Part of OP-02 — Wave Optics

Visual Guide

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YDSE Fringe Pattern — Inline SVG

$S_{1}$ $S_{2}$ d D → Screen y=0 β YDSE — Fringe Pattern β = λD/d

Single Slit Diffraction vs YDSE — Comparison Table

FeatureYDSE (Interference)Single Slit (Diffraction)
Number of apertures2 slits, separation dd1 slit, width aa
Central fringe widthβ=λD/d\beta = \lambda D/d (same as all fringes)2λD/a2\lambda D/a (twice secondary maxima)
Secondary fringe widthβ\beta (all equal)λD/a\lambda D/a (half central)
Minima conditiondsinθ=(2n1)λ/2d\sin\theta = (2n-1)\lambda/2asinθ=nλa\sin\theta = n\lambda
Maxima conditiondsinθ=nλd\sin\theta = n\lambdaasinθ=(2n+1)λ/2a\sin\theta = (2n+1)\lambda/2
Intensity patternAll maxima equal (Imax=4I0I_{\max} = 4I_0)Central brightest; secondary maxima fall rapidly

Brewster Angle Geometry

At Brewster's angle θp\theta_p (where tanθp=n\tan\theta_p = n), the reflected ray is perpendicular to the refracted ray. The reflected ray is completely plane-polarized with E\vec{E} perpendicular to the plane of incidence. The refracted ray is partially polarized.

Polarization apparatus reference (Brewster angle demonstration): Brewster angle polarization

Malus's Law — Intensity Variation

Angle θ\theta between polarizer and analyserTransmitted intensity
0°I0I_0 (maximum, axes aligned)
30°30°3I0/43I_0/4
45°45°I0/2I_0/2
60°60°I0/4I_0/4
90°90°00 (crossed polaroids)

YDSE Path Difference — Mermaid Flowchart

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