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Fundamental Attribution Error01:14

Fundamental Attribution Error

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According to some social psychologists, people tend to overemphasize internal factors as explanations—or attributions—for the behavior of other people. They tend to assume that the behavior of another person is a trait of that person, and to underestimate the power of the situation on the behavior of others. They tend to fail to recognize when the behavior of another is due to situational variables, and thus to the person’s state. This erroneous assumption is...
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What is a Mode?01:07

What is a Mode?

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The mode is one of the commonly used measures of a central tendency. It is defined as the most frequent value in a data set.
There can be more than one mode in a data set if multiple values have the same highest frequency. For instance, suppose that the Statistics exam scores of 20 students are: 50; 53; 59; 59; 63; 63; 72; 72; 72; 72; 72; 76; 78; 81; 83; 84; 84; 84; 90; 93. Here, the mode is 72, as it occurs most frequently, five times.
A data set with two modes is called bimodal. For example,...
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Voltammetry: Stripping Methods01:13

Voltammetry: Stripping Methods

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Anodic Stripping Voltammetry (ASV), Cathodic Stripping Voltammetry (CSV), and Adsorptive Stripping Voltammetry (AdSV) are electrochemical techniques used to determine trace amounts of analytes in solution. These methods involve applying a potential to an electrode and measuring the resulting current.
Anodic Stripping Voltammetry (ASV)
ASV is used to determine metals and metalloids at trace levels. It involves two steps: deposition and stripping. First, a negative potential is applied to the...
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Electrocardiogram Fundamentals01:28

Electrocardiogram Fundamentals

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Introduction
An electrocardiogram (ECG) is a diagnostic tool for identifying cardiac conditions such as arrhythmias, conduction abnormalities, and myocardial ischemia.
Definition
An electrocardiogram (ECG) visualizes the heart's electrical activity by tracing the electrical movement associated with each heartbeat on a graph or monitor. As the heart beats, an electrical wave passes through it, correlating with the cardiac cycle events.
Parts of an ECG
An ECG utilizes electrodes on the skin...
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Fundamental Theorem of Algebra01:30

Fundamental Theorem of Algebra

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The Fundamental Theorem of Algebra is central to the study of polynomial equations, asserting that every non-constant polynomial with complex coefficients has at least one complex zero. This means that a polynomial of degree n ≥ 1, written as:  with an ≠ 0, has at least one solution in the complex number system. Since the set of real numbers is a subset of complex numbers, this theorem applies equally to polynomials with real coefficients.Building on this result, the...
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Fundamental Theorem of Calculus I01:23

Fundamental Theorem of Calculus I

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Solving problems involving definite integrals requires a systematic approach that ensures clarity and efficiency. The first step is understanding the problem by identifying the calculated quantity, whether it involves accumulation, area, or a physical concept like force or probability. It is essential to recognize given conditions, such as the range of integration and any constraints that may affect the solution. Before computing, key properties of definite integrals should be analyzed to...
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Related Experiment Video

Updated: Feb 15, 2026

Design and Characterization Methodology for Efficient Wide Range Tunable MEMS Filters
15:25

Design and Characterization Methodology for Efficient Wide Range Tunable MEMS Filters

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Efficient and tunable strip-to-slot fundamental mode coupling.

Viphretuo Mere, Rakshitha Kallega, Shankar Kumar Selvaraja

    Optics Express
    |January 13, 2018
    PubMed
    Summary

    We developed a new silicon-on-insulator photonic wire-to-slot waveguide coupler. This device achieves 99% coupling efficiency and demonstrates a nearly athermal slot ring resonator for improved thermal stability.

    Area of Science:

    • Photonics
    • Integrated Optics
    • Waveguide Technology

    Background:

    • Efficient coupling between different waveguide modes is crucial for integrated photonic circuits.
    • Silicon-on-insulator (SOI) platforms offer high refractive index contrast for compact photonic devices.
    • Slot waveguides enable strong light confinement, beneficial for sensing and nonlinear applications.

    Purpose of the Study:

    • To present a novel photonic wire-to-slot waveguide coupler.
    • To achieve high coupling efficiency between wire and slot modes.
    • To demonstrate the application of this coupler in a slotted ring resonator with enhanced thermal stability.

    Main Methods:

    • Design and simulation of a mode transformer for phase matching.
    • Fabrication of a coupler comprising a 50/50 power splitter and a tunable phase-matched taper combiner.

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  • Experimental characterization of the wire-to-slot coupling efficiency at 1550 nm.
  • Excitation of a slot mode in a slotted ring resonator and analysis of its thermo-optic response.
  • Main Results:

    • Theoretical and experimental wire-to-slot coupling efficiency of 99% achieved.
    • Successful excitation of a slot mode in a slotted ring resonator.
    • Demonstration of a nearly athermal behavior for a PMMA-filled slot ring (12.8 pm/°C) compared to an air-clad slot waveguide (43.5 pm/°C).

    Conclusions:

    • The proposed photonic wire-to-slot waveguide coupler enables highly efficient light transfer.
    • The demonstrated slotted ring resonator exhibits significantly improved thermal stability, beneficial for photonic integrated circuits.
    • This technology holds promise for advanced photonic applications requiring efficient mode conversion and thermal management.