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