Transcription of Density of state for light - University of Kentucky
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Density of state for light - University of Kentucky
derivation of the Density of states for dispersion relationship c= Electromagnetic radiation is considered as standing waves insider the cavity, satisfying boundary conditions: (0,t)=0 and (Lx,t) =0 and (Ly,t) =0 and (Lz,t) =0 For plane waves, (0,t)=0 (x,t) = Asin(kx)cos( t) (Lx,t) =0 sin(kxLx)=0 kxLx=nx nx=1, 2, 3, .. In other words, because of the boundary conditions, k cannot be any value it wants. Similarly for y and z directions: A possible standing wave can be considered as a state defined by wave vector (kx, ky, kz) in the cavity. Note that the states are packed together close together uniformly in the k-space, because L is large (hence we can use integration). We now want to calculate the total number of possible standing waves ( states ) within a spherical shell between radii k and k+dk.
Derivation of the density of states for dispersion relationship c=λν Electromagnetic radiation is considered as standing waves insider the cavity, satisfying
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ECE3080-L-4-Density of states, Derivation, Density of states, Of states, 1. Boltzmann distribution, Boltzmann distribution, The density of electronic states in, States, Density, Density Matrix, Intrinsic Carrier Concentration, Density states, Quantum Theory of Thermoelectric Power Seebeck, Intrinsiccarrierconcentrationinsemiconductors, Density of States, Fermi Energy and Energy, Handout 7. Entropy