The problem is efficiency. Maxwell's equations are completely linear, so nonlinear optics relies entirely on materials with nonlinear response to optical fields. Unfortunately these responses deviate ...
Introduces ordinary differential equations, systems of linear equations, matrices, determinants, vector spaces, linear transformations, and systems of linear differential equations. Prereq., APPM 1360 ...
When beams of ultra-short laser pulses running in the same direction intersect with each other at a noticeable angle, various interactions occur between the pulses. These physical phenomena are ...
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Tiny vibrations have a massive impact: Transmitting clear signals over long distances using nonlinear math
A team of researchers at Nagoya University has discovered something surprising. If you have two tiny vibrating elements, each one barely moving on its own, and you combine them in the right way, their ...
Grade school math students are likely familiar with teachers admonishing them not to just guess the answer to a problem. But a new proof establishes that, in fact, the right kind of guessing is ...
How is that doubling and not squaring? Is that a domain-specific use of the word doubling that's different from the everyday one? Normally "doubling" would be the function f(x) = 2x. Click to expand..
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