3. Explanatory images for the Tutorial Applet Based on the Half-Wave Zone Model: Visualizing Near-Field Single-Slit Diffraction

Autor:Roman Chijner

Explanatory images for the Tutorial Applet Based on the Half-Wave Zone Model: Visualizing Near-Field Single-Slit Diffraction

[size=85][b]Heatmap for the case of a horizontally oriented slit:
[/b] b=15, λ=1 yo=40, xo=8, Coloring: c=4 [/size] — Heatmap for the case of a horizontally oriented slit: b=15, λ=1 yo=40, xo=8, Coloring: c=4

[size=85][b]Heat map for the case of a vertically oriented slit[/b]:
b=15, λ=1 xo=90, yo=10, Coloring: c=1 [/size] — Heat map for the case of a vertically oriented slit: b=15, λ=1 xo=90, yo=10, Coloring: c=1

[size=85] Resultant phasors and amplitudes for half-period zones at point A(x, y), calculated using the Kirchhoff diffraction integral for a [i]horizontal[/i] slit, with zone dimensions determined according to the proposed model.[/size] — Resultant phasors and amplitudes for half-period zones at point A(x, y), calculated using the Kirchhoff diffraction integral for a horizontal slit, with zone dimensions determined according to the proposed model.

[size=85]Same vector diagram, but..
Resultant phasors and amplitudes for half-period zones at point A(x, y), calculated using the Kirchhoff diffraction integral for a [i]vertical slit[/i], with zone dimensions determined according to the proposed model. [/size] — Same vector diagram, but.. Resultant phasors and amplitudes for half-period zones at point A(x, y), calculated using the Kirchhoff diffraction integral for a vertical slit, with zone dimensions determined according to the proposed model.

[size=85] Three distinct classes of extremal point trajectories, represented by [color=#ff0000]hyperbolic-[/color][color=#0000ff] hyperbolic[/color], [color=#bf9000]parabolic[/color], and [color=#ff00ff]focal[/color] implicit curves.
Hyperbolic curves are, as it were, curves of [b][i][color=#ff0000]constructive[/color][/i][/b] and [b][i][color=#0000ff]destructive[/color][/i][/b] interference of 2 sources ([b][color=#ff0000]☀[/color][/b]) located at the ends of the slit.[/size] — Three distinct classes of extremal point trajectories, represented by hyperbolic- hyperbolic, parabolic, and focal implicit curves. Hyperbolic curves are, as it were, curves of constructive and destructive interference of 2 sources (☀) located at the ends of the slit.

[size=85] Previous figure with a [b]Heatmap[/b] of the diffraction field superimposed.[/size] — Previous figure with a Heatmap of the diffraction field superimposed.

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