Of our states with quantum groups and quantum calculus are discussed. ![]() Qutrits, ququats and in general, qudit units of quantum information. Generated for an arbitrary $n$ by the Quantum Fourier transform and can provide Normalization formulaįor these states requires introduction of specific combinations of exponentialįunctions with mod 3 and mod 4 symmetry. Kaleidoscopes work by reflecting light in at least two angled mirrors to form symmetrical patterns. States and the quartet states are described in details. In a well-made mirror system, there is a seamless continuity of the image sections, with the images matching up perfectly along the edge of each pie-shaped piece. Hydrodynamics images in a wedge domain, described by $q$-calculus of analyticįunctions with $q$ as a primitive root of unity. The symmetry of a kaleidoscope image is a measure of how accurately the original interior image is reflected around the kaleidoscope interior. This quantum kaleidoscope is motivated by our method of classical Feel free to check out the repo and have a play with making an image into a kaleidoscope. The image must be square (or cropped square - not included). Finally resize by 50 back to the input size. ![]() Then flip that vertically and concatenate vertically. Then flip it horizontally and concatenate horizontally. They were also able to introduce the elliptical polarization into the design of the new vector fields, which Pan said could help to further control the design and generation of kaleidoscope-structured vector optical fields.Īuthor Hui-Tian Wang, leader of the group, said they plan to study a theory that can accurately predict and manipulate the symmetry properties of tightly focused optical fields, propose new kinds of vector optical fields with novel orbital angular momentum, and further study the spin-orbital angular momentum conversion and coupling.Download a PDF of the paper titled Kaleidoscope of Classical Images and Quantum Coherent States, by Oktay K Pashaev and Ayg\"ul Ko\cak Download PDF Abstract: The Schrödinger cat states, constructed from Glauber coherent states andĪpplied for description of qubits are generalized to the kaleidoscope ofĬoherent states, related with regular n-polygon symmetry and the roots of I thought it sounded like a fun little project, so I implemented a kaleidoscope generator using numpy, with an interactive GUI for playing with different settings thrown together with opencvs highgui functionality. One merges the image with its transpose using a diagonal bi-tonal mask. We first propose the kaleidoscope-structured vector optical fields with arbitrary symmetry, and gain spin angular momentum and energy flow with good properties and applications."īy implementing multiple mirror symmetry axes into the design, they were able to create tightly focused fields in various useful shapes, including a subwavelength flattop sharp line that can be used in optical storage and lithography, and various cross, gear and hexagon shapes with tentacles and spanners that are useful for optical trapping. "However, no research has systematically studied the arbitrary symmetry properties of the original vector optical fields and spin angular momentum and energy flow in the focal plane. "Mirror symmetry already exists in vector optical fields," author Yue Pan said. That new parameter, which offers an additional degree of freedom, is scheduled into the transmission function on a holographic grating in a spatial light modulator to generate new vector optical fields. Ive seen a few other mandala makers on here, but as far as I can tell, this is the only one that works on a. In the paper, published in APL Photonics, the researchers start with a cylindrical vector optical field and introduce a kaleidoscope structure to the polarization states by assigning a parameter for mirror-symmetric axes. Hey guys, I made a plugin that will convert any selected area of an image into a mandala (radial symmetry based on some slice of the largest possible circle that can fit in the selection). ![]() Many of them use mirror symmetry in their polarization states and focal manipulation. ![]() Drawing inspiration from this multiple-axis symmetry, researchers have discovered a new method for creating mirror-symmetric axes in the polarizations of light, which allows for complex manipulations that are useful in optical tools and technologies.įor example, optical machining, photodetectors, optical cages and microscopy are all tools that rely on vector optical fields of varying degrees of complexity.
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