Part of OP-02 — Wave Optics

Wavefront and Coherence Deep Dive

by Notetube Official145 words4 views

Two Methods of Producing Coherent Sources:

1. Division of Wavefront:

  • A single wavefront is split into two parts
  • Example: Young's double slit, Fresnel biprism, Lloyd's mirror
  • Both parts originate from the same wavefront → same phase at source

2. Division of Amplitude:

  • A single beam is split by partial reflection
  • Example: Newton's rings, thin film interference, Michelson interferometer, Fabry-Pérot etalon
  • The transmitted and reflected beams come from the same incident beam

Coherence Types:

  • Temporal coherence: Correlation over time; related to coherence length Lc=λ2/ΔλL_c = \lambda^2/\Delta\lambda
    • White light: Lc1μmL_c \approx 1\,\mu\text{m} (only 1–2 fringe orders visible)
    • Sodium: Lc30mmL_c \approx 30\,\text{mm} (~50,000 fringes)
    • Laser: LcL_c can be meters or km (millions of fringes)
  • Spatial coherence: Correlation across the wavefront width; determines fringe visibility

NEET Level: Only temporal coherence (from spectral bandwidth) is tested at NEET level.

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