Optics and Wave Problem Chain

validated scientific chain v1.0.0 cc-by-sa

Block ID: 171774a0-748a-450a-8539-b05042015cb4

Community-contributed block. PromptDNA makes no guarantee of output quality or fitness for purpose. User assumes all responsibility for use.

Template

Solve the optics or wave problem in {optics_problem} with careful regime identification. (1) Identify the physical regime first, because it determines the entire approach: geometric optics when features are large compared to wavelength (use ray tracing and lens/mirror equations), wave optics when interference or diffraction matters (features comparable to wavelength), or the boundary between them — applying ray optics to a diffraction problem is a category error. (2) Set up the geometry and sign conventions explicitly: object and image distances, focal lengths, and the sign convention for real versus virtual, converging versus diverging — the dominant error source in optics problems. (3) For geometric problems, apply the governing equation, track whether images are real/virtual and upright/inverted, and compute magnification. (4) For wave problems, identify the path difference or phase relationship, apply the condition for constructive/destructive interference, and account for any phase shift on reflection. (5) Carry the wavelength's medium dependence — it changes on entering a new medium while frequency stays fixed. (6) Verify with a limiting case (object at infinity, normal incidence) and check that the result's sign and magnitude match physical expectation before reporting.

Solve the optics or wave problem in {optics_problem} with careful regime identification. (1) Identify the physical regime first, because it determines the entire approach: geometric optics when features are large compared to wavelength (use ray tracing and lens/mirror equations), wave optics when interference or diffraction matters (features comparable to wavelength), or the boundary between them — applying ray optics to a diffraction problem is a category error. (2) Set up the geometry and sign conventions explicitly: object and image distances, focal lengths, and the sign convention for real versus virtual, converging versus diverging — the dominant error source in optics problems. (3) For geometric problems, apply the governing equation, track whether images are real/virtual and upright/inverted, and compute magnification. (4) For wave problems, identify the path difference or phase relationship, apply the condition for constructive/destructive interference, and account for any phase shift on reflection. (5) Carry the wavelength's medium dependence — it changes on entering a new medium while frequency stays fixed. (6) Verify with a limiting case (object at infinity, normal incidence) and check that the result's sign and magnitude match physical expectation before reporting.

Variables

Name	Type	Required	Trust level
optics_problem		yes

opticswavesphysicschain-of-thought

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Submitted by James P FounderMod via mcp · 2026-07-18