Thin film design : modulated thickness and other stopband design methods Preface Definitions Chapter 1 Introduction. 1.1 Review of Mathematics for Thin Film Design. 1.2 Analytical Discrete layer Thin Film Designs. 1.3 Thin Film Design Methods. 1.4 Inhomogeneous Coating Designs and Synthesis. 1.5 Summary. 1.6 Exercises. Chapter 1 figures Chapter 2 Sinusoidal Thickness Modulated Designs. 2.1 Review of Stopbands and Passbands. 2.2 Sinusoidal Modulation. 2.3 Degenerate Cases of TMDs. 2.4 Sinusoidal Thickness Modulated Designs. 2.5 Determination of All Possible TMD Stopbands. 2.6 Electric Field Analysis of a TMD. 2.7 Reflectance Phase Shift of a TMD. 2.8 Applications. 2.9 Exercises. Chapter 2 figures Chapter 3 Discrete Apodization of TMDs. 3.1 Introduction. 3.2 Amplitude Modulation. 3.3 Gaussian Envelope Functions. 3.4 Application. 3.5 Exercises. Chapter 3 figures. Chapter 4 Other Complex TMDs. 4.1 Chirped TMD Modulation. 4.2 Half modulation TMDs. 4.3 Exercises. Chapter 4 figures Chapter 5 Quarter wave Stack Transformation. 5.1 Stack Transformation Method. 5.2 Quarter wave Stack Transforms. 5.3 Linear Quarter wave Stack Transformation Method. 5.4 High order Harmonic Stopbands of Transformed Quarter wave Stacks. 5.5 Applications. 5.6 Exercises. Chapter 5 figures Appendix A: Useful Equations for Discrete layer Thin Film Calculations Appendix B: Chebyshev Polynomials of the Second Kind Appendix C: FORTRAN90 Source Code for the Determination of All Possible TMD Stopbands Appendix D: Stopband Positions for Selected TMDs Appendix E: Summary of TMD and LOST Equations References Index This text presents several new thin film design methods that can produce multiple stopbands as well as passbands. It is written for thin film designers and students with advanced knowledge of multilayer optical thin film coatings. The text focuses on coatings that have high reflectance performance requirements in more than one spectral wavelength band or region