The Laser
Simple Explanation
A laser produces light that is coherent (all waves in step), monochromatic (a single precise wavelength), and highly directional β very different from ordinary light sources like light bulbs, which emit a broad, disorganized mix of wavelengths in every direction.
Why Do We Need It?
A laser's precise, concentrated light makes possible everything from barcode scanners and fibre-optic communication to surgery and cutting tools β applications ordinary light simply cannot achieve.
Formula
Photon Energy
E = hf = hc/Ξ»
Light (including laser light) is carried by photons, each with an energy directly proportional to its frequency (or inversely proportional to its wavelength).
- E
- β energy of a single photon, in joules (J)
- h
- β Planck's constant, 6.626Γ10β»Β³β΄ JΒ·s
- f
- β frequency of the light, in hertz (Hz)
- c
- β speed of light, 3Γ10βΈ m/s
- Ξ»
- β wavelength of the light, in metres (m)
When to use it: Whenever the energy carried by a single photon of light (such as laser light of a known wavelength) needs to be found.
Worked Example
Find the photon energy of a helium-neon laser
A common helium-neon (He-Ne) laser emits light at a wavelength of 632.8 nm. Find the energy of each photon.
Why Does This Work?
A laser's light comes from stimulated emission β excited atoms releasing photons of one exact energy (and therefore one exact wavelength) in a coordinated cascade β so E=hc/Ξ» applies directly and precisely, unlike ordinary light sources that mix many different photon energies together.
Real-Life Example
A laser pointer's tight, focused beam
A laser pointer's beam stays narrow and bright even across a large room, unlike a flashlight's beam, which spreads out and dims quickly.
The laser's coherent, directional light stays tightly focused over long distances β a direct consequence of every photon being emitted with the same wavelength and in step with the others.
Practice
A green laser pointer emits light at 532 nm. Find the energy of each photon.
MediumCommon mistake
Forgetting to convert the wavelength from nanometres to metres before substituting into the formula β using 632.8 directly (instead of 632.8Γ10β»βΉ) gives an answer wrong by a factor of a billion.
Quick Review
- E = hf = hc/Ξ» β photon energy.
- Laser light: coherent, monochromatic, highly directional.
- Comes from stimulated emission of one exact photon energy.