Thin-Film Design: Modulated Thickness and Other Stopband Design Methods

Published: 2002

PDF ISBN: 9780819478641 | Print ISBN: 9780819445254

DESCRIPTION

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.
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Front Matter

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CHAPTER 1.

Introduction

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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
1.4.1 Rugate and synthesized rugate designs
1.4.2 Fourier transform method of inhomogeneous coating design
1.5 Summary
1.6 Exercises
Chapter 1 figures

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CHAPTER 2.

Sinusoidal Thickness Modulated Designs

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2.1 Review of Stopbands and Passbands
2.1.1 Periodic thin-film structures
2.1.2 Stopbands and passbands
2.2 Sinusoidal Modulation
2.2.1 Modulation frequency range for all possible TMDs
2.3 Degenerate Cases of TMDs
2.3.1 Quarter-wave stacks
2.3.2 Progressive series stacks (approximate)
2.4 Sinusoidal Thickness Modulated Designs
2.4.1 Integer modulation periods
2.4.2 Spacing or position of TMD stopbands
2.4.3 Noninteger modulation periods
2.5 Determination of All Possible TMD Stopbands
2.5.1 Dispersion correction for spectral position of TMD stopbands
2.5.2 Effect of a nonzero phase term on TMD stopband positions
2.6 Electric Field Analysis of a TMD
2.7 Reflectance Phase Shift of a TMD
2.8 Applications
2.8.1 Dual-band high reflector
2.8.2 Triple-band high reflector
2.8.3 Rugate TMD
2.9 Exercises
Chapter 2 figures

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CHAPTER 3.

Discrete Apodization of TMDs

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3.1 Introduction
3.2 Amplitude Modulation
3.2.1 AM frequencies that approach TMD modulation frequencies
3.3 Gaussian Envelope Functions
3.4 Application
3.4.1 Multiband reflective and transmissive filter
3.5 Exercises
Chapter 3 figures

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CHAPTER 4.

Other Complex TMDs

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4.1 Chirped TMD Modulation
4.1.1 Degenerate cases of C-TMD
4.1.2 Selected cases of C-TMD
4.1.3 Example C-TMD (bandwidth of stopband and GD performance)
4.1.4 Limitations and applications of C-TMD to design problems
4.2 Half-modulation TMDs
4.2.1 Example H-TMD (bandwidth of stopband andGD performance)
4.2.2 Limitations and applications of H-TMD to design problems
4.3 Exercises
Chapter 4 figures

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CHAPTER 5.

Quarter-wave Stack Transformation

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5.1 Stack Transformation Method
5.2 Quarter-wave Stack Transforms
5.2.1 Example of a 3:1 quarter-wave stack transform
5.3 Linear Quarter-wave Stack Transformation Method
5.3.1 Example of stack transform method
5.4 High-order Harmonic Stopbands of Transformed Quarter-wave Stacks
5.5 Applications
5.5.1 Dual-wavelength high-reflector example no. 1
5.5.2 Dual-wavelength high-reflector example no. 2
5.6 Exercises
Chapter 5 figures

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Useful Equations for Discrete-layer Thin-Film Calculations

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Chebyshev Polynomails of the Second Kind

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FORTRAN90 Code for the Determination of All Possible TMD Stopbands

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Stopband Positions for Selected TMDs

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Summary of TMD and LOST Equations

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Back Matter

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