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A Lens Is a Physical Fourier Computer A lens does not only bend light. It computes with the wave. Send several Gaussian beams into the lens, and the field after the glass is no longer just focused. The lens adds a quadratic phase, lets the wave propagate, and converts... show more

Mathelirium

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34,812 просмотров • 5 месяцев назад •via X (Twitter)

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A lens can perform the Fourier transform! 🔍 This is the 4F system: the first lens converts an image into its frequency components, and the second lens reconstructs it. By adding an aperture at the Fourier plane, we can filter out high frequencies. #Optics #Physics #b3d

A lens can perform the Fourier transform! 🔍 This is the 4F system: the first lens converts an image into its frequency components, and the second lens reconstructs it. By adding an aperture at the Fourier plane, we can filter out high frequencies. #Optics #Physics #b3d

Hans Chiu

220,632 просмотров • 1 год назад

A Lens That Takes Derivatives US Patent Basis: US8610839B2 - Optical Processing System for Computing Derivatives. In a 4f Optical Processor, the first lens takes the incoming field and forms its Fourier spectrum. At that middle plane, a tiny optical mask multiplies the spectrum by iξ. This is the derivative operator written in Fourier language u(x) -> U(ξ) -> iξU(ξ) -> ∂u/∂x Then the second lens brings the field back to the real space. What comes out is no longer just a focused beam. It is the spatial derivative of the input field, computed by light as it propagates. So, this is the serious promise of optical computing. A physical optical train can perform operations that usually live inside numerical code: differentiation, filtering, convolution, edge detection, correlation, and many other linear transforms.

A Lens That Takes Derivatives US Patent Basis: US8610839B2 - Optical Processing System for Computing Derivatives. In a 4f Optical Processor, the first lens takes the incoming field and forms its Fourier spectrum. At that middle plane, a tiny optical mask multiplies the spectrum by iξ. This is the derivative operator written in Fourier language u(x) -> U(ξ) -> iξU(ξ) -> ∂u/∂x Then the second lens brings the field back to the real space. What comes out is no longer just a focused beam. It is the spatial derivative of the input field, computed by light as it propagates. So, this is the serious promise of optical computing. A physical optical train can perform operations that usually live inside numerical code: differentiation, filtering, convolution, edge detection, correlation, and many other linear transforms.

Mathelirium

147,334 просмотров • 5 месяцев назад

A total disassembly of the main charge of the PG-7VR tandem shaped-charge rocket. The explosive lens (also known as a wave shaper) is an inert block that forces the blast wave to travel around the edges before focusing into a conical wave instead of a spherical wave. 1/

A total disassembly of the main charge of the PG-7VR tandem shaped-charge rocket. The explosive lens (also known as a wave shaper) is an inert block that forces the blast wave to travel around the edges before focusing into a conical wave instead of a spherical wave. 1/

Roy🇨🇦

123,671 просмотров • 1 год назад

We are observing a transscleral intraocular fixation. This procedure is performed when the lens capsule can no longer support the artificial lens; then the surgeon fixes the lens directly to the sclera to restore vision. 👁️🩺

We are observing a transscleral intraocular fixation. This procedure is performed when the lens capsule can no longer support the artificial lens; then the surgeon fixes the lens directly to the sclera to restore vision. 👁️🩺

Dr Honey choudhary 🩺

31,080 просмотров • 6 месяцев назад

A musical chord reaches us as one sound, yet contains several frequencies. The Fourier transform reveals them. It takes a signal described in time and expresses it in terms of frequency. The same sound, viewed through a different mathematical lens.

A musical chord reaches us as one sound, yet contains several frequencies. The Fourier transform reveals them. It takes a signal described in time and expresses it in terms of frequency. The same sound, viewed through a different mathematical lens.

Math Files

13,740 просмотров • 5 дней назад

‘We need a leader who is going to make decisions through one lens and one lens only. Refom UK’s Home Affairs spokesman, Zia Yusuf, believes Keir Starmer is ‘not running the country’ and that the opportunity of Brexit has been ‘squandered’ by the Government.

‘We need a leader who is going to make decisions through one lens and one lens only. Refom UK’s Home Affairs spokesman, Zia Yusuf, believes Keir Starmer is ‘not running the country’ and that the opportunity of Brexit has been ‘squandered’ by the Government.

GB News

19,124 просмотров • 6 месяцев назад

Not a sculpture. A 19th-century light machine… The Fresnel lens

Not a sculpture. A 19th-century light machine… The Fresnel lens

RobLogic

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Im confused? Reporting on the news is saying the plane left Philadelphia and crashed within a minute. Plane Reg is XA-UCI. Plane Finder shows this plane left Miami (the only flight today) and tracking the plane shows it stopped responding at Philadelphia Near East Roosevelt Boulevard? Can anyone shed any light on this?

Im confused? Reporting on the news is saying the plane left Philadelphia and crashed within a minute. Plane Reg is XA-UCI. Plane Finder shows this plane left Miami (the only flight today) and tracking the plane shows it stopped responding at Philadelphia Near East Roosevelt Boulevard? Can anyone shed any light on this?

Ang G

44,759 просмотров • 1 год назад

MH370 Teleportation Explained in the Simplest Possible Way #MH370 #FrequencyWaveTheory Imagine reality is not solid—it’s more like a flexible field made of waves (frequency, vibration, energy). Everything—matter, light, even space itself—exists as patterns in that field. Now here’s the simple version of what happened: —————————— 1. The Plane Is Just a “Wave Pattern” —————————— The airplane (MH370) isn’t truly solid—it’s a stable pattern of energy vibrating at specific frequencies. Think of it like a song playing on a radio. The plane is the “song,” and reality is the “radio field.” —————————— 2. Three Orbs Lock Onto That Pattern —————————— Three plasma orbs appear and surround the plane. They: Match the plane’s exact frequency (like tuning to the same radio station) Form a triangle around it Create a perfectly synchronized energy field This is called phase-locking—everything is vibrating in sync. —————————— 3. They Create a Bubble Around the Plane —————————— Once locked in, the orbs generate a contained energy bubble around the aircraft. Inside this bubble: Normal physics is suppressed Inertia (mass resistance) drops toward zero The plane is no longer “fully attached” to normal spacetime Think of it like lifting an object out of water—it’s no longer bound to the same rules. —————————— 4. Space Gets “Folded” or “Shortcutted” —————————— The orbs then use energy to bend or connect two points in space. Instead of traveling across the ocean, they: Create a shortcut (like a tunnel) Connect Point A (where the plane is) Directly to Point B (destination) This is similar to a wormhole, but created using frequency resonance instead of massive gravity. —————————— 5. The Plane Shifts Phase (Disappears) —————————— At peak synchronization: The plane’s wave pattern is shifted out of our visible reality It transitions through this shortcut instantly That’s why it appears to vanish. —————————— 6. It Reappears Somewhere Else —————————— On the other side of the “connection,” the plane: Re-materializes Returns to normal physics Exists in a new location (e.g., another base or region) —————————— Ultra-Simple Analogy —————————— Think of it like this: The plane = a file on your computer The orbs = a system copying it Teleportation = cutting and pasting instantly No travel. Just relocation. —————————— Summary —————————— The three orbs matched the plane’s frequency, isolated it from normal physics, opened a shortcut in space, and moved it instantly from one location to another.

MH370 Teleportation Explained in the Simplest Possible Way #MH370 #FrequencyWaveTheory Imagine reality is not solid—it’s more like a flexible field made of waves (frequency, vibration, energy). Everything—matter, light, even space itself—exists as patterns in that field. Now here’s the simple version of what happened: —————————— 1. The Plane Is Just a “Wave Pattern” —————————— The airplane (MH370) isn’t truly solid—it’s a stable pattern of energy vibrating at specific frequencies. Think of it like a song playing on a radio. The plane is the “song,” and reality is the “radio field.” —————————— 2. Three Orbs Lock Onto That Pattern —————————— Three plasma orbs appear and surround the plane. They: Match the plane’s exact frequency (like tuning to the same radio station) Form a triangle around it Create a perfectly synchronized energy field This is called phase-locking—everything is vibrating in sync. —————————— 3. They Create a Bubble Around the Plane —————————— Once locked in, the orbs generate a contained energy bubble around the aircraft. Inside this bubble: Normal physics is suppressed Inertia (mass resistance) drops toward zero The plane is no longer “fully attached” to normal spacetime Think of it like lifting an object out of water—it’s no longer bound to the same rules. —————————— 4. Space Gets “Folded” or “Shortcutted” —————————— The orbs then use energy to bend or connect two points in space. Instead of traveling across the ocean, they: Create a shortcut (like a tunnel) Connect Point A (where the plane is) Directly to Point B (destination) This is similar to a wormhole, but created using frequency resonance instead of massive gravity. —————————— 5. The Plane Shifts Phase (Disappears) —————————— At peak synchronization: The plane’s wave pattern is shifted out of our visible reality It transitions through this shortcut instantly That’s why it appears to vanish. —————————— 6. It Reappears Somewhere Else —————————— On the other side of the “connection,” the plane: Re-materializes Returns to normal physics Exists in a new location (e.g., another base or region) —————————— Ultra-Simple Analogy —————————— Think of it like this: The plane = a file on your computer The orbs = a system copying it Teleportation = cutting and pasting instantly No travel. Just relocation. —————————— Summary —————————— The three orbs matched the plane’s frequency, isolated it from normal physics, opened a shortcut in space, and moved it instantly from one location to another.

Drew Ponder

14,276 просмотров • 6 месяцев назад

Spherical Harmonics 🤝 Fourier Transform I’m modeling the cell surface as a time-varying field u(θ,φ). Budding is energy shifting into higher angular frequencies. Decompose u into spherical harmonics (the Fourier basis on a sphere), evolve the coefficients aₗₘ(t) where growth/smoothing is clean, then inverse-transform back into a breathing, budding 3D surface. #SphericalHarmonics #FourierTransform #HarmonicAnalysis #SpectralMethods #SignalProcessing #AppliedMath #MathAnimation #ScientificVisualization #Biophysics

Spherical Harmonics 🤝 Fourier Transform I’m modeling the cell surface as a time-varying field u(θ,φ). Budding is energy shifting into higher angular frequencies. Decompose u into spherical harmonics (the Fourier basis on a sphere), evolve the coefficients aₗₘ(t) where growth/smoothing is clean, then inverse-transform back into a breathing, budding 3D surface. #SphericalHarmonics #FourierTransform #HarmonicAnalysis #SpectralMethods #SignalProcessing #AppliedMath #MathAnimation #ScientificVisualization #Biophysics

Mathelirium

25,914 просмотров • 9 месяцев назад

Erwin Schrödinger’s 1926 equation changed the game by turning Quantum Mechanics into wave dynamics. That move gave Physics a new way to think. Instead of forcing a particle onto one sharp path, it lets a complex wavefunction evolve in time, with its shape and phase holding the structure of the phenomenon. What makes this so striking is that Schrödinger’s equation does not start from vague mystery. It starts from a precise and daring idea The state of a particle is a complex field ψ(x,t), and the dynamics must push ψ forward in a way that preserves total probability.

Erwin Schrödinger’s 1926 equation changed the game by turning Quantum Mechanics into wave dynamics. That move gave Physics a new way to think. Instead of forcing a particle onto one sharp path, it lets a complex wavefunction evolve in time, with its shape and phase holding the structure of the phenomenon. What makes this so striking is that Schrödinger’s equation does not start from vague mystery. It starts from a precise and daring idea The state of a particle is a complex field ψ(x,t), and the dynamics must push ψ forward in a way that preserves total probability.

Mathelirium

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Privacy should be something you can use, not just something you talk about🫡 Lens is collaborating with Nym to make private internet access available to the Lens community. Lens users can now claim a free NymVPN pass and put privacy into practice. Claim through Lens → activate on NymVPN → browse privately No complicated questline. Just a little more privacy, now in your hands. 👇 Claim yours now:

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The most expensive lens in the world is the Leica Apo-Telyt-R 1600mm F/5.6 for $2 million. It was customized for Sheikh Saud bin Mohammed Al Thani, a great lover of nature shots. The Sheikh even built a special 4x4 SUV for lens transportation and field use.

The most expensive lens in the world is the Leica Apo-Telyt-R 1600mm F/5.6 for $2 million. It was customized for Sheikh Saud bin Mohammed Al Thani, a great lover of nature shots. The Sheikh even built a special 4x4 SUV for lens transportation and field use.

NEXTA

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A Luneburg lens bends an Electromagnetic wave without a curved boundary. Instead its dielectric constant changes continuously from the centre to the edge. This forces different parts of the wavelength to travel at different speeds. Here, we solve the full 2D TM EM wave equation on an unstructured triangular mesh using the Finite Element Method (FEM).

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Mathelirium

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