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Óptica Moderna Fundamentos e aplicações - Fotonica.ifsc.usp.br ...

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Modos de operação de um laser<<strong>br</strong> />

E n ( t)<<strong>br</strong> />

= E n cos ( 2πν<<strong>br</strong> />

nt<<strong>br</strong> />

+ φn<<strong>br</strong> />

)<<strong>br</strong> />

[ 1−<<strong>br</strong> />

α(<<strong>br</strong> />

1−<<strong>br</strong> />

cos[<<strong>br</strong> />

Ωt<<strong>br</strong> />

+ φ])<<strong>br</strong> />

]<<strong>br</strong> />

S. C. Zilio <strong>Óptica</strong> <strong>Moderna</strong> – <strong>Fundamentos</strong> e Aplicações<<strong>br</strong> />

261<<strong>br</strong> />

(13.7)<<strong>br</strong> />

O segundo termo entre colchetes representa as perdas na transmissão.<<strong>br</strong> />

Usando ω = 2πν , podemos desenvolver esta expressão como:<<strong>br</strong> />

n n<<strong>br</strong> />

E<<strong>br</strong> />

n<<strong>br</strong> />

( t)<<strong>br</strong> />

α<<strong>br</strong> />

= En<<strong>br</strong> />

( 1−<<strong>br</strong> />

α)<<strong>br</strong> />

cos ( ωnt<<strong>br</strong> />

+ φn<<strong>br</strong> />

) + En<<strong>br</strong> />

cos[<<strong>br</strong> />

( ωn<<strong>br</strong> />

− Ω)<<strong>br</strong> />

t + φn<<strong>br</strong> />

− φ]<<strong>br</strong> />

2<<strong>br</strong> />

α<<strong>br</strong> />

− En<<strong>br</strong> />

cos[<<strong>br</strong> />

( ωn<<strong>br</strong> />

+ Ω)<<strong>br</strong> />

t + φn<<strong>br</strong> />

+ φ]<<strong>br</strong> />

2<<strong>br</strong> />

(13.8)<<strong>br</strong> />

O primeiro termo mostra que o campo de freqüência angular ωn<<strong>br</strong> />

tem sua amplitude reduzida pelo fator α (α

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