Computational Nanophotonics

Appendix C:Symbols and Formulas

C.1 Greek Alphabet

Uppercase	Lowercase	Name
Α	α	Alpha
Β	β	Beta
Γ	γ	Gamma
Δ	δ	Delta
Ε	ε	Epsilon
Ζ	ζ	Zeta
Η	η	Eta
Θ	θ, ϑ	Theta
Ι	ι	Iota
Κ	κ	Kappa
Λ	λ	Lambda
Μ	μ	Mu
Ν	ν	Nu
Ξ	ξ	Xi
Ο	ο	Omicron
Π	π	Pi
Ρ	ρ	Rho
Σ	σ	Sigma
Τ	τ	Tau
Υ	υ	Upsilon
Φ	Φ, φ	Phi
Χ	χ	Chi
Ψ	ψ	Psi
Ω	ω	Omega

C.2 International System of Units (SI) Prefixes

C.3 Trigonometric Identities

$\mathrm{\hspace{0.17em}cot}\text{\hspace{0.17em}θ\hspace{0.17em}=}\frac{1}{\mathrm{\hspace{0.17em}tan}\text{\hspace{0.17em}θ\hspace{0.17em}}},\mathrm{\hspace{0.17em}sec}\text{\hspace{0.17em}θ\hspace{0.17em}}=\frac{1}{\mathrm{\hspace{0.17em}cos\hspace{0.17em}}\text{\hspace{0.17em}θ\hspace{0.17em}}},\mathrm{\hspace{0.17em}cosec\hspace{0.17em}\theta \hspace{0.17em}}=\frac{1}{\mathrm{\hspace{0.17em}sin\hspace{0.17em}}\text{\hspace{0.17em}θ\hspace{0.17em}}}$

$\begin{array}{cc}\mathrm{\hspace{0.17em}tan}\text{\hspace{0.17em}θ\hspace{0.17em}}=\frac{\mathrm{\hspace{0.17em}sin\hspace{0.17em}}\text{\hspace{0.17em}θ\hspace{0.17em}}}{\mathrm{\hspace{0.17em}cos\hspace{0.17em}}\text{\hspace{0.17em}θ\hspace{0.17em}}},& \mathrm{\hspace{0.17em}cot}\text{\hspace{0.17em}θ\hspace{0.17em}=\hspace{0.17em}}\frac{\mathrm{\hspace{0.17em}cos\hspace{0.17em}}\text{\hspace{0.17em}θ\hspace{0.17em}}}{\mathrm{\hspace{0.17em}sin\hspace{0.17em}}\text{\hspace{0.17em}θ\hspace{0.17em}}}\end{array}$

$\begin{array}{ccc}{\mathrm{\hspace{0.17em}sin\hspace{0.17em}}}^2{\text{\hspace{0.17em}θ\hspace{0.17em}+\hspace{0.17em}cos}}^2\text{\hspace{0.17em}θ\hspace{0.17em}=\hspace{0.17em}1,}& {\mathrm{\hspace{0.17em}tan}}^2{\text{\hspace{0.17em}θ\hspace{0.17em}+\hspace{0.17em}1\hspace{0.17em}=\hspace{0.17em}sec}}^2\text{\hspace{0.17em}θ,}& {\mathrm{\hspace{0.17em}cot}}^2{\text{\hspace{0.17em}θ\hspace{0.17em}+\hspace{0.17em}1\hspace{0.17em}=\hspace{0.17em}csc}}^2\text{\hspace{0.17em}θ\hspace{0.17em}}\end{array}$

$\mathrm{\hspace{0.17em}sin\hspace{0.17em}}\left(-\text{\hspace{0.17em}θ\hspace{0.17em}}\right)=-\mathrm{\hspace{0.17em}sin\hspace{0.17em}}\text{\hspace{0.17em}θ,}\text{=\hspace{0.17em}cos}(-$