Differences between revisions 5 and 6

Thermal noise

Mirror thermal noise
- Mirror coating structure damping (4枚鏡のtotal.)
  - mirrorcoa[f_, tm_, dcoa_, phicoa_, w1_, w2_, E0_] := 5.5*10^-19*(dcoa/15*10^-6)^1/2*(phicoa/1.2*10^-2)^1/2*Sqrt[(10^-2/w1)²*2+ (10^-2/w2)²*2]*(tm/300)^1/2*(7.24*10¹⁰/E0)^1/2*(100/f)^1/2;
  - l:length of cavity[m], 100m.
  - dcoa:thickness of coating[m], 7.5*10^-6.
  - phicoa:loss angle of coating, 4*10^-4.
  - w1:beam radius of front mirror[m], 4.89*10^-3.
  - w2:beam radius of end mirror[m], 8.48*10^-3.
  - tm:temperature[K], 300K or 20K.
  - E0:Young's modulus of substrate[N/m²], 4*10¹¹.
  - Mathematica関数表記(以下をmathematicaにコピペ利用可能...なはず。)
  - mirrorcoa[f_, tm_, dcoa_, phicoa_, w1_, w2_, E0_] := 5.5*10^{(-19)*(dcoa/(15*10}(-6)))^{(1/2)*(phicoa/(1.2*10}(-2)))^{(1/2)*Sqrt[(10}(-2)/w1)^{2*2 + (10}(-2)/w2)^{2*2]*(tm/300)}(1/2)*(7.24*10^10/E0)(1/2)*(100/f)^(1/2);
- Mirror substrate structure damping (4枚鏡のtotal.)
  - mirrorhomo[f_, tm_, sigma_, phimir_, w1_, w2_, E0_] := Sqrt[4*kb*tm*(1 - sigma²)*phimir/(Sqrt[Pi]*E0*2*Pi*f)]*Sqrt[1/w1*2 + 1/w2*2];
  - l:length of cavity[m], 100.
  - sigma:poisson ratio, 0.27.
  - phimir:loss angle of mirror material, 10^-7 at 300K, 10^-8 at 20K.
  - w1:beam radius of front mirror[m], 4.89*10^-3.
  - w2:beam radius of end mirror[m], 8.48*10^-3.
  - tm:temperature[K], 300K or 20K.
  - E0:Young's modulus[N/m^{2], 4*10}11^.
  - Mathematica関数表記(以下をmathematicaにコピペ利用可能...なはず。)
  - mirrorhomo[f_, tm_, sigma_, phimir_, w1_, w2_, E0_] := Sqrt[4*kb*tm*(1 - sigma^2)*phimir/(Sqrt[Pi]*E0*2*Pi*f)]*Sqrt[1/w1*2 + 1/w2*2];

-  ⇤ ← Revision 5 as of 2009-01-02 11:26:40 → 
  Size: 1631
  Editor: TakashiUchiyama
  Comment:
+   ← Revision 6 as of 2009-01-02 11:28:56 → ⇥
  Size: 1758
  Editor: TakashiUchiyama
  Comment:
-Deletions are marked like this.
+Additions are marked like this.
 Line 7:
-     * l:length of cavity[m], 100m.
     * dcoa:thickness of coating[m], 7.5*10^-6^.
     * phicoa:loss angle of coating, 4*10^-4^.
     * w1:beam radius of front mirror[m], 4.89*10^-3^.
     * w2:beam radius of end mirror[m], 8.48*10^-3^.
     * tm:temperature[K], 300K or 20K.
     * E0:Young's modulus of substrate[N/m^2^], 4*10^11^.
     * Mathematica関数表記(以下をmathematicaにコピペ利用可能...なはず。)
     * mirrorcoa[f_, tm_, dcoa_, phicoa_, w1_, w2_, E0_] := 5.5*10^(-19)*(dcoa/(15*10^(-6)))^(1/2)*(phicoa/(1.2*10^(-2)))^(1/2)*Sqrt[(10^(-2)/w1)^2*2 + (10^(-2)/w2)^2*2]*(tm/300)^(1/2)*(7.24*10^10/E0)^(1/2)*(100/f)^(1/2);
+    * l:length of cavity[m], 100m.
    * dcoa:thickness of coating[m], 7.5*10^-6^.
    * phicoa:loss angle of coating, 4*10^-4^.
    * w1:beam radius of front mirror[m], 4.89*10^-3^.
    * w2:beam radius of end mirror[m], 8.48*10^-3^.
    * tm:temperature[K], 300K or 20K.
    * E0:Young's modulus of substrate[N/m^2^], 4*10^11^.
    * Mathematica関数表記(以下をmathematicaにコピペ利用可能...なはず。)
    * mirrorcoa[f_, tm_, dcoa_, phicoa_, w1_, w2_, E0_] := 5.5*10^(-19)*(dcoa/(15*10^(-6)))^(1/2)*(phicoa/(1.2*10^(-2)))^(1/2)*Sqrt[(10^(-2)/w1)^2*2 + (10^(-2)/w2)^2*2]*(tm/300)^(1/2)*(7.24*10^10/E0)^(1/2)*(100/f)^(1/2);
 Line 28:
+     * mirrorhomo[f_, tm_, sigma_, phimir_, w1_, w2_, E0_] := Sqrt[4*kb*tm*(1 - sigma^2)*phimir/(Sqrt[Pi]*E0*2*Pi*f)]*Sqrt[1/w1*2 + 1/w2*2];