Class Notes Optics Lec02
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Telephone : PABX : 9661920-73/4980
DEPT. OF APPLIED PHYSICS, ELETRONICS & COMMUNICATION ENGINEERING UNIVERSITY OF DHAKA DHAKA-1000, BANGLADESH FAX: 880-2-8615583 E-MAIL: [email protected]
! "
March 02, 2009 Dated, the………………………….
Ref. No............................
→
→
E
B →
→
B
E
.
& #!
" '(
$ "
→
"
$
#
→
E'
" '(
./ →
B'
E'
(
# →
"
→
B'
" '(
E'
(
→
B'
#
)
"
*
"
# →
E'
"
+
#
→
$
E' #
" ( "
,
" '(
" →
→
→
→
→
→
→
→
→
( $ "
-
∂ Ex ∂ Bz ∂ B y − = µ 0ε 0 ∂y ∂z ∂t ∂ Ey ∂ Bx ∂ Bz − = µ 0ε 0 ∂z ∂x ∂t
∂ By
∂ Bx ∂ Ez − = µ 0ε 0 ∂x ∂y ∂t →
(
'01
'02
' '
E'
#
!
" #
$ # "%
Telephone : PABX : 9661920-73/4980
DEPT. OF APPLIED PHYSICS, ELETRONICS & COMMUNICATION ENGINEERING UNIVERSITY OF DHAKA DHAKA-1000, BANGLADESH FAX: 880-2-8615583 E-MAIL: [email protected]
! "
March 02, 2009 Dated, the………………………….
Ref. No............................ →
∂E ∂t
/ →
,
B'
" '(
→
B'
→
→
→
→
→
→
→
→
#
→
E'
→
" '
$ "
-
∂ Bx ∂ Ez ∂ E y − =− ∂y ∂z ∂t
∂ By ∂ Ex ∂ Ez − =− ∂z ∂x ∂t ∂ Ey
∂ Ex ∂ Bz − =− ∂x ∂y ∂t →
→
E
, +
B " (
$ →
# +
#
→
E'
3
" "
B'
$
"
"
# ,
4 +
5
→
→
∇ 2 E = ε 0 µ0
∂2 E ∂t 2 →
∂2 B ∇ B = ε 0 µ0 2 ∂t ∂ 2 Ex ∂ 2 Ex ∂ 2 Ex ∂ 2 Ex + + = ε µ 0 0 ∂x 2 ∂y 2 ∂z 2 ∂t 2 2
→
∂2Ey ∂x 2
+
∂2Ey ∂y 2
+
∂2Ey ∂z 2
= ε 0 µ0
∂2Ey ∂t 2
∂ 2 Ez ∂ 2 Ez ∂ 2 Ez ∂ 2 Ez + + = ε µ 0 0 ∂x 2 ∂y 2 ∂z 2 ∂t 2 ∂ 2 Bx ∂ 2 Bx ∂ 2 Bx ∂ 2 Bx + + = ε µ 0 0 ∂x 2 ∂y 2 ∂z 2 ∂t 2
∂ 2 By ∂x 2
+
∂ 2 By ∂y 2
+
∂ 2 By ∂z 2
= ε 0 µ0
∂ 2 By ∂t 2
∂ 2 Bz ∂ 2 Bz ∂ 2 Bz ∂ 2 Bz + + = ε µ 0 0 ∂x 2 ∂y 2 ∂z 2 ∂t 2 ( " " '01
'01
+
/+ / / % $
(
!
" #
$ # "%
Telephone : PABX : 9661920-73/4980
DEPT. OF APPLIED PHYSICS, ELETRONICS & COMMUNICATION ENGINEERING UNIVERSITY OF DHAKA DHAKA-1000, BANGLADESH FAX: 880-2-8615583 E-MAIL: [email protected]
! "
March 02, 2009 Dated, the………………………….
Ref. No............................
∂ 2ψ ∂ 2ψ ∂ 2ψ 1 ∂ 2ψ + + = ∂x 2 ∂y 2 ∂z 2 v 2 ∂t 2 1 v=
(
ε 0µ0
/ 3
ε 0 µ 0 ≈ (8.85 × 10 −12 s 2 .C 2 / m 3 .kg )( . 4π × 10 −7 m.kg / C 2 ) ≈ 11.12 × 10 −18 s 2 / m 2 "
1
v=
−8
11.12 × 10 s / m 2
2
(
$ -
≈ 3 × 10 8 m / s
6 "
$
"
(
"
#
0
→
B
→
E
/0 →
→
B & #! , ( ,
4 +
" (
5
"
+
E
+
( +'
"
( #
#
→
→
∇ 2 E = ε 0 µ0
∂2 E ∂t 2
→
E
,
(
+' + # →
→
E = E ( x, t ) 4 +
,
→
→
5
-
→
∂ Ex ∂ E y ∂ Ez + + =0 ∂x ∂y ∂z →
E
→
∂ Ex =0 ∂x '01
'07
!
" #
$ # "%
Telephone : PABX : 9661920-73/4980
DEPT. OF APPLIED PHYSICS, ELETRONICS & COMMUNICATION ENGINEERING UNIVERSITY OF DHAKA DHAKA-1000, BANGLADESH FAX: 880-2-8615583 E-MAIL: [email protected]
! "
March 02, 2009 Dated, the………………………….
Ref. No............................ +
(
+
, 3
+ (
$ ( "
(
+
(
" #
(
(
( +'
#
6 0#
(
"
→
E'
(
)
(
#
+
' +
-
→
E = ˆjE y ( x, t ) 4 + 5
-
→
→
→
→
→
→
→
→
→
∂ Bx ∂ Ez ∂ E y − =− ∂y ∂z ∂t ∂ By ∂ Ex ∂ Ez − =− ∂z ∂x ∂t
∂ Ey
∂ Ex ∂ Bz − =− ∂x ∂y ∂t ( →
→
∂ Ey
∂ Bz =− ∂x ∂t /+ /
,
→
B'
" '
(
"
'
-
→
B = kˆB z ( x, t )
" 89
'01
#! :
'0<
3
(
(
#
;
!
" #
$ # "%
DEPT. OF APPLIED PHYSICS, ELETRONICS & COMMUNICATION ENGINEERING UNIVERSITY OF DHAKA DHAKA-1000, BANGLADESH FAX: 880-2-8615583 E-MAIL: [email protected]
! "
March 02, 2009 Dated, the………………………….
Ref. No............................
→
→
E
B →
→
B
E
.
& #!
" '(
$ "
→
"
$
#
→
E'
" '(
./ →
B'
E'
(
# →
"
→
B'
" '(
E'
(
→
B'
#
)
"
*
"
# →
E'
"
+
#
→
$
E' #
" ( "
,
" '(
" →
→
→
→
→
→
→
→
→
( $ "
-
∂ Ex ∂ Bz ∂ B y − = µ 0ε 0 ∂y ∂z ∂t ∂ Ey ∂ Bx ∂ Bz − = µ 0ε 0 ∂z ∂x ∂t
∂ By
∂ Bx ∂ Ez − = µ 0ε 0 ∂x ∂y ∂t →
(
'01
'02
' '
E'
#
!
" #
$ # "%
Telephone : PABX : 9661920-73/4980
DEPT. OF APPLIED PHYSICS, ELETRONICS & COMMUNICATION ENGINEERING UNIVERSITY OF DHAKA DHAKA-1000, BANGLADESH FAX: 880-2-8615583 E-MAIL: [email protected]
! "
March 02, 2009 Dated, the………………………….
Ref. No............................ →
∂E ∂t
/ →
,
B'
" '(
→
B'
→
→
→
→
→
→
→
→
#
→
E'
→
" '
$ "
-
∂ Bx ∂ Ez ∂ E y − =− ∂y ∂z ∂t
∂ By ∂ Ex ∂ Ez − =− ∂z ∂x ∂t ∂ Ey
∂ Ex ∂ Bz − =− ∂x ∂y ∂t →
→
E
, +
B " (
$ →
# +
#
→
E'
3
" "
B'
$
"
"
# ,
4 +
5
→
→
∇ 2 E = ε 0 µ0
∂2 E ∂t 2 →
∂2 B ∇ B = ε 0 µ0 2 ∂t ∂ 2 Ex ∂ 2 Ex ∂ 2 Ex ∂ 2 Ex + + = ε µ 0 0 ∂x 2 ∂y 2 ∂z 2 ∂t 2 2
→
∂2Ey ∂x 2
+
∂2Ey ∂y 2
+
∂2Ey ∂z 2
= ε 0 µ0
∂2Ey ∂t 2
∂ 2 Ez ∂ 2 Ez ∂ 2 Ez ∂ 2 Ez + + = ε µ 0 0 ∂x 2 ∂y 2 ∂z 2 ∂t 2 ∂ 2 Bx ∂ 2 Bx ∂ 2 Bx ∂ 2 Bx + + = ε µ 0 0 ∂x 2 ∂y 2 ∂z 2 ∂t 2
∂ 2 By ∂x 2
+
∂ 2 By ∂y 2
+
∂ 2 By ∂z 2
= ε 0 µ0
∂ 2 By ∂t 2
∂ 2 Bz ∂ 2 Bz ∂ 2 Bz ∂ 2 Bz + + = ε µ 0 0 ∂x 2 ∂y 2 ∂z 2 ∂t 2 ( " " '01
'01
+
/+ / / % $
(
!
" #
$ # "%
Telephone : PABX : 9661920-73/4980
DEPT. OF APPLIED PHYSICS, ELETRONICS & COMMUNICATION ENGINEERING UNIVERSITY OF DHAKA DHAKA-1000, BANGLADESH FAX: 880-2-8615583 E-MAIL: [email protected]
! "
March 02, 2009 Dated, the………………………….
Ref. No............................
∂ 2ψ ∂ 2ψ ∂ 2ψ 1 ∂ 2ψ + + = ∂x 2 ∂y 2 ∂z 2 v 2 ∂t 2 1 v=
(
ε 0µ0
/ 3
ε 0 µ 0 ≈ (8.85 × 10 −12 s 2 .C 2 / m 3 .kg )( . 4π × 10 −7 m.kg / C 2 ) ≈ 11.12 × 10 −18 s 2 / m 2 "
1
v=
−8
11.12 × 10 s / m 2
2
(
$ -
≈ 3 × 10 8 m / s
6 "
$
"
(
"
#
0
→
B
→
E
/0 →
→
B & #! , ( ,
4 +
" (
5
"
+
E
+
( +'
"
( #
#
→
→
∇ 2 E = ε 0 µ0
∂2 E ∂t 2
→
E
,
(
+' + # →
→
E = E ( x, t ) 4 +
,
→
→
5
-
→
∂ Ex ∂ E y ∂ Ez + + =0 ∂x ∂y ∂z →
E
→
∂ Ex =0 ∂x '01
'07
!
" #
$ # "%
Telephone : PABX : 9661920-73/4980
DEPT. OF APPLIED PHYSICS, ELETRONICS & COMMUNICATION ENGINEERING UNIVERSITY OF DHAKA DHAKA-1000, BANGLADESH FAX: 880-2-8615583 E-MAIL: [email protected]
! "
March 02, 2009 Dated, the………………………….
Ref. No............................ +
(
+
, 3
+ (
$ ( "
(
+
(
" #
(
(
( +'
#
6 0#
(
"
→
E'
(
)
(
#
+
' +
-
→
E = ˆjE y ( x, t ) 4 + 5
-
→
→
→
→
→
→
→
→
→
∂ Bx ∂ Ez ∂ E y − =− ∂y ∂z ∂t ∂ By ∂ Ex ∂ Ez − =− ∂z ∂x ∂t
∂ Ey
∂ Ex ∂ Bz − =− ∂x ∂y ∂t ( →
→
∂ Ey
∂ Bz =− ∂x ∂t /+ /
,
→
B'
" '
(
"
'
-
→
B = kˆB z ( x, t )
" 89
'01
#! :
'0<
3
(
(
#
;
!
" #
$ # "%
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