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Ch3Sec4

# Ch3Sec4 - THE FIBER FORUM Fiber Optic Communications JOSEPH...

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Unformatted text preview: THE FIBER FORUM Fiber Optic Communications JOSEPH C. PALAIS PRESENTED BY Joseph C. Palais 3.4 2 Section 3.4 Resonant Cavities L E z Mirror Mirror The equations of the electric field of a plane wave in phasor form are: jkz jkz e E E e E E 2 1 = =-- + Joseph C. Palais 3.4 3 RESONANT CAVITIES The corresponding instantaneous form is: 1 1 2 2 1 2 Re Re cos( ) Re Re cos( ) j t jkz j t j t jkz j t jkz jkz e E e E e E t kz e E e E e E t kz E E E E e E e ϖ ϖ ϖ ϖ ϖ ϖ- + + + +--- +- = = =- = = = + = + = + The total field is: Joseph C. Palais 3.4 4 RESONANT CAVITIES ) ( 1 1 2 2 1 jkz jkz e e E E E E E E- =- = + =- At z = 0, E = 0 (the tangential electric field is zero at a perfect conductor). Thus, The total field can now be written as: Joseph C. Palais 3.4 5 RESONANT CAVITIES At z = L, E = 0. Thus, ( 29 1 1 2 sin( ) 0, , 2 , , 0,1, 2, 3, jkL jkL E e e E j kL kL kL m m π π π- =- = = = = K K The solution to this equation is: Joseph C. Palais 3.4 6 RESONANT CAVITIES 2 2 L m m L π π λ λ =...
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Ch3Sec4 - THE FIBER FORUM Fiber Optic Communications JOSEPH...

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