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求fh3函数在[0.001 0.01]和[0.003 0.1]之间的最小值,估计在1至5之间。
: G* q, c/ h; U1 @5 F! O5 |function f=fh3(n)
1 k% u+ u2 D2 B2 b8 y- p9 r7 j5 rg2=2^0.5-1;7 O1 w+ T% |; l0 k
mu0=4*pi*10^(-7);
6 n) |7 W. x, h& xgaf=7.8*10^3;
3 O! x& |( o$ W" y) y( P2 igacu=8.9*10^3;' Q- n6 r! M" W( B: P
gat=4.5*10^3;
" B r# T- l G, @& ~2 h$ cgaa=2.7*10^3;
, k! R0 H+ B4 Wp=2.7*10^4;2 P+ }3 O. b" ~( G
q=3*10^(-5);
5 n8 M6 w5 h- ^. _) vrou=0.7;" V9 `# n# S5 e) l0 y
kb=0.9;
& F( J) r! X5 A* g" Q" C6 A/ c%j0=8*10^6;
# W8 ^. r+ D+ N8 [/ e4 }$ o/ Oj0=2*10^6;
8 ` E0 Q- v& ?$ ]' u( {5 h& @kd=3;6 [* J: v6 J) P; Z5 G' `0 V, M: F
bm=2;7 o( E) F7 o6 u# `6 T
ht=2*10^(-3);
+ E5 v' z0 V1 w6 Jmu1=10^8/1.75;6 {7 l6 ~$ n6 k& ~2 J/ F
kt1=2*pi*gat*ht;. }8 p" r- q' g* z3 @
kt2=2*pi*gaa*ht;* s( ?4 [& |8 u+ t, J
kr=1.02;+ H9 k# E# T5 |. I
ku=(mu0/2/bm)^0.5;
( r' H! u3 |# q) k6 [' q7 ]kx=mu0^0.5*kb*kd^2*j0;
% r* ]" { ~* z# Ykp=(2*q/pi/p)^0.5;" l3 D( p5 ^! J5 A. B w4 A# u; e t
kg=mu0^0.5*kb*kd*j0*g2;
8 J/ |* @7 _, K q+ d' ^" rrx=ku*kx-kp*kg;# u" m* G. { _- f3 H4 q
ra=ku*kg;' J9 ]' j9 ~* y8 S D
rc=kp*kx;7 N1 _$ N. j- O6 ?
kj=mu0*kb*kd*j0;6 ^4 h/ J6 v% ^1 o. d9 x/ Y7 x$ q
kj=kj/kx;) h/ F- Y3 c) B; ?( ]6 r" n
h0=3*ht;! ^8 U3 ?4 b- w; B& Q) m* F
h1=2*(1+1/rou)*q/pi;7 V4 h# m& I2 C1 ~
h2=2*(kd-1);
" R3 Y# Y8 S& ~h3=1/bm*(mu0*p*q/(2*pi))^0.5;* Y! c, u) R' y- N3 M! q
h4=1/kj*(mu0*p*q/(2*pi))^0.5;
% Y. S" a% p+ Bhg=2*pi*kr*ht;
, ]; D( Z& E/ ^4 ~w1=gaf/bm*(pi*p*q*mu0/2)^0.5;
2 D) J/ H3 J4 ]8 G# B" Ow1p=8*g2*kd*w1;
0 S( b: G) @" Xw2=2*kd^2*gaf*(2*pi*mu0*p*q)^0.5/kj;
V. }- m* L! e+ m- Fw3p=2*g2*gacu/kj*(2*pi*p*q*mu0)^0.5;
) f# D2 Z+ K& }! aw3pp=hg*h3;
; o9 y: i9 C1 L% w. \/ F8 x- fw3=w3p+w3pp;
5 d- d" J3 C9 x3 O1 J8 e0 {2 V) kw4=2*kd*gacu/kj*(2*pi*p*q*mu0);
: W1 W7 s8 I! i. ?* fw5=5*pi*ht*gat;6 {3 J! W0 L$ Z
w6=hg*h0*gat;
* p0 `9 F2 p. qw7=hg*h1*gat;
# s6 F8 d7 E7 L8 N" X8 Yw8=hg*h0*gat;2 g1 i# k# n, U9 T1 P* P2 H8 G6 q
w9=hg*h4*gat;0 z. C" T8 A5 x* l$ x0 Z
f=w1p*r*x^0.5+w2*x^1.5/(g2*r-kd*x)+w3*r*x^(-0.5)+w4*x^0.5+w5*r^2+w6*r+w7/r+w8*r*x+w9*r*x^(-0.5)/(g2*r-kd*x);) \, f: _' T+ P" P ~" x
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