USEFUL CONSTANTS •𝑐= )* 2.99×10 + ./0 • ℎ = 6.62×10 j s • 𝑒 = 1.60×10.45 C •𝑘= .9/ : 1.38×10 ; .45 • 1𝑒𝑣 = 1.60×10 J • 𝐾𝑒𝑙𝑣𝑖𝑛 = 𝐶𝑒𝑙𝑠𝑖𝑢𝑠 + 273.15 • Speed of light in free space • Planck´s constant • Electron charge • Boltzmann´s constant • Un electron-volt 𝜆f=c P(t) ,Optical Power ( W) I(r,t) ,Optical Intensity (W/cm2) n, Photon number in T seconds ∅ (t), Photon flux in Photons/seconds ∅ (t), Photon flux density (Photons/seconds cm2) E, Optical Energy (J ) in T seconds ∅ (t), Photon flux in Photons/seconds Pulse : Power, Energy, Repetition rate, Time duration SIGNAL PROPERTY FORMULA CALCULO 𝜆xf= 3 x108 (mt/sec) Optical frecuency , f= 32,6 Thz Energy one photon E(ev)=1,24/𝜆 (𝜇𝑚). = 1,24/9,2𝜇𝑚 = 0,134 eV 0.134 eV = 0.214 x10 -19 Joules Power , Energy,Pulse Time E= P T = 100 (W)x 1 (sec)= 100 J , E=150x1ms= 150 mJ (one pulse), E=1000x 1𝜇s=1000𝜇 J (one pulse) E CW= E de 666 pulsos de 1ms. E CW = E de 0.3 x106 pulsos de 1 𝜇s Optical wavelenghth 𝜆 9,2 𝜇𝑚. CO2. LASER Medical Applications Repetition rate E in 1seconds/ E one pulso Hz ( # pulses in 1 second) 666Hz, 0,3 MHz Pulse : Photon Flux, number of photons SIGNAL PROPERTY FORMULA CALCULO Energy one photon E(ev)=1,24/𝜆 (𝜇𝑚). = 1,24/9,2𝜇𝑚 = 0,134 eV 0.134 eV = 0.214 x10 -19 Joules Number of photons por pulse Epulse /Efoton 1ms Pulse=7x1018 Photons. 1𝜇s Pulse= 4.4x1016 Photons. Photons flux ∅= O PQ (photones/sec) CW = 4.67X1021 . 1ms Pulse= 7X1021 . 1 𝜇s Pulse= 4.67x1022 . LASER Optical Intensity , photon-flux density LASER Optical Intensity , photon-flux density SIGNAL PROPERTY FORMULA CALCULO Optical Intensity I= P (w)/ Area (cm2 ). Pulso de 1ms, P=150 w, E=150mJ. Usando 150J/cm2 del grafico, A= 0,001 cm2 I=150/10-3 =15x104 (w/cm2) Photon flux density ∅= R PQ (Photons/sec-cm2 ) ∅= 70x1023 (photones/sec-cm2 ) LED Optical Signals parameters UV Radiation exposure time for Vitamin D synthesis in the skin without risk to health