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BeamPROP指导.docx
Preface
What’s new in version 8.1
Notices
Limited Warranty
Copyright Notice
RSoft Design Group™ Trademarks
Acknowledgments
System Requirements
How to read this manual
What should I read and when?
Where can I find the documentation for…
Where are these manuals located?
Conventions
Physics Conventions
Polarization
Units
Manual Conventions
Product Name Conventions
Chapter 1:Installation
Existing RSoft users
First-time RSoft users
README File
Technical Support & Software Upgrades
Chapter 2:Background
⎝⎠
A u
⎧ ⎡
⎡
⎩⎣⎦⎭
⎩⎭
⎩⎣⎦ ⎭
P ⎜ (k
Parameters:
Influences:
Computation Time:
Effect of Grid Sizes (Δx and Δy)
Effect of Step Size (Δz)
Effect of Reference Wavenumber
Effect of Pade Order
Effect of Computational Domain / Boundary Conditio
Effect of Polarization Options
Effect of Scheme Parameter
Running an Example
Step 1: Laying out the structure
Step 2: Choosing the BeamPROP simulation engine
Step 3: Setting up the Simulation Parameters
Step 4: Running the Simulation
Step 5: Accessing Results
Program Syntax
Batch File Operation
Defining the Field Profile Type
Using Optional Field Profile Data
Display Mode
The Display Options dialog
Chapter 5:Monitoring and Analysis of Simulation R
Note for Phase Monitors
"Monitor Result"
Chapter 6:Mode Solving
Step 1: Create the index structure in the RSoft C
Step 2: Choose the appropriate mode solver and re
Step 3: Choose Launch Field
Step 3: Choose the mode calculation parameters
Step 5: Perform the mode calculation.
The Launch Field
The Step Size
Convergence Tolerance
Corrections Used To Calculate Effective Indices
The Imaginary Propagation Constant
The Launch Field
FFT Related Considerations
Finding Eigenvalues from the Spectrum
Chapter 7:Advanced Simulation Features
Primary Settings
Other Settings
Geometry and Orientation
Vector Modes
Geometry and Orientation
Vector Modes
Transformer Mode
⎜⎟⎜⎟⎜⎟
2 ⎜ i
1 ⎟
⎝⎠
⎝⎠
Controller Mode
⎜⎟
⎠
⎛⎞
Δ arcsin ⎜ 12⎟
Reference k
Other Boundary Types
The Algorithm
Important Notes
An Example
Creating Local Simulation Parameters
7.F.1 Using Radial BPM
Displaying 3D Results
Chapter 8: Basic Tutorials
Basic Tutorial 1: Basic 2D Simulation
CAD Window Basics
Creating a New Circuit
Choosing Initial Settings:
The Layout Window:
Creating Variables via the Symbol Table
Adding the Waveguide
Drawing the Waveguide:
Setting the Length of the Waveguide:
Choosing the Excitation
Adding a Pathway
Adding a Monitor
Performing the Simulation
The Simulation Window
Accessing Saved Data
Opening Plots:
Viewing the Plotting Commands:
Viewing the Raw Data:
Viewing other Types of Output:
Areas for Further Exploration:
Basic Tutorial 2: Basic 3D Simulation
3D Specific CAD Options
Creating Variables
Adding the Fiber Segment
Viewing the Structure in 3D
Checking the Index Profile
Choosing the Excitation Field
Adding a Pathway and Monitor
Performing the Simulation
Selecting Output Types
Accessing Saved Data
Areas for Further Exploration
Chapter 9:Tutorial Examples
Tutorial 1: Simulating Multilayer Structures
Structure Overview
Creating the Structure
Understanding Multilayer Geometry
Defining Layer Tables
Drawing the Waveguide
Viewing the Index Profile
Computing Modes
Launch Setup
Performing the Mode Computation
Fiber to Waveguide Analysis
Configuring the Launch Field
Creating a Pathway
Creating the Monitors
Performing a Single Simulation
Running a Parameter Scan
Areas for Further Exploration
Tutorial 2: Using Simulated Bends
Computing Modes of Simulated Bends
Creating the Structure
Computing the Modes
Computing Optimal Offsets for an S-Bend
Computing the First Offset
Comparison between actual S-Bend and Simulated S-B
Using an Actual S-Bend
Using Simulated S-Bend
Areas for Further Exploration
Tutorial 3: Multimode Interference (MMI) Devices
Creating the Structure
Defining Symbols
Drawing the Structure
Analysis Setup
Using Inactive Waveguides
Creating Pathways and Monitors
Defining the Launch Field
Performing the Simulation
Determining the Optimal Imaging Length
Areas for Further Exploration
Tutorial 4: Nonlinear Coupler
Structure Overview
Performing a Simulation
Tutorial 5: Using Multiple Launch Fields
Structure Overview
Simulating with Multiple Launch Fields
Tutorial 6: Simulating Anisotropic Devices
Faraday Rotator
Half Wave Plate Example
Simulation of Wave Plate
Areas for Further Exploration
Tutorial 7: Using Wide-Angle BPM
Device Layout
Creating the Waveguide
Defining a Pathway, Monitor, and Launch Field
Exploring Wide-Angle Propagation
Using the Default Parameter Values
Convergence Study of Varying the X and Z Grid Size
Convergence Study of Increasing the Padé Order
Closing Remarks
Areas for Further Exploration
Tutorial 8: Modeling Gratings Using Bidirectional
Device Overview
Performing a Simulation
Scanning over the Wavelength
Areas for Further Exploration
Tutorial 9: Mach-Zhender Electro-Optical Modulator
Structure Overview
Testing the Electrodes
Performing a Simulation
Single Simulation
Performing a Parameter Scan
Areas for Further Exploration
Tutorial 10: Designing a Mode Converter
Device Overview
Performing a Simulation
Areas for Further Exploration
Tutorial 11: Using the Simulation Region Feature
Structure Overview
Performing a Simulation
Performing a Simulation with a Simulation Region
Areas for Further Exploration
Chapter 10:Mode Solving Tutorials
Mode Tutorial 1: Using the Iterative Method
Modes of a Simple 2D Slab
Creating the Structure
Launch Settings
Computing the Fundamental Mode
Computing Higher Order Modes
Modes of a Simple 3D Buried Channel
Creating the Structure
Launch Settings
Computing the Fundamental Mode
Performing Convergence Studies
Studying the Effect of the Z Grid Size
Studying the Effect of the X and Y Grid Sizes
0.5 2N
Studying the Effect of Polarization Options
Semi-Vector Mode
Full-Vector Mode
Areas for Further Exploration
Mode Tutorial 2: Using the Correlation Method
Modes of a Simple 2D Slab
Creating the Structure
Launch Settings
Computing the Fundamental Mode
Computing Higher Order Modes
Viewing the Mode Spectrum
Modes of a Simple Fiber Structure
Creating the Structure
Launch Settings
Computing the Modes
Areas for Further Exploration
Mode Tutorial 3:Computing the Mode Cutoff
Creating the Structure
Setting Simulation Parameters
Parameter Scan for Mode Cutoff
Areas for Further Exploration
Mode Tutorial 4: Dispersion in Single Mode Silica
Creating the Structure
Defining Dispersion
Creating the Fiber
Computing Dispersion with MOST
Creating the Parameter Scan
Enabling Post-Processing
Areas for Further Exploration
Mode Tutorial 5: Index Guided Photonic Crystal Fi
Creating the PCF Structure
Computing the PCF Mode
Exploring the Single-Mode Condition
Setting Simulation Parameters
Performing a Parameter Scan over Wavelength and Ho
Areas for Further Exploration
Mode Tutorial 6:Leaky Modes of a Rib Waveguide
Creating the Structure
Computing the Mode
Defining the Launch Field
Setting the Polarization
Calculating the Mode Incorrectly
Computing the Mode Correctly
Areas for Further Exploration
Mode Tutorial 7: Modes with a Non-Uniform Grid
Structure Overview
Advantages of Using a Non-Uniform Grid for this St
Creating a Non-Uniform Grid
Choosing Non-Uniform Grid Parameters
Viewing the Non-Uniform Grid
Modes with a Non-Uniform Grid
Modes with a Uniform Grid
Comparing the Results
Index (*.ind) File Format
Graph File Format
Standard RSoft File Format
Monitor File Format
Correlation File Format
Mode Spectrum File Format
Mode Results (Effective Index) File Format
*.mds File Format
Mode Field File Format
Refractive Index and Loss Profile File Formats
Electrode/Heater Formats
Appendix C:Symbol Table Variables
BPM Simulation Parameters
Advanced Grid Parameters
Advanced Numerical Parameters
Bi-Directional Parameters
Display Options
Output Options
Launch Parameters
Mode Solving
Mode Calculation Options
Advanced Mode Solving Features
Boundary Conditions
Additional Features
Compute Index Profile
Changes from Version 8.0 to Version 8.1
New Capabilities and Improvements to the Program
Significant Changes in Program Behavior
Changes from Version 7.0 to Version 8.0
New Capabilities and Improvements to the Program
CAD:
Significant Changes in Program Behavior
Changes from Version 6.0 to Version 7.0
New Capabilities and Improvements to the Program
CAD:
Simulation:
Other:
Significant Changes in Program Behavior
Changes from Version 5.1 to Version 6.0
New Capabilities and Improvements to the Program
CAD:
Simulation:
Analysis/Results:
Other:
Significant Changes in Program Behavior
Changes from Version 5.0 to Version 5.1
New Capabilities and Improvements to the Program
CAD:
Simulation:
Analysis/Results:
Other:
Significant Changes in Program Behavior
Changes from Version 4.0 to Version 5.0
New Capabilities and Improvements to the Program
CAD:
Simulation:
Analysis/Results:
Other:
Significant Changes in Program Behavior
Changes from Version 3.0 to Version 4.0
New Capabilities and Improvements to the Program
Significant Changes in Program Behavior
Changes from Version 2.1 to Version 3.0
New Capabilities and Improvements to the Program
Significant Changes in Program Behavior
Changes from Version 2.0 to Version 2.1
New Capabilities and Improvements to the Program
Significant Changes in Program Behavior
Changes from Version 1.1 to Version 2.0
New Capabilities and Improvements to the Program
Significant Changes in Program Behavior
Changes from Version 1.0 to Version 1.1
New Capabilities and Improvements to the Program
Significant Changes in Program Behavior
Index
(
BeamPROP 8.1
User Guide
RSoft Design Group, Inc.
400 Executive Blvd. • Suite 100
Ossining, NY 10562
Phone: 1•914•923•2164
Fax: 1•914•923•2169
info@rsoftdesign.com
www.rsoftdesign.com
Copyright © 1993 - 2008
All Rights Reserved.
Contents
Preface
1
What’s new in version 8.1...........................................................................................................3
Notices........................................................................................................................................ 3
Limited Warranty..........................................................................................................3
Copyright Notice.......................................................................................................... 3
RSoft Design Group™ Trademarks............................................................................. 3
Acknowledgments........................................................................................................ 3
System Requirements..................................................................................................................4
How to read this manual............................................................................................................. 5
What should I read and when?......................................................................................5
Where can I find the documentation for…................................................................... 5
Conventions................................................................................................................................ 6
Physics Conventions.....................................................................................................6
Chapter 1: Installation
9
1.A. Main Program Installation...................................................................................................9
1.A.1. Installation Overview.........................................................................................9
1.A.2. Backing up the Examples...................................................................................9
1.B. Testing the BeamPROP installation................................................................................. 10
1.C. What Next?........................................................................................................................11
README File............................................................................................................ 12
Technical Support & Software Upgrades................................................................... 12
Chapter 2: Background
13
2.A. Background....................................................................................................................... 13
2.B. Review of the Beam Propagation Method (BPM).............................................................14
2.B.1. Scalar, Paraxial BPM....................................................................................... 14
2.B.2. Numerical Solution and Boundary Conditions................................................ 16
2.B.3. Including Polarization - Vector BPM.............................................................. 17
2.B.4. Removing Paraxiality – Wide-Angle BPM..................................................... 18
2.B.5. Handling Reflections – Bi-directional BPM....................................................19
2.B.6. Additional BPM Techniques............................................................................19
2.B.7. Mode Solving via BPM....................................................................................19
2.B.8. References........................................................................................................21
2.C. General guidelines for Using BPM................................................................................... 23
2.C.1. Overview..........................................................................................................24
2.C.2. General Philosophy for Choosing Parameters................................................. 24
Chapter 3: A First Tour of BeamPROP
27
3.A. Component Programs and Files........................................................................................ 27
3.A.1. Component Executables.................................................................................. 27
3.A.2. Example Files.................................................................................................. 28
3.B. Program Operation............................................................................................................ 28
BeamPROP 8.1 User Guide
Contents • iii
3.B.1. GUI Program Operation...................................................................................29
3.B.2. CLI Operation.................................................................................................. 30
Chapter 4: Using BeamPROP
33
4.A. Spatial Grid....................................................................................................................... 33
4.B. The Launch Condition.......................................................................................................34
4.B.1. Creating a Launch Field...................................................................................35
4.B.2. Polarization Manipulation................................................................................40
4.B.3. Launching Multiple Fields...............................................................................40
4.C. Advanced & Bidirectional BPM Options..........................................................................40
4.D. Display and Output Options..............................................................................................41
4.D.1. Display Options............................................................................................... 41
4.D.2. Output Options.................................................................................................45
Chapter 5: Monitoring and Analysis of Simulation Results
47
5.A. Defining a Pathway........................................................................................................... 47
5.B. Creating a Monitor............................................................................................................ 47
5.C. Assigning a Pathway to the Monitor................................................................................. 48
5.D. Choosing a Monitor Type................................................................................................. 48
Note for Phase Monitors.............................................................................................50
5.E. Monitor Options.................................................................................................................50
Chapter 6: Mode Solving
53
6.A. Background....................................................................................................................... 53
6.B. Mode Solving Overview....................................................................................................53
Step 1: Create the index structure in the RSoft CAD tool.........................................53
Step 2: Choose the appropriate mode solver and related options..............................53
Step 3: Choose Launch Field.....................................................................................54
Step 3: Choose the mode calculation parameters....................................................... 55
Step 5: Perform the mode calculation........................................................................55
6.C. Using the Iterative Method................................................................................................56
6.C.1. Computing Modes............................................................................................56
6.C.2. Additional Notes.............................................................................................. 56
6.D. Using the Correlation Method...........................................................................................57
6.D.1. Computing only the Mode Spectrum...............................................................57
6.D.2. Computing the Mode Profiles and Propagation Constants..............................57
6.D.3. Additional Notes..............................................................................................58
6.E. Additional Comments........................................................................................................59
6.E.1. Finding Asymmetric Higher Order Modes with the Iterative Method.............59
6.E.2. Calculating Modes from the Command Line...................................................59
6.E.3. Saving the Magnetic Field................................................................................59
6.E.4. Parameter Scans............................................................................................... 59
6.E.5. Setting the Mode Calculation Length...............................................................60
6.F. References..........................................................................................................................60
Chapter 7: Advanced Simulation Features
61
7.A. Incorporating Polarization Effects (Vector BPM)............................................................ 61
7.A.1. Vector Simulation Options.............................................................................. 61
7.A.2. 2D Vector BPM............................................................................................... 62
7.A.3. 3D Vector BPM............................................................................................... 63
7.A.4. Manipulating the Polarization of the Launch Field......................................... 63
7.A.5. Vector BPM and the Effective Index Calculation Option............................... 66
7.B. Advanced Numerical Options........................................................................................... 66
iv • Contents
BeamPROP 8.1 User Guide
7.B.1. BPM Options....................................................................................................67
7.B.2. Boundary Conditions....................................................................................... 70
7.C. Bidirectional Calculation Options..................................................................................... 71
7.C.1. Background...................................................................................................... 71
7.C.2. Enabling a Bidirectional BPM Simulation.......................................................72
7.C.3. Bidirectional Parameters..................................................................................72
7.D. Defining Simulation Regions............................................................................................74
7.D.1. Why Use a Simulation Region?.......................................................................74
7.D.2. Defining a Simulation Region......................................................................... 74
7.E. Anisotropy, Non-Linearity, and Dispersion...................................................................... 75
7.F. Radial BPM........................................................................................................................75
7.F.1 Using Radial BPM.............................................................................................76
7.F.2. Displaying 3D Results......................................................................................76
7.G. Effective Index Calculations............................................................................................. 76
Chapter 8: Basic Tutorials
79
Basic Tutorial 1: Basic 2D Simulation.....................................................................................79
CAD Window Basics..................................................................................................79
Creating a New Circuit............................................................................................... 80
Creating Variables via the Symbol Table...................................................................82
Adding the Waveguide............................................................................................... 83
Choosing the Excitation..............................................................................................84
Adding a Pathway.......................................................................................................86
Adding a Monitor....................................................................................................... 86
Performing the Simulation..........................................................................................87
The Simulation Window.............................................................................................88
Accessing Saved Data.................................................................................................88
Areas for Further Exploration:....................................................................................90
Basic Tutorial 2: Basic 3D Simulation.....................................................................................91
3D Specific CAD Options.......................................................................................... 91
Creating Variables...................................................................................................... 92
Adding the Fiber Segment..........................................................................................93
Viewing the Structure in 3D.......................................................................................93
Checking the Index Profile......................................................................................... 93
Choosing the Excitation Field.................................................................................... 95
Adding a Pathway and Monitor..................................................................................95
Performing the Simulation..........................................................................................96
Accessing Saved Data.................................................................................................97
Areas for Further Exploration.....................................................................................97
Chapter 9: Tutorial Examples
99
Tutorial 1: Simulating Multilayer Structures............................................................................ 99
Structure Overview.....................................................................................................99
Creating the Structure.................................................................................................99
Computing Modes.................................................................................................... 103
Fiber to Waveguide Analysis....................................................................................103
Areas for Further Exploration...................................................................................108
Tutorial 2: Using Simulated Bends.........................................................................................109
Computing Modes of Simulated Bends....................................................................109
Computing Optimal Offsets for an S-Bend.............................................................. 110
Comparison between actual S-Bend and Simulated S-Bend....................................111
Areas for Further Exploration...................................................................................114
Tutorial 3: Multimode Interference (MMI) Devices...............................................................115
Creating the Structure...............................................................................................115
BeamPROP 8.1 User Guide
Contents • iii
Analysis Setup.......................................................................................................... 117
Performing the Simulation........................................................................................118
Areas for Further Exploration...................................................................................119
Tutorial 4: Nonlinear Coupler.................................................................................................121
Structure Overview...................................................................................................121
Performing a Simulation...........................................................................................121
Tutorial 5: Using Multiple Launch Fields...............................................................................123
Structure Overview...................................................................................................123
Simulating with Multiple Launch Fields.................................................................. 123
Tutorial 6: Simulating Anisotropic Devices........................................................................... 125
Faraday Rotator........................................................................................................ 125
Half Wave Plate Example.........................................................................................126
Areas for Further Exploration...................................................................................128
Tutorial 7: Using Wide-Angle BPM.......................................................................................129
Device Layout...........................................................................................................129
Exploring Wide-Angle Propagation......................................................................... 130
Closing Remarks.......................................................................................................132
Areas for Further Exploration...................................................................................132
Tutorial 8: Modeling Gratings Using Bidirectional BPM.......................................................133
Device Overview...................................................................................................... 133
Performing a Simulation...........................................................................................134
Areas for Further Exploration...................................................................................136
Tutorial 9: Mach-Zhender Electro-Optical Modulator........................................................... 137
Structure Overview...................................................................................................137
Testing the Electrodes...............................................................................................138
Performing a Simulation...........................................................................................139
Areas for Further Exploration...................................................................................140
Tutorial 10: Designing a Mode Converter............................................................................. 141
Device Overview...................................................................................................... 141
Performing a Simulation...........................................................................................142
Areas for Further Exploration...................................................................................143
Tutorial 11: Using the Simulation Region Feature................................................................ 145
Structure Overview...................................................................................................145
Performing a Simulation...........................................................................................145
Performing a Simulation with a Simulation Region.................................................146
Areas for Further Exploration...................................................................................147
Chapter 10: Mode Solving Tutorials
149
Mode Tutorial 1: Using the Iterative Method........................................................................ 149
Modes of a Simple 2D Slab...................................................................................... 149
Modes of a Simple 3D Buried Channel....................................................................151
Performing Convergence Studies............................................................................. 153
Areas for Further Exploration...................................................................................156
Mode Tutorial 2: Using the Correlation Method................................................................... 157
Modes of a Simple 2D Slab...................................................................................... 157
Modes of a Simple Fiber Structure...........................................................................160
Areas for Further Exploration...................................................................................162
Mode Tutorial 3: Computing the Mode Cutoff......................................................................163
Creating the Structure...............................................................................................163
Setting Simulation Parameters..................................................................................163
Parameter Scan for Mode Cutoff..............................................................................164
Areas for Further Exploration...................................................................................165
Mode Tutorial 4: Dispersion in Single Mode Silica Fibers................................................... 167
Creating the Structure...............................................................................................167
Computing Dispersion with MOST.......................................................................... 168
iv • Contents
BeamPROP 8.1 User Guide
Areas for Further Exploration...................................................................................170
Mode Tutorial 5: Index Guided Photonic Crystal Fibers.......................................................171
Creating the PCF Structure.......................................................................................171
Computing the PCF Mode........................................................................................ 172
Exploring the Single-Mode Condition......................................................................173
Areas for Further Exploration...................................................................................175
Mode Tutorial 6: Leaky Modes of a Rib Waveguide.............................................................177
Creating the Structure...............................................................................................177
Computing the Mode................................................................................................ 179
Areas for Further Exploration...................................................................................180
Mode Tutorial 7: Modes with a Non-Uniform Grid.............................................................. 181
Structure Overview...................................................................................................181
Advantages of Using a Non-Uniform Grid for this Structure.................................. 181
Creating a Non-Uniform Grid...................................................................................182
Modes with a Non-Uniform Grid............................................................................. 183
Modes with a Uniform Grid......................................................................................184
Comparing the Results..............................................................................................184
Appendix A: Tips and Traps in BeamPROP
187
Common BeamPROP mistakes...............................................................................................187
Some Good BeamPROP habits to learn..................................................................................187
Appendix B: BeamPROP File Formats
189
Index (*.ind) File Format........................................................................................................ 189
Graph File Format...................................................................................................................189
Standard RSoft File Format.................................................................................................... 190
Monitor File Format................................................................................................................190
Correlation File Format...........................................................................................................190
Mode Spectrum File Format................................................................................................... 191
Mode Results (Effective Index) File Format...........................................................................191
*.mds File Format................................................................................................................... 191
Mode Field File Format.......................................................................................................... 192
Refractive Index and Loss Profile File Formats......................................................................192
Electrode/Heater Formats........................................................................................................192
Appendix C: Symbol Table Variables
193
BPM Simulation Parameters...................................................................................................193
Advanced Grid Parameters..................................................................................................... 193
Advanced Numerical Parameters............................................................................................194
Bi-Directional Parameters.......................................................................................................194
Display Options.......................................................................................................................194
Output Options........................................................................................................................195
Launch Parameters..................................................................................................................195
Mode Solving..........................................................................................................................196
Mode Calculation Options........................................................................................196
Advanced Mode Solving Features............................................................................196
Boundary Conditions.............................................................................................................. 196
Additional Features................................................................................................................. 197
Compute Index Profile............................................................................................................ 197
Appendix D: BeamPROP Release Notes
199
Changes from Version 8.0 to Version 8.1...............................................................................199
New Capabilities and Improvements to the Program............................................... 199
BeamPROP 8.1 User Guide
Contents • iii
Significant Changes in Program Behavior................................................................199
Changes from Version 7.0 to Version 8.0...............................................................................199
New Capabilities and Improvements to the Program............................................... 199
Significant Changes in Program Behavior................................................................200
Changes from Version 6.0 to Version 7.0...............................................................................200
New Capabilities and Improvements to the Program............................................... 200
Significant Changes in Program Behavior................................................................200
Changes from Version 5.1 to Version 6.0...............................................................................200
New Capabilities and Improvements to the Program............................................... 200
Significant Changes in Program Behavior................................................................201
Changes from Version 5.0 to Version 5.1...............................................................................202
New Capabilities and Improvements to the Program............................................... 202
Significant Changes in Program Behavior................................................................203
Changes from Version 4.0 to Version 5.0...............................................................................203
New Capabilities and Improvements to the Program............................................... 203
Significant Changes in Program Behavior................................................................205
Changes from Version 3.0 to Version 4.0...............................................................................206
New Capabilities and Improvements to the Program............................................... 206
Significant Changes in Program Behavior................................................................209
Changes from Version 2.1 to Version 3.0...............................................................................210
New Capabilities and Improvements to the Program............................................... 210
Significant Changes in Program Behavior................................................................211
Changes from Version 2.0 to Version 2.1...............................................................................211
New Capabilities and Improvements to the Program............................................... 211
Significant Changes in Program Behavior................................................................212
Changes from Version 1.1 to Version 2.0...............................................................................212
New Capabilities and Improvements to the Program............................................... 212
Significant Changes in Program Behavior................................................................212
Changes from Version 1.0 to Version 1.1...............................................................................213
New Capabilities and Improvements to the Program............................................... 213
Significant Changes in Program Behavior................................................................214
Index
215
iv • Contents
BeamPROP 8.1 User Guide
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