{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Wide-angle baffleの設計に必要なscattering powerとかについて" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## はじめに / Introduction" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "広角散乱バッフル(wide-angle baffle, WAB)については、LIGO山本さんにもいろいろ聞いたり、自分でLIGOのdoc serverをあさってみたりして情報を再び整理したが、結局あまりはっきりした根拠などは見られなかった。いずれにせよLIGOはなんらか設けている(あれのメインはどっちかというと腕側を向いた狭角散乱をとらえることであるようだが。それでも、その反対側、つまり直近のミラー側にはいちおう広角散乱バッフルがついているのは確か)。\n", "LIGOのWAB相当をみてみればわかるとおり、バッフル自体はかなり適当なつくりである(Mike Smithのsimulationはかなり単純化した、きれいなmodelに対してやっているようにみえる。)。で、これでいいのかどうかはさておき。必要な情報というのはたとえば\n", "- ミラーに対してどのくらいの立体角を覆うか?これは、WABの迎撃対象がpoint defectsなどに代表される広角散乱のみを考えていることにより、覆っている立体角がすなわち削っているパワーということになるので。\n", "- バッフルの揺れは?また、覆えなかったかったことで散乱した散乱光があたる壁面のゆれは?これらがどれくらい静かならいいのか?\n", "\n", "といったあたりの情報になる。覆えなかったのは全部再結合、、、とするのだろうか??\n", "他にもかんがえるべきことはいくつかある。たとえば、cryopayloadのまわりにassembly frameがたっているのだが、これの柱はやはり見えたらこまるのだろう。" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "LIGO山本さんからのsuggestionとしては、\n", "> Regarding the scattering, not much was understood, even now, and the design \n", "should have been conservative.\n", "\n", "というものでした。で、\n", "> For the wide angle scattering, rough estimation will be a sum of two \n", "contributions, one from surface roughness and one from point defects.\n", "BRDF(Surface roughness) = A / theta or theta^2 (set A to make the total \n", "scattering = 30ppm)\n", "BRDF(point scattering) = 30ppm / 2pi\n", "This will be a descent estimator.\n", "\n", ">With this kind of stray light estimation, you will be able to figure out what \n", "kind of isolator would be needed.\n", "\n", "であると。ここで山本さんが言っている\"BRDF\"が「普通のBRDF」なのか$d\\mathcal{P}/d\\Omega/\\mathcal{P}_0$なのか、はまああれだが、そのあたりはまあいいでしょう。だいたいそういう値である、ということで。光学屋さんとかcomputer graphics (CG)の分野の人が使う「普通のBRDF」との関係は、BRDF$\\cos\\theta=d\\mathcal{P}/d\\Omega/\\mathcal{P}_0$である($\\theta$はzenith angle)。" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Point defectsによる散乱の場合" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "ある面からの全散乱光量の、そのある面に対する入射光量$\\mathcal{P}_0$に対する割合を、$\\alpha_0=\\int_\\mathrm{hemisphere}\\frac{d\\mathcal{P}}{\\mathcal{P}_0 d\\Omega} d\\Omega_\\mathrm{s}$ とおく。見てのとおり、積分は、その面から見える半球面全体に対して定義している。もちろんこの境界面の裏側にも散乱光が漏れないともかぎらないので、その場合は全球で積分するのかもしれない。" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Lambart散乱の場合、BRDF=$\\alpha_0/\\pi$ (定数)になって、$dP/d\\Omega/P_0=(\\alpha_0/\\pi)\\cos\\theta$である(まあ、これはちょっと話が逆といえば逆であるが)。もうちょっと数学メモをしておくと、$d\\Omega_\\mathrm{s}\\equiv\\sin\\theta_\\mathrm{s} d\\theta_\\mathrm{s} d\\phi_\\mathrm{s}$であり、hemisphereであれば$0\\le\\theta_s<\\pi/2$かつ$0\\le\\phi_s<2\\pi$である。覆われる範囲は、単純に立体角を定数に掛け算ってわけではなくて、\n", "$\\int_0^{2\\pi}d\\phi\\int_{\\theta_1}^{\\theta_2}d\\theta \\frac{\\alpha_0}{\\pi} \\cos\\theta\\,\\sin\\theta=\\dots=\\frac{\\alpha_0}{2}(\\cos(2\\theta_1)-\\cos(2\\theta_2))$\n", "となる。\n", "\n", "あと、計算式はたぶん、(書きかけであるが) SLC_ov_v1.pdf の式(15)でよかろう。つまり、\n", "$h_\\mathrm{scatter}=G\\frac{\\sqrt{\\mathcal{P}_\\mathcal{s}}\\,\\delta\\Phi_\\mathrm{s}}{L\\sqrt{\\mathcal{P}_0}}$でよさそう。ここで、$L$は腕の長さで3km、$\\mathcal{P}_\\mathrm{s}$は散乱光のrecombineするパワー、$\\mathcal{P}_0$は、干渉計への入射光でだいたい50W程度ということらしい。$G$は麻生さんの計算したファクター。" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 以下、計算 Calculation" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Header" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "import numpy as np\n", "import scipy as sp\n", "import matplotlib.pyplot as plt\n", "%matplotlib inline" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 伝達関数Gの読み込み Read the Aso's G transfer function described in JGW-T1200913" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "readdata1 = np.genfromtxt('ScatteredLightNoiseCouplingBRSE.dat', comments='#', delimiter=',')\n", "freq1 = np.array([readdata1[:,0]]).transpose() # Frequency [Hz]\n", "ETMX_HR1 = np.array([readdata1[:,1]]).transpose() # G of/from ETM HR [m/rad]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 地面振動の読み込み Read the Kagra's seismic" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "以下で読み込んでいる\"Kamioka_Seismic.txt\"は、たとえば pub/Report/KAGRA/BRT/TMS_DD/01_reduct/01_seis にあるやつで、もともとの加速度データからなおしたもの。" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "readdata3 = np.loadtxt('Kamioka_Seismic.txt', comments='#', delimiter='\\t')\n", "freq3 = np.array([readdata3[:,0]]).transpose()\n", "east3 = np.array([readdata3[:,1]]).transpose()\n", "vert3 = np.array([readdata3[:,3]]).transpose()" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "from scipy import interpolate\n", "ff1 = interpolate.interp1d(freq1.transpose()[0],ETMX_HR1.transpose()[0])\n", "intpETMX_HR1 = ff1(freq3[132:])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### KAGRA Sensitivity の読み込み。比較用。" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "readdata4 = np.genfromtxt('BW2009_VRSEB.dat', comments='#', delimiter=None)\n", "freq4 = np.array([readdata4[:,0]]).transpose()\n", "hRSEB = np.array([readdata4[:,1]]).transpose()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Parameters" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": true }, "outputs": [], "source": [ "P0 = 50 # Input power to the main interferometer (W)\n", "L0 = 3e3 # arm length (m)\n", "lambda0 = 1064e-9 # wavelength (m)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 腕内光量 Power in an arm" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": true }, "outputs": [], "source": [ "Parm = 0.5e6 #[W] ... this should be calculated from P0, but the order of mag would be in this level." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 散乱光量 Scattered power from a mirror" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "50.0" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "alpha0 = 100e-6 # the total loss by point defects at a mirror.\n", "Psc = alpha0*Parm\n", "Psc" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As described here; let us assume the power loss by point defects on a mirror is in order of 100ppm. Then, the intra-arm power would be 500MW, so this scattered power would be 500MW x 100ppm=50kW." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 再結合散乱光量 Recombined secondary scattered power to the main mode" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This is the most uncertain part. How much the recombination is?\n", "\n", "The recombination is a two-step process; (1) a part of the scattered light from the mirror will illuminate the cicumstances anyhow, and a secondary scattering occurs at the wide-angle baffle or any inner-wall surfaces, and then a part of the scondary scattered light will come back to the main mirror, and (2) the main mirror will scatter a part of the coming-back stray light to recombine it to the main mode of the arm cavity." ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [], "source": [ "#Prc = 3e-10*(alpha0/np.pi)*10e-6 * Psc\n", "Prc = 10e-6*10e-6*Psc" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "うーん、3e-10 srをいれてみたけど、わからん。これは、いちおう、main mirrorから見たbeam waistの立体角(SoildAngleMemo参照。)ていうか、だいたい、高反射率のミラーに散乱光がもどってきたら、そのまま再度ほとんどがspecular reflectionにされる可能性だってあるわけで、そこでの散乱成分のうちの再結合量、、、とか考えているのは100倍くらいunderestimateな可能性もあるわけよ。というか、さらによく考えたら、再結合時の散乱過程がかならずしもpoint defect状である必要はなくて、むしろpower low方式だったりすると、急激に中心にビーミングされるんですけど。えー、、、\n", "\n", "ついでにいうなら、どうも光線で物事を考えがちだが、実際は波面なのだということを忘れると痛い目をみる。" ] }, { "cell_type": "code", "execution_count": 39, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "5.000000000000001e-09" ] }, "execution_count": 39, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Prc" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "500kW中の、数ナノワットがcavity modeに再結合っていう設定は、そんなに妙でもない気がするけどね。" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 迷光雑音の計算 Calculation of the stray-light noise" ] }, { "cell_type": "code", "execution_count": 40, "metadata": {}, "outputs": [], "source": [ "hsc1 = intpETMX_HR1/L0*np.sqrt(Prc/P0)*(2*2*np.pi/lambda0*east3[132:])\n", "hsc1_sus = hsc1/(freq3[132:]**2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here, the \"hsc1_sus\" is, as shown above, only multipled by 1/f^2, which is a single pendulem having a 1-Hz resonance. Upconversion of the stray light noise is not considered here." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Plots" ] }, { "cell_type": "code", "execution_count": 41, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.clf() # Clear the current figure.\n", "plt.rcdefaults() # Restore the default rc params.\n", "\n", "pltparams = {'lines.linewidth': 1.0,\n", " 'axes.linewidth': 1.2,\n", " 'axes.labelsize': 20, # fontsize of the x and y labels\n", " 'xtick.major.size': 6, 'xtick.minor.size': 3,\n", " 'ytick.major.size': 6, 'ytick.minor.size': 3,\n", " 'xtick.major.width': 0.8, 'xtick.minor.width': 0.8,\n", " 'ytick.major.width': 0.8, 'ytick.minor.width': 0.8,\n", " 'xtick.labelsize': 20, 'ytick.labelsize': 20,\n", " 'xtick.major.pad': 6, 'xtick.minor.pad': 6,\n", " 'ytick.major.pad': 4, 'ytick.minor.pad': 4,\n", " 'legend.fontsize' : 18,\n", " 'font.family': 'serif'}\n", "\n", "plt.rcParams.update(pltparams)\n", "plt.rcParams['text.usetex'] = True\n", "plt.rcParams['font.serif'] = 'Computer Modern'" ] }, { "cell_type": "code", "execution_count": 42, "metadata": {}, "outputs": [ { "data": { "image/png": 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lTU0Nenp6DOamr66uRkZGhsl7amxsRGlpKcrLy6FSqfDKK68gKiqKnQFny5Yt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+D5l8C69xY0JkK0IfTYIYQ0rsXMwS8sLERcXBzS09M17joql8sRFRWF0aNHIyIiAjNmzEB0dDRk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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.xlabel(r'Frequency $[\\mathrm{Hz}]$')\n", "plt.ylabel(r'Strain $[\\mathrm{1/Hz^{1/2}]$')\n", "#plt.ylim(1e-8,1e-5)\n", "plt.xlim(1, 1e3)\n", "plt.grid()\n", "\n", "#plt.loglog(freq4, hRSEB, color='sage', label=r'RSE B')\n", "plt.loglog(freq4, hRSEB, color='grey', label=r'BRSE')\n", "plt.loglog(freq4, hRSEB/100., color='black',label=r'BRSE/100')\n", "\n", "\n", "\n", "plt.loglog(freq3[132:], hsc1, color='salmon', label=r'Noise w/ WAB')\n", "plt.loglog(freq3[132:], hsc1_sus, color='sage', label=r'Noise w/Suspended WAB')\n", "\n", "\n", "#plt.tight_layout(pad=0.2)\n", "plt.legend(loc='upper right', numpoints=1, fontsize=12)\n", "\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.1" } }, "nbformat": 4, "nbformat_minor": 2 }