80 lines
4.4 KiB
JavaScript
80 lines
4.4 KiB
JavaScript
MathJax.Hub.Config({
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TeX: {
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Macros: {
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// Abs: ['\\left\\lvert #2 \\right\\rvert_{\\text{#1}}', 2, ""] // optional arg. example
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// from https://stackoverflow.com/questions/24628668/how-to-define-custom-macros-in-mathjax
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vect: ["{\\mathbf{#1}}",1],
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abs: ["{\\left|{#1}\\right|}",1],
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ud: "{\\mathrm{d}}",
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pr: ["{\\left({#1}\\right)}", 1], // parentheses to save typing
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uvec: ["{\\mathbf{\\hat{#1}}}", 1],
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vsh: "{\\mathbf{A}}", // vector spherical harmonic, general
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vshD: "\\mathbf{A}^\\dagger", // dual vector spherical harmonic, general
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vshrad: "{\\mathbf{A}_3}", // vector spherical harmonic radial, general
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vshrot: "{\\mathbf{A}_1}", // vector spherical harmonic "rotational", general
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vshgrad: "{\\mathbf{A}_2}", // vector spherical harmonic "gradiental", general
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vshradD: "{\\mathbf{A}_3}^\\dagger}", // dual vector spherical harmonic radial, general
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vshrotD: "{\\mathbf{A}_1^\\dagger}", // dual vector spherical harmonic "rotational", general
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vshgradD: "{\\mathbf{A}_2^\\dagger}", // dual vector spherical harmonic "gradiental", general
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wfe: "{\\mathbf{N}}", // Electric wave general
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wfm: "{\\mathbf{M}}", // Magnetic wave general
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sphbes: "{z}", // General spherical Bessel fun
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rawLeg: ["{\\mathfrak{P}_{#1}^{#2}}", 2], // "Canonical" associated Legendre polynomial without C.S. phase
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rawFer: ["\\rawLeg{#1}{#2}", 2], // "Canonical" associated Legendre polynomial without C.S. phase
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dlmfLeg: ["{P_{#1}^{#2}}", 2], // Associated Legendre function as in DLMF (14.3.6)
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dlmfFer: ["{\\mathsf{P}_{#1}^{#2}}", 2], // Ferrers Function as in DLMF (14.3.1)
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dlmfYc: ["{Y_{{#1},{#2}}}", 2], // Complex spherical harmonics as in DLMF (14.30.1)
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dlmfYrUnnorm: ["{Y_{#1}^{#2}}", 2], // Real spherical harmonics as in DLMF (14.30.2)
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Fer: ["{{P_{\\mathrm{#1}}}_{#2}^{#3}}", 3, ""], // Legendre / Ferrers function
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spharm: ["{{Y_{\\mathrm{#1}}}_{#2}^{#3}}", 3, ""], // Spherical harmonics
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spharmR: ["{{Y_{\\mathrm{#1}}}_{\\mathrm{#1}{#2}{#3}}", 4, ""], // Spherical harmonics
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csphase: "\\mathsf{C_{CS}}", // Condon-Shortley phase
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tropS: "{\\mathcal{S}}", // Translation operator singular
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tropR: "{\\mathcal{R}}", // Translation operator regular
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tropSr: ["{{\\mathcal{S}^\\mathrm{#1}}\\pr{{#2}}}", 2, ""], // Translation operator singular
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tropRr: ["{{\\mathcal{R}^\\mathrm{#1}}\\pr{{#2}}}", 2, ""], // Translation operator regular
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tropSrr: ["{{\\mathcal{S}^\\mathrm{#1}}\\pr{{#2} \\leftarrow {#3}}}", 3, ""], // Translation operator singular
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tropRrr: ["{{\\mathcal{R}^\\mathrm{#1}}\\pr{{#2} \\leftarrow {#3}}}", 3, ""], // Translation operator regular
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sswfout: "{\\psi}", // outgoing SSWF
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sswfreg: "{\\phi}", // regular SSWF
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// Kristensson's VSWFs, complex version (2014 notes)
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wfkc: "{\\vect{y}}", // any wave
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wfkcreg: "{\\vect{v}}", // regular wave
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wfkcout: "{\\vect{u}}", // outgoing wave
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wckcreg: "{a}", // regular wave coeff
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wckcout: "{f}", // outgoing wave coeff
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// Kristensson's VSWFs, real version (2014 book)
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wfkr: "{\\vect{y}_{\\mathrm{r}}}", // any wave
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wfkrreg: "{\\vect{v}_{\\mathrm{r}}}", // regular wave
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wfkrout: "{\\vect{u}_{\\mathrm{r}}}", // outgoing wave
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wckrreg: "{a}", // regular wave coeff
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wckrout: "{f}", // outgoing wave coeff
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// Taylor's VSWFs
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wfmt: "{\\widetilde{\\vect{M}}}",
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wfet: "{\\widetilde{\\vect{N}}}",
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wfmtreg: "{\\widetilde{\\vect{M}}^{(1)}}", // regular magnetic wave
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wfetreg: "{\\widetilde{\\vect{N}}^{(1)}}", // regular electric wave
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wfmtout: "{\\widetilde{\\vect{M}}^{(3)}}", // outgoing magnetic wave
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wfetout: "{\\widetilde{\\vect{N}}^{(3)}}", // outgoing electric wave
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wcmtreg: "{q}", // regular magnetic wave coeff
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wcetreg: "{p}", // regular electric wave coeff
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wcmtout: "{b}", // outgoing magnetic wave coeff
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wcetout: "{a}", // outgoing electric wave coeff
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// Reid's VSWFs
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wfr: "\\mathbf{\\mathcal{W}}",
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wfrreg: "\\mathbf{\\mathcal{W}}^{\\mathrm{reg}}", // regular wave
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wfrout: "\\mathbf{\\mathcal{W}}^{\\mathrm{out}}", // outgoing wave
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wcrreg: "C^\\mathrm{inc}", // regular wave coeff
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wcrout: "C^\\mathrm{scat}", // outgoing wave coeff
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}
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}
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});
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