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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Plane polarized ： ウィキペディア英語版 Linear polarization In electrodynamics, linear polarization or plane polarization of electromagnetic radiation is a confinement of the electric field vector or magnetic field vector to a given plane along the direction of propagation. See polarization for more information. The orientation of a linearly polarized electromagnetic wave is defined by the direction of the electric field vector. For example, if the electric field vector is vertical (alternately up and down as the wave travels) the radiation is said to be vertically polarized. ==Mathematical description of linear polarization== The classical sinusoidal plane wave solution of the electromagnetic wave equation for the electric and magnetic fields is (cgs units) :$\backslash mathbf\; (\; \backslash mathbf\; ,\; t\; )\; =\; \backslash mid\backslash mathbf\backslash mid\; \backslash mathrm\; \backslash left\; \backslash$ :$\backslash mathbf\; (\; \backslash mathbf\; ,\; t\; )\; =\; \backslash hat\; \backslash times\; \backslash mathbf\; (\; \backslash mathbf\; ,\; t\; )/c$ for the magnetic field, where k is the wavenumber, :$\backslash omega\_^\; =\; c\; k$ is the angular frequency of the wave, and $c$ is the speed of light. Here :$\backslash mid\backslash mathbf\backslash mid$ is the amplitude of the field and :$|\backslash psi\backslash rangle\; \backslash \; \backslash stackrel\backslash \; \backslash begin\; \backslash psi\_x\; \backslash \backslash \; \backslash psi\_y\; \backslash end\; =\; \backslash begin\; \backslash cos\backslash theta\; \backslash exp\; \backslash left\; (\; i\; \backslash alpha\_x\; \backslash right\; )\; \backslash \backslash \; \backslash sin\backslash theta\; \backslash exp\; \backslash left\; (\; i\; \backslash alpha\_y\; \backslash right\; )\; \backslash end$ is the Jones vector in the x-y plane. The wave is linearly polarized when the phase angles $\backslash alpha\_x^\; ,\; \backslash alpha\_y$ are equal, :$\backslash alpha\_x\; =\; \backslash alpha\_y\; \backslash \; \backslash stackrel\backslash \; \backslash alpha$. This represents a wave polarized at an angle $\backslash theta$ with respect to the x axis. In that case, the Jones vector can be written :$|\backslash psi\backslash rangle\; =\; \backslash begin\; \backslash cos\backslash theta\; \backslash \backslash \; \backslash sin\backslash theta\; \backslash end\; \backslash exp\; \backslash left\; (\; i\; \backslash alpha\; \backslash right\; )$. The state vectors for linear polarization in x or y are special cases of this state vector. If unit vectors are defined such that :$|x\backslash rangle\; \backslash \; \backslash stackrel\backslash \; \backslash begin\; 1\; \backslash \backslash \; 0\; \backslash end$ and :$|y\backslash rangle\; \backslash \; \backslash stackrel\backslash \; \backslash begin\; 0\; \backslash \backslash \; 1\; \backslash end$ then the polarization state can be written in the "x-y basis" as :$|\backslash psi\backslash rangle\; =\; \backslash cos\backslash theta\; \backslash exp\; \backslash left\; (\; i\; \backslash alpha\; \backslash right\; )\; |x\backslash rangle\; +\; \backslash sin\backslash theta\; \backslash exp\; \backslash left\; (\; i\; \backslash alpha\; \backslash right\; )\; |y\backslash rangle\; =\; \backslash psi\_x\; |x\backslash rangle\; +\; \backslash psi\_y\; |y\backslash rangle$. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Linear polarization」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.