Chapter 34: Geometric Optics

The chapter develops the mirror equation relating object distance, image distance, and focal length, alongside magnification calculations that determine image size and orientation. Curved refracting surfaces introduce the concept of image formation through light bending at interfaces between different optical media, leading to the comprehensive study of thin lenses where converging lenses behave similarly to concave mirrors and diverging lenses mirror the behavior of convex mirrors. The lensmaker's equation connects lens focal length to surface curvatures and refractive index, providing the theoretical foundation for understanding optical instrument design. Practical applications include camera systems where focal length determines field of view and magnification, human vision correction through understanding myopia, hyperopia, and astigmatism with appropriate corrective lenses, simple magnifying glasses that exploit angular magnification principles, compound microscopes combining objective and eyepiece lenses for high magnification of small objects, and both refracting and reflecting telescopes designed to collect and magnify distant astronomical objects. Throughout the chapter, ray tracing techniques and principal ray analysis provide geometric methods for predicting image characteristics, while spherical and chromatic aberrations are addressed as limitations of real optical systems.