Physics 344Foundations of 21stCentury Physics: Relativity, Quantum Mechanics and Their ApplicationsTheir 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 FieldsLast 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()ynnnnnEx tEk xtωδ∞==+∑fields, each with their own amplitude and phase, ()n=1sin()sin()cos()nnnnnk xttαωβω∞≡+∑with or, equivalently, cos()nnnEαδ=andsin()nnnEβδ=∞∑222nnnEαβ=+andtan()nnnαδβ=()1( , )cos()cos()cos()cos()sin()znnnnnnnnnncBx tEk xtk xttωδαωβω=∞=+≡−∑n=1