... | ... | @@ -1940,16 +1940,16 @@ The computed field for TE~mnp~ is: |
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[latexmath]
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++++
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\begin{aligned}
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E_r &= \dot{\iota} \omega \frac{m R^2}{x_{mn}^{\prime 2} R} B_0 J_m(k_{mn}^\prime r)\sin(m \varphi) \sin(\frac{p\pi}{L} z) \exp(\dot{\iota} \omega t) \\
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E_r &= \dot{\iota} \omega \frac{m R^2}{x_{mn}^{{\prime 2}} R} B_0 J_m(k_{mn}^\prime r)\sin(m \varphi) \sin(\frac{p\pi}{L} z) \exp(\dot{\iota} \omega t) \\
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E_\varphi &= \dot{\iota} \omega \frac{R}{x_{mn}^\prime} B_0 J^\prime_{m}(k_{mn}^\prime r)\cos(m \varphi) \sin(\frac{p\pi}{L} z) \exp(\dot{\iota} \omega t) \\
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E_z &= 0 \\
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B_r &= \frac{p\pi}{L}\frac{R}{x_{mn}^\prime} B_0 J_m^\prime(k_{mn}^\prime r)\cos(m \varphi) \cos(\frac{p\pi}{L} z) \exp(\dot{\iota} \omega t) \\
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B_\varphi &= -\frac{p \pi}{L}\frac{m R^2}{x_{mn}^{\prime 2} r} B_0 J_m(k_{mn}^\prime r) \sin(m \varphi) \cos(\frac{p\pi}{L} z) \exp(\dot{\iota} \omega t) \\
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B_\varphi &= -\frac{p \pi}{L}\frac{m R^2}{x_{mn}^{{\prime 2}} r} B_0 J_m(k_{mn}^\prime r) \sin(m \varphi) \cos(\frac{p\pi}{L} z) \exp(\dot{\iota} \omega t) \\
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B_z &= B_0 J_m(k_{mn}^\prime r) \cos(m \varphi) \sin(\frac{p\pi}{L}z) \exp(\dot{\iota} \omega t)
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\end{aligned}
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++++
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where latexmath:[ x_{mn}^\prime ] is the n-th root of the first derivative of latexmath:[ J_m ], latexmath:[ k_{mn}^\prime = \frac{x_{mn}^\prime}{R}] and latexmath:[ \omega = c\cdot\sqrt{k_{mn}^\prime^2 + \left(\frac{p\pi}{L}\right)^2}].
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where latexmath:[ x_{mn}^\prime ] is the n-th root of the first derivative of latexmath:[ J_m ], latexmath:[ k_{mn}^\prime = \frac{x_{mn}^\prime}{R}] and latexmath:[ \omega = c\cdot\sqrt{k_{mn}^{\prime 2} + \left(\frac{p\pi}{L}\right)^2}].
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The attributes of the `PILLBOX` command are:
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