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It is well known that state transformation from one polarization state to another can be achieved with a minimal gadget consisting of two quarter waveplates. A constructive, geometric approach is presented, which provides a direct…

Optics · Physics 2016-10-27 B. Radhakrishna

We theoretically propose and experimentally demonstrate a novel composite polarization controller. With our design, which comprises two half-wave plates and two quarter-wave plates the retardance and rotation can be changed continuously by…

This paper presents a systematic method for transforming states of polarization (SoPs) into any arbitrary target SoPs, whether linear or elliptical, by determining the precise waveplate rotation angles required for the transformation.…

Optics · Physics 2025-01-28 Joong-Seon Choe , Chun Ju Youn

We propose a technique for performing quantum state tomography of photonic polarization-encoded multi-qubit states. Our method uses a single rotating wave plate, a polarizing beam splitter and two photon-counting detectors per photon mode.…

Quantum Physics · Physics 2013-01-18 Mohammadreza Mohammadi , Agata M. Branczyk , Daniel F. V. James

The wave plate is a basic device for transforming and measuring the polarization states of light. It is known that the transformation of light by means of two wave plates makes it possible to measure the state of polarization in an…

Quantum Physics · Physics 2022-01-12 Yu. I. Bogdanov , B. I. Bantysh , N. A. Bogdanova , M. I. Shakirov , V. F. Lukichev

The combination of two quarter-wave plates and one half-wave plate, regardless of their sequential arrangement, constitutes a well-established universal SU(2) gadget capable of implementing all polarization transformations on the standard…

Optics · Physics 2025-09-16 Mohammad Umar , Paramasivam Senthilkumaran

We show that polarization states of electromagnetic waves can be manipulated easily using a single thin uniaxial crystal plate. By performing a rotational transformation of the coordinates and controlling the thickness of the plate, we can…

Optics · Physics 2017-03-03 Xiaohu Wu , Ceji Fu

A new approach to polarization algebra is introduced. It exploits the geometric properties of spinors in order to represent wave states consistently in arbitrary directions in three dimensional space. In this first expository paper of an…

Optics · Physics 2008-04-07 David Bebbington , Laura Carrea , Ernst Krokager

We show that real polarization method can be effectively used to geometrically quantize physical systems with compact phase space, like the spin. Our method enables us to construct a wave function of a qubit in both position and momentum…

Mathematical Physics · Physics 2015-12-10 Jerzy Kijowski , Piotr Waluk , Katarzyna Senger

Linear birefringence, as implemented in wave plates, is a natural way to control the state of polarization of light. We report on a general method for designing miniature planar wave plates using surface plasmons. The resonant optical…

Optics · Physics 2015-05-18 Aurelien Drezet , Cyriaque Genet , Thomas W. Ebbesen

Polarisation is described by an $SU(2)$ wavefunction due to macroscopic coherence of photons emitted from a ubiquitous laser source, and thus, a laser pulse is expected to behave as a macroscopic quantum bit (qubit), i.e., a qubit realised…

Optics · Physics 2024-06-07 Shinichi Saito

This paper describes the passage of light through a system of waveplates mathematically in terms of quaternions, an extension of the complex numbers, instead of the more usual Jones vectors and Jones matrices. Both the light beam and the…

Signal Processing · Electrical Eng. & Systems 2026-03-27 Michael G. Taylor

We have described a novel way to determine the Mueller matrix of any optical element by using projection method. For this purpose, we have used two universal SU(2) gadgets for polarization optics to obtain projection matrix directly from…

We present an approach to classical polarimetry that requires no moving parts, is compact and robust, and that encodes the complete polarization information on a single data frame, accomplished by replacing the rotation of components such…

Instrumentation and Methods for Astrophysics · Physics 2019-05-29 William B. Sparks , Thomas A. Germer , Rebecca M. Sparks

We discuss the concept of polarization states of four-dimensional quantum systems based on frequency non-degenerate biphoton field. Several quantum tomography protocols were developed and implemented for measurement of an arbitrary state of…

Quantum Physics · Physics 2013-05-29 Yu. I. Bogdanov , E. V. Moreva , G. A. Maslennikov , R. F. Galeev , S. S. Straupe , S. P. Kulik

Any one measurement with polarized light makes it possible to fix the Mueller matrices of the Lorentz type with up to four arbitrary numeric parameters (x, u; z, w). These parameters are subject to the quadratic condition. It is…

Optics · Physics 2012-01-24 E. M. Ovsiyuk , N. V. Gutsko , V. M. Red'kov

We demonstrate that the multipoles associated with the density matrix are truly observable quantities that can be unambiguously determined from intensity moments. Given their correct transformation properties, these multipoles are the…

We consider the problem of implementing mutually unbiased bases (MUB) for a polarization qubit with only one wave plate, the minimum number of wave plates. We show that one wave plate is sufficient to realize two MUB as long as its phase…

Quantum Physics · Physics 2016-03-01 Zhibo Hou , Guoyong Xiang , Daoyi Dong , Chuan-Feng Li , Guang-Can Guo

A geometric view of the polarimetric properties of a nondepolarizing medium is presented by means of a pair of vectors in the Poincar\'e sphere. An alternative representation constituted by a set of vectors contained in the equatorial plane…

Optics · Physics 2016-06-22 José J. Gil , Ignacio San José

The quasi-optical modulation of linear polarization at millimeter and sub-millimeter wavelengths can be achieved by using rotating half wave plates (HWPs) in front of polarization sensitive detectors. Large operational bandwidths are…

Instrumentation and Methods for Astrophysics · Physics 2016-10-04 Giampaolo Pisano , Bruno Maffei , Peter A. R. Ade , Paolo de Bernardis , Peter De Maagt , Brian Ellison , Manju Henry , Ming Wah Ng , Brian Schortt , Carole Tucker
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