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![Page 1: DOC - Stanford Universitydionne.stanford.edu/MatSci202_2011/Homework3_solutions.pdf · 2011-11-28 · 500 x: 519 Y: 1.876e+05 520 530 540 abs scat ext 550 Wavelength (nm)](https://reader033.vdocuments.mx/reader033/viewer/2022041915/5e6954fcbbb857534a283309/html5/thumbnails/1.jpg)
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![Page 13: DOC - Stanford Universitydionne.stanford.edu/MatSci202_2011/Homework3_solutions.pdf · 2011-11-28 · 500 x: 519 Y: 1.876e+05 520 530 540 abs scat ext 550 Wavelength (nm)](https://reader033.vdocuments.mx/reader033/viewer/2022041915/5e6954fcbbb857534a283309/html5/thumbnails/13.jpg)
c=2.998e17; %nm/s gamma=3.3e13; %1/s omega_p=5/6.58212e-16; %1/s lambda=[500:0.1:550]; %nm omega=2*pi*c./lambda; %1/s eps_m=1.3^2; r=35/2; %nm k=2*pi./lambda; %permittivity from Drude model eps=1-omega_p^2./(omega.*(omega+1i*gamma)); %polarizability from electrostatic approx. alpha=4*pi*r^3.*((eps-eps_m)./(eps+2.*eps_m)); %cross sections sigma_abs=k.*imag(alpha); sigma_scat=k.^4/(6*pi).*(abs(alpha)).^2; sigma_ext=sigma_abs+sigma_scat; figure plot(lambda, sigma_abs, 'b');hold all; plot(lambda, sigma_scat, 'r');hold all; plot(lambda, sigma_ext, 'k');hold all;
Note: Max Ext = 1.876e-13 m^2
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Transmitted light: Scattered light: