On genuine cross-spectral density matrices

Gori, F.; Ramírez-Sánchez, V; Santarsiero, Massimo; Shirai, Tomohiro

doi:10.1088/1464-4258/11/8/085706

Cited by 184 publications

(95 citation statements)

References 22 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In the space-time domain, partially coherent beam is characterized by the mutual intensity, which is restricted by the nonnegative definiteness requirement and can be expressed in the following form [1][2][3] ,…”

Section: Basic Theory For Constructing Specially Correlated Partiallymentioning

confidence: 99%

“…Recently, modulation of the correlation functions of partially coherent beams has been studied widely [1][2][3][4][5][6][7][8][9] . Correlation function provides a new freedom for manipulating optical field, e.g., creation of light beam with prescribed far-field intensity distribution.…”

Section: Introductionmentioning

confidence: 99%

“…Correlation function provides a new freedom for manipulating optical field, e.g., creation of light beam with prescribed far-field intensity distribution. Various partially coherent beams with prescribed correlation functions have been investigated in both theory and experiment since Gori and collaborators derived the sufficient condition for constructing the genuine correlation functions [2,3] . Recent studies have shown that specially correlated partially coherent beams display many unique but interesting properties, e.g., self-splitting effect appears in a Hermite-Gaussian correlated Schellmodel beam on propagation [9][10][11] , partially coherent beams with multi-Gaussian, Bessel-Gaussian and cosine-Gaussian correlated Schell-model functions exhibit prescribed farfield intensity distributions [12][13][14][15] , Laguerre-Gaussian correlated Schell-model beam produces an optical cage near the focal plane [16,17] .…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Correlation-induced self-focusing and self-shaping effect of a partially coherent beam

Chen

Cai

2016

High Pow Laser Sci Eng

View full text Add to dashboard Cite

A new specially correlated partially coherent beam named nonuniform multi-Gaussian correlated (NMGC) partially coherent beam is introduced. The correlation functions of such beam in x and y directions are different from each other, i.e., nonuniform correlation function in one direction and multi-Gaussian correlated Schell-model function in the other direction. The propagation properties of an NMGC partially coherent beam in free pace are demonstrated, and we find that the intensity distribution of such beam exhibits self-focusing and self-shifting effect in one direction and self-shaping effect in the other direction on propagation. The correlation-induced self-focusing and self-shaping effect will be useful in some applications, where the high power and shaped laser is required, such as material thermal processing and laser carving.

show abstract

Section: Basic Theory For Constructing Specially Correlated Partiallymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Correlation-induced self-focusing and self-shaping effect of a partially coherent beam

Chen

Cai

2016

High Pow Laser Sci Eng

View full text Add to dashboard Cite

show abstract

“…It is well known that a genuine cross-spectral density matrix should meet the non-negative definiteness requirement. Recently, Gori et al [3,4,27] discussed in several papers how to develop a genuine cross-spectral density matrix or a genuine cross-spectral density function. According to their method, we can demonstrate that the cross-spectral density matrix of our simplified AEGSM source indeed meets this requirement, but here we do not provide the proof process because it distracts from the main task in this paper.…”

Section: ͑10͒mentioning

confidence: 99%

“…The electromagnetic Gaussian-Schell model (EGSM) beam is a widely used model beam to study the coherence and polarization properties of random electromagnetic beams. The commonly adopted expression for the elements of the cross-spectral density matrix of an EGSM source is of the following form [2][3][4]: …”

Section: Introductionmentioning

confidence: 99%

Polarization distribution control of anisotropic electromagnetic Gaussian–Schell model beams on free propagation by exploiting correlation properties at the source plane

et al. 2010

View full text Add to dashboard Cite

When propagating in free space, the transversal distribution of the degree of polarization of an anisotropic electromagnetic Gaussian-Schell model (AEGSM) beam will generally undergo a complex evolution process. We find that this transversal distribution of the degree of polarization of an AEGSM beam can be controlled by exploiting the partial correlation properties of the source. The main research of our paper falls into two parts. First, the concept of analogical propagation of the transversal distribution of the degree of polarization is proposed, and the condition for an AEGSM beam having an analogical propagation is obtained. When an AEGSM beam is on analogical propagation, the distribution of the degree of polarization on any cross section of the beam is always similar to that on the source plane, except that the size of the distribution pattern will expand continuously as the propagation distance increases. Second, the far-field transversal distribution of the degree of polarization is considered, and the condition for the far-field transversal polarization distribution of an AE-GSM beam to be always of circularly symmetric shape, no matter how complicated it is on the source, is obtained. Our research is expected to find applications in areas that make use of the polarization properties of random electromagnetic beams.

show abstract

Propagation Properties and Application of Radially Polarized Partially Coherent Twisted Vortex Hermite‐Gaussian Schell‐Model Beams

Pan

Zeng

et al. 2022

Annalen der Physik

View full text Add to dashboard Cite

A class of radially polarized partially coherent twisted vortexHermite-Gaussian Schell-model (RPPCTVHGSM) beams is introduced. The analytical propagation formula for the cross-spectral density matrix of this beam family is derived. It is found the component of the spectral density and the degree of polarization show twist effects upon propagation. Then, such focused beam family's feasibility to accomplish stable 3D optical capture on both low-and high-index particles is theoretically and numerically analyzed. The results show that utilizing the nonzero order RPPCTVHGSM beam has no limit on the refractive index of particles. Compared with the center of the geometric focal plane, real equilibrium points will shift. Finally, the exact offset of the genuine capture point in each direction is obtained by taking the second-order RPPCTVHGSM beam as an example. The applications of the work are envisioned in material surface processing and tracking mobile military.

show abstract

On genuine cross-spectral density matrices

Cited by 184 publications

References 22 publications

Correlation-induced self-focusing and self-shaping effect of a partially coherent beam

Correlation-induced self-focusing and self-shaping effect of a partially coherent beam

Polarization distribution control of anisotropic electromagnetic Gaussian–Schell model beams on free propagation by exploiting correlation properties at the source plane

Propagation Properties and Application of Radially Polarized Partially Coherent Twisted Vortex Hermite‐Gaussian Schell‐Model Beams

Contact Info

Product

Resources

About