WWW.DISSERS.RU


...
    !

Pages:     | 1 |   ...   | 8 | 9 || 11 | 12 |

V V WE ; WH = k1 1 + W Z ~ WH = ; jH(1)j2 dV ; VZ " ~ WE = ; jE(1)j2 dV ; V~ ~ ( rot H = j!"E) W0 { .

, . .

, k2 ; k1 WE ; WH = k1 W, , k2 = !2 ", k2 ; k1 2 ! WE ; WH = :

k1 !1 W wE wH :

WE ; WH = (wE ; wH ) V V { .

(wH ; wE ) = p (p { ). , WE ; WH = ; 2p V p V = ; W0, W0 . WE ; WH = 2 W0:

, ! W= !0 W, , W= const:

!W, (!) , . (..).

0 1 0 1 0 1 0 1 0 1 6.6. , . , ( ). , :

Z Z I ~ ~ ~ ~ km jHmj2 dV = jrot Hmj2 dV ; (Hm rot Hm)~ dS:

n V V S ~ ~ rot Hm = j!m"Em, Z Z I ~ ~ ~ ~ km jHmj2 dV = jrot Hmj2 dV + j!m" (Em Hm)~ dS:

n V V S . km:

R H ~ ~ ~ jrot Hmj2 dV (Em Hm)~ ndS V km = + j!"S R R ~ ~ jHmj2 dV jHmj2 dV V V , H ~ ~ Re (Em Hm)~ ndS S 2 km = km 2 + j!m" R ~ jHmj2 dV V km 2 { . , . 0 0 km 2 = !m2 ", !m !m.

, 8 H ~ ~ > Re (Em Hm)~ ndS> < = !m" S km km 1 + j R = ~ > 2km 2 > jHmj2 dV :

V 8 H > > ~ ~ > Re (Em Hm)~ ndS> < = S = km 1 + j :

R > > > ~ > 2!m jHmj2 dV :

V I ~ ~ Re (Em Hm)~ = P | ndS S , ,.. , Z ~ jHmj2 dV = W | V . !mW = Q P , Pr = !mW { . , , . km = km (1 + j ):

2Q , j!m t m e e;! t=2Q:

, . dt dW = ; P dt:

, , , . !m=Q, !m { . , !m dW = ; Wdt Q m W = W0e;! t=Q !mW Q =.

P ~ Emt, , -.

, I I 1 ~ ~ ~ ~ P = Re (Em Hm)~ = Re (~ Em)Hm dS:

ndS n 2 S S ~ ~ ~ Em = Hm n 1 + j = { . , I I 1 ~ ~ P = Re jHmj2 dS = jHmj2 dS:

2 S S Q, R R ~ ~ !m jHmj2 dV jHmj2 dV V Q = = !m V :

H H 1 ~ jHmj2 dS ~ jHmj2 dS 2 S S , !m =, { , R ~ jHmj2 dV V Q = H :

~ jHmj2 dS S , . . , :

2 V jHmjV Q = S jHmj S V { , S { , jHmj2 { V , jHmj2 { S . A :

2 jHmj2 = A jHmj2 :

V S , , A . V V Q = A = A S V V { -. , V = A = 1. Q =. , V , A . , H0mn , ( ) , A 1.

, , . , V V = a3 S = 6a2 = a S d3 V V = S = d2 = d:

6 S V = a:

S , 1 a Q A:

p , a, , 1=Q.. .

6.6.1. E010.

z. r H' = J1 (kr):

a a Z Z Z a2 2 ~ jHmj2 dV = J1 (kr) 2 r h dr = 2 h J1 (kr)r dr = 2 h J1 (ka) = V 0 = ha2J1 (ka):

:

a I Z a2 2 ~ jHmj2 dS = 2 J1 (kr) 2 r dr + 2 ah J1 (ka) = 2 2 J1 (ka) + S 2 + 2 ah J1 (ka) = 2 a(a + h) J1 (ka):

( = ) 2 ha2J1 (ka) 1 ah Q = = :

2 a(a + h) J1 (ka) a + h .

, , :

1 a h a=30 , h=30 , =80 , =2:9 10; 4 . Q = = a + h 5 104.

, , .

, . .

:

H ~ jHmj2 dC C = = s :

R 2 ~ jHmj2 dS 1 ; S , , :

R R ~ ~ jHmj2 dV jHmj2 dS 2 V S Q = R H :

~ ~ jHmj2 dS jHmj2 dC S C R ~ jHmj2 dS S H = s :

~ jHmj2 dC C 1 ;

, Q = s :

1 ;

, , .

, ~ H01, = s :

1 ;

, a Q =.. ( ) ; 5= . , , .

.

= 10 , a = 20 , = 1:64a = 33 , 10; 4 ( ).

, Q = 2 106:

.

, R = 2Z R1 { . , 2 ZQ = :

R, ( ) . .

6.6.2. , .

Z EP = dV V Z "EW = dV V !W !" Q = = :

P =! "= = tg | " " , Q = :

tg , !W Q = P + P 1 P P 1 = + = + :

Q !W !W Q Q , .

6.6.3. , . .

. , , !W Q = :

P , , Q, ( ) Q0.

, 1 1 = + :

Q Q0 Q \ ". , R jHj2 dV R G = ! 0 V :

jHj2 dS S . , :

G Q = r ! = | .

6.7. , . , . . .

, , .

6.7.1. , ~ ~ (Je ) (Jm) . , , ~ ~ Km = ; E ~ n ~ { .

n . , , . , ~ ~ div Es =0 div Hs =0, ( ). X X ~ ~ ~ ~ E = AsEs ; grad 'e H = BsHs ; grad 'm:

s s ~ ~ E H , , , @'m 'ejS = 0 = 0:

@n S , . ~ , div (Hs grad 'e ):

~ ~ ~ div (Hs grad 'e ) = grad 'e rot Hs = j!s"Es grad 'e:

, I Z ~ ~ (Hs grad 'e ) ~ = j!" Es grad 'e dV:

ndS S V ( ) Z ~ Es grad 'e dV = 0:

V Z ~ Hs grad 'm dV = 0:

V 'e 'm. ~ ~ ~ rot E = ; j! H ; Jm ~ ~ ~ rot H = j!"E + Je . ~ ~ 0 = ;j! div H ; div Je ~ ~ 0 = j!" div E + div Jm:

~ ~ E H:

~ j! div grad 'm = div Jm ~ j!" div grad 'e = div Je ~ ~ div Jm div Je 'm = 'e = :

j! j!" @ e ~ + div Je = @t ~ div Je = ; j! e @ m ~ + div Jm = @t ~ div Jm = ; j! :

m , , 'e 'm e m 'e = ; 'm = ; :

" As Bs, :

~ ~ ~ ~ ~ ~ div (Es H) = H rot Es ; Es rot H ~ ~ ~ ~ ~ ~ div (E Hs ) = Hs rot E ; E rot Hs :

~ ~ , Es Hs ~ ~ ~ ~ rot Es = ; j!s Hs rot Hs = j!s"Es:

~ ~ Es Hs, ~ ~ ~ ~ ~ ~ ~ div (Es H) = H (j!s Hs ) ; Es (j!"E + Je ) = ~ ~ ~ ~ ~ ~ = j!s H Hs ; j!"E Es ; Je Es ~ ~ ~ ~ ~ ~ ~ div (E Hs ) = Hs (;j! H ; Jm) ; E (;j!s"Es ) = ~ ~ ~ ~ ~ ~ = ; j! H Hs + j!"E Es ; JmHs :

, ~ ~ E Es S ( ~ ~ Et ), E ~ H , Z Z Z ~ ~ ~ ~ ~ ~ j!s Bs Hs Hs dV ; j!"As Es Es dV = JeEs dV V V V Z Z Z ~ ~ ~ ~ ~ ~ ;j! Bs Hs Hs dV + j!s"A Es Es dV = JmHs dV:

V V V Z Z ~ ~ ~ ~ " Es Es dV = Hs Hs dV:

V V , j! As ; j!sBs = as j!sAs ; j! Bs = bs R R ~ ~ ~ ~ JeEs dV JmHs dV V V as = ; R bs = R :

~ ~ ~ ~ Hs Hs dV Hs Hs dV V V As Bs, !as ; !sbs !sas ; !bs As = Bs = :

2 j(!2 ; !s ) j(!2 ; !s ) , !s { .

As Bs ! = !s,.. . .

j 2 !s = !s 2(1 + ) Qs !s 2 !2 ; !s = !2 ; !s 2 ; j :

Qs ! { , As Bs . ! = !s as ; bs as ; bs As = Qs 0 Bs = Qs !s !s.. As = Bs.

, , . Qs , ~ ~ E H.

.

! !s , . 0 !s(as ; bs) Qs(as ; bs)=!s As Bs = = Qs !s 1 + j (!2 ; !s 2) j(!2 ; !s 2) + !s Qs Qs(as ; bs )=!s = 1 + jQsx ! !s 2 ! x = ; :

0 !s ! !s , Qs.

, As Bs . , , , .

6.7.2. , , . .

, , , , . R ~ ~ JeEs dV Qs Qs V As = as = ; R :

~ ~ !s !s Hs Hs dV V , , ~ Es = const. Z Z ~ ~ ~ ~ JeEs dV = Es Ie dl V L R ~ ~ Ie = Je dS { ( ). , , , , ~ . , Ie = const Z Z ~ ~ ~ Es Ie dl = Ie Es d~ = ; Ie Us l L L Us { (As =1).

, Qs Us R As = Ie:

!s jHsj2 dV V ~ ~ E = As Es:

~ E , U = As Us:

As, , , Qs jUsjR U = Ie:

!s jHsj2 dV V Z jHj2 dV = 2Ws V Ws { , U { 2 Us Us U = Qs 0 Ie = Qs Ie 2!sWs 2Prs Prs = !sWs { . 2 2 Us Us U = = = s 0 2Prs 2!sWs 2!sW ( ). :

UPr = :

2 s R = Qs s . Pr (, Qs = ) Pa :

Pr U2 UR = = :

Pa 2Pr 2Pa ( ) UPa = :

2R , . e Ie = Iem e;jk l ! ke =, ve { . ve Z Z e ~ ~ ~ Es Ie dl = Iem Es e;jk l dl:

L L, , Es =const. d=Z Z jke d=e e ~ ~ Es Ie dl = IemEs e;jk l dl = IemEs (e ; e;jk d=2) = jke L ;d=2sin ked=2 sin == IemEs = IemUs ke = Us = Es d, = ked { . sin =U = IemR :

= sin = = | = U = IemR U = IemR :

U = U ; R = R :

:

U2 U2 2 U P = = = :

2R 2R 2R = :

, , U U = :

1 + jQsx . TEM- (..).

U U = Um sin kz:

dW dz Um sin2 kz dW = C1 dz:

=Z 2 Um sin2 kz C1 Um W = C1 dz = :

2 2 Um Um = = = :

2!0W 2!0 C1Um =16 !0 C = c=f, 8 = = Z2 C1 c Z0 { .

, 2n + 1 (..). 2n +1 . U 2n +1 .

, 2n +1 .

. E Us = :

2!s Ws t01 2: Ez = J0(g01r), g01 =. (r = 0) Ez = 1, a a Us = h. , :

a a Z Z "h "ha2 2 Ws = J0 (g01 r) 2 r dr = "h J0 (g01r) r dr = J1 (g01 a):

2 0 , g t!01 = = :

p01 p " " a , r h2 h = = :

t01 " a t01 J1 (t01 ) p "ha2 J1 (t01 ) a " , t01 2:4, J1(t01 ) 0:52, r r r h h h 0:49 = = :

" a " 2a " d .

: a = 7:5 , h = 2:5 , = 20 , = 1:41 10; 4 , =0:49 377 62 .

1 ah 1 7:5 2:Q = = 13 103:

a + h 1:4 10; 4 R = 62 13 103 0:8 106 = 0:8 :

6.7.3. , , , .

, :

Z ~ ~ Es Ie dl L..

R ~ ~ Es Ie dl L R As = ; :

jHsj2 dV V I e (..).

, . Z I Z Z ~ ~ ~ ~ ~ Es Ie dl = Ie Es d~ = Ie rot Es ~ dS = ; j! Ie Hs ~ dS l n n L L S S S {, , ~ { n . , Hs const, Z ~ ~ ~ Es Ie dl = ; j!s Hs ~ Ie:

nS L , ~ Hs. .

, () , . , .

6.8. , , { , .

6.8.1. { , S, SS (.

.). z S1. , . ,.. . , S1, .

~ Es ~ Hs. S1 , . , . S1 ~ ~ ~ Est = 0 Hst = j h(x y) 1s ~ h(x y) { ~ ~ , Est, Hst { , { , 1s . , 1s ~ . Hst { .

Pages:     | 1 |   ...   | 8 | 9 || 11 | 12 |



2011 www.dissers.ru -

, .
, , , , 1-2 .