Related Experiment Video
Updated: Jun 16, 2026
07:56
A Photonic System for Generating Unconditional Polarization-Entangled Photons Based on Multiple Quantum Interference
Published on: September 5, 2019
Polarization effects in fourier spectroscopy. I: coherency matrix representation
Applied Optics
|January 30, 2010
Summary
This study introduces a general analytical method to evaluate polarization effects in Fourier spectroscopy, applicable to any light polarization state and enabling source characterization. It details optical component efficiencies and signal-to-noise ratio calculations for improved spectroscopic analysis.
Area of Science:
- Optics and Spectroscopy
- Polarization Optics
- Fourier Transform Spectroscopy
Background:
- Fourier spectroscopy is a powerful technique, but polarization effects can introduce significant errors.
- Existing methods may not fully account for arbitrary polarization states of incident light or complex optical components.
Purpose of the Study:
- To develop a general analytical method for evaluating all polarization effects in Fourier spectroscopy.
- To enable the characterization of light source polarization states.
- To derive accurate efficiency and signal-to-noise ratio (SNR) expressions for interferometers.
Main Methods:
- Utilized formalisms of polarization coherency and Jones' matrices.
- Applied the method to arbitrary incident polarization states (complete, random, partial).
- Derived expressions for TE- and TM-mode reflectivity and transmissivity of beam splitters.
Main Results:
- Introduced three distinct efficiency definitions for optical components.
- Derived unique interferometer efficiency expressions for source and detector beams.
- Obtained theoretical SNR expressions accounting for incident polarization and interferometer effects.
Conclusions:
- The developed method provides a comprehensive framework for analyzing polarization in Fourier spectroscopy.
- Accurate characterization of polarization effects is crucial for reliable spectroscopic measurements.
- The findings enable improved understanding and compensation of polarization-induced errors in interferometers.
Related Concept Videos
01:24Properties of Fourier Transform II
The Fourier Transform (FT) is an essential mathematical tool in signal processing, transforming a time-domain signal into its frequency-domain representation. This transformation elucidates the relationship between time and frequency domains through several properties, each revealing unique aspects of signal behavior.
The Frequency Shifting property of Fourier Transforms highlights that a shift in the frequency domain corresponds to a phase shift in the time domain. Mathematically, if x(t) has...
The Frequency Shifting property of Fourier Transforms highlights that a shift in the frequency domain corresponds to a phase shift in the time domain. Mathematically, if x(t) has...
01:21Properties of Fourier Transform I
The application of Fourier Transform properties in radio broadcasting is multifaceted, enabling significant advancements in the way signals are transmitted and received. Key areas where these properties are utilized include simultaneous multi-channel transmission, audio clip speed adjustments, live broadcast delays for different time zones, audio frequency adjustments, and signal demodulation.
In radio broadcasting, multiple audio signals often need to be transmitted simultaneously. The Fourier...
In radio broadcasting, multiple audio signals often need to be transmitted simultaneously. The Fourier...
01:20Properties of Fourier series I
The Fourier series is a powerful tool in signal processing and communications, allowing periodic signals to be expressed as sums of sine and cosine functions. A foundational property of the Fourier series is linearity. If we consider two periodic signals, their linear combination results in a new signal whose Fourier coefficients are simply the corresponding linear combinations of the original signals' coefficients. This property is crucial in applications like frequency modulation (FM) radio,...
01:062D NMR: Homonuclear Correlation Spectroscopy (COSY)
Homonuclear correlation spectroscopy, or COSY, is a 2-dimensional NMR technique that provides information about coupled protons. Typically, the geminal and vicinal coupling are observed. For example, consider the COSY spectrum of ethyl acetate, where its 1D proton NMR spectrum is plotted along the vertical and horizontal axes with their corresponding chemical shift scale. Three spots on the diagonal corresponding to the three peaks in the 1D proton spectrum are called diagonal peaks. The COSY...
01:21Properties of Fourier series II
Time scaling of signals is a crucial concept in signal processing that affects the Fourier series representation without altering its coefficients. The process modifies the fundamental frequency, thereby changing how the series represents the signal over time. This principle is essential in various applications, including audio and image processing, where signal manipulation is frequent. Understanding function symmetries is fundamental to simplifying the Fourier series.
A function f(t) is...
A function f(t) is...
01:29Potential Due to a Polarized Object
A neutral atom consists of a positively charged nucleus surrounded by a negatively charged electron cloud. When placed in an external electric field, the external electric force pulls the electrons and nucleus apart, opposite to the intrinsic attraction between the nucleus and the electrons. The opposing forces balance each other with a slight shift between the center of masses of the nucleus and the electron cloud, resulting in a polarized atom. On the other hand, a few molecules, like water,...