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    ,

    Matlab.

    2014118

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    1

    1. Maxwell ................................................................................................................................................. 2

    2. TE ................................................................................................................................................................. 4

    3. ........................................................................................................................................... 6

    4. ................................................................................................. 6

    5. atlab ........................................................................................................................................... 8

    6. ....................................................................................................................................... 9

    7. ......................................................................................................................... 17

    8. ........................................................................................................................................................ 19

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    1. Maxwell

    z-. : ,, , (1),, , (2)

    , ,

    b. ,

    .

    Maxwell :

    (3) (4)

    :1 + (5)1 + (6)

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    3

    (7)

    (8)1 () (9)

    1 () (10)

    (7), (8), (9) (10)

    : 1 + (11) 1 (12) 1 + (13)

    1 + (14)

    + . To 2/ . ,

    : / Maxwell :

    [, + ] , , 00 (15)

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    4

    2.TE

    , TE (transverse electric), 0 0. ,, + 0 (16)

    , . ,, , (16) :

    + 1 + 1 + , 0 (17)

    , , , :1 + 1 + 1 + 0, (18)

    + + 1 (19)

    (19) ,

    . , ,

    . : 1

    + 0 (20)

    ,

    + + ( ) 0 (21)

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    5

    (20):

    sin()+cos() (22) , . (22) :

    s i n + co s (23) (21):

    + + 0 (24)

    Bessel. :

    + (25) Bessel . 0 . :

    ,, sin + co s( + ) (26)

    (26) , , C , D . (11), (12), (13), (14)

    0 :

    , sin( + ) (27)

    , sin( + )

    (28)

    , + co s( + ) (29), + co s( + ) (30)

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    3.

    ,, 0 , . (29) : + 0 + 0 (31)

    ( 0 , 0) . :

    (32) ,

    . (32), . (31) C D. :

    (33)

    4.

    ,

    .

    z- Pointing

    . :

    12 { ( )=

    = } 12 { ( )=

    = } (34)

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    (27), (28), (29) (30)

    (33), :

    24 + =+ +

    (35)

    Watt

    , . : + . 1 Watt,

    .

    .

    12 (36)

    .

    .

    . :

    12 + 12 (37)

    + + || (38)

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    8

    :

    2 { + ||

    = + + ||

    = } 2 2 4 + +

    + 4 +

    (39) .

    , . 2 (40)

    p/m. 1 l 8.68588963

    5. atlab

    Matlab, R2013b.

    5 . 8 1 07/ . 1Watt.

    3 =1,5 =1,5 =2,5 =3,5 .

    , .

    2 rooter() r_find(). , ,

    .

    r_find()

    . roots().

    10 10 . 100

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    9

    10 . 10

    ,

    (35)

    (39) Matlab

    , besselj(), bessely(), real(), integral().

    0 40 GHz, 10 MHz, 4000 .

    Watt/m dB/m,

    dB/m .

    10

    :

    a = 1.5cm b = 2.25cm a = 1.5cm b = 3.75cm a = 1.5cm b = 5.25cm

    f11 = 2.5609Ghz f11 = 1.8599Ghz f11 = 1.454Ghz

    f21 = 5.1151Ghz f21 = 3.6166Ghz f21 = 2.7099Ghz

    f31 = 7.6559Ghz f31 = 5.2271Ghz f31 = 3.8035Ghz

    f41 = 10.177Ghz f41 = 6.7207Ghz f01 = 4.2051Ghz

    f51 = 12.674Ghz f01 = 6.8595Ghz f12 = 4.6265Ghz

    f61 = 15.140Ghz f12 = 7.2004Ghz f41 = 4.8298Ghz

    f71 = 17.575Ghz f51 = 8.1471Ghz f22 = 5.7156Ghz

    f81 = 19.977Ghz f22 = 8.1635Ghz f51 = 5.8301Ghz

    f01 = 20.109Ghz f61 = 9.5389Ghz f61 = 6.8173Ghz

    f12 = 20.283Ghz f32 = 9.5876Ghz f32 = 7.0568Ghz

    , ,

    .

    dB 3 3 .

    6.

    plot() Matlab :

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    a = 1.5cm b = 2.25cm:

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    11

    a = 1.5cm b = 2.25cm:

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    12

    a = 1.5cm b = 3.75cm:

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    13

    a = 1.5cm b = 3.75cm:

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    14

    a = 1.5cm b = 5.25cm:

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    15

    a = 1.5cm b = 5.25cm:

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    16

    :

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    17

    7.

    .

    :

    / . b-a

    m=1 ( ). 2

    .

    /

    . . ( ( ) m

    ( ). b/a . , , 4 /o 4 /

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    / . ( ).

    ,

    ( ), ,

    . / ,

    / . /. 2

    .

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    8.

    , ( )

    David M. Pozar, Microwave Engineering

    Sophocles J.Orfanidis, Electromagnetic Waves and Antennas

    Stephen F.Adam, Microwave Theory and Applications

    Kenneth L.Kaiser, Electromagnetic Compatibility Handbook