Random sources for rotating spectral densities

Mei, Zhangrong; Korotkova, Olga

doi:10.1364/ol.42.000255

Cited by 94 publications

(33 citation statements)

References 27 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Adapting Mei and Korotkova’s 14 twist kernel, we let H be where and is the radian frequency of the light, or carrier wave. We will discuss , , , , and later on in the paper.…”

Section: Methodsmentioning

confidence: 99%

See 1 more Smart Citation

Twisted space-frequency and space-time partially coherent beams

Hyde

2020

Sci Rep

View full text Add to dashboard Cite

We present partially coherent sources that are statistically twisted in the space-frequency and space-time domains. Beginning with the superposition rule for genuine partially coherent sources, we derive source plane expressions for the cross-spectral density (CSD) and mutual coherence functions (MCFs) for twisted space-frequency and space-time Gaussian Schell-model (GSM) beams. Using the Fresnel approximation to the free-space Green’s function, we then paraxially propagate the CSD and MCF to any plane . We discuss the beams’ behavior as they propagate, with particular emphasis on how the beam shape rotates or tumbles versus z . To validate our analysis, we simulate the generation and subsequent propagation of twisted space-frequency and space-time GSM beams. We compare the simulated moments to the corresponding theoretical predictions and find them to be in excellent agreement. Lastly, we describe how to physically synthesize twisted space-frequency and space-time partially coherent sources.

show abstract

“…Adapting Mei and Korotkova’s 14 twist kernel, we let H be where and is the radian frequency of the light, or carrier wave. We will discuss , , , , and later on in the paper.…”

Section: Methodsmentioning

confidence: 99%

“…To generate twisted GSM beams, we choose p to be 10 , 14 , 15 , 18 , 19 , 21 Like H in Eq. ( 2 ), other p can be used, e.g., the multi-Gaussian p in Refs.…”

Section: Methodsmentioning

confidence: 99%

Twisted space-frequency and space-time partially coherent beams

Hyde

2020

Sci Rep

View full text Add to dashboard Cite

show abstract

“…Partially coherent fields can cause several different kinds of modifications to the spatial intensity distribution, such as self-focusing and far-field flat topping, among many others [2][3][4][5][6][7][8][9][10][11][12][13][14][15][16]. However, they are not the only extraordinary phenomena caused by partial coherence; some correlation functions can decrease scintillation in atmospheric turbulence [17], while others increase the resolving power of imaging systems [18,19].…”

Section: Introductionmentioning

confidence: 99%

Temporal self-splitting of optical pulses

et al. 2018

View full text Add to dashboard Cite

We present mathematical models for temporally and spectrally partially coherent pulse trains with LaguerreGaussian and Hermite-Gaussian Schell-model statistics as extensions of the standard Gaussian Schell model for pulse trains. We derive propagation formulas of both classes of pulsed fields in linearly dispersive media and in temporal optical systems. It is found that, in general, both types of fields exhibit time-domain self-splitting upon propagation. The Laguerre-Gaussian model leads to multiply peaked pulses, while the Hermite-Gaussian model leads to doubly peaked pulses, in the temporal far field (in dispersive media) or at the Fourier plane of a temporal system. In both model fields the character of the self-splitting phenomenon depends both on the degree of temporal and spectral coherence and on the power spectrum of the field.

show abstract

“…In Equation (19), B αβ is the complex correlation coefficient between the α and β field components, and δ αβ is related to the width of the cross-correlation function. The H α and p αβ that when substituted into Equation (4) produce Equation 19are…”

Section: Resultsmentioning

confidence: 99%

“…To verify that indeed the E x and E y instances depicted in Figure 3 are representative of the ensemble of all EGPSM field realizations, we compute the Stokes parameters [see Equation (2)] and W (x 1 , 0, x 2 , 0) from 10,000 independent E x and E y realizations. We then compare the simulated results to theory, which we compute using Equation (19) and Table 1.…”

mentioning

confidence: 99%

Synthesizing General Electromagnetic Partially Coherent Sources from Random, Correlated Complex Screens

Hyde

2020

Optics

View full text Add to dashboard Cite

We present a method to generate any genuine electromagnetic partially coherent source (PCS) from correlated, stochastic complex screens. The method described here can be directly implemented on existing spatial-light-modulator-based vector beam generators and can be used in any application which utilizes electromagnetic PCSs. Our method is based on the genuine cross-spectral density matrix criterion. Applying that criterion, we show that stochastic vector field realizations (corresponding to a desired electromagnetic PCS) can be generated by passing correlated Gaussian random numbers through “filters” with space-variant transfer functions. We include step-by-step instructions on how to generate the electromagnetic PCS field realizations. As an example, we simulate the synthesis of a new electromagnetic PCS. Using Monte Carlo analysis, we compute statistical moments from independent optical field realizations and compare those to the corresponding theory. We find that our method produces the desired source—the correct shape, polarization, and coherence properties—within 600 field realizations.

show abstract

Random sources for rotating spectral densities

Cited by 94 publications

References 27 publications

Twisted space-frequency and space-time partially coherent beams

Twisted space-frequency and space-time partially coherent beams

Temporal self-splitting of optical pulses

Synthesizing General Electromagnetic Partially Coherent Sources from Random, Correlated Complex Screens

Contact Info

Product

Resources

About