The physics of light, lenses, and waves — explained from first principles
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The science of light

The science of light and optics, taught from first principles.

A growing library on physics optics — ray tracing, wave behavior, quantum phenomena, and the instruments that bend light to our will. Written for students, teachers, and the merely curious.

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Convex lens ray diagram: parallel rays brought to a focusFive rays arrive parallel to the principal axis and pass through a converging lens. Each is refracted toward the axis and they all meet at the focal point on the far side, then continue on and spread apart again beyond it.Fparallelraysconvex lensfocal point

How optics is explained here

First-principles

Every article derives the math from scratch — no hand-waving past the interesting bits.

Ray + wave + photon

Three lenses on the same phenomena. Pick the level of abstraction you need.

Numerical worked examples

Calculations you can plug into your own derivations or test in the lab.

Diagrams drawn from the physics

Every figure is constructed from the equation it illustrates, not sketched to look about right.

Recent articles

What we've published lately.

What Is the Opposite of a Telescope? 5 Surprising Facts
Telescopes

What Is the Opposite of a Telescope? 5 Surprising Facts

The opposite of a telescope depends on which meaning you use. As an optical instrument, the opposite of a telescope is a microscope — one makes distant things appear near, the other makes tiny things appear large. As a verb meaning to compress, the opposite is expand, extend, or unfold. This guide covers all the meanings, the physics behind the opposites, and fun trivia about these remarkable instruments.

Jun 24, 2026·Umar Farooq
Essential Optical Instruments: 7 Powerful Types & Examples
Telescopes & Instruments

Essential Optical Instruments: 7 Powerful Types & Examples

Optical instruments are devices that process light waves to either enhance an image for viewing or analyse light to determine its characteristic properties. Common examples include telescopes, microscopes, cameras, binoculars, periscopes, spectrometers, photometers, and refractometers. This guide covers the two main categories — image enhancement instruments and optical measuring instruments — with how each works and where you see them.

Jun 24, 2026·Umar Farooq
Why Stars Twinkle But Planets Don't: 4 Simple Reasons
Stars Twinkle

Why Stars Twinkle But Planets Don't: 4 Simple Reasons

Stars twinkle because they are point sources — their light passes through turbulent atmosphere and scatters. Planets appear as tiny discs, so the fluctuations average out. Here are 4 simple reasons why stars twinkle but planets don't.

Jun 24, 2026·Umar Farooq
Why Do Stars Twinkle? (Atmospheric Scintillation Explained)
Stars Twinkle

Why Do Stars Twinkle? (Atmospheric Scintillation Explained)

Stars twinkle because their light passes through Earth's turbulent atmosphere, which bends and distorts the beam before it reaches your eyes. The scientific name is atmospheric scintillation, and it explains why some stars sparkle more than others — and why planets stay steady.

Jun 24, 2026·Umar Farooq
What Causes a Double Rainbow? 3 Stunning Physics Facts
Rainbows

What Causes a Double Rainbow? 3 Stunning Physics Facts

What causes a double rainbow? Two internal reflections inside raindrops create a second, fainter arc above the primary bow, with colours reversed. This guide covers the physics, angles, why the secondary bow is dimmer, and the dark band between them.

Jun 24, 2026·Umar Farooq
7 Rare Types of Rainbows You Must See (Supernumerary & More)
Rainbows

7 Rare Types of Rainbows You Must See (Supernumerary & More)

Most people know the standard rainbow, but nature produces far rarer types — supernumerary, twinned, triple, multiple, fogbows and more. This guide covers the rare types of rainbows, what causes each one, and where to spot them.

Jun 24, 2026·Umar Farooq
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