From superposition to imaging, with the interference, diffraction, and optics tools behind exam problems
4 sections · 10 lessons
Define waves as superposed disturbances, then build the standard sinusoidal language of amplitude, wavelength, frequency, period, wave number, angular frequency, and wave speed.
2 lessonsApply superposition and geometry to two-source interference, double-slit fringes, single-slit diffraction, and diffraction gratings, with the exam formulas that locate maxima, minima, and resolving limits.
4 lessonsDerive standing waves from boundary conditions, then explain reflection, refraction, refractive index, and Snell’s law in the wave picture.
2 lessonsConstruct images with the paraxial ray model for mirrors and lenses, then connect diffraction to the resolution limits of imaging systems.
2 lessonsWaves begin as disturbances that add, and this course builds that idea into the machinery used to solve core optics problems. It develops the wave descriptions, interference patterns, standing waves, reflection and refraction, then connects ray optics for mirrors and lenses with the wave limits that control image resolution. The result is a practical map of the formulas, sign conventions, and physical ideas behind standard exam questions in waves and optics.
Wave parameters, speed relations, superposition, interference from coherent sources, double-slit fringes, diffraction and grating patterns, standing waves, reflection, refraction, Snell’s law, ray construction for mirrors and lenses, and diffraction-limited imaging.
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Something to operate in every section.
Three findings from decades of learning research shaped how every Fenzo lesson is built.
Average pass rate · Freeman et al., PNAS 2014
What the science says
Students in lecture-only classes are 1.5× more likely to fail.
How Fenzo does it
Every Fenzo lesson is interactive. No passive reading or watching, ever.
You work through itAI does it for you
Skill retention over time · with vs. without practice
What the science says
Offloading thinking to AI erodes the very skills you’re trying to build.
How Fenzo does it
Fenzo makes you do the thinking — guided, but never done for you.
Retrieval practiceRe-reading
Long-term recall · retrieval vs. re-reading
What the science says
Recalling information beats re-reading it for building durable understanding.
How Fenzo does it
Lessons weave in quizzes and recall prompts, so it sticks.