light physical use

36
1. 19 (Sir Issac Newton) . . 1678 (Huygens) 19 (Thomas Young and Augus tin Fresnel) . . 1873 (Maxwell) (Henrich Hertz) (visible light) 4.3x10 14 Hz 7.5x10 14 Hz 700 nm 400 nm . . 1900 (Max Plank) . . 1905 (Eiestein) Photo electric effect) (photon) . . 1921 (A.B. Compton) 2 ( ) ( ) บทที2 ทัศนศาสตร์กายภาพ เรียบเรียงโดย ครูธีรพงศ์ อ่อนอก สาขาฟิสิกส์โรงเรียนจุฬาภรณราชวิทยาลัย ชลบุรี

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  • 1. n 19 r (Sir Issac Newton) ro

    n} }ooon

    n .. 1678 r (Huygens) oon

    19 (Thomas Young and Augus tin Fresnel) onr on}

    e .. 1873 rr (Maxwell) ono n jn

    n rr (Henrich Hertz) on n j o on n jn nn (visible light) }n jnono 4.3x1014 Hz 7.5x1014 Hz n 700 nm 400 nm

    e .. 1900 r r (Max Plank) onn} nonn} e .. 1905 r (Eiestein) r Photo electric effect) n }on (photon)

    e .. 1921 m (A.B. Compton) onn}o

    {nnno no} 2 (r) (dr)

    oo}on

    oor rn

    2

  • 2. (speed of light) e 1970 rn (U.S. Bureau of Standards) o

    ornnn 299,792,458 / o 1 noo1/299,792,458 o ( c ) = 3.0x108 n non3. (shadow) o n

    2 on 2.1 nnon n

    }

    ()

    ()

    ()

    2.1 () n} n () n o () nnn

    o

    - 2

  • 2 (superposition) (coherent sources) (monochromatic) 10-8 s 1S 2S

    A P 1S 2S 1r 2r 1S 2S

    2-2 1S 2S P

    1 = 0 sin( 1) (2-1) 2 = 0 sin( 2) (2-2)

    1 2 k (angular wave number) 2

    P

    = 2 1 = 2

    (2 1) (2-3)

    4

    (2 1) (path difference) = 1 + 2 = 0[sin( 1) + sin( 2)]

    22 2

    sin sin sin[ ]cos[ ]m n m n

    m n

    - 3

  • = 20cos (

    2) sin[

    (1+2)

    2] (2-4)

    P 20cos (

    2) **

    (constructive interference) 2E0 2m m = 0, 1, 2, (2-5) (destructive interference) 0 2 1( )m m = 0, 1, 2, (2-6) 2 1 = (2-7)

    2 1 = ( + 1

    2) (2-8)

    .. 1803 (Thomas Young) 2 d (double slit) 2 2 2-2 P 1S 2S OQ 1S P 2S P 2 1 = 1R = (2-9)

    20

    4 -1

    2-3

    ) - ) 1S 2S

    - 4

  • D >> d

    P (2-7) (2-8) P sind m 0, 1, 2( ...)m (2-10) P

    12

    sin ( )d m 0, 1, 2( ...)m (2-11)

    Q 0 0sind Q m Q ( )I ( 2-4)

    I ()2

    402cos2(

    2)

    = cos2(

    )

    = 40

    2

    2-4 = 2

    sin tanx

    D sin

    mmD

    xd

    (2-12)

    mx m Q

    m + 1 Q +1 = (+1)

    = +1 =

    (2-13)

    - 5

  • 2-1 ( = 5460 A ) 0.1 mm 20 cm 1 10 ) 1 0m

    12

    sin ( )d m

    1 9(0 ) 546 10

    23

    0.1 10sin

    0.0027

    0.16 ) 10 10m sind m

    3.13

    2-2 5890 A (d ) 0.02 cm (D ) 4 cm

    10 D >> d (1 A = 10-8 cm)

    D >> d 10m

    mDxd

    8

    10 4 5890 10

    0.02

    0.11780 cm

    sind m

    2 2

    sinx

    D x

    (0.02)(

    (42+2 )) = (10)( 5890 x 10-8 )

    = 0.117851117 cm

    = 0.117851117 0.117800.117851117

    x 100

    0.043 % D >> d 0.043 %

    - 6

  • 4 - 2 1 = 0()

    E0

    (a) Phasor diagram for the wave disturbance E1 = E0 sin t. The phasor is a vector of length E0 rotating counterclockwise. (b) Phasor diagram for the wave E2 = E0 sin(t + ). (c) The disturbance ER is the resultant phasor formed from the phasors of parts (a) and (b).

    2 2 = 0( + ) E1 ER 2-5 (c)

    y Ep , E1 E2 Ep = E1 + E2 (t=0) 2-6

    2-6 ER t=0 =

    2

    0 =

    2

    = 20

    =

    2 = 20cos (

    2)

    ER = sin( + ) = 20 cos(

    2) [sin ( +

    2)]

    = sin ( +

    2)

    Em 2E0cos(

    ) 2-4 **

    - 7

    2- 5

    (2-14)

  • 2 2-7 E1 = E0sin , E2 = E0sin ( + ) , E2 = E0sin ( + 2) ,

    (a) (b)

    2-7 ER

    4-3

    (N) 10,000 1

    (d) d = 1

    = 1

    10,000 =

    1 102

    10,000 = 106

    (a)

    2 - 8 ( a)

    (b)

    (b)

    r

    OT nd sin n

    d TO sin

    - 8

  • nno 2-7(b)

    22sin

    xDx

    T

    OT nd sin n = 0 , 1 , 2 , 3 ,

    22 xDdx

    O

    n OT nd sindnOT sin

    n nn onn o

    n o on

    d TO sin

    on OnDxd

    nDdx O

    n ooo} (diffraction gratings) on n }n ono

    2- 9

    2 - 9

    - 9

    5.

    (2-15)

    D >> d

  • 2-10

    5-1nnonnn n

    onno n oo 2-11

    n (n)

    n no d -no n

    nnon oon

    n nonnno

    n o

    - 10

    2-11

    2-12

    2-12

    D

  • - 11

    o a

    onn no} n nn on T r n}nn 1 3 n nn a/2 1 on 3n Tsin

    2a

    n 2 4 = Tsin2a

    ono} 2 4 n(n 180q) o

    2sin

    2OT a

    o OT sinaonno d } 4 nn o nnd/4 onO/2

    2sin

    4OT a

    OT 2sin a }n 2 onno d } 6 , 8 , 10 , o OT 3sin a , O4 , O5 ,

    on (node) n Q }n n n

    o OT na n sin n = 1 , 2 , 3 ,. n = 1 n 1 n

    nnnn o onnnn 0 T n onn d } 3 , 5 , 7 , n non

    P }nn n n OT )(sin 21 na n n = 1 , 2 , 3 ,. n = 1 nn 1 n

    2-13

    2-13

    (2-16)

    (2-17)

  • nn )( x' oaDx O ' o

    nonaDO2

    a

    2-14

    2-15

    2-3 a (6500 A ) 20 a sina m 1m , 20 , 6500 A

    10

    1 6500 10

    20sina

    190,005.84 A

    3

    - 12

    D

  • 6

    2 S (real source) S (virtual source) (Lloyd's mirror) P S S 180

    2-16

    2-17

    180 2-18 = d

    n , n

    2-17

    nn

    - 13

    .

  • ( d

  • 2-4 0.410-6m ( 1.5) = 0m

    ( 2-18) 122

    ( )nd m

    4 1.5 0.4 10-6 2.4 m

    122

    ( )nd m

    2-19

    2

    d

    f a gn n n (2-20) an gn fn 1.5 1.22 (MgF2) 1.38 (cryolite) 1.36 550 nm 0m 1.5 (1/2)(1/2)(550/1.38) = 100 nm

    - 15

  • 2-20 SiO

    2-5 (SiO, n =1.45) 3.5 550 nm

    1 2

    0m

    d

    122

    ( )nd m

    9

    550 10

    4 4 1.45( )d

    n

    94.8 nm

    30% 10% n 2-6 d rn n = 1.33

    oo onm600 O n d ro

    (o)o

    n

    mmd n

    OO

    )()

    21(2 2

    1

    m = 0 d rn

    d4O = nmnm 113

    ) 33.1( 4600

    d rn m = 1 od r nm

    xnmx

    nd 538

    .33.146003

    43 O

    m = 2 od r nmx

    nmxn

    d 56433.14

    600545 O

    m = 3 od r nmx

    nmxn

    d 78933.14

    600747 O

    d ro = 113 nm d rn o 338 nm , 564 nm ,789 nm ,

    d r

    - 16

  • 7. (Polarization) n

    j } no nn

    nn n}n jrjn 2-22n nn}r(unpolarized light) rn jojn n }nr

    2-21 nj 2-22 rjnr

    oonr o(polarized light) x y ron x y o rnro 2-23

    2-23 rnr

    onrr 1. ro onrono(n)nr(n} 2 r jnr rjon jn

    - 17

  • 2-24 rjnr 1 n

    2-25 rjnr 2 n

    onr}nr (polarizer) nr (analyzer)

    2-26 nrnr (dichroric) r (tourmaline)

    rjn oonrnnrjrnrjr 2-27 nroo}r}nr

    2-27 onnr

    - 18

  • (Malus , s law) nn onnro}rnnrnrr

    oornnnr(polarizer) nnrnoj E nnnnr (analyzer) : T rn r E nnro EcosT nr EsinT nrnno

    rnnr (polarizer) oj Enrr (analyzer) T nr oj Ep

    TcosEE p ..(2-21) T222 cosEE p k T222 coskEkE p ..(2-22)o 2EID o 2pp kEI (nnr)

    2kEI (nnnr)o I }onnnr Ip }onnr (2-22) o onnr

    T2cosII p (2-23)oo I0 }onr (nr)

    I0 = 2I I }onnnr

    n 2-7 nr A0r- 30q r nrn

    nr = A0 r T 30 q nr

    Tcos0A

    A'$30cos0A 0

    0 866.023

    AA

    A'

    - 19

  • 2. roo onro}

    n n no onn o}r 100 %

    - nrnr (Brewster angle) - no = 90qrn Tp n

    1

    2tannn

    p T

    3.15 $902 TT ppTT

    $902

    21

    2

    sinsin

    TT p

    nn

    )90sin(sin

    1

    2

    p

    p

    nn

    TT

    $

    pp

    p

    nn T

    TT

    tancossin

    1

    2 . . 2-28 nro

    . nro orn . n TP ornr

    jo rnnrrooonro

    o n}rn nroronn

    58 58tan n 1.6n

    - 20

    2-8

  • 2-29 nrnrn

    2-30 o E

    nror } 2-29n}r onn nr n o (ordinary ray) n no nn r} 2-29 E (extraordinary ray) onn nE 2-29 o} nn no = nEn

    oro oo no}o oo n on nnrn}n ronooo 4. r nno rnonro onnr rn (scattering)

    3. r n r(calcite ) r (quartz) nnnnnn n (double refracting crystal) n (birefringent crystal)

    - 21

  • 2-31 rrn oo o o rn

    2-31 nrorn

    8. rn 8.1 nnnn

    n nn nonn nnnn on}

    onn n}n 7 n

    2-32 n 2-33 (T)

    (D) } nno n

    n o (nn!n)

    - 22

  • n o Dn!D)on

    no(T!Tn)8.2 o no nn

    oo oo o o 2

    . o . o

    . o 3.23 o

    o oo ooo on

    o oon o 2 on

    o 40q- 42q no nnono 51q - 54q nno non

    - 23

  • 8.3 (scattering of light) }r n

    n on n } n

    }rn n i }no nonn on

    ron 7 on n o o

    o o oj} oj on n n ojnnoo n} i

    er on nj o}j

    roo j noj}j

    o ro j no o oj} o

    8.4 8-4-1 nr

    2-35 n 2-36 no

    - 24

  • n} oo onr o }n(iris) n ndnn(pupil)ooo o}r o or r oo nnro 25 cm no no nn

    - r onr

    oroor oonnoro (f) n(D) f = -D 2-37

    () ()

    2-37 o () n () nnoro

    - rn nro oroo or 25 cm n

    oornr r

    25)25(

    DDf 2-38

    () () 2-38 o

    () on () nnor o 25 cm

    - 25

  • - }nn ornno ononooonro noo 8-4-2 nnrn 2

    - rn }rnoono

    - r }rno no

    r 3 nnn n n nn no rn onnn}o o o rn 1 oo o onno onnr o} n n

    }nr nn or noo

    ( , , ) } o ( , j , n) or 2-41 n } } n} o () o

    8-4-3 nno

    - n }non} no on o

    - n }non onj

    - 26

  • - }nno o nno

    }n 1. o oo

    2. (pigment) oo o no 3 on

    n (j)o ( ) o

    2-39

    nj

    , , , , , -

    , ,n , , j , , - , ,

    3. 2 oo 3 n nn(color substraction) o

    = n + j = j + = n +

    4.n oo n no}

    o nn (complementary color) 3.28 + = n + = j() + = noo

    o

    - 27

  • 1. (primary colour) noo 3

    2.nn (addition of colored light) o

    + = + = n + = (j)

    3.n oo no o

    2-40 2-41

    2-40 2-41 rRed ( R ) , Green (G) , Blue (B) , Magenta(M) ,

    Cyan (C )

    + = + j = + n =

    n (filter)}noono nonon

    - 28

  • 8.5 n (Illuminance) 1. nn nn

    }on n} (lumen ; lm) 2. n (E) (F)

    n nn}r (lx) , 1 r = 1 /3. onn (I) (F) nn

    1 n (Z) onnn} (cd)

    ZFI

    onnS4FI

    n 24 RFS

    no

    AFE 24 RA S

    o2RIE

    onno 22

    21

    2

    1

    RR

    II

    2-42 B A

    n A o

    2maxA

    normalRIEE

    n A TcosmaxEE A

    Tcos2A

    A RIE

    1. (Solid angle) o o

    r n} (steradian) on Sr. o

    A = r =

    B

    - 29

    (2-24)

    (2-25) = 2

  • 1 Sr

    1 o 1 o 1 Sr. o nnnon n

    n n

    2. rnn (Luminous Flux) rnnn solid angle or n} lumen on lm. 1 n solid angle 1 Sr. o Point source onnn 1 candela n Point source 1 candela 1 n 1

    **** Point source n }on r , , r}o

    n}

    }o

    = n n} lumen I = onnn n} candela

    = solid angle n n} steradian

    r onn onnn , nn , n}o

    - 30

    (2-26)

    2-43

    2-44

    4

    42

    2

    42

    =

  • 3. onnn (Luminous intensity) n solid angle o oononnn or I n} candela on cd. o

    1 cd = 1 lm/Sr.

    4. nn (illuminance) nrnn () or E

    1 }nn 2 }nn

    2-45 n1 m2

    nnno 2 n} foot - candle n fc.

    - 31

    (2-27)

    (2-28)

    (2-29)...................

    ...................

    ................... =

    =

    =

    =

    =

    2 =

    2

  • SI n} lux n lx 1 fc = 10.76 lux5. n (luminance) on n} n SI } foot - lambert (fl.) nn on r n no n6. nn (luminous efficacy) nnrnn () ornn n} lumen / watt n lm/w n }onrj

    nrnon no 40 W 11 lm/W nr 36 W 72 lm/W nono 6 n rno 6 n onnrr nnn oo on nnoo

    - 32

  • - 33

    2-9 1 2500

    5

    ( )

    (

    )

    2000

    4

    64 36 144

    ,

    0.50

    2-10

    1020 18 250

    18 %

    3.34

    2-11

  • - 34

    1 6,400 20%

    , ,

    (

    )

    (

    )

    56 %

    2-12

    25 500

    ()

    () ()

    15 120 750 40 500 2,700

    ,

    - 15

    - 40

    - 15

    - 40

    40 200 W

    200

    2-13

  • - 35

    1. 500 nm 1.5 m 2 5 mm [ 0.15 mm]

    2. d D

    [ 32

    D

    d

    ]

    3.

    500 nm 0.01 cm 1 1.5 m [ 1.5 10-2 m]

    4.

    [ 5

    2 ]

    5. a

    ) a (650 nm) 300 [ 1,300 nm]

    ) 300 [ 433 nm]

    6. 1.33 [ 37 ]

    7. mI mI[ 45 135 ]

    8.

    590 nm 250 m 50 cm x mm [ 1.18 mm]