\documentclass[12pt,titlepage]{article} \usepackage{amsmath} \usepackage{mathrsfs} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsthm} \usepackage{mathtools} \usepackage{graphicx} \usepackage{color} \usepackage{ucs} \usepackage[utf8x]{inputenc} \usepackage{xparse} \usepackage{tikz} \usepackage{hyperref} %----Macros---------- % % Unresolved issues: % % \righttoleftarrow % \lefttorightarrow % % \color{} with HTML colorspec % \bgcolor % \array with options (without options, it's equivalent to the matrix environment) % Of the standard HTML named colors, white, black, red, green, blue and yellow % are predefined in the color package. 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\makeatother % \tensor and \multiscript \makeatletter \newif\if@sup \newtoks\@sups \def\append@sup#1{\edef\act{\noexpand\@sups={\the\@sups #1}}\act}% \def\reset@sup{\@supfalse\@sups={}}% \def\mk@scripts#1#2{\if #2/ \if@sup ^{\the\@sups}\fi \else% \ifx #1_ \if@sup ^{\the\@sups}\reset@sup \fi {}_{#2}% \else \append@sup#2 \@suptrue \fi% \expandafter\mk@scripts\fi} \def\tensor#1#2{\reset@sup#1\mk@scripts#2_/} \def\multiscripts#1#2#3{\reset@sup{}\mk@scripts#1_/#2% \reset@sup\mk@scripts#3_/} \makeatother % \slash \makeatletter \newbox\slashbox \setbox\slashbox=\hbox{$/$} \def\itex@pslash#1{\setbox\@tempboxa=\hbox{$#1$} \@tempdima=0.5\wd\slashbox \advance\@tempdima 0.5\wd\@tempboxa \copy\slashbox \kern-\@tempdima \box\@tempboxa} \def\slash{\protect\itex@pslash} \makeatother % math-mode versions of \rlap, etc % from Alexander Perlis, "A complement to \smash, \llap, and lap" % http://math.arizona.edu/~aprl/publications/mathclap/ \def\clap#1{\hbox to 0pt{\hss#1\hss}} 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\theoremstyle{remark} \newtheorem{remark}{Remark} \newtheorem{note}{Note} \newtheorem*{uremark}{Remark} \newtheorem*{unote}{Note} %------------------------------------------------------------------- \begin{document} %------------------------------------------------------------------- \section*{Sound field} :category: draft \hypertarget{free_sound_field}{}\subsection*{{Free sound field}}\label{free_sound_field} In a free field, there are no reflections, and sound can travel in straight lines, which means any sound in the field is entirely determined by listeners or microphones. Free field conditions exist in large open outdoor spaces or in rooms having highly absorptive surfaces 1. Unimpeded sound is sound that is unreflected, unabsorbed, undiffracted, unrefracted, undiffused, and not subjected to resonance effects 2. \hypertarget{freefield_sound_divergence}{}\subsubsection*{{Free-field sound divergence}}\label{freefield_sound_divergence} [[isl.png:pic]] In a ideal free field, when the SPL $L_{1}$ at distance $d_{1}$ from a point source is known, the difference of $L_{1}$ and the SPL $L_{2}$ at another distance $d_{2}$ is: \begin{displaymath} L_{2} - L_{1} = 20 \log \frac{d_{2}}{d_{1}} \end{displaymath} This result can be viewed as an instance of the inverse-distance law (for sound pressure), which derives from the famous [[Inverse-square law in acoustics|inverse-square law]] (for sound intensity). With advanced calculation, the SPL is reduced 6.02 dB for each doubling of the distance 2. The calculation result followed by the inverse square law may be presented as an reference to help researchers to develop rough estimates for other more complex conditions. \hypertarget{diffuse_sound_field}{}\subsection*{{Diffuse sound field}}\label{diffuse_sound_field} \hypertarget{references}{}\subsection*{{References}}\label{references} 1 T. D. Rossing, Ed., \emph{Springer handbook of acoustics}. New York, N.Y: Springer, 2007. 2 F. A. Everest and K. C. Pohlmann, \emph{Master Handbook of Acoustics}, 5th ed. New York: McGraw-Hill, 2009. \end{document}