Imaging phase objects with square-root, Foucault, and Hoffman real filters: a comparison

Sagan, Arkadiusz; Nowicki, Slawomir; Buczyński, Ryszard; Kowalczyk, Marek; Szoplik, Tomasz

doi:10.1364/ao.42.005816

Cited by 18 publications

(9 citation statements)

References 18 publications

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“…4. White light interferometry is one of methods that allows to verify a structure and functionality of the phase-only microoptical components [9]. As shown in Fig.…”

Section: Hot Embossing Resultsmentioning

confidence: 99%

Fresnel lens fabrication for MidIR optics and fiberoptic technique by using hot embossing process

et al. 2013

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The main goal of this work was to examine the possibility of fabrication of glassy diffractive optical elements for application in the near-infrared and mid-infrared spectral ranges. In the paper we focused on fabrication of Fresnel lenses with use of the hot embossing process. Lead-bismuth-gallium oxide and tellurite glasses were used in the experiment. Both types of glasses possess high transmittance from the visible up to mid-infrared (0.4÷6.5µm). Fused silica element was used as the mold, which was fabricated with standard ion etching method. The elements presented in this work were fabricated in a static process with the use of low pressure. The quality of the fabricated elements was examined with white light interferometer.

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“…4. White light interferometry is one of methods that allows to verify a structure and functionality of the phase-only microoptical components [9]. As shown in Fig.…”

Section: Hot Embossing Resultsmentioning

confidence: 99%

Fresnel lens fabrication for MidIR optics and fiberoptic technique by using hot embossing process

et al. 2013

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“…4). It is important to note that this method allows only for an estimate of the diffusion to be made and, furthermore, the standard methods for measurement of phase contrast cannot be applied due to the small feature sizes in the PC [19]. composition of the Zr3/XV and SK222 glasses are (in weight %): 40.…”

Section: Novel Technological Approach To Development Of All-dielectrimentioning

confidence: 99%

Superprism effect in all-glass volumetric photonic crystals

Filipkowski¹,

Buczyński

Waddie³

et al. 2012

Opto-Electronics Review

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This paper focuses on the superprism effect which can be obtained in low-contrast photonic crystals. The modelling is related to the newly developed method for all-dielectric photonic crystals. This places material constraints on the simulated crystals which limit the refractive index difference to 0.1 for all-glass photonic crystals and 0.6 for air-glass structures and forces us to focus on hexagonal lattices. The simulations show the existence of superprism effect in both types of structure for realistic glasses. In both cases various linear filling factors are studied in order to maximize the frequency range of the superprism effect. For the air-F2 glass structure it reaches 0.108 normalized frequencies and for the air-NC21 glass structure it reaches 0.99 normalized frequencies for TM polarization. For the double glass structures, the largest range is for the F2/NC21 photonic crystal and spans 0.012 normalized frequencies. In the F2/NC21 crystal the frequency range reaches 0.005 for TE polarization.

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“…12 When the zero order diffraction beam is transmitted the output image intensity is given by the sum of Hilbert transform of the phase function and unity-level background. When the zero order diffraction is blocked in half along x or y axis, the background level decreases 4 times and modulation due to Hilbert transforms becomes twice shallower than in the previous case.…”

Section: Linearly Graded Filtermentioning

confidence: 99%

“…The above definition of a fractional order derivative does not give a slight indication how to implement it optically. In a recent paper, 12 …”

Section: Square Root Filtermentioning

confidence: 99%

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Optimized visualization of phase objects with semiderivative real filters

2004

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There is a need for a frequency-domain real filter that visualizes pure-phase objects with thickness either considerably smaller or much bigger than 2π rad and gives output image irradiance proportional to the first derivative of object phase function for a wide range of phase gradients. We propose to construct a nonlinearly graded filter as a combination of Foucault and the square-root filters. The square root filter in frequency plane corresponds to the semiderivative in object space. Between the two half-planes with binary values of amplitude transmittance a segment with nonlinearly varying transmittance is located. Within this intermediate sector the amplitude transmittance is given with a biased antisymmetrical function whose positive and negative frequency branches are proportional to the square-root of spatial frequencies contained therein. Our simulations show that the modified square root filter visualizes both thin and thick pure phase objects with phase gradients from 0.6π up to more than 60π rad/mm.

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Imaging phase objects with square-root, Foucault, and Hoffman real filters: a comparison

Cited by 18 publications

References 18 publications

Fresnel lens fabrication for MidIR optics and fiberoptic technique by using hot embossing process

Fresnel lens fabrication for MidIR optics and fiberoptic technique by using hot embossing process

Superprism effect in all-glass volumetric photonic crystals

Optimized visualization of phase objects with semiderivative real filters

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