NRL_FORMULARY_07

NRL_FORMULARY_07 - 2007 NRL PLASMA FORMULARY J.D Huba Beam...

Info iconThis preview shows pages 1–4. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 2007 NRL PLASMA FORMULARY J.D. Huba Beam Physics Branch Plasma Physics Division Naval Research Laboratory Washington, DC 20375 Supported by The Office of Naval Research 1 CONTENTS Numerical and Algebraic . . . . . . . . . . . . . . . . . . . . . 3 Vector Identities . . . . . . . . . . . . . . . . . . . . . . . . . 4 Differential Operators in Curvilinear Coordinates . . . . . . . . . . . 6 Dimensions and Units . . . . . . . . . . . . . . . . . . . . . . . 10 International System (SI) Nomenclature . . . . . . . . . . . . . . . 13 Metric Prefixes . . . . . . . . . . . . . . . . . . . . . . . . . . 13 Physical Constants (SI) . . . . . . . . . . . . . . . . . . . . . . 14 Physical Constants (cgs) . . . . . . . . . . . . . . . . . . . . . 16 Formula Conversion . . . . . . . . . . . . . . . . . . . . . . . 18 Maxwell’s Equations . . . . . . . . . . . . . . . . . . . . . . . 19 Electricity and Magnetism . . . . . . . . . . . . . . . . . . . . . 20 Electromagnetic Frequency/Wavelength Bands . . . . . . . . . . . . 21 AC Circuits . . . . . . . . . . . . . . . . . . . . . . . . . . . 22 Dimensionless Numbers of Fluid Mechanics . . . . . . . . . . . . . 23 Shocks . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 26 Fundamental Plasma Parameters . . . . . . . . . . . . . . . . . . 28 Plasma Dispersion Function . . . . . . . . . . . . . . . . . . . . 30 Collisions and Transport . . . . . . . . . . . . . . . . . . . . . 31 Approximate Magnitudes in Some Typical Plasmas . . . . . . . . . . 40 Ionospheric Parameters . . . . . . . . . . . . . . . . . . . . . . 42 Solar Physics Parameters . . . . . . . . . . . . . . . . . . . . . 43 Thermonuclear Fusion . . . . . . . . . . . . . . . . . . . . . . 44 Relativistic Electron Beams . . . . . . . . . . . . . . . . . . . . 46 Beam Instabilities . . . . . . . . . . . . . . . . . . . . . . . . 48 Lasers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 51 Atomic Physics and Radiation . . . . . . . . . . . . . . . . . . . 53 Atomic Spectroscopy . . . . . . . . . . . . . . . . . . . . . . . 59 Complex (Dusty) Plasmas . . . . . . . . . . . . . . . . . . . . . 62 References . . . . . . . . . . . . . . . . . . . . . . . . . . . . 66 Afterword . . . . . . . . . . . . . . . . . . . . . . . . . . . . 71 2 NUMERICAL AND ALGEBRAIC Gain in decibels of P 2 relative to P 1 G = 10 log 10 ( P 2 /P 1 ) . To within two percent (2 π ) 1 / 2 ≈ 2 . 5; π 2 ≈ 10; e 3 ≈ 20; 2 10 ≈ 10 3 . Euler-Mascheroni constant 1 γ = 0 . 57722 Gamma Function Γ( x + 1) = x Γ( x ): Γ(1 / 6) = 5.5663 Γ(3 / 5) = 1.4892 Γ(1 / 5) = 4.5908 Γ(2 / 3) = 1.3541 Γ(1 / 4) = 3.6256 Γ(3 / 4) = 1.2254 Γ(1 / 3) = 2.6789 Γ(4 / 5) = 1.1642 Γ(2 / 5) = 2.2182 Γ(5 / 6) = 1.1288 Γ(1 / 2) = 1 . 7725 = √ π Γ(1) = 1.0 Binomial Theorem (good for | x | < 1 or α = positive integer): (1 + x ) α = ∞ summationdisplay k =0 ( α k ) x k ≡ 1 + αx + α ( α − 1) 2!...
View Full Document

This document was uploaded on 10/18/2011.

Page1 / 71

NRL_FORMULARY_07 - 2007 NRL PLASMA FORMULARY J.D Huba Beam...

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online