Coherence and Interference – Pick the correct statements In wave optics, identify the correct statements about temporal coherence, spatial coherence, and interference behaviour.

Introduction / Context:
Coherence quantifies the predictability of phase relationships in waves. Interference relies on stable phase relations over time (temporal coherence) and across space (spatial coherence). Understanding these concepts is fundamental to interferometry, holography, and coherent imaging systems.

Given Data / Assumptions:

• Linear superposition applies.
• Quasi-monochromatic light suffices for many interference experiments.
• Idealized sources for conceptual clarity.

Concept / Approach:

Temporal coherence relates to spectral purity: a strictly monochromatic source exhibits perfect temporal coherence. Spatial coherence concerns uniform phase across an aperture or across points in the wavefront. Interference fringes arise when coherent waves superpose; zero phase difference yields constructive maxima, while pi phase difference yields minima.

Step-by-Step Solution:

Verification / Alternative check:

Double-slit experiments and Michelson interferometry directly demonstrate these principles.

Why Other Options Are Wrong:

Any subset would omit other true statements; “none” is incompatible with standard wave theory.

Common Pitfalls:

Confusing coherence length (temporal) with aperture size effects (spatial); assuming high intensity guarantees visible fringes without coherence.

Final Answer:

All of these