Lect29_[Compatibility_Mode]

Lect29_[Compatibility_Mode] - Physics 344 Foundations of...

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Physics 344 Foundations of 21 st Century Physics: Relativity, Quantum Mechanics and heir Applications Their Applications Instructor: Dr. Mark Haugan Office: PHYS 282 haugan@purdue.edu TA: Dan Hartzler Office: PHYS 7 dhartzle@purdue.edu Grader: Shuo Liu Office: PHYS 283 liu305@purdue.edu Office Hours: If you have questions, just email us to make an ppointment. e enjoy talking about physics! appointment. We enjoy talking about physics! Notices: Midterm II at 8:00pm, Thursday, December 2 in MSEE B012
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Recitation Recap – E&M fields in a Cavity Last lecture we noted that the standing-wave fields that are the result of interference between a monochromatic plane wave incident on a mirror and the wave reflected from the mirror allow self-sustaining electromagnetic wave fields trapped between a pair of parallel mirrors, i.e., trapped in a cavity. Since the electric field of such a monochromatic wave vanishes on the mirror rfaces the are possible onl if the ca it ’s length is a m ltiple of the for 1, 2,3,. .. n n kn π == surfaces, they are possible only if the cavity’s length, a , is a multiple of the field’s half wavelength, equivalently, a Initially, we’ve concentrated on the special case of fields in a cavity oriented along the x axis and polarized with their electric fields having only y components. We established that the electric and magnetic fields of such ˆ sin( )sin( ) nn n E Ek x t j ωδ =+ G pg cavity-mode fields have the form ˆ cos( ) cos( ) n n n E Bk x t k c G where the real numbers E n and δ n specify the fields amplitude and initial phase. This simulation displays the oscillation of one mode’s electric and magnetic field components.
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These cavity-mode fields are fundamental building blocks because of superposition. By superposing such fields, each with different amplitudes and initial phases, it is clear that we can create an huge class of electromagnetic fields inside a This simulation displays a few oscillations of the electric field component of a field that is a superposition of three modes. cavity. As we noted last time, it is a remarkable fact that ALL electromagnetic field states within a cavity are superpositions of the y -polarized modes we’ve iscussed and a similar set of olarized modes discussed and a similar set of z -polarized modes.
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Lect29_[Compatibility_Mode] - Physics 344 Foundations of...

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