Optical Thin Film Design

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Thin-film coatings are universal on optical components such as displays, lenses, mirrors, cameras, and windows and serve a variety of functions such as antireflection, high reflection, and spectral filtering. Designs can be as simple as a single-layer dielectric for antireflection effects or very complex with hundreds of layers for producing elaborate spectral filtering effects. Starting from basic principles of electromagnetics, design techniques are progressively introduced toward more intricate optical filter designs, numerical optimization techniques, and production methods, as well as emerging areas such as phase change materials and metal film optics. Worked examples, Python computer codes, and instructor problem sets are included.

Key Features:

    • Starting from the basic principles of electromagnetics, topics are built in a pedagogic manner toward intricate filter designs, numerical optimization and production methods.

    • Discusses thin-film applications and design from simple single-layer effects to complex several-hundred-layer spectral filtering.

    • Includes modern topics such as phase change materials and metal film optics.

    • Includes worked examples, problem sets, and numerical examples with Python codes.

    Author(s): Andrew Sarangan
    Edition: 1
    Publisher: CRC Press
    Year: 2020

    Language: English
    Pages: 255
    City: Boca Raton

    Cover
    Half Title
    Title Page
    Copyright Page
    Table of Contents
    Preface
    Author
    Chapter 1 Fundamental Concepts
    1.1 Optical Thin Films
    1.1.1 Antireflection
    1.1.2 High Reflection
    1.1.3 Optical Filters
    1.1.4 Optical Filters with Metal Films
    1.2 Electromagnetic Wave Equation
    1.3 Plane Waves
    1.4 Power Flux
    1.5 Electromagnetic Waves Across Dielectric Boundaries
    1.5.1 Derivation of the Boundary Conditions
    1.5.2 Normal Incidence
    1.5.3 Oblique Incidence
    1.5.3.1 TE Incidence
    1.5.3.2 TM Incidence
    1.6 Problems
    Further Reading
    Chapter 2 Optical Thin Film Materials
    2.1 Properties of Optical Thin Film Materials
    2.2 Dielectric Thin Film Materials
    2.2.1 Oxides
    2.2.1.1 SiO2
    2.2.1.2 TiO2
    2.2.1.3 Al2O3
    2.2.1.4 Ta2O5
    2.2.1.5 SiO
    2.2.1.6 Nb2O5
    2.2.1.7 Other Oxide Films
    2.2.2 Fluorides
    2.2.2.1 MgF2
    2.2.2.2 CaF2
    2.2.3 Nitrides
    2.2.3.1 Si3N4
    2.2.3.2 TiN
    2.2.4 Sulfides
    2.2.4.1 ZnS
    2.3 Semiconductors
    2.3.1 Si
    2.3.2 Ge
    2.3.3 CdS
    2.4 Metals
    2.4.1 Ag
    2.4.2 Al
    2.4.3 Au
    2.4.4 Cu
    2.4.5 Cr
    2.5 Problems
    References
    Chapter 3 Single-Layer Antireflection Theory
    3.1 Reflection from a Single Dielectric Interface
    3.2 Single-Film Antireflection
    3.3 Complex Effective Reflectance Index Contours
    3.4 Limitations of the Effective Reflectance Index
    3.5 Quality Factor
    3.6 Normalized Frequency
    3.7 Problems
    Chapter 4 Transfer Matrix Method
    4.1 Transfer Matrix Method for Normal Incidence
    4.2 Including the Effects of Reflection from the Backside of the Substrate
    4.3 Example – Antireflection on Silica Glass
    4.4 Film Stacks on Both Sides of the Substrate
    4.5 Materials with Complex and Dispersive Refractive Indices
    4.6 Calculation of Absorption in Films
    4.7 Calculation of the Field Distribution
    4.7.1 Example – Field Distribution in the Single-Layer Antireflection Structure
    4.8 Oblique Incidence – TE (Transverse Electric)
    4.9 Oblique Incidence – TM (Transverse Magnetic)
    4.10 Problems
    References
    Chapter 5 Multilayer Antireflection Theory
    5.1 Two-Layer Quarter-Wave Antireflection Designs
    5.2 Two-Layer Non-Quarter-Wave Antireflection Designs
    5.3 Three-Layer Antireflection Design
    5.4 Principles of the Three-Layer Design Using the Absentee Layer
    5.5 Double-V Designs
    5.6 Antireflection on a Substrate That Already Contains Thin Films
    5.7 Structured and Gradient-Index Films
    5.8 Problems
    References
    Chapter 6 High-Reflection Designs
    6.1 Effective Reflectance Index of a Periodic Layer
    6.2 Symmetric Unit Cell
    6.3 High-Reflection Designs with Symmetric Unit Cells
    6.4 Broadband Reflectors
    Chapter 7 Herpin Equivalence Principle
    7.1 Basic Principles
    7.2 Preview Example
    7.3 Trilayer Unit Cell
    7.4 Trilayer Unit Cell with d2 = 2d1
    7.5 (H/2 L H/2) VS (L/2 H L/2)
    7.6 Effective Reflectance Index Contour
    7.7 Reflection and Transmission at the Reference Wavelength
    7.7.1 Stop Band
    7.8 Reflection at the Edges of the Stop Band
    7.8.1 Higher-Order Absentee Conditions
    7.9 Example – Continued from Section 7.2
    7.10 Problems
    Further Reading
    Chapter 8 Edge Filters
    8.1 Basic Concepts
    8.2 Equivalent Index of the Passband of a Periodic Stack
    8.3 Transition Characteristics
    8.4 Numerical Optimization
    8.5 Effects of Material Dispersion
    8.6 Design Example of a Mid-Infrared Long-Pass Edge Filter
    8.7 Problems
    References
    Chapter 9 Line-Pass Filters
    9.1 Single-Cavity Design
    9.1.1 Resonant-Cavity Enhancement
    9.2 VCSELs
    9.3 Coupled-Cavity Design
    9.4 Problems
    References
    Chapter 10 Bandpass Filters
    10.1 Bandpass Filters by Combining Two Edge Filters
    10.2 Coupled-Cavity Bandpass Filters
    10.3 Problems
    Further Reading
    Chapter 11 Thin-Film Designs for Oblique Incidence
    11.1 Angle of Incidence on the Spectral Performance of a Filter
    11.2 Continuity Equations and Angle of Incidence (TE)
    11.3 Reflection from a Single Interface for TE Polarization
    11.4 Behavior of n[sup(z)] with Incident Angle
    11.5 Single-Layer Antireflection for TE Incidence
    11.6 Continuity Equations and Angle of Incidence (TM)
    11.7 Reflection from a Single Interface for TM Polarization
    11.8 Behavior of n[sup(z1)] with Incident Angle
    11.9 Single-Layer Antireflection for TM Incidence
    11.10 Effective Reflectance Index Contours
    11.11 Oblique Incidence on a Filter Designed for Normal Incidence
    11.12 Multilayer Filters Designed for Oblique Incidence
    11.13 A Common Misconception
    11.14 Thin-Film Polarizing Beam Splitter
    11.15 Problems
    References
    Chapter 12 Metal Film Optics
    12.1 Optical Properties of Metals
    12.2 Transparency of Metals
    12.3 Antireflection Designs for Metal Substrates
    12.3.1 Using Films with Complex Refractive Indices
    12.3.2 Using Films with Real Refractive Indices
    12.3.3 Antireflection Using Metal–Insulator–Metal Structures
    12.4 Antireflection on Semiconductors
    12.5 Bandpass Filters Using Metal Films
    12.5.1 Single-Cavity Metal–Dielectric–Metal Bandpass Filter
    12.5.1.1 Optical Dispersion of Metals
    12.5.1.2 Metal–Dielectric–Metal Cavity Structure Layer Thicknesses
    12.5.2 Coupled-Cavity Metal–Dielectric Bandpass Design
    12.6 Problems
    Further Reading
    Chapter 13 Thin-Film Designs Using Phase Change Materials
    13.1 Introduction
    13.2 Vanadium Dioxide (VO[sub(2)])
    13.2.1 Optical Properties of Vanadium Dioxide
    13.2.2 Antireflection
    13.2.3 Resonant-Cavity Structures with a Complex Film at the Center
    13.2.4 Resonant-Cavity Structures with VO[sub(2)] at the Center
    13.3 Ge[sub(2)]Sb[sub(2)]Te[sub(5)] (GST)
    13.3.1 Optical Properties of GST
    13.3.2 Antireflection
    13.3.3 Resonant-Cavity Structures with GST
    13.3.4 Multilayer Designs Using GST
    Further Reading
    Chapter 14 Deposition Methods
    14.1 Introduction
    14.1.1 Optical Thin-Film Design vs Process Design
    14.1.2 Major Categories of Deposition Techniques
    14.2 PVD
    14.2.1 Sputter Deposition
    14.2.1.1 DC Sputter Deposition
    14.2.1.2 RF Sputter Deposition
    14.2.1.3 Reactive Sputter Deposition
    14.2.1.4 Ion Beam Sputtering
    14.2.2 PLD
    14.2.2.1 Sputter Configurations
    14.2.3 Thermal Evaporation
    14.2.3.1 Resistively Heated Thermal Evaporation
    14.2.3.2 Flash Evaporation
    14.2.3.3 Electron-Beam-Heated Thermal Evaporation
    14.2.3.4 Reactive Evaporation
    14.2.3.5 Ion-Assisted Deposition
    14.3 Chemical Vapor Deposition
    14.3.1 LPCVD
    14.3.2 PECVD
    14.3.3 ALD
    14.4 Thickness Monitoring and Control
    14.4.1 Quartz Crystal Microbalance
    14.4.2 Optical Monitoring
    14.5 Thin-Film Stress
    Further Reading
    Chapter 15 Python Computer Code
    15.1 Plane Wave Transfer Matrix Method
    15.1.1 Subroutine: tmm.py
    15.1.2 TMM Reflection Spectrum with and without Substrate Backside (Figure 4.4 in Chapter 4)
    15.1.3 TMM Reflection Spectrum Including Complex and Dispersive Materials (Figure 4.5 in Chapter 4)
    15.1.4 Subroutine: tmm_field.py
    15.1.5 Field Profile inside Single-Layer Antireflection (Figure 4.6 in Chapter 4)
    15.1.6 Coupled-Cavity Line Filter (Figure 9.14 in Chapter 9)
    15.2 Effective Reflectance Index Contours
    15.2.1 Subroutine: contour.py
    15.2.2 Single Quarter-Wave Contour (Figure 3.3 in Chapter 3)
    15.2.3 Two Quarter-Wave Contours (Figure 5.1 in Chapter 5)
    15.2.4 Subroutine: two_contour_equations.py
    15.2.5 Intersection between Two Contours (Figure 5.4a in Chapter 5)
    15.2.6 Subroutine: vvequations.py
    15.2.7 Roots of the Double-V Design (Figure 5.19a)
    15.2.8 Subroutine: complex_ns_equations.py
    15.2.9 Solving for the Antireflection Condition with an Existing Film (Figure 5.21)
    15.2.10 Solving for the Metal and Dielectric Thicknesses in a Metal–Insulator–Metal (MIM) Structure (Figure 12.18)
    Index