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Related Concept Videos

Linear Circuits01:17

Linear Circuits

A linear circuit is characterized by its output having a direct proportionality to its input, adhering to the linearity property, which encompasses the principles of homogeneity (scaling) and additivity. Homogeneity dictates that when the input, also referred to as the excitation, is multiplied by a constant factor, the output, known as the response, is correspondingly scaled by the same constant factor. For instance, if the current is multiplied by a constant 'k,' the voltage likewise...
Linear Approximation in Frequency Domain01:26

Linear Approximation in Frequency Domain

Linear systems are characterized by two main properties: superposition and homogeneity. Superposition allows the response to multiple inputs to be the sum of the responses to each individual input. Homogeneity ensures that scaling an input by a scalar results in the response being scaled by the same scalar.
In contrast, nonlinear systems do not inherently possess these properties. However, for small deviations around an operating point, a nonlinear system can often be approximated as linear.
Classification of Systems-I01:26

Classification of Systems-I

Linearity is a system property characterized by a direct input-output relationship, combining homogeneity and additivity.
Homogeneity dictates that if an input x(t) is multiplied by a constant c, the output y(t) is multiplied by the same constant. Mathematically, this is expressed as:
Linear time-invariant Systems01:23

Linear time-invariant Systems

A system is linear if it displays the characteristics of homogeneity and additivity, together termed the superposition property. This principle is fundamental in all linear systems. Linear time-invariant (LTI) systems include systems with linear elements and constant parameters.
The input-output behavior of an LTI system can be fully defined by its response to an impulsive excitation at its input. Once this impulse response is known, the system's reaction to any other input can be calculated...
Equivalent Resistance01:16

Equivalent Resistance

In circuit analysis, situations often arise where resistors are neither in series nor parallel configurations. To tackle such scenarios, three-terminal equivalent networks like the wye (Y) (Figure 1 (a)) or tee (T) and delta (Δ) (Figure 1 (b)) or pi (π) networks come into play. These networks offer versatile solutions and are frequently encountered in various applications, including three-phase electrical systems, electrical filters, and matching networks.
Bewley Lattice Diagram01:12

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.

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Related Experiment Video

Updated: Jun 16, 2026

Characterization of SiN Integrated Optical Phased Arrays on a Wafer-Scale Test Station
05:57

Characterization of SiN Integrated Optical Phased Arrays on a Wafer-Scale Test Station

Published on: April 1, 2020

Analogy between linear optical systems and linear two-port electrical networks.

R M Azzam, N M Bashara

    Applied Optics
    |February 2, 2010
    PubMed
    Summary

    This study reveals a strong analogy between linear optical systems and electrical networks, enabling reciprocal simulation. This finding unifies methods for analyzing these systems and exploring new applications.

    Area of Science:

    • Physics
    • Electrical Engineering
    • Optics
    • Acoustics

    Background:

    • Linear optical systems and linear two-port electrical networks both transform oscillating quantities.
    • The mapping of polarization in optical systems and impedance/admittance in electrical networks can be described by bilinear transformations.

    Purpose of the Study:

    • To explore the analogy between linear optical systems and linear two-port electrical networks.
    • To demonstrate the reciprocal simulation capabilities between optical and electrical systems.
    • To identify optical analogs for linear mechanoacoustic systems.

    Main Methods:

    • Describing polarization mapping in optical systems using bilinear transformations.
    • Synthesizing two-port electrical networks with impedance/admittance mapping properties analogous to optical systems.

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  • Considering the inverse problem of finding optical analogs for electrical networks.

    • Main Results:

    • A direct analogy exists between the transfer properties of linear optical systems and linear two-port electrical networks.
    • Bilinear transformations effectively describe the mapping of polarization and impedance/admittance.
    • Reciprocal simulation of electrical networks by optical systems and vice versa is feasible.

    Conclusions:

    • The identified analogy unifies the analysis methods for optical and electrical systems.
    • This analogy offers a fruitful approach for reciprocal simulation and exploring new system designs.
    • Linear mechanoacoustic systems also possess optical analogs, broadening the scope of this analogy.