Lect30_[Compatibility_Mode] - Physics 344 Foundations of...

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Physics 344 Foundations of 21 st Century Physics: Relativity, Quantum Mechanics and Their Applications Their Applications Instructor: Dr. Mark Haugan Office: PHYS 282 [email protected] TA: Dan Hartzler Office: PHYS 7 [email protected] Grader: Shuo Liu Office: PHYS 283 [email protected] Office Hours: If you have questions, just email us to make an appointment. We enjoy talking about physics! appointment. Notices: Midterm II at 8:00pm, Thursday, December 2 in MSEE B012
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The Energy of Cavity Fields Last lecture we began the wave-model analysis of the distribution of field energy stored in a resonant cavity in order to complete our blending of the wave and photon models of light into a quantum mechanics of single photon states of the electromagnetic field. Recall that we can represent generic cavity fields as superpositions of modal 1 ( , ) sin( )sin( ) y n n n n n E x t E k x t ω δ = = + fields, each with their own amplitude and phase, ( ) n=1 sin( ) sin( ) cos( ) n n n n n k x t t α ω β ω + with or, equivalently, cos( ) n n n E α δ = and sin( ) n n n E β δ = 2 2 2 n n n E α β = + and tan( ) n n n α δ β = ( ) 1 ( , ) cos( )cos( ) cos( ) cos( ) sin( ) z n n n n n n n n n n cB x t E k x t k x t t ω δ α ω β ω = = + n=1
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