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英语翻译The six terms with coefficients to are of fourth degree

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英语翻译
The six terms with coefficients to are of fourth degree in variables x,y,and x0 when expressed as wavefront aberrations,and are of third degreewhen expressed as transverse ray aberrations.Because of this,these terms areeither known as fourth-order or third-order aberrations.Since they are most commonlyknown as third-order aberrations,we will be referring to them as third-order aberrations.Succeeding groups of higher order terms are fifthand seventh-order aberrations.The first five third-order aberrations are often called Seidelaberrations after L.Seidel,who in 1856 gave explicit formulae for calculating them.Indiscussing the Seidel aberrations,the exit pupil coordinates will be expressed in polar coordinates (see Fig.4b),so that
公式(32)
The radial coordinate is usually normalized so that it is equal to 1 at the edge of the exit pupil.The field coordinate x0 is also usually normalized to be equal to 1 at the maximum field position.Normalized coordinates will be usedthroughout the remainder of this chapter.Using polar coordinates,the wavefront expansion of Eq.(31) can be written either in terms of wavefront aberration coefficients :表
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