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光学設計ノーツ 46(ver.1.0)
収差展開式における収差の分類
今回は、収差の多項展開式に現われる収差項(前回では現れなかった)の内
容について検討し、光学系結像に存在する収差と言う混乱したものを出来るだけ
整理して考えてみよう。以下では前回の収差展開式が前提となっているので、ご
参照願いたい。
1 収差の展開式
像面上の理想像点からのズレ、収差はy、z方向それぞれに、瞳座標、物体
座標のべき級数展開関数として以下の如くに表現できる。
-(1)
-(2)
上記、光線収差は物体位置、瞳座標の3次の項により表わされる範囲に限っ
たが、これらは収差を表す最低次の項であり、基本的な収差の性質を最も端的に
現す。3次収差と呼ばれる。また、c1からc5までの光学系固有の5つの係数
に付随して収差が分類される。これらを、ザイデル(Seidel)の5収差と呼ぶ。
上式においては、前回(6)式における様に、さらに高次の項が連続し存在し
ていて、上記3次収差の場合と同様に、光線収差として5次の収差、7次の収差
を考えることができる。次数が増して加算されるごとに実際にスネルの法則によ
り光線追跡された実収差の値に近づくことになる。しかし、各項は複雑になり、
数も増え、見通しは悪くなる。