Class Notes Optics Lec02

  • April 2020
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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]

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March 02, 2009 Dated, the………………………….

Ref. No............................





E

B →



B

E

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+

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,

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( $ "

-

∂ 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

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B'

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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 "

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0



B



E

/0 →



B & #! , ( ,

4 +

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5

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+

E

+

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∇ 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

+ (

$ ( "

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+

(

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(

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#

6 0#

(

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E'

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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

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'0<

3

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