- Derivation of Born's rule from transparent interferometric principles (2024) [1].

- Design of
*N*-slit quantum interferometers in the nanometer domain for femtophotonics applications (2023) [2].

- Identified coherent emission from electrically-pumped organic semiconductors as intrinsic quantum coherence (2022) [3].

- Derivation of the direct mathematical link between the probability amplitudes of quantum entanglement with Pauli matrices and Hadamard-class matrices (2019-2021) [4, 5, 6].

- Generalization of the
*N*-slit interferometric methodology to derive quantum entanglement probability amplitudes for n = N = 2, 4, 8, 16 ... and n = N = 3, 6, 9... (2017) [7].

- Transparent physical description, without using Bell's theorem, neutralizing the EPR paradox (2013) [8].

- Derivation of the probability amplitude for quantum entanglement from a transparent
*N*-slit interferometric perspective (2013) [9].

- Very large
*N*-slit laser interferometers, in the 30-530 m range, and to superimpose fine diffraction profiles on propagating interferograms. These very large*N*-slit interferometers were applied to measure clear-air turbulence (2010-2013) [10, 11].

- Extension of the generalized multiple-prism dispersion theory to high-order (4th, 5th,... 9th) dispersions applicable to laser-pulse compression and nonlinear optics (2009) [12].

- Multiple-prism dispersion theory for positive and negative refraction (2006) [13].

- First report on high-visibility coherent emission from an electrically-pumped organic semiconductor within an interferometric configuration (2005) [14].

- Derivation of Heisenberg's Uncertainty Principle from the generalized
*N*-slit quantum interferometric probability (2003) [15].

- Organic polymer-nanoparticle laser emission (2003) [16].

- Introduction of interferometric characters for secure space-to-space communications (2002) [17].

- First lithium isotope separation using narrow-linewidth tunable diode lasers (2002) [18].

- Single-longitudinal-mode tunable solid-state dye laser oscillator emitting at the limit allowed by Heisenberg's
uncertainty principle (1999) [19].

- Unified interference, diffraction, refraction, and reflection, via Dirac's notation (1997) [20].

- Demonstration of the first single-longitudinal-mode solid-state tunable dye laser oscillator (1994) [21].

- Ruggedized single-longitudinal-mode tunable laser oscillator in the visible (1991) [22].

- Invention of the multiple-prism collinear polarization rotator (1989) [23].

- Control of linewidth instabilities in narrow-linewidth tunable lasers (1988-1990) [24, 25].

- Physics of the
*N*-slit laser interferometer photon propagation via Dirac's quantum notation, applicable to single photons and ensembles of indistinguishable photons, leading to the generalized*N*-slit interferometric equation (1987-1991) [26-29].

- Introduction of extremely-elongated laser Gaussian beams, width to height ratios of up to 3000:1, for imaging, microdensitometry, and microscopy applications. This class of illumination is also now known as light-sheet illumination (1987-1991) [28, 29].

- Invention of the
*N*-slit laser interferometer (1987) [26-29].

- Extension of the multiple-prism dispersion theory to higher derivatives for laser-pulse compression (1987) [30].

- Single-longitudinal-mode oscillation in long-pulse high-energy tunable lasers (1986) [31].

- Multiple-prism grating and multiple-prism near grazing-incidence grating oscillators in high-power CO
_{2}laser cavities (1985) [32].

*Variable linewidth*narrow-linewidth high-power CO_{2}laser (1985) [33].

- Demonstration of single-longitudinal-mode laser oscillation using multiple-prism near grazing-incidence grating oscillators under high-repetition copper-laser excitation (1982-1984) [34].

- Generelized multiple-prism grating dispersion theory (1982) [35].

- Multiple-prism near grazing-incidence grating narrow-linewidth tunable laser oscillator (1981) [36].

- Derivation of the correct Fourier-theory heat-transfer equation for radial heat-flow in a sphere (1979) [37].

### References

- F J Duarte and K M Vaeth, in
*Organic Lasers and Organic Photonics*(Institute of Physics, Bristol, 2024) Chapter 16.

- F J Duarte and I E Olivares,
*N*-slit quantum interferometers in the nanometer domain*Applied Physics B***129**88 (2023)

- F J Duarte and T S Taylor, Quantum coherence in electrically-pumped organic interferometric emitters
*Applied Physics B***128**11 (2022)

- F J Duarte and T S Taylor,
*Quantum Entanglement Engineering and Applications*(Institute of Physics, Bristol, 2021)

- F J Duarte, T S Taylor, J C Slaten, On the probability amplitude of quantum entanglement and the Pauli matrices
*Optics and Quantum Electronics***52**106 (2020)

- F J Duarte,
*Fundamentals of Quantum Entanglement*(Institute of Physics, Bristol, 2019)

- F J Duarte and T S Taylor, Quantum entanglement probability amplitudes in multiple propagation channels: an interferometric approach
*Optik***139**222-230 (2017)

- F J Duarte,
*Quantum Optics for Engineers*(CRC, New York, 2014)

- F J Duarte, The probability amplitude for entangled polarizations: an interferometric approach
*Journal of Modern Optics***60**1585-1587 (2013)

- F J Duarte, T S Taylor, A M Black, I E Olivares, Diffractive patterns superimposed over propagating
*N*-slit interferograms*Journal of Modern Optics***60**136-140 (2013)

- F J Duarte, T S Taylor, A M Black, W E Davenport, P G Varmette
*N*-slit interferometer for secure free-space optical communications: 527 m intra interferometric path length*Journal of Optics***13**035710 (2011)

- F J Duarte, Generalized multiple-prism dispersion theory for laser pulse compression: higher order phase derivatives
*Applied Physics B***96**809-814 (2009)

- F J Duarte, Multiple-prism dispersion equations for positive and negative refraction,
*Applied Physics B***82**35-38 (2006)

- F J Duarte, L S Liao, K M Vaeth, Coherence characteristics of
electrically excited tandem organic light-emitting diodes
*Optics Letters***30**3072-3074 (2005)

- F J Duarte,
*Tunable Laser Optics*(Elsevier Academic, New York, 2003)

- F J Duarte and R O James, Tunable solid-state lasers incorporating dye-doped polymer-nanoparticle gain media
*Optics Letters***28**2088-2090 (2003)

- F J Duarte, Secure interferometric communications in free space
*Optics Communications***205**313-319 (2002)

- I. E. Olivares, A. E. Duarte, E. A. Saravia, F. J. Duarte, Lithium isotope separation with tunable diode lasers
*Applied Optics***41**2973-2977 (2002)

- F J Duarte, Multiple-prism grating solid-state dye laser oscillator: optimized architecture
*Applied Optics***38**6347-6349 (1999)

- F J Duarte, Interference, diffraction, and refraction, via Dirac's notation
*American Journal of Physics***65**637-640 (1997)

- F J Duarte, Solid-state multiple-prism grating dye-laser oscillators
*Applied Optics***33**3857-3860 (1994)

- F J Duarte, W E Davenport, J J Ehrlich, T S Taylor, Ruggedized narrow-linewidth dispersive dye laser oscillator
*Optics Communications***84**310-316 (1991)

- F J Duarte, Optical device for rotating the polarization of a light beam
*US Patent*4822150 (1989)

- F J Duarte, J J Ehrlich, W E Davenport, T S Taylor, Flashlamp pumped narrow-linewidth dispersive dye laser oscillators: very low amplified spontaneous emission levels and reduction of linewidth instabilities
*Applied Optics***29**3176-3179 (1990)

- F J Duarte, J J Ehrlich, S P Patterson, S D Russell, J E Adams, Linewidth instabilities in narrow-linewidth flashlamp-pumped dye laser oscillators
*Applied Optics***27**843-846 (1988)

- F J Duarte, in
*High Power Dye Lasers*(Springer, Berlin, 1991) Chapter 2

- F J Duarte, On a generalized interference equation and interferometric measurements
*Optics Communications***103**8-14 (1993)

- F J Duarte, Electro-optical interferometric microdensitometer system
*US Patent*5255069 (1993)

- F J Duarte, Beam shaping with telescopes and multiple-prism beam expanders
*Journal of the Optical Society of America A***4**P30 (1987)

- F. J. Duarte, Generalized multiple-prism dispersion theory for pulse compression in ultrafast dye lasers
*Optics and Quantum Electronics***19**223-229 (1987)

- F J Duarte and R W Conrad, Single-mode flashlamp-pumped dye laser oscillators
*Applied Optics***25**663-665 (1986)

- F J Duarte, Multiple-prism Littrow and grazing-incidence pulsed CO
_{2}lasers*Applied Optics***24**1244-1245 (1985)

- F J Duarte, Variable linewidth high-power TEA CO
_{2}laser*Applied Optics***24**34-37 (1985)

- F J Duarte and J A Piper, Narrow-linewidth high prf copper laser-pumped dye-laser oscillators
*Applied Optics***23**1391-1394 (1984)

- F J Duarte and J A Piper, Dispersion theory of multiple-prism beam expanders for pulsed dye lasers
*Optics Communications***43**303-307 (1982)

- F J Duarte and J A Piper, Prism pre-expanded grazing-incidence grating cavity for pulsed dye lasers
*Applied Optics***20**2113-2116 (1981)

- J Unsworth and F J Duarte, Heat diffusion in a solid sphere and fourier theory: an elementary practical example
*American Journal of Physics***47**981-983 (1979)

Published on the

*9th of January, 2015*; updated on the*15th of September, 2024.*

- F J Duarte and K M Vaeth, in