Modulation Pattern Calculation Device for Light Control
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Solution Overview
Problem
Conventional methods for calculating the intensity spectrum of a light pulse using the iterative Fourier method often result in spectra larger than the input light's intensity spectrum, making it difficult to generate the desired intensity spectrum, requiring time-consuming trial and error and skilled effort for high accuracy.
Innovation Solution
A modulation pattern calculation apparatus and method that perform an iterative Fourier transform on a waveform function including intensity and phase spectrum functions, followed by inverse Fourier transform and filtering to constrain the intensity spectrum within the input light's limits, ensuring the intensity spectrum does not exceed the input light's intensity, thereby facilitating easy calculation of the desired intensity spectrum.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Ease of manufacture
If the normal iterative Fourier method is used to calculate the intensity spectrum, then the calculation process is simple, but the calculated intensity spectrum may exceed the input light intensity spectrum, making it difficult to generate the desired light waveform
Solution Approach 1:
The patent applies preliminary action by pre-constraining the intensity spectrum function within the input light intensity spectrum before performing the iterative Fourier transformation. This is achieved by introducing a constraint condition that the intensity spectrum function must satisfy at each iteration step, preventing the calculation from producing unphysical results that exceed the input light's intensity capabilities.
2Measurement precision
If trial and error method is used to determine the intensity spectrum, then high accuracy can be achieved, but time and effort are consumed and skilled operation is required
Solution Approach 1:
The patent implements feedback by automatically evaluating whether the calculated intensity spectrum satisfies the constraint condition (not exceeding the input light intensity spectrum) at each iteration step. The algorithm uses this feedback information to adjust the intensity spectrum function accordingly, continuously improving the solution until convergence is achieved without requiring manual intervention or skilled operation.
Solution Approach 2:
The patent applies self-service by designing an autonomous calculation algorithm that automatically determines the optimal intensity spectrum without requiring external guidance or skilled operation. The system itself performs the iterative optimization, constraint satisfaction, and convergence determination, eliminating the need for human trial and error while achieving high accuracy.
3Reliability
If the intensity spectrum is constrained to not exceed the input light intensity, then the calculated spectrum is physically realizable, but the calculation complexity increases
Solution Approach 1:
The patent applies parameter changes by transforming the intensity spectrum function parameters during the iterative calculation process to satisfy the constraint condition. The algorithm dynamically adjusts the spectral distribution parameters while maintaining the physical realizability constraint, achieving a balance between reliability and computational efficiency through mathematical transformation rather than complex additional hardware or procedures.
Data Source
AI summary
A modulation pattern calculation apparatus includes an iterative Fourier transform unit, a filtering process unit, and a modulation pattern calculation unit. The iterative Fourier transform unit performs a Fourier transform on a waveform function including an intensity spectrum function and a phase spectrum function, performs a replacement of a temporal intensity waveform function based on a desired waveform after the Fourier transform and then performs an inverse Fourier transform, and performs a replacement to constrain the phase spectrum function after the inverse Fourier transform. The filtering process unit performs a filtering process of cutting a part exceeding a cutoff intensity for each wavelength, on the intensity spectrum function in a frequency domain.