Terahertz to Cycle per second

For decades, electronics could generate frequencies up to ~100 GHz and optics could work down to ~10 THz, but the range between 0.1 and 10 THz was hard to reach from either direction. Electronic oscillators became too slow and lasers too low-energy. Only in the last 20 years have quantum cascade lasers and photoconductive antennas started closing this gap, opening new applications in imaging and spectroscopy.

Active scanners illuminate passengers with millimeter or terahertz waves (typically 0.1–1 THz), which pass through clothing but reflect off skin and dense objects. The reflected signal creates a body outline showing concealed items without ionising radiation. Because terahertz energy is about a million times weaker than an X-ray photon, it cannot break chemical bonds or damage DNA.

No. Terahertz photons carry far less energy than visible light photons and are non-ionising — they cannot knock electrons off atoms or damage DNA. At extremely high power they could heat tissue (like a microwave), but every practical terahertz imaging system operates at power levels thousands of times below any thermal threshold. You are bathed in more terahertz radiation from your own body heat than from an airport scanner.

Red light starts around 430 THz (700 nm wavelength) and violet reaches about 750 THz (400 nm). So the entire rainbow occupies roughly 430–750 THz. Infrared sits below red at 0.3–430 THz, and ultraviolet begins above violet at 750+ THz. When someone says "terahertz imaging," they mean the far-infrared end below about 10 THz — well below anything your eyes can detect.

For some applications, yes. Terahertz imaging can distinguish cancerous from healthy tissue based on water-content differences, and it does so without ionising radiation. It is already used experimentally during skin and breast cancer surgery to check tumor margins in real time. The limitation is penetration depth: terahertz waves are absorbed by water within millimeters, so they cannot image deep organs the way X-rays or MRI can.

The General Conference on Weights and Measures wanted consistent named units honoring key physicists, paralleling the watt, volt, and ampere. "Cycles per second" was descriptive but wordy, and it didn't follow the pattern of one-word unit names. Heinrich Hertz — who proved electromagnetic waves exist — was the obvious namesake. The swap was official from 1960, though many engineers kept saying "cps" well into the 1970s.

In some vintage audio and ham radio communities, "cps" persists as nostalgic shorthand. More practically, it survives in teaching contexts where making the physical meaning explicit is helpful — telling a student that 440 cps means "440 complete vibrations each second" is more intuitive than "440 Hz" until they have internalised the unit. Officially, though, every standards body has switched to hertz.

Because people searching for "cycles per second to hertz" are usually reading an old textbook or datasheet that uses cps and want confirmation that it is a 1:1 equivalence — no multiplication needed. The conversion factor is exactly 1, but verifying that still saves someone a trip to the library or a forum post.

A 1950s oscilloscope might list its bandwidth as "DC to 5,000,000 cps." A radio receiver would specify "tuning range: 540 to 1,600 kc/s" (kilocycles per second). Turntable specs read "wow and flutter: 0.15% at 33⅓ cps." After 1960, "kc/s" became "kHz" and "Mc/s" became "MHz," but the underlying numbers stayed identical.

One cycle is one full oscillation — from peak to peak. One radian is about 1/6.28 of a full circle. So 1 cycle per second = 2π radians per second ≈ 6.283 rad/s. Engineers use radians per second in equations where angular measure matters (torque, rotational inertia), and cycles per second (hertz) when counting whole oscillations. Forgetting the 2π factor is one of the most common mistakes in physics homework.