Related Experiment Video
Updated: Jun 14, 2026

08:39
Shaping the Amplitude and Phase of Laser Beams by Using a Phase-only Spatial Light Modulator
Published on: January 28, 2019
Summary
Designing multilayer reflectors with specific phase retardance is simplified using a new graphical technique. This method visualizes phase properties, aiding in the analysis and design of optical reflectors.
Area of Science:
- Optics and Photonics
- Materials Science
Background:
- Multilayer reflectors exhibit different phase shifts for two polarization planes at nonnormal incidence, a phenomenon known as phase retardance.
- Phase retardance is dependent on multilayer design, incidence angle, and wavelength.
- Traditional design of reflectors with specific phase retardance relies on computer optimization, except for single layers on metal substrates.
Purpose of the Study:
- To introduce a graphical technique for designing and analyzing multilayer reflectors with specified phase retardance.
- To provide a visualization tool for understanding phase properties based on layer thickness, index, and material composition.
Main Methods:
- Development and application of a phase retardance (D) vs. average phase shift (A) graph.
- Utilizing D-A graphs to predict phase properties of single layers and superposing graphs for multilayer reflector performance analysis.
Main Results:
- The D-A graph effectively visualizes and predicts the phase properties of reflectors as a function of added layer index and thickness.
- Superposition of D-A graphs allows for the prediction of composite performance in multilayer reflectors.
Conclusions:
- The graphical technique offers a powerful and intuitive method for designing optical reflectors with precise phase retardance.
- This approach simplifies the analysis and design process for multilayer reflectors, moving beyond traditional computer optimization for complex designs.
More Related Videos
Related Concept Videos
Phase-lead and Phase-lag Controllers
Understanding the working function of different types of controllers can be illustrated with practical analogies, such as adjusting a stereo's volume equalizer. Cranking up the bass involves a phase-lead controller, which functions as a high-pass filter, while increasing the treble uses a phase-lag controller, which acts as a low-pass filter. PD controllers, similar to high-pass filters, enhance the system's response to high-frequency components. PI controllers, akin to low-pass filters, manage...
Time and frequency -Domain Interpretation of Phase-lead Control
Phase-lead controllers are commonly used in various control systems to enhance response speed and stability. Adjusting the brightness on a television screen offers a practical example of phase-lead control. When contrast is enhanced, a phase-lead controller is employed. Mathematically, phase-lead control is identified when the first parameter is smaller than the second.
The design of phase-lead control involves the strategic placement of poles and zeros to balance steady-state error and system...
The design of phase-lead control involves the strategic placement of poles and zeros to balance steady-state error and system...
Time and frequency -Domain Interpretation of Phase-lag Control
Phase-lag controllers are widely used in control systems to improve stability and reduce steady-state errors. A dimmer switch controlling the brightness of a light bulb serves as a practical example of phase-lag control, gradually adjusting the bulb's brightness. Mathematically, phase-lag control or low-pass filtering is represented when the factor 'a' is less than 1.
Phase-lag controllers do not place a pole at zero, but instead influence the steady-state error by amplifying any finite,...
Phase-lag controllers do not place a pole at zero, but instead influence the steady-state error by amplifying any finite,...
Series Impedances: Three-Phase Line
Calculating series impedances for a three-phase overhead line involves evaluating resistances and inductive reactances in a network with three-phase and multiple neutral conductors grounded at regular intervals.
Using Kirchhoff's laws, an integro-differential equation for the network is derived. This equation accounts for unbalanced phase currents, which may induce return currents through neutral wires and the earth, seeking the least impedance path. Earth return conductors can replace the...
Using Kirchhoff's laws, an integro-differential equation for the network is derived. This equation accounts for unbalanced phase currents, which may induce return currents through neutral wires and the earth, seeking the least impedance path. Earth return conductors can replace the...
Design Example: Capacitance Multiplier Circuit
In integrated circuit technology, a capacitance multiplier is often utilized to produce a larger capacitance value when a small physical capacitance falls short. This is achieved by a circuit that multiplies capacitance values by a factor of up to 1000, such that a 10-pF capacitor can replicate the performance of a 100-nF capacitor.
The circuit illustrated in Figure 1 below incorporates two op-amps, with the first operating as a voltage follower and the second acting as an inverting amplifier.
The circuit illustrated in Figure 1 below incorporates two op-amps, with the first operating as a voltage follower and the second acting as an inverting amplifier.
Bewley Lattice Diagram
The Bewley lattice diagram, developed by L. V. Bewley, effectively organizes the reflections occurring during transmission-line transients. It visually represents how voltage waves propagate and reflect within a transmission line, making it easier to understand the complex interactions that occur.

