Focal field computation of an arbitrarily polarized beam using fast Fourier transforms

Boruah, Bosanta R.; Neil, Mark A. A.

doi:10.1016/j.optcom.2009.09.019

Cited by 49 publications

(23 citation statements)

References 24 publications

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“…It should be noted that such space-variant (phase and polarization) beams can be generated by our experimental setup. The focal field of a monochromatic light beam passing through an aplanatic lens is calculated by the vectorial diffraction integral that can be written in terms of a Fourier transform (FT) [20][21][22]. For the sake of simplicity, we restricted our attention to the paraxial focusing in which the longitudinal component of the focal field can be omitted.…”

Section: Principlesmentioning

confidence: 99%

Light field shaping by tailoring both phase and polarization

Hao

Chen

et al. 2014

Appl. Opt.

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We propose a method to generate a vectorial focal field with reconfigurable distributions for both the intensity and polarization state. The three-dimensional focal volume was configured by modulating the phase and polarization of the incident light. The incident light yielding the desired field was determined based on an iterative scheme involving vectorial diffraction calculations and fast Fourier transforms. Optical experiments on vectorial field shaping were performed to validate the feasibility of our method. This method may have applications in optical tweezers, such as for realizing the optical manipulation of particles via polarization modulation in addition to phase control.

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Section: Principlesmentioning

confidence: 99%

Light field shaping by tailoring both phase and polarization

Hao

Chen

et al. 2014

Appl. Opt.

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“…Therefore, in practical applications, one can freely manipulate diffraction patterns of the PFG beam by choosing different f parameters of the initial laser source. Figure 8 depicts the comparison between the results calculated by the direct FFT method [23][24][25][26] and the numerical result (see Eq. (23)), for different reference distances from the source plane.…”

Section: Numerical Examplesmentioning

confidence: 99%

“…The principle of the fast Fourier transform (FFT) method has been explicitly introduced in Refs. [25,26]. In our paper, we can utilize this method to directly perform the integrals in Eqs.…”

Section: Numerical Examplesmentioning

confidence: 99%

Vectorial Structure of a Phase-Flipped Gauss Beam in the Far Field

Li¹,

Chen²,

Xu³

et al. 2010

PIER B

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Abstract-Based on the vectorial angular spectrum representation and the method of stationary phase, internal vectorial structures of a phase-flipped Gauss (PFG) beam diffracting in the far field are derived in analytical forms. The energy flux for the TE term, TM term and the whole beam are derived and depicted by numerical examples. Influences of the f parameter on the whole energy flux distributions are analyzed. Discrepancies of the whole energy flux distributions between the paraxial and non-paraxial cases are shown in detailed manners. Furthermore, influences of the f parameter on discrepancies between two cases are also studied.

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“…Deformation in the focused structure can be due to aberrations. Under realistic experimental conditions, it is inevitable to suffer wavefront aberrations even for the well corrected objectives [15][16][17]. An important investigation was initiated by Braat et al [18] who used extended Nijboer-Zernike representation of the vector field in the focal region of an aberrated high NA optical beam.…”

Section: Introductionmentioning

confidence: 99%