Difference between revisions of "User:Tohline/Appendix/Ramblings"
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<li>[[User:Tohline/Appendix/Ramblings/Saturn#Saturn|Saturn]]</li> | <li>[[User:Tohline/Appendix/Ramblings/Saturn#Saturn|Saturn]]</li> | ||
<li>[[User:Tohline/Appendix/Ramblings/MyDoctoralStudents|Doctoral students Tohline has advised]] over the years</li> | <li>[[User:Tohline/Appendix/Ramblings/MyDoctoralStudents|Doctoral students Tohline has advised]] over the years</li> | ||
<li>[[User:Tohline/Appendix/Ramblings/ForDurisen|For Richard H. Durisen]]</li> | |||
<li>[[User:Tohline/ThreeDimensionalConfigurations/MeetsCOLLADAandOculusRiftS#Riemann_Meets_COLLADA_.26_Oculus_Rift_S|Riemann Meets COLLADA and Oculus Rift S]]: Example '''(b/a, c/a) = (0.41, 0.385)''' | |||
<ol type="a"> | |||
<li>[[User:Tohline/Appendix/Ramblings/VirtualReality#Virtual_Reality_and_3D_Printing|Virtual Reality and 3D Printing]]</li> | |||
<li>[[User:Tohline/Appendix/Ramblings/OculusRift_S|Success Importing Animated Scene into Oculus Rift S]]</li> | |||
<li>[[User:Tohline/Appendix/Ramblings/RiemannMeetsOculus|Carefully (Re)Build Riemann Type S Ellipsoids Inside Oculus Rift Environment]]</li> | |||
<li>Other Example S-type Riemann Ellipsoids: | |||
<ol type="i"> | |||
<li>[[User:Tohline/Appendix/Ramblings/RiemannB90C333|(b/a, c/a) = (0.90, 0.333)]]</li> | |||
<li>[[User:Tohline/Appendix/Ramblings/RiemannB74C692|(b/a, c/a) = (0.74, 0.692)]]</li> | |||
<li>[[User:Tohline/Appendix/Ramblings/RiemannB28C256|(b/a, c/a) = (0.28, 0.256)]]</li> | |||
</ol> | |||
</li> | |||
</ol> | |||
</li> | |||
<li>[[User:Tohline/Appendix/Ramblings/Bordeaux|Bordeaux University]]</li> | |||
</ol> | </ol> | ||
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==Computer-Generated Holography== | ==Computer-Generated Holography== | ||
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Computer Generated Holgram (Fall 2004)<br />in collaboration with <b>[https://digitalcommons.lsu.edu/gradschool_dissertations/2127/ Richard Muffoletto]</b><br />and others from [https://www.utsouthwestern.edu utsouthwestern.edu] as cited | |||
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<tr><td align="center">[[File:Hologram2004.JPG|400px|Muffoletto's CGH]]</tr> | |||
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<ol type="I" start="0"> | <ol type="I" start="0"> | ||
<li>Lead in …</li> | <li>Lead in …</li> | ||
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<li>Apertures that are Parallel to the Image Screen:</li> | <li>Apertures that are Parallel to the Image Screen:</li> | ||
<ol type="A"> | <ol type="A"> | ||
<li>[[User:Tohline/Appendix/CGH/ParallelApertures| | <li>One-dimensional Aperture | ||
<ol type="1"> | |||
<li> | |||
[[User:Tohline/Appendix/CGH/ParallelApertures|Initial Ideas]] | |||
</li> | |||
<li> | |||
[[User:Tohline/Appendix/CGH/ParallelAperturesConsolidate|Consolidate Expressions]] | |||
</li> | |||
<li> | |||
[[User:Tohline/Appendix/CGH/KAH2001|T. Kreis, P. Aswendt, & R. Höfling (2001)]], Optical Engineering, vol. 40, no. 6, 926 - 933: ''Hologram reconstruction using a digital micromirror device'' | |||
</li> | |||
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<li>[[User:Tohline/Appendix/CGH/ParallelApertures2D|Two-dimensional, Rectangular Aperture]] </li> | <li>[[User:Tohline/Appendix/CGH/ParallelApertures2D|Two-dimensional, Rectangular Aperture]] </li> | ||
<li>[[User:Tohline/Appendix/CGH/ParallelAperturesHolograms|Relevance to Holograms]]</li> | |||
<li>[[User:Tohline/Appendix/CGH/ParallelAperturesWisdom|Caution and Words of Wisdom]]</li> | |||
</ol> | </ol> | ||
<li>Apertures that are Tilted with Respect to the Image Screen:</li> | <li>Apertures that are Tilted with Respect to the Image Screen:</li> | ||
<li>Building Holograms from VRML Files:</li> | <li>Building Holograms from VRML Files:</li> | ||
<li>Embracing COLLADA</li> | <li>[[User:Tohline/Appendix/CGH/ZebraImaging|ZebraImaging and Southwestern Medical Center]]</li> | ||
<li>Embracing COLLADA (2020)</li> | |||
<ol type="A"> | |||
<li>[[User:Tohline/Appendix/CGH/COLLADAprincipal|Principal Illustration]]</li> | |||
<li>[[User:Tohline/Appendix/CGH/COLLADAdemonstration|Demonstration Steps]]</li> | |||
</ol> | |||
<li>Quantum Mechanics</li> | <li>Quantum Mechanics</li> | ||
<ul> | <ul> | ||
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</ol> | </ol> | ||
==Computer Algorithms== | |||
<ol type="1"> | |||
<li>Directory …/fortran/FreeEnergy/EFE: [[User:Tohline/Appendix/ComputerAlgorithms/EFE|README]]</li> | |||
<li>Directory [[User:Tohline/Appendix/ComputerAlgorithms/Riemann|…/numRecipes/EllipticIntegrals/Riemann]]</li> | |||
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<br /> | <br /> | ||
{{LSU_HBook_footer}} | {{LSU_HBook_footer}} |
Revision as of 22:17, 16 June 2020
| Tiled Menu | Tables of Content | Banner Video | Tohline Home Page | |
Ramblings
Sometimes I explore some ideas to a sufficient depth that it seems worthwhile for me to archive the technical derivations even if the idea itself does not immediately produce a publishable result. This page, which has a simple outline layout, provides links to these various pages of technical notes.
- Relationship between HNM82 models and T1 coordinates
- Orthogonal Curvilinear Coordinates
- Playing with the Spherical Wave Equation
- Analyzing Azimuthal Distortions
- Summary for Hadley & Imamura
- Detailed Notes 🎦
- Supplementary database generated by the Hadley & Imamura collaboration
- Large supplementary dataset accumulated by the Hadley & Imamura collaboration
- YouTube videos that supplement simulations of J. W. Woodward, J. E. Tohline, & I. Hachisu (1994)
- Stability Analyses of PP Tori
- Stability Analyses of PP Tori (Part 2)
- Integrals of Motion
- Old discussion
- T3 Coordinates
- Special (quadratic) case: Joel's Derivation vs. Jay's Derivation
- Killing Vector Approach; Jay Call's related Talk page
- Characteristic Vector for T3 Coordinates
- T4 Coordinates (Abandoned by Joel 7/6/2010 because non-orthogonal)
- Marcello's Radiation-Hydro Simulations
- Photosphere of Stably Accreting DWD
- Binary Polytropes
- Initial Effort to Explain Jay Call's Hybrid Scheme in the Context of Zach Byerly's Dissertation
- Exploring the Properties of Radial Oscillations in Pressure-Truncated n = 5 Polytropes
- Instabilities Associated with Equilibrium Sequence Turning Points
- Derivations Related to Ledoux's Variational Principle
- More on Zero-Zero Bipolytropes
- Pt 1: Radial Oscillations of a Zero-Zero-Bipolytrope (Early Flawed Summary)
- Pt 2: Details
- Pt 3: Searching for Additional Eigenvectors
- Pt 4: Good Summary
- Numerically Determined Eigenvectors
- Analyzing Five-One Bipolytropes
- Assessing the Stability of Spherical, BiPolytropic Configurations
- Searching for Analytic EigenVector for (5,1) Bipolytropes
- Discussing Patrick Motl's 2019 Simulations
- Continue Search
- On the Origin of Planetary Nebulae (Investigation Resulting from a July, 2013 Discussion with Kundan Kadam)</lli>
- Looking outward, from Inside a Black Hole
- Radial Dependence of the Strong Nuclear Force
- Dyson (1893a) Part I: Some Details
- Radiation-Hydrodynamics
- Saturn
- Doctoral students Tohline has advised over the years
- For Richard H. Durisen
- Riemann Meets COLLADA and Oculus Rift S: Example (b/a, c/a) = (0.41, 0.385)
- Bordeaux University
Mathematics
- Roots of Cubic Equation
- PP Tori — Also includes cube root of a complex number
- Srivastava's F-Type solution for <math>~n=5</math> polytropes.
- Murphy & Fiedler's Bipolytrope with <math>~(n_c, n_e) = (1,5)</math>
- Analytic Eigenfunctions for Bipolytropes with <math>~(n_c, n_e) = (0, 0)</math> — also involves cube root of a complex number
- Roots of Quartic Equation
- Analytic Eigenfunction for Bipolytropes with <math>~(n_c, n_e) = (0, 0)</math>
- Determine temperature from total pressure
- Singular Sturm-Liouville (eigenvalue) Problem
- Oscillations of PP Tori in the slim torus limit
- Characteristics of unstable eigenvectors in self-gravitating tori
- Approximate Power-Series Expressions
- Fourier Series
- Special Functions & Other Broadly Used Representations
- Spherical Harmonics and Associated Legendre Functions
- Multipole Expansions
- Familiar Expression for the Cylindrical Green's Function Expansion
- Toroidal Functions
- Green's Function in terms of Toroidal Functions
- Compact Cylindrical Green Function
- Toroidal configurations & related coordinate systems — Includes EUREKA! moment; also uses wikitable overflow (scrolling) box
- Toroidal Coordinate Integration Limits <math>~\Leftarrow ~~</math> Includes Table of Example K(k) and E(k) Function Values
- Using Toroidal Coordinates to Determine the Gravitational Potential (Initial Presentation)
- Relationships between Toroidal Functions <math>~\Leftarrow ~~</math> 5 plots of [MF53] data included here
- Confusion Regarding Whipple Formulae
- Pulling It All Together <math>~\Leftarrow ~~</math> 2 additional plots of [MF53] data included here
Computer-Generated Holography
Computer Generated Holgram (Fall 2004) |
- Lead in …
- Apertures that are Parallel to the Image Screen:
- One-dimensional Aperture
- Initial Ideas
- Consolidate Expressions
- T. Kreis, P. Aswendt, & R. Höfling (2001), Optical Engineering, vol. 40, no. 6, 926 - 933: Hologram reconstruction using a digital micromirror device
- Two-dimensional, Rectangular Aperture
- Relevance to Holograms
- Caution and Words of Wisdom
- Apertures that are Tilted with Respect to the Image Screen:
- Building Holograms from VRML Files:
- ZebraImaging and Southwestern Medical Center
- Embracing COLLADA (2020)
- Quantum Mechanics
Computer Algorithms
- Directory …/fortran/FreeEnergy/EFE: README
- Directory …/numRecipes/EllipticIntegrals/Riemann
© 2014 - 2021 by Joel E. Tohline |