intersects $\\omega=k$ at a nonzero $k$ because of the finite $L$: as $k \\to 0$, we will see below that the fundamental mode becomes more and more delocalized, until it \u201csees\u201d the boundaries and is messed up by the finite $L$. In contrast, even for $L \\to \\infty$, all of the subsequent guidede modes have a low-$\\omega$ cutoff where they intersect the light line at $k > 0$.\n",
"\n",
"Let's now plot the mode profiles $u_k(x)$ for the first few modes, with a slider control (via `@manipulate` in the `Interact` package included above) so that we can vary $k$."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"f = figure()\n",
"nmodes = 4\n",
"@manipulate for k in 0:0.1:10\n",
" withfig(f) do\n",
" \u03bb,U = eig(A(k))\n",
" for j = 1:nmodes\n",
" u = U[7,j] < 0 ? -U[:,j] : U[:,j] # make sure we choose a consistent sign as k changes\n",
" plot(x,u)\n",
" xlabel(L\"x\"); ylabel(L\"u_k(x)\");\n",
" legend([\"mode $n\" for n in 1:nmodes])\n",
" end\n",
" end\n",
"end"
],
"language": "python",
"metadata": {},
"outputs": [
{
"html": [],
"metadata": {},
"output_type": "display_data",
"text": [
"Slider{Float64}([Input{Float64}] 5.0,\"k\",5.0,0.0:0.1:10.0)"
]
},
{
"output_type": "stream",
"stream": "stderr",
"text": [
"WARNING: apply(f, x) is deprecated, use `f(x...)` instead\n",
" in lift at /Users/stevenj/.julia/Reactive/src/Reactive.jl:296\n",
" in include_string at loading.jl:97\n",
" in execute_request_0x535c5df2 at /Users/stevenj/.julia/IJulia/src/execute_request.jl:140\n",
" in eventloop at /Users/stevenj/.julia/IJulia/src/IJulia.jl:123\n",
" in anonymous at task.jl:340\n"
]
},
{
"metadata": {
"comm_id": "10edb04b-402b-46de-aa25-16cc5ff1b493",
"reactive": true
},
"output_type": "pyout",
"png": 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",
"prompt_number": 10,
"text": [
"Figure(PyObject )"
]
},
{
"output_type": "stream",
"stream": "stderr",
"text": [
"WARNING: apply(f, x) is deprecated, use `f(x...)` instead\n",
" in init_comm at /Users/stevenj/.julia/Interact/src/IJulia/setup.jl:71\n",
" in metadata at /Users/stevenj/.julia/Interact/src/IJulia/setup.jl:80\n",
" in execute_request_0x535c5df2 at /Users/stevenj/.julia/IJulia/src/execute_request.jl:183\n",
" in eventloop at /Users/stevenj/.julia/IJulia/src/IJulia.jl:123\n",
" in anonymous at task.jl:340\n"
]
}
],
"prompt_number": 10
},
{
"cell_type": "heading",
"level": 1,
"metadata": {},
"source": [
"Another wave equation"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now, for fun, let's try another wave equation $c^2\\nabla^2 u = \\ddot{u}$, again in 2d with an $x$-dependent $c(x)$, leading to the reduced eigenproblem:\n",
"$$ \\left[ -\\frac{d^2}{dx}^2 + k^2 \\right] u_k = \\omega^2 c^{-2} u_k ,$$\n",
"where for computational convenience we have written it in the form of a *generalized* eigenproblem $\\hat{A}_k u_k = \\omega^2 \\hat{B} u_k$, with an operator $\\hat{B} = c^{-2}$ on the right-hand side. When we discretize it, this will lead naturally to a generalized Hermitian eigenproblem $Ax = \\lambda Bx$ with symmetric-definite matrices $A$ and $B$.\n",
"\n",
"In this case, we will again use an $x \\in [-L,L]$ truncated computational cell, but this time we will choose a piecewise-constant $c(x) = c_1 < 1$ for $|x| < h/2$ and $c(x) = c_0 = 1$ otherwise."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"function AB(k, h, c\u2081, L, N)\n",
" dx = 2L / (N+1)\n",
" x = -L+dx:dx:L-dx\n",
" c = Float64[ abs(\u03be) < 0.5*h ? c\u2081 : 1 for \u03be in x]\n",
" D = diff1(N)/dx\n",
" A = D'*D + k^2 * I\n",
" B = diagm(c.^(-2))\n",
" return (A,B)\n",
"end"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 28,
"text": [
"AB (generic function with 2 methods)"
]
}
],
"prompt_number": 28
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"figure(figsize=(12,6))\n",
"subplot(1,2,1)\n",
"k = linspace(0,10,60)\n",
"plot(k, vcat([sqrt(eigvals(AB(\u03ba,1,0.5,20,1000)...)[1:20])' for \u03ba in k]...), \"r-\")\n",
"fill_between(k, k, ones(k)*maximum(k), zorder=10, color=\"gray\")\n",
"title(L\"\\omega(k)\"); xlabel(L\"k\")\n",
"ylim(0,maximum(k))\n",
"\u03bb, U = eig(AB(6,1,0.5,20,1000)...)\n",
"for j = 1:3\n",
" plot([6], [sqrt(\u03bb[j])], \"o\")\n",
"end\n",
"subplot(1,2,2)\n",
"\u0394x = 2*20 / (1000+1)\n",
"xs = -20+\u0394x:\u0394x:20-\u0394x\n",
"for j = 1:3\n",
" u = U[490,j] < 0 ? -U[:,j] : U[:,j]\n",
" plot(xs, u)\n",
"end\n",
"plot([-0.5,-0.5],[-0.15,0.15],\"k--\")\n",
"plot([+0.5,+0.5],[-0.15,0.15],\"k--\")\n",
"xlabel(L\"x\"); title(L\"u_k(x)\")\n",
"xlim(-2,2); ylim(-0.15,0.15)\n",
"savefig(\"waveguide-modes-plot.pdf\")"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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",
"text": [
"Figure(PyObject )"
]
}
],
"prompt_number": 66
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": []
}
],
"metadata": {}
}
]
}