{"id":26046619,"url":"https://github.com/ratwolfzero/3d_wave","last_synced_at":"2025-03-07T21:11:48.282Z","repository":{"id":277664347,"uuid":"933141421","full_name":"ratwolfzero/3D_Wave","owner":"ratwolfzero","description":"3D Wave Propagation Visualization in Python using Plotly","archived":false,"fork":false,"pushed_at":"2025-03-04T04:26:58.000Z","size":578,"stargazers_count":0,"open_issues_count":0,"forks_count":0,"subscribers_count":1,"default_branch":"main","last_synced_at":"2025-03-04T04:28:09.779Z","etag":null,"topics":["3d-wave-propagation","isosurface-plot","scientific-visualization-wavefront-animation","time-dependent-wave","wave-simulation"],"latest_commit_sha":null,"homepage":"https://github.com/ratwolfzero/3D_Wave","language":"Python","has_issues":true,"has_wiki":null,"has_pages":null,"mirror_url":null,"source_name":null,"license":"mit","status":null,"scm":"git","pull_requests_enabled":true,"icon_url":"https://github.com/ratwolfzero.png","metadata":{"files":{"readme":"README.md","changelog":null,"contributing":null,"funding":null,"license":"LICENSE","code_of_conduct":null,"threat_model":null,"audit":null,"citation":null,"codeowners":null,"security":null,"support":null,"governance":null,"roadmap":null,"authors":null,"dei":null,"publiccode":null,"codemeta":null}},"created_at":"2025-02-15T08:43:31.000Z","updated_at":"2025-03-04T04:27:01.000Z","dependencies_parsed_at":"2025-02-15T09:27:08.322Z","dependency_job_id":"69d3315a-ffbf-4a2a-8d83-98edf7745de1","html_url":"https://github.com/ratwolfzero/3D_Wave","commit_stats":null,"previous_names":["ratwolfzero/3d_wave"],"tags_count":0,"template":false,"template_full_name":null,"repository_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/ratwolfzero%2F3D_Wave","tags_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/ratwolfzero%2F3D_Wave/tags","releases_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/ratwolfzero%2F3D_Wave/releases","manifests_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/ratwolfzero%2F3D_Wave/manifests","owner_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/owners/ratwolfzero","download_url":"https://codeload.github.com/ratwolfzero/3D_Wave/tar.gz/refs/heads/main","host":{"name":"GitHub","url":"https://github.com","kind":"github","repositories_count":242461458,"owners_count":20131984,"icon_url":"https://github.com/github.png","version":null,"created_at":"2022-05-30T11:31:42.601Z","updated_at":"2022-07-04T15:15:14.044Z","host_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub","repositories_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories","repository_names_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repository_names","owners_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/owners"}},"keywords":["3d-wave-propagation","isosurface-plot","scientific-visualization-wavefront-animation","time-dependent-wave","wave-simulation"],"created_at":"2025-03-07T21:11:47.605Z","updated_at":"2025-03-07T21:11:48.276Z","avatar_url":"https://github.com/ratwolfzero.png","language":"Python","readme":"# **What This Visualization Represents**  \n\n## **3D Wave Propagation in Space and Time**  \n\nThis animation visualizes a **propagating plane wave** in three-dimensional space. The wave follows the form of a **harmonic solution to the wave equation**, resembling oscillatory behavior found in acoustics, electromagnetism, and fluid dynamics.  \n\nImagine a ripple on water, but extended into **three dimensions**, evolving dynamically as time progresses. The animation captures the **changing wavefront** and how its amplitude varies in space.  \n\n![3D_Wave](3D_Wave.png)  \n\n### **Key Features**  \n\n**Wave Type:**  \n\n- This is a **harmonic plane wave** moving through space, defined by the function:\n  \n$$\n\\large\n\\Psi(x, y, z, t) = \\sin(k_x x + k_y y + k_z z - \\omega t)\n\\large\n$$\n\n- This behavior is typical in **acoustic waves, electromagnetic waves, and other physical wave phenomena**.  \n\n**Wave Vector and Wavenumber \\( k \\):**  \n\n- The **wave vector** $$\\mathbf{k} = (k_x, k_y, k_z)$$ determines the **direction** of wave propagation.  \n- The **wavenumber** \\( k \\) represents the **spatial frequency** of the wave—how many oscillations fit into a given distance.  \n- It's related to the wavelength by $$k = \\frac{2\\pi}{\\lambda}$$, meaning a **larger** \\( k \\) results in **shorter wavelengths**.  \n\n**3D Wave Structure:**  \n\n- The wave exists in a **three-dimensional space**, defined by the **X, Y, and Z axes**.  \n- **Isosurfaces** represent regions of constant wave amplitude, similar to contour lines on a topographic map but extended into 3D.  \n\n**Time Evolution:**  \n\n- Time acts as the **fourth dimension**, represented through animation.  \n- Each frame corresponds to a **specific time step**, showing how the wavefront moves and deforms over time.  \n\nThis visualization offers an intuitive look at **wave behavior in 3D space**, making abstract wave mechanics more accessible and visually engaging.  \n","funding_links":[],"categories":[],"sub_categories":[],"project_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Fratwolfzero%2F3d_wave","html_url":"https://awesome.ecosyste.ms/projects/github.com%2Fratwolfzero%2F3d_wave","lists_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Fratwolfzero%2F3d_wave/lists"}