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

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Cavidades ópticas<<strong>br</strong> />

de onde se obtém :<<strong>br</strong> />

R1<<strong>br</strong> />

1 2 2<<strong>br</strong> />

z1 = ± R1<<strong>br</strong> />

− 4z<<strong>br</strong> />

(11.6a)<<strong>br</strong> />

0<<strong>br</strong> />

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

R 2 1 2 2<<strong>br</strong> />

z 2 = ± R 2 − 4z<<strong>br</strong> />

(11.6b)<<strong>br</strong> />

0<<strong>br</strong> />

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

que são as posições em que os espelhos devem ser localizados. No caso<<strong>br</strong> />

prático, sabemos os raios de curvatura dos espelhos e a distância entre<<strong>br</strong> />

eles, definida como l = z2-z1. Com estes dados, podemos encontrar o<<strong>br</strong> />

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

valor de z0<<strong>br</strong> />

com o uso das equações (11.6):<<strong>br</strong> />

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

( ) 2<<strong>br</strong> />

2 l l + R1<<strong>br</strong> />

l − R 2 R 2 − R 1 − l<<strong>br</strong> />

z 0 = (11.7)<<strong>br</strong> />

R 2 − R1<<strong>br</strong> />

− 2l<<strong>br</strong> />

o que nos permite caracterizar completamente o feixe Gaussiano.<<strong>br</strong> />

M1 M2<<strong>br</strong> />

plano-paralelo<<strong>br</strong> />

M1 M2<<strong>br</strong> />

C1<<strong>br</strong> />

C2<<strong>br</strong> />

C2<<strong>br</strong> />

M1 M2<<strong>br</strong> />

C1<<strong>br</strong> />

Confocal<<strong>br</strong> />

C2<<strong>br</strong> />

M1 M2<<strong>br</strong> />

C1<<strong>br</strong> />

M1 M2<<strong>br</strong> />

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

C1<<strong>br</strong> />

C1 C2<<strong>br</strong> />

C2<<strong>br</strong> />

M1 M2<<strong>br</strong> />

M1 M2<<strong>br</strong> />

C1<<strong>br</strong> />

C1,2<<strong>br</strong> />

Concêntrico<<strong>br</strong> />

M1 M2<<strong>br</strong> />

Fig. 11.1 – Cavidades ópticas formadas por dois espelhos esféricos.<<strong>br</strong> />

C2<<strong>br</strong> />

233

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