Transformation Medium Extended Depth of Field Focusing
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Solution Overview
Problem
Current transformation optics devices face limitations in achieving an extended depth of field for electromagnetic waves, which restricts their ability to focus and adjust electromagnetic fields effectively across varying spatial regions.
Innovation Solution
The implementation of a field-adjusting structure with a transformation medium that applies a coordinate transformation, such as spatial dilation, to extend the depth of field beyond the nominal depth, allowing for a broader range of electromagnetic energy convergence and focus adjustment.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If transformation optics devices are used for focusing electromagnetic waves, then the concentration of electromagnetic energy is improved, but the depth of field remains limited to a nominal value
Solution Approach 1:
The patent applies coordinate transformation in a fourth dimension (time) to extend the depth of field. By transforming the spacetime coordinates rather than just spatial coordinates, the device creates an extended depth of field that accommodates multiple emitter positions along the optical axis, resolving the contradiction between focusing precision and depth of field limitation.
Solution Approach 2:
The patent changes the electromagnetic parameters (permittivity and permeability) of the transformation medium according to a specific coordinate transformation. This parameter variation allows the medium to extend the depth of field while maintaining focusing capabilities, enabling both precise energy concentration and extended operational range.
2Adaptability or versatility
If the depth of field is extended using transformation medium, then the number of accommodated emitters is increased, but the device complexity increases
Solution Approach 1:
The transformation medium is divided into multiple discrete elements or layers, each contributing to the overall coordinate transformation. This segmentation allows the complex transformation to be achieved through simpler, modular components that can be independently fabricated and positioned, reducing overall device complexity while maintaining extended depth of field functionality.
Applied Scientific Principles
This section explains which scientific principles are used to turn an abstract innovation direction into a practical engineering solution.
Function Achieved in This Case
This solution enables the field-adjusting structure to accommodate more electromagnetic emitters and provide a significantly extended depth of field, enhancing the focusing capabilities and field adjustment for electromagnetic waves across different frequencies and polarizations.
Implementation Method 1
a field-adjusting structure with a transformation medium that applies a coordinate transformation, such as spatial dilation, to extend the depth of field beyond the nominal depth
Implementation Method 2
enhances the focusing capabilities by increasing the actual depth of field, enabling more emitters to be accommodated and improving the concentration of electromagnetic energy within a specified region
Data Source
AI summary
Apparatus, methods, and systems provide emitting, field-adjusting, and focusing of electromagnetic energy. In some approaches the field-adjusting includes providing an extended depth of field greater than a nominal depth of field. In some approaches the field-adjusting includes field-adjusting with a transformation medium, where the transformation medium may include an artificially-structured material such as a metamaterial.