Advanced Geometrical Optics

Part I. A New Light on Old Geometrical Optics (Raytracing Equations of Geometrical Optics)

1. Mathematical Background
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2. Skew-Ray Tracing of Geometrical Optics
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3. Geometrical Optical Model
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4. Raytracing Equations for Paraxial Optics
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5. Cardinal Points and Image Equations
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6. Ray Aberrations
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Part II. New Tools for Optical Analysis and Design (First-Order Derivative Matrices of a Ray and its OPL)

7. Jacobian Matrices of Ray R̄i with Respect to Incoming Ray R̄i–1 and Boundary Variable Vector X̄i

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8. Jacobian Matrix of Boundary Variable Vector X̄i with Respect to System Variable Vector X̄sys

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9. Prism Analysis
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10. Prism Design Based on Image Orientation
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11. Determination of Prism Reflectors to Produce Required Image Orientation
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12. Optically Stable Systems
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13. Point Spread Function, Caustic Surfaces and Modulation Transfer Function
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14. Optical Path Length and Its Jacobian Matrix
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Part III. A Bright Light for Geometrical Optics (Second-Order Derivative Matrices of a Ray and its OPL)

15. Wavefront Aberration and Wavefront Shape
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16. Hessian Matrices of Ray R̄i with Respect to Incoming Ray R̄i-1 and Boundary Variable Vector X̄i

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17. Hessian Matrix of Boundary Variable Vector X̄i with Respect to System Variable Vector X̄sys

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18. Hessian Matrix of Optical Path Length
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Nyckelord: Physics, Classical Electrodynamics, Numerical and Computational Physics, Simulation, Quantum Optics, Optics, Lasers, Photonics, Optical Devices, Mathematical Methods in Physics