![](data:image/png;base64,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)
3. 平面波上の偏光について、偏光の基本的な考え方
こ こ ま で 詳 し い 説 明 も 無 く 、 偏 光 と い う 言 葉 を 用 い て 来 た が ( 本 連 載 第 二 回
等 に お い て ) 、 こ こ で 、 改 め て そ の 基 本 的 な 部 分 い つ い て 説 明 さ せ て 頂 く 。
こ れ ま で 述 べ さ せ て い た だ い た 様 に 光 は 、 電 場 と 磁 場 の 振 動 か ら な る 電 磁 波
の 一 種 で あ り 、 そ の 性 質 は 電 場 ・ 磁 場 に 対 す る マ ク ス ウ ェ ル の 方 程 式 か ら 理 解
す る こ と が 出 来 る 。 こ こ で 、 波 動 方 程 式 の 解 の 一 つ で あ る 、 平 面 波 に お け る 電
場の正弦振動を考えれば、図 2.5(a)(b)にある様に電場の振動は、特定の 1平
面 内 に 留 ま る 場 合 ば か り か 、 進 行 方 向 を 示 す 座 標 軸 を 中 心 に 様 々 な 方 向 に 連 続
的 に 変 化 ( 回 転 ) す る 可 能 性 が あ る 。 こ の 様 な 光 波 の 振 動 の 方 向 の 偏 り を 偏 光
と呼ぶ。
γ
α
β
k
kx
ky
kz
x
y
z
x
y
図2 3次元的平面波