![](data:image/png;base64,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)
光線の進行経路を考える上で非常に重要な意味を持つ、フェルマー(Fermat)の原理は、
次の様に表現される。点 Pを通過した光線が点 Qに達する時、Pから出た別の光線と互い
の光線経路が交わら無い場合に、という正則の条件のもと、
“点Pから点 Qに到達する光は、その光路長が停留値(多くの場合、最大値、あるいは
最小値)をとるような唯一の光路を経る。”
この正則の条件においては、一つの点光源から射出した幾つもの同族光線が集中する共
役点 Qは除外される。また P, Q が、共役関係にある場合以外でも、Qが同族光束中、収差
を持った周辺光線と主光線の交点である場合も除外される(図2)。図中のこれら 2光線はそ
れぞれの近傍で光路長が極値をとることに、その近傍においてのみ最小値をとることにな
る。
図 2 光路長の異なる2点間の光線経路
因みに、図 3にある様な収差の大きな光学系において、光軸から離れた絞り座標位置を
通る近隣光線同士の像界における交点を繋げて行った包絡線(火線)により形成されるもの
は火面(caustic)と呼ばれるが、図からも分かる様にフェルマーの原理を定義した際の点 Q
を光軸上、屈折面より右に配置すると考えれば、火線より左(内側)、屈折面に近い領域で
は、光軸上を経由する光路と、屈折光が Qに達することができ(図2)、正則の条件からは外
れる。この場合、点 Qの立場からすると、火線より外の領域が正則の領域となる。
理想像面
無収差光線
軸上光線
P Q
P’1