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duguwuhao

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[ÇóÖú] ÇóÖúmatlab forÑ­»·Öеĸ³ÖµÎÊÌâ¡£ ÒÑÓÐ2È˲ÎÓë

dm=0.001*2*pi*c;
    w=-0.5*2*pi*c:dm:0.5*2*pi*c;
    Kx=zeros(size(w));
    Ay=zeros(size(w));
for m=1:length(w);
    syms ay kx ky;
    y=(0.0382*8*(pi^3)*(c^4)*sqrt(ainf-(wp.^2)./(w.^2)))./((wp^2).*w);
    axx=ainf*((1-(wp*(w+1i*y)*wp))./(w.*(((w+1i*y).^2)-((wc)^2))));   %ÎÞµ¥Î»
    axy=ainf*(((wp^2)*wc*1i)./(w.*(((w+y*1i).^2)-((wc)^2))));   %ÎÞµ¥Î»
    azz=ainf.*((1-(wp^2))./(w.*(w+1i*y)));   %ÎÞµ¥Î»
    a1=real(axx);
    a2=imag(axx);
    a3=real(axy);
    a4=imag(axy);
    a5=real(azz);
    a6=imag(azz);
    f1=ay-sqrt((kx.^2)-((w./c).^2));
    f2=kx-((sqrt(((a4.*ay./2).^2))+(a1.*(w./c).^2)-((a1.*ay.*ky)./(tan(ky.*t))))-(a4.*ay./2));
    f3=ky-(sqrt((((w./c).^2).*(a1-((a4.^2)./a1)))-kx.^2));
    [kx,ay]=solve('f1','f2','f3');
    Kx(m)=kx;
    Ay(m)=Ay;
end


ÔËÐÐÌáʾ£ºÔÚ¸³Öµ A( = B ÖУ¬A ºÍ B ÖеÄÔªËØÊýÄ¿±ØÐëÏàͬ¡£
³ö´íÐÐÊý£º    Kx(m)=kx;
    Ay(m)=Ay;

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duguwuhao

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ÄǸöЦÁ³²»ÊÇÎÒÂôÃȰ¡¡£¡£¡£¡£ÎÒÒ²²»ÖªµÀÔõô³öÏֵġ£¡£¡£¡£¡£¡£
2Â¥2016-09-16 13:07:16
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

guokeqin

½ð³æ (ÕýʽдÊÖ)

¡¾´ð°¸¡¿Ó¦Öú»ØÌû

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solveº¯Êý£¬²»ÄܼÆËãµã³Ë£¬½¨ÒéÄã²ÉÓÃsolveº¯Êý¼ÆËã³öÀ´º¯Êý¹ØÏµÊ½£¬È»ºóÊÖ¶¯ÊäÈë·½³ÌÔÙ²Ù×÷

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6Â¥2016-09-17 06:57:58
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû
ÆÕͨ»ØÌû

duguwuhao

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ÐÞ¸ÄÁËһϣ¬½«w¸Ä³Éw£¨m£©£¬»¹Êdzö´íÃ²ËÆ£¬ÊÇÎÒsolveµÄÎÊÌ⡣ûÓеóöÊýÖµ½â

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3Â¥2016-09-16 14:43:59
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

duguwuhao

гæ (СÓÐÃûÆø)

ÎÒ¼ì²éÁËÏ£¬³ÌÐò£¬Ã²ËÆÊÇsloveÓï¾äµÄÎÊÌ⣬µ¥¶ÀÄóöÀ´£¬³ÌÐò³öÏÖ¾¯±¨£º¾¯¸æ: Cannot solve symbolically. Returning a numeric approximation instead. ¹òÇó´óÉñ½â¾ö
4Â¥2016-09-16 15:38:26
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

FMStation

ÖÁ×ðľ³æ (ÖªÃû×÷¼Ò)

¡¾´ð°¸¡¿Ó¦Öú»ØÌû

¸Ðл²ÎÓ룬ӦÖúÖ¸Êý +1
https://www.mathworks.com/help/symbolic/solve.html

Return Numeric Solutions
Try solving the following equation. The symbolic solver cannot find an exact symbolic solution for this equation,
and therefore issues a warning before calling the numeric solver. Because the equation is not polynomial, an
attempt to find all possible solutions can take a long time. The numeric solver does not try to find all numeric
solutions for this equation. Instead, it returns only the first solution it finds.
5Â¥2016-09-16 21:56:31
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

duguwuhao

гæ (СÓÐÃûÆø)

ÒýÓûØÌû:
6Â¥: Originally posted by guokeqin at 2016-09-17 06:57:58
solveº¯Êý£¬²»ÄܼÆËãµã³Ë£¬½¨ÒéÄã²ÉÓÃsolveº¯Êý¼ÆËã³öÀ´º¯Êý¹ØÏµÊ½£¬È»ºóÊÖ¶¯ÊäÈë·½³ÌÔÙ²Ù×÷

ÎҰѵã³ËÈ¥µôÏÔʾ£º
ÔÚ¸³Öµ A( = B ÖУ¬A ºÍ B ÖеÄÔªËØÊýÄ¿±ØÐëÏàͬ¡£
ÎÒÖØÐ±àÁËÒ»ÏÂsolveµÄ¹«Ê½£º
kx=solve(tan(t*(((sqrt(((w(m)/c)^2)*(a1-((a4^2)/a1)))))-(kx^2)))==(a1*sqrt(((w(m)/c)^2)*(a1-((a4^2)/a1))-(kx^2))*sqrt((kx^2)-((w(m)/c)^2)))/((a1*((w(m)/c)^2))-(kx^2)-(a4*kx*sqrt((kx^2)-((w(m)/c)^2)))),kx);
µ«ÊÇÔÚkx¸³Öµµ½KxµÄʱºò³öÏÖ´íÎó£¬ÁíÍ⣬solveÓï¾äµ¥¶ÀÄóöÀ´½øÐмÆËãµÄʱºò»á³öÏÖ¾¯¸æ£º
¾¯¸æ: Cannot solve symbolically. Returning a numeric approximation instead. Õâ¸öʱºòÎÒÄÜÊä³ökx¡£ºÜÒÉ»ó¡£
7Â¥2016-09-17 22:28:39
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

duguwuhao

гæ (СÓÐÃûÆø)

ÒýÓûØÌû:
5Â¥: Originally posted by FMStation at 2016-09-16 21:56:31
https://www.mathworks.com/help/symbolic/solve.html

Return Numeric Solutions
Try solving the following equation. The symbolic solver cannot find an exact symbolic solution for this equation,
and ...

´óÉñ£¬Õâ¸öÎÒÁ˽âÁË£¬ËùÒÔ³¢ÊÔ°ÑsolveÓï¾äÐÞ¸ÄÁËһϣ¬µ¥¶À¼ÆËãkx=solve(tan(t*(((sqrt(((w/c)^2)*(a1-((a4^2)/a1)))))-(kx^2)))==(a1*sqrt(((w/c)^2)*(a1-((a4^2)/a1))-(kx^2))*sqrt((kx^2)-((w/c)^2)))/((a1*((w/c)^2))-(kx^2)-(a4*kx*sqrt((kx^2)-((w/c)^2)))),kx);ʱ£¬ÏÖ³öÏÖ¾¯¸æ£º
¾¯¸æ: Cannot solve symbolically. Returning a numeric approximation instead.
Õâ¸öʱºòÄÜÊä³ökxµÄÊýÖµ½â£¬ËùÒÔÎҾͱȽÏÒÉ»óΪʲôÓÐÊýÖµ½â»¹²»Äܸ³Öµ³É¹¦¡£¡£¡£
8Â¥2016-09-17 22:31:36
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

duguwuhao

гæ (СÓÐÃûÆø)

ÎÒ°Ñ·½³Ì×é½øÐд¦Àí£¬ÕûÀí³ÉÒ»¸ö¹«Ê½½øÐмÆË㣬´úÂëÈçÏ£º
clear;
clc;
a0=8.85*1e-12;    %c2/m2N
ainf=12.37;   %¼«ÏÞ¸ßÆµÏà¶Ô½éµç³£Êý ÎÞµ¥Î»
%y=pi*1e11;   %Ë¥¼õƵÂÊ hz
B=3;   %´Å³¡Ç¿¶È T»òkg/As2
%T=185;   %ÎÂ¶È K
t=1.361*1e-6;  %ºñ¶È m
e=1.6*1e-19;   %µ¥Î»µçºÉÁ¿ C
me=9.11*1e-31;   %µç×ÓÖÊÁ¿ kg
m=0.033*me;   %ÔØÁ÷×ÓÖÊÁ¿ kg
N=8*1e23;
c=3e8;
%N=(5.76*1e20)*(T^1.5)*exp(-(0.13/((8.625*1e-5)*T)));   %ÔØÁ÷×ÓŨ¶È m-3  ´Ë´¦µÄ0.0151ΪKB*T KBΪ²£¶û×ÈÂü³£Êý8.625e-5 eV/K,ËùÒÔ0.0151µ¥Î»ÎªeV
wc=e*B/m;   %»ØÐýƵÂÊ rad/s
wp=sqrt(N*(e^2)/(a0*m));   %µÈÀë×ÓÆµÂÊ rad/s
%w=0:pi*2*(2*(1e12))/1000:pi*2*2*(1e12);   %¶¨Ò寵ÂÊ·¶Î§ rad/s
%w=1.21*2*pi*1e12;
dm=0.0001*2*pi*c;
    w=0.4*2*pi*c:dm:0.5*2*pi*c;
    Kx=zeros(size(w));
    Ay=zeros(size(w));
for m=1:length(w);
    syms kx;
    y=(0.0382*8*(pi^3)*(c^4)*sqrt(ainf-(wp.^2)./(w(m).^2)))./((wp^2).*w(m));
    axx=ainf*((1-(wp*(w(m)+1i*y)*wp))./(w(m).*(((w(m)+1i*y).^2)-((wc)^2))));   %ÎÞµ¥Î»
    axy=ainf*(((wp^2)*wc*1i)./(w(m).*(((w(m)+y*1i).^2)-((wc)^2))));   %ÎÞµ¥Î»
    azz=ainf.*((1-(wp^2))./(w(m).*(w(m)+1i*y)));   %ÎÞµ¥Î»
    a1=real(axx);
    a2=imag(axx);
    a3=real(axy);
    a4=imag(axy);
    a5=real(azz);
    a6=imag(azz);
    kx=solve(tan(t*(((sqrt(((w(m)/c)^2)*(a1-((a4^2)/a1)))))-(kx^2)))==(a1*sqrt(((w(m)/c)^2)*(a1-((a4^2)/a1))-(kx^2))*sqrt((kx^2)-((w(m)/c)^2)))/((a1*((w(m)/c)^2))-(kx^2)-(a4*kx*sqrt((kx^2)-((w(m)/c)^2)))),kx);
    A=char(kx);
    Kx(m)=A;
end
ÏÔʾ£º
ÔÚ¸³Öµ A( = B ÖУ¬A ºÍ B ÖеÄÔªËØÊýÄ¿±ØÐëÏàͬ¡£

³ö´í yanzheng (line 38)
    Kx(m)=A;
¡£¡£¡£¡£¡£
9Â¥2016-09-17 22:34:08
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

czcdxmc

ľ³æ (ÕýʽдÊÖ)

MEMSСѧÉú

ÒýÓûØÌû:
4Â¥: Originally posted by duguwuhao at 2016-09-16 15:38:26
ÎÒ¼ì²éÁËÏ£¬³ÌÐò£¬Ã²ËÆÊÇsloveÓï¾äµÄÎÊÌ⣬µ¥¶ÀÄóöÀ´£¬³ÌÐò³öÏÖ¾¯±¨£º¾¯¸æ: Cannot solve symbolically. Returning a numeric approximation instead. ¹òÇó´óÉñ½â¾ö

¾¯¸æÒÑ˵Ã÷´íÎóÔ­Òò¡£

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