Devising genuine spatial correlation functions

Gori, F.; Santarsiero, Massimo

doi:10.1364/ol.32.003531

Cited by 432 publications

(189 citation statements)

References 12 publications

Supporting

Mentioning

188

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%

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

“…As a typical correlation source, the Schell-model source with a Gaussian correlation function has been extensively studied both in theory and in experiments over the past decades [4][5][6][7][8][9] . Since Gori proposed a sufficient condition for the generation of genuine correlation functions based on a non-negative definiteness [10] , a variety of correlation functions have been proposed, both theoretically and experimentally. Beams generated by non-uniform correlation sources have found various unique properties in terms of self-accelerating, selffocusing and special beam profiles in terms of dark hollow, flat-topped and rectangular frame, etc.…”

mentioning

confidence: 99%

Vector properties of a tunable random electromagnetic beam in non-Kolmogrov turbulence

Wang

Zhu

2016

中国光学快报

View full text Add to dashboard Cite

Analytical formulas for a class of tunable random electromagnetic beams propagating in a turbulent atmosphere through a complex optical system are derived with the help of a tensor method. One finds that the far field intensity distribution is tunable by modulating the source correlation structure function. The on-axis spectral degree of polarization monotonically increases to the same value for different values of order M in free space while it returns to the initial value after propagating a sufficient distance in turbulence. Furthermore, it is revealed that the state of polarization is closely determined by the initial correlation structure rather than by the turbulence parameters.OCIS It is well known the spatial correlation structure of random beams significantly affects the propagation intensity distribution [1] . However, only a few correlation function models such as the Schell-model source, Bessel-correlated source, and the Lambertian source have been introduced over the past decades [1][2][3] . As a typical correlation source, the Schell-model source with a Gaussian correlation function has been extensively studied both in theory and in experiments over the past decades [4][5][6][7][8][9] . Since Gori proposed a sufficient condition for the generation of genuine correlation functions based on a non-negative definiteness [10] , a variety of correlation functions have been proposed, both theoretically and experimentally. Beams generated by non-uniform correlation sources have found various unique properties in terms of self-accelerating, selffocusing and special beam profiles in terms of dark hollow, flat-topped and rectangular frame, etc. [11][12][13][14][15][16][17][18][19] . Coherence and polarization are two fundamentals of light fields both in classical and quantum optics. They had been studied separately in literature until James first reported that the spectral degree of polarization (DOP) generally changes on propagation induced by the source correlation property, even in free space [20] . Since Wolf developed a unified theory of coherence and polarization for random electromagnetic beams, it is widely used to determine the statistical properties of random electromagnetic beams in free space as well as in various media [21][22][23][24][25][26][27][28] . Optical communication exhibits various advantages in terms of high speed, high bandwidth, and anti-interference as compared with microwave communication. However, refractive index fluctuations caused by a turbulent atmosphere significantly limit the transmission of optical signals. As a general extension of Kolmogorov turbulence, non-Kolmogorov turbulence has been studied widely both in theory and in experiment in the past decades [29][30][31][32][33][34][35][36][37] . It is verified that random beams are found as a suitable way for reducing the disadvantages induced by a turbulent atmosphere [38][39][40][41][42][43][44][45][46][47][48][49][50][51][52] . Recently, random electromagnetic beams have been reported as a better optimization of scalar r...

show abstract

Devising genuine spatial correlation functions

Abstract: The choice of the mathematical form of spatial correlation functions for optical fields is restricted by the constraint of nonnegative definiteness. We discuss a sufficient condition for ensuring the satisfaction of such a constraint.

Cited by 432 publications

References 12 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

Vector properties of a tunable random electromagnetic beam in non-Kolmogrov turbulence

Contact Info

Product

Resources

About