wave_mixing.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "source": [
    "# Three Wave Mixing vs four wave mixing"
   ],
   "metadata": {}
  },
  {
   "cell_type": "markdown",
   "source": [
    "## Packages\n",
    "\n",
    "We load the following packages into our environment:"
   ],
   "metadata": {}
  },
  {
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "10"
     },
     "metadata": {},
     "execution_count": 1
    }
   ],
   "cell_type": "code",
   "source": [
    "using HarmonicBalance, Plots\n",
    "using Plots.Measures\n",
    "using Random\n",
    "\n",
    "Random.seed!(1234);\n",
    "Threads.nthreads() # check number of threads"
   ],
   "metadata": {},
   "execution_count": 1
  },
  {
   "cell_type": "markdown",
   "source": [
    "## system"
   ],
   "metadata": {}
  },
  {
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "A set of 6 harmonic equations\nVariables: u1(T), v1(T), u2(T), v2(T), u3(T), v3(T)\nParameters: ω, α, γ, ω0, β, F\n\nHarmonic ansatz: \nx(t) = u1(T)*cos(ωt) + v1(T)*sin(ωt) + u2(T)*cos(2ωt) + v2(T)*sin(2ωt) + u3(T)*cos(3ωt) + v3(T)*sin(3ωt)\n\nHarmonic equations:\n\n(2//1)*Differential(T)(v1(T))*ω + Differential(T)(u1(T))*γ + u1(T)*u2(T)*β - u1(T)*(ω^2) + u1(T)*(ω0^2) + v3(T)*v2(T)*β + v2(T)*v1(T)*β + v1(T)*γ*ω + u3(T)*u2(T)*β + (3//4)*(u1(T)^3)*α + (3//4)*(u1(T)^2)*u3(T)*α + (3//2)*u1(T)*(v3(T)^2)*α + (3//2)*u1(T)*v3(T)*v1(T)*α + (3//2)*u1(T)*(v2(T)^2)*α + (3//4)*u1(T)*(v1(T)^2)*α + (3//2)*u1(T)*(u3(T)^2)*α + (3//2)*u1(T)*(u2(T)^2)*α + (3//2)*v3(T)*v2(T)*u2(T)*α - (3//4)*(v2(T)^2)*u3(T)*α - (3//4)*(v1(T)^2)*u3(T)*α + (3//4)*u3(T)*(u2(T)^2)*α ~ F\n\nDifferential(T)(v1(T))*γ - (2//1)*Differential(T)(u1(T))*ω + u1(T)*v2(T)*β - u1(T)*γ*ω + v3(T)*u2(T)*β - v2(T)*u3(T)*β - v1(T)*u2(T)*β - v1(T)*(ω^2) + v1(T)*(ω0^2) + (3//4)*(u1(T)^2)*v3(T)*α + (3//4)*(u1(T)^2)*v1(T)*α - (3//2)*u1(T)*v1(T)*u3(T)*α + (3//2)*(v3(T)^2)*v1(T)*α + (3//4)*v3(T)*(v2(T)^2)*α - (3//4)*v3(T)*(v1(T)^2)*α - (3//4)*v3(T)*(u2(T)^2)*α + (3//2)*(v2(T)^2)*v1(T)*α + (3//2)*v2(T)*u3(T)*u2(T)*α + (3//4)*(v1(T)^3)*α + (3//2)*v1(T)*(u3(T)^2)*α + (3//2)*v1(T)*(u2(T)^2)*α ~ 0//1\n\nDifferential(T)(u2(T))*γ + (4//1)*Differential(T)(v2(T))*ω + (1//2)*(u1(T)^2)*β + u1(T)*u3(T)*β + v3(T)*v1(T)*β + (2//1)*v2(T)*γ*ω - (1//2)*(v1(T)^2)*β - (4//1)*u2(T)*(ω^2) + u2(T)*(ω0^2) + (3//2)*(u1(T)^2)*u2(T)*α + (3//2)*u1(T)*v3(T)*v2(T)*α + (3//2)*u1(T)*u3(T)*u2(T)*α + (3//2)*(v3(T)^2)*u2(T)*α - (3//2)*v3(T)*v1(T)*u2(T)*α + (3//4)*(v2(T)^2)*u2(T)*α + (3//2)*v2(T)*v1(T)*u3(T)*α + (3//2)*(v1(T)^2)*u2(T)*α + (3//2)*(u3(T)^2)*u2(T)*α + (3//4)*(u2(T)^3)*α ~ 0//1\n\n-(4//1)*Differential(T)(u2(T))*ω + Differential(T)(v2(T))*γ + u1(T)*v3(T)*β + u1(T)*v1(T)*β - (4//1)*v2(T)*(ω^2) + v2(T)*(ω0^2) - v1(T)*u3(T)*β - (2//1)*u2(T)*γ*ω + (3//2)*(u1(T)^2)*v2(T)*α + (3//2)*u1(T)*v3(T)*u2(T)*α - (3//2)*u1(T)*v2(T)*u3(T)*α + (3//2)*(v3(T)^2)*v2(T)*α + (3//2)*v3(T)*v2(T)*v1(T)*α + (3//4)*(v2(T)^3)*α + (3//2)*v2(T)*(v1(T)^2)*α + (3//2)*v2(T)*(u3(T)^2)*α + (3//4)*v2(T)*(u2(T)^2)*α + (3//2)*v1(T)*u3(T)*u2(T)*α ~ 0//1\n\nDifferential(T)(u3(T))*γ + (6//1)*Differential(T)(v3(T))*ω + u1(T)*u2(T)*β + (3//1)*v3(T)*γ*ω - v2(T)*v1(T)*β - (9//1)*u3(T)*(ω^2) + u3(T)*(ω0^2) + (1//4)*(u1(T)^3)*α + (3//2)*(u1(T)^2)*u3(T)*α - (3//4)*u1(T)*(v2(T)^2)*α - (3//4)*u1(T)*(v1(T)^2)*α + (3//4)*u1(T)*(u2(T)^2)*α + (3//4)*(v3(T)^2)*u3(T)*α + (3//2)*(v2(T)^2)*u3(T)*α + (3//2)*v2(T)*v1(T)*u2(T)*α + (3//2)*(v1(T)^2)*u3(T)*α + (3//4)*(u3(T)^3)*α + (3//2)*u3(T)*(u2(T)^2)*α ~ 0//1\n\n-(6//1)*Differential(T)(u3(T))*ω + Differential(T)(v3(T))*γ + u1(T)*v2(T)*β - (9//1)*v3(T)*(ω^2) + v3(T)*(ω0^2) + v1(T)*u2(T)*β - (3//1)*u3(T)*γ*ω + (3//2)*(u1(T)^2)*v3(T)*α + (3//4)*(u1(T)^2)*v1(T)*α + (3//2)*u1(T)*v2(T)*u2(T)*α + (3//4)*(v3(T)^3)*α + (3//2)*v3(T)*(v2(T)^2)*α + (3//2)*v3(T)*(v1(T)^2)*α + (3//4)*v3(T)*(u3(T)^2)*α + (3//2)*v3(T)*(u2(T)^2)*α + (3//4)*(v2(T)^2)*v1(T)*α - (1//4)*(v1(T)^3)*α - (3//4)*v1(T)*(u2(T)^2)*α ~ 0//1\n"
     },
     "metadata": {},
     "execution_count": 2
    }
   ],
   "cell_type": "code",
   "source": [
    "@variables β α ω ω0 F γ t x(t) # declare constant variables and a function x(t)\n",
    "diff_eq = DifferentialEquation(\n",
    "    d(x, t, 2) + ω0^2 * x + β * x^2 + α * x^3 + γ * d(x, t) ~ F * cos(ω * t), x\n",
    ")\n",
    "\n",
    "add_harmonic!(diff_eq, x, ω) # specify the ansatz x = u(T) cos(ωt) + v(T) sin(ωt)\n",
    "add_harmonic!(diff_eq, x, 2ω)\n",
    "add_harmonic!(diff_eq, x, 3ω)\n",
    "harmonic_eq = get_harmonic_equations(diff_eq)"
   ],
   "metadata": {},
   "execution_count": 2
  },
  {
   "cell_type": "markdown",
   "source": [
    "## four wave mixing"
   ],
   "metadata": {}
  },
  {
   "cell_type": "markdown",
   "source": [
    "If we only have a cubic nonlineariy $\\alpha$, we observe the normal duffing oscillator\n",
    "response with no response at $2\\omega$."
   ],
   "metadata": {}
  },
  {
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "Plot{Plots.GRBackend() n=9}",
      "image/png": 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",
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      ]
     },
     "metadata": {},
     "execution_count": 3
    }
   ],
   "cell_type": "code",
   "source": [
    "varied = (ω => range(0.9, 1.2, 200)) # range of parameter values\n",
    "fixed = (α => 1.0, β => 0.0, ω0 => 1.0, γ => 0.005, F => 0.0025) # fixed parameters\n",
    "result = get_steady_states(harmonic_eq, varied, fixed; threading=true)# compute steady states\n",
    "\n",
    "p1 = plot(result; y=\"√(u1^2+v1^2)\", legend=:best)\n",
    "p2 = plot(result; y=\"√(u2^2+v2^2)\", legend=:best, ylims=(-0.1, 0.1))\n",
    "p3 = plot(result; y=\"√(u3^2+v3^2)\", legend=:best)\n",
    "plot(p1, p2, p3; layout=(1, 3), size=(900, 300), margin=5mm)"
   ],
   "metadata": {},
   "execution_count": 3
  },
  {
   "cell_type": "markdown",
   "source": [
    "## Three wave mixing"
   ],
   "metadata": {}
  },
  {
   "cell_type": "markdown",
   "source": [
    "If we only have a cubic nonlineariy $\\alpha$, we observe the normal duffing oscillator\n",
    "response with no response at $2\\omega$."
   ],
   "metadata": {}
  },
  {
   "cell_type": "markdown",
   "source": [
    "We would like to investigate the three-wave mixing of the driven Duffing oscillator. This means we can excite the system resonantly if the oscillation frequencies $\\omega_1$ and $\\omega_2$ fullfil the conditions $\\omega_1\\pm\\omega_2=\\pm\\omega_0$. Here, we will especially focus on the degenerate three wave mixing, where $\\omega_2=\\omega_0$ such that $2\\omega_0=\\omega_1$. This is a very important process in quantum optics, since it allows us to generate photons with a frequency in the visible range from photons with a frequency in the infrared range. This is called frequency doubling and is used in many applications, e.g. in laser pointers."
   ],
   "metadata": {}
  },
  {
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "Plot{Plots.GRBackend() n=9}",
      "image/png": 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",
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      ]
     },
     "metadata": {},
     "execution_count": 4
    }
   ],
   "cell_type": "code",
   "source": [
    "varied = (ω => range(0.9, 1.2, 200))\n",
    "fixed = (α => 0.0, β => 1.0, ω0 => 1.0, γ => 0.005, F => 0.0025)\n",
    "result = get_steady_states(harmonic_eq, varied, fixed; threading=true)\n",
    "\n",
    "p1 = plot(result; y=\"√(u1^2+v1^2)\", legend=:best)\n",
    "p2 = plot(result; y=\"√(u2^2+v2^2)\", legend=:best, ylims=(-0.1, 0.1))\n",
    "p3 = plot(result; y=\"√(u3^2+v3^2)\", legend=:best)\n",
    "plot(p1, p2, p3; layout=(1, 3), size=(900, 300), margin=5mm)"
   ],
   "metadata": {},
   "execution_count": 4
  },
  {
   "cell_type": "markdown",
   "source": [
    "## Both"
   ],
   "metadata": {}
  },
  {
   "cell_type": "markdown",
   "source": [
    "If we only have a cubic nonlineariy $\\alpha$, we observe the normal duffing oscillator\n",
    "response with no response at $2\\omega$."
   ],
   "metadata": {}
  },
  {
   "cell_type": "markdown",
   "source": [
    "We would like to investigate the three-wave mixing of the driven Duffing oscillator. This means we can excite the system resonantly if the oscillation frequencies $\\omega_1$ and $\\omega_2$ fullfil the conditions $\\omega_1\\pm\\omega_2=\\pm\\omega_0$. Here, we will especially focus on the degenerate three wave mixing, where $\\omega_2=\\omega_0$ such that $2\\omega_0=\\omega_1$. This is a very important process in quantum optics, since it allows us to generate photons with a frequency in the visible range from photons with a frequency in the infrared range. This is called frequency doubling and is used in many applications, e.g. in laser pointers."
   ],
   "metadata": {}
  },
  {
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "Plot{Plots.GRBackend() n=9}",
      "image/png": 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",
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      ]
     },
     "metadata": {},
     "execution_count": 5
    }
   ],
   "cell_type": "code",
   "source": [
    "varied = (ω => range(0.9, 1.2, 200))\n",
    "fixed = (α => 1.0, β => 1.0, ω0 => 1.0, γ => 0.005, F => 0.0025)\n",
    "result = get_steady_states(harmonic_eq, varied, fixed; threading=true)\n",
    "\n",
    "p1 = plot(result; y=\"√(u1^2+v1^2)\", legend=:best)\n",
    "p2 = plot(result; y=\"√(u2^2+v2^2)\", legend=:best, ylims=(-0.1, 0.1))\n",
    "p3 = plot(result; y=\"√(u3^2+v3^2)\", legend=:best)\n",
    "plot(p1, p2, p3; layout=(1, 3), size=(900, 300), margin=5mm)"
   ],
   "metadata": {},
   "execution_count": 5
  },
  {
   "cell_type": "markdown",
   "source": [
    "---\n",
    "\n",
    "*This notebook was generated using [Literate.jl](https://github.com/fredrikekre/Literate.jl).*"
   ],
   "metadata": {}
  }
 ],
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