brain wave

noun
1.
Usually, brain waves. Medicine/Medical. electrical potentials or impulses given off by brain tissue. Compare alpha rhythm, beta rhythm, delta rhythm.
2.
Informal. a sudden idea or inspiration; brainstorm.

Origin:
1865–70

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Collins
World English Dictionary
brain wave
 
n
alpha rhythm beta rhythm See also delta rhythm any of the fluctuations of electrical potential in the brain as represented on an electroencephalogram. They vary in frequency from 1 to 30 hertz

Collins English Dictionary - Complete & Unabridged 10th Edition
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American Heritage
Medical Dictionary

brain wave n.
A rhythmic fluctuation of electric potential between parts of the brain, as seen on an electroencephalogram.

The American Heritage® Stedman's Medical Dictionary
Copyright © 2002, 2001, 1995 by Houghton Mifflin Company. Published by Houghton Mifflin Company.
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Example sentences
Visual decoder allows researchers to translate brain wave activity into images.
When your brain wave frequency is lower than during regular waking activity,
  the chemicals produced within your brain are altered.
Our consciousness spans at once the full extent of the region of space-time
  that the brain wave function occupies in the universe.
They say that brain wave activity jumps several days after birth.
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