light physical use
DESCRIPTION
physicsTRANSCRIPT
-
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]