Science and myths's video: Hidden dimensions of frequency Fourier transform mathematical

Have you ever looked through a lens and marveled at its ability to bend and focus light? While geometrical optics explains the basic principles, a deeper understanding lies in the fascinating world of Fourier optics. This branch of optics unlocks the secrets of light manipulation using a powerful mathematical tool: the Fourier transform. What is a Fourier Transform? Imagine a complex sound wave, like your favorite song. The Fourier transform acts like a musical decoder, breaking down this wave into its fundamental building blocks – individual notes, each with a specific pitch (frequency). Similarly, for light, the Fourier transform decomposes a light wave into its constituent frequencies, but in this context, we call them spatial frequencies. These spatial frequencies tell us about the sizes and orientations of the features within the light wave. Think of a picture. The finer details correspond to higher spatial frequencies, while broader features like large shapes have lower frequencies. The Fourier transform essentially reveals this hidden code within the light wave. Lenses and the Magic of Fourier Transforms Here's where things get truly captivating. Lenses, those seemingly simple pieces of glass, possess an extraordinary property aligned perfectly with the Fourier transform. Believe it or not, a lens can actually perform the Fourier transform on a light wave! As light travels through a lens, it undergoes a fascinating transformation. The lens effectively calculates the Fourier transform, creating a replica of the wave's spatial frequency distribution at its focal plane. This focal plane becomes the Fourier plane, where we can analyze the light wave's hidden code – its breakdown into fundamental spatial frequencies. The combination of Fourier transforms and optics opens a treasure trove of possibilities. Here are just a few: Image Processing: By placing a mask or filter in the Fourier plane, we can manipulate the light's spatial frequencies. This allows us to perform various image processing tasks like removing noise, sharpening blurry images, or detecting edges – all by controlling specific frequencies of light! Optical Computing: Imagine computers that use light instead of electricity! Fourier optics paves the way for this futuristic concept. By manipulating light waves and their spatial frequencies, we can perform computations at incredible speeds, surpassing the limitations of traditional electronics. Holography: Those captivating holographic images you see on credit cards or museum displays? They're a product of Fourier optics! The creation of holograms relies on the ability to record and reconstruct the complete spatial frequency information of an object using light waves. Optical Communication: The invisible threads of light that carry information across vast distances in fiber optic cables? Fourier optics plays a crucial role in designing and analyzing these communication systems, ensuring efficient transmission of data. I hope you will enjoy this. Thanks for watching. Social accounts link Instagram- https://www.instagram.com/scienceandmyths/ Facebook Page- https://www.facebook.com/ScienceAndMyths/ Hidden dimensions of frequency | Fourier transform का mathematical जादू FAIR-USE COPYRIGHT DISCLAIMER This video is meant for Educational/Inspirational purpose only. We do not own any copyrights, all the rights go to their respective owners. The sole purpose of this video is to inspire, empower and educate the viewers. _transform