University:
Santa Fe College
Course:
ETS 2527C | Electromechanical Components and Mechanisms
Academic year:

2024
Views:

409

Pages:

5
Author:

Jabin F.

#Interference in E.M: Waves: Sound waves do not have property of Polarization. Interference ✓ Diffraction ⇒ Polarization(x) # Conditions of interference: √E=Ee(wit) VE = Exel(Rar-wat) E = Eos y ell(RP-ost) Same state of polarization... ② 2 Waves must be Coherent. Coherent→ phase diff. RR = Constant spatial (wi-w₂)t = Coherent Constant Temporal Coherent. Waves should be monochromatic, one wave has one frequency #Types of interference: 1. By the division of ware front. 2. By the division of amplitude. #1 wave Interference by the division of Wave front: (Young's double split experime Two narrow slits lif marrow (Diffraction combe neglected) there is no diffraction) d=split separation P Zm Source (monocre matic) a D A E=Eoû e[ki (SIP)-wt] E = Eo [ka (S2P)-wt]. - 2) If both waves have same frequency (wavelength) # Path difference = (S2P-SIP) Phase diff. (8) = 2 (S2P-SIP) 318 * If Path difference = n, n = 0,1,2,3... then interference is Constructive (Bright hase diff. 8= (1) = 2mm So fringe) If path difference = (2n+1) , m=0,1,2۰۰۰۰ then interference is destructive (Dark fringe) phase diff. S= (127) (27+1) λ S = (2n+1) π Intensity under interference phenomenon I = I +Is+2]II Cos →Constructive interference max. intensity. (8= 0,211, 417----) Imax= I + I2 +25,2 ⇒ Imax= + Destructive interference min. intensity (= π, 3, 5---) Imin=(エーエ₂)² 2 12 ⇒ Z 2 SzP.= (++) 2 S₂P=(Zm+)²+D² Sip SP = (2m-+0² ⇒ Sap = D(1+). 4 very small D→ large 2 small 02 and Bionomial exp 2 Zmd S2P= D+ 20 Similarly = d's Zmd 2D Zm d D →Path diff. SP-SIP= # Mth order maxima Zmd it = ηλ D Zm = d #mth order minima:. Zmd = 12m+1) D Zm = (2m+1) AD 2d