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ADDITIONAL SOLUTIONS BY THE THINLENS METHOD 519
OPTICAL PATH DIFFERENCES
OPTICAL PATH DIFFERENCES AT AN AXIAL IMAGE POINT
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air-space angle aplanatic astigmatism axial back component bending calculated cemented centre chromatic aberration clear aperture coefficients colours coma corresponding crown curvature curve determined diaphragm differences of optical distance distortion ellipse entrance pupil equal equation exit pupil eyepieces factor final flint focal length formula front component front lens G-sums geometrical gives glass graph hence hyperbola image-point inch lens system lenses light longitudinal M. N. Roy magnification marginal ray matching principle method numerical numerical aperture object-glass object-point oblique pencils obtain OPD'm OPD'p optical axis optical path over-correction parabola paraxial ray Petzval surface plane plotting positive primary aberrations principal ray radius Rayleigh limit refracting surface refractive index residual result Seidel aberrations semi-aperture SGS0 simple sine condition solution spherical aberration spherical correction tangential field telescope objective theorem thickness tolerance tracing trigonometrical tube-length under-correction usual wave-length zero zonal aberration zone