Differences between revisions 3 and 4

Thermal noise

Mirror thermal noise
- Mirror substrate 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
- 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);

-  ⇤ ← Revision 3 as of 2009-01-02 10:54:50 → 
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  Editor: TakashiUchiyama
  Comment:
+   ← Revision 4 as of 2009-01-02 11:16:05 → ⇥
  Size: 923
  Editor: TakashiUchiyama
  Comment:
-Deletions are marked like this.
+Additions are marked like this.
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-   * Mirror substrate structure damping
    * 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);(*coating thermal noise.l:length of cavity[m],dcoa:thickness \
of coating[m],phicoa:loss angle of coating,w1:beam radius of front \
mirror[m],w2:beam radius of end \
mirror[m],tm:temperature[K],E0:Young's modulus[N/m^2]*)
+   * Mirror substrate 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*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
   * 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);