need help for simulating electroabsorption coefficient versus photon energy
in [Matlab]
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From: sibasish chaudhury on 31 Mar 2010 02:48 Hi everyone! i'm facing a problem regarding the plotting of the graph of change of electroabsorption coefficient versus change in photon energy in matlab 7.1. The required equation is Δalpha(ω,F) = (C/ω){θF 1/2[|d Ai(β)/dβ|2 – β|Ai(β)|2] – 0.3187(ω – ω1)1/2} , (ω>ω1) [e = charge of an electron ħ = plank’s constant F= electric field μ = reduced mass of GaAs= .065m0 C= 1.76*1012 cm-1sec^-1/2 ω1 = 2.15*1015 sec^-1 θF3 = (e2*F2/(2*μ*ħ)) β = (ω1 – ω/θF) Ai(β) = airy function Ai(β)=(1/sqrt(pi))[int((1/3)*cosu^3+u*β)] change in absorption coefficient= Δalpha(ω,F) Δalpha(ω,F)= alpha(ω,F) - alpha(ω,0) = (C/ω){θF 1/2[|d Ai(β)/dβ|2 – β|Ai(β)|2] – 0.3187(ω – ω1)1/2} , (ω>ω1) I have to calculate the change in absorption coefficient of GaAs (Δα)as induced by electric fields of different strength(0.5*105 – 2.0*105 V/cm) with respect to the difference in photon energy and bandgap(ħω - Eg) can anyone please help me to code it in matlab m-file thank you in advance for help. sibasish chaudhury
From: us on 31 Mar 2010 02:53 "sibasish chaudhury" <talk2sibasish(a)gmail.com> wrote in message <hour81$fem$1(a)fred.mathworks.com>... > Hi everyone! > i'm facing a problem regarding the plotting of the graph of change of electroabsorption coefficient versus change in photon energy in matlab 7.1. The required equation is > > Δalpha(ω,F) = (C/ω){θF 1/2[|d Ai(β)/dβ|2 – β|Ai(β)|2] – 0.3187(ω – ω1)1/2} , (ω>ω1) > > [e = charge of an electron > ħ = plank’s constant F= electric field > μ = reduced mass of GaAs= .065m0 > C= 1.76*1012 cm-1sec^-1/2 > ω1 = 2.15*1015 sec^-1 > θF3 = (e2*F2/(2*μ*ħ)) β = (ω1 – ω/θF) > Ai(β) = airy function Ai(β)=(1/sqrt(pi))[int((1/3)*cosu^3+u*β)] > > change in absorption coefficient= Δalpha(ω,F) > Δalpha(ω,F)= alpha(ω,F) - alpha(ω,0) > = (C/ω){θF 1/2[|d Ai(β)/dβ|2 – β|Ai(β)|2] – 0.3187(ω – ω1)1/2} , (ω>ω1) > > I have to calculate the change in absorption coefficient of GaAs (Δα)as induced by electric fields of different strength(0.5*105 – 2.0*105 V/cm) with respect to the difference in photon energy and bandgap(ħω - Eg) > > can anyone please help me to code it in matlab m-file > > thank you in advance for help. > sibasish chaudhury what have YOU done so far to solve YOUR particular problem... us
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