Data For "Restricted Domain Compressive Sensing For Antenna Metrology" To Be Submitted To IEEE Transactions On Signal Processing.
Department of Commerce
@usgov.doc_gov_data_for_restricted_domain_compressive_sensing_214e1763
Department of Commerce
@usgov.doc_gov_data_for_restricted_domain_compressive_sensing_214e1763
This dataset contains CSV files for the figures in the paper titled "Restricted Domain Compressive Sensing for Antenna Metrology".
Organization: Department of Commerce
Last updated: 2025-09-30T05:01:07.559276
Tags: compressive-sensing-far-field-pattern-near-field-pattern-antenna-characterization-wigner-d-func
CREATE TABLE figure_1_data_rgsf_concentrations (
"rgsf_concentration_i_no_relevant_units_defined_by_eqs_21_and_24" BIGINT -- RGSF Concentration I (no Relevant Units) Defined By Eqs. 21 And 24,
"rgsf_concentrations_lambda_i_no_relevant_units_defined_336f2adf" DOUBLE -- RGSF Concentrations \lambda I (no Relevant Units) Defined By Eqs. 21 And 24 With \Theta 1=0 (radians) And \Theta 2=\pi/2 (radians).
);CREATE TABLE figure_2_data_rgsf_magnitudes (
"polar_angle_beta_measured_from_north_pole_radians" DOUBLE -- Polar Angle \beta Measured From North Pole (radians),
"magnitude_of_the_axisymmetric_rgsf_g_1_00_beta_no_rele_5bfffbe4" DOUBLE -- Magnitude Of The Axisymmetric RGSF G 1^00(\beta) (no Relevant Units) Defined By Eqs. 28 And 21 And 24 With \Theta 1=0 And \Theta 2=\pi/2,
"magnitude_of_the_axisymmetric_rgsf_g_7_00_beta_no_rele_ddafdfa9" DOUBLE -- Magnitude Of The Axisymmetric RGSF G 7^00(\beta) (no Relevant Units) Defined By Eqs. 28 And 21 And 24 With \Theta 1=0 And \Theta 2=\pi/2,
"magnitude_of_the_axisymmetric_rgsf_g_11_00_beta_no_rel_07a31dbe" DOUBLE -- Magnitude Of The Axisymmetric RGSF G 11^00(\beta) (no Relevant Units) Defined By Eqs. 28 And 21 And 24 With \Theta 1=0 And \Theta 2=\pi/2,
"magnitude_of_the_axisymmetric_rgsf_g_21_00_beta_no_rel_2641d689" DOUBLE -- Magnitude Of The Axisymmetric RGSF G 21^00(\beta) (no Relevant Units) Defined By Eqs. 28 And 21 And 24 With \Theta 1=0 And \Theta 2=\pi/2
);CREATE TABLE figure_3_data_reconstructions (
"polar_angle_theta_measured_from_north_pole_radians" DOUBLE -- Polar Angle \Theta Measured From North Pole (radians),
"near_field_kr_14_pi_no_relevant_units_relative_magnitu_f15f27dd" DOUBLE -- Near-field (kr = 14 \pi (no Relevant Units)) Relative Magnitude (dB) Of Acutal Test Acoustic Field. Relative Magnitude Defined By Eq. 59.,
"near_field_kr_14_pi_no_relevant_units_relative_magnitu_e511feb3" DOUBLE -- Near-field (kr = 14 \pi (no Relevant Units)) Relative Magnitude (dB) Of Padded FFT Field Reconstruction (bullet 2 In Reconstruction Methods List). Relative Magnitude Defined By Eq. 59. Reconstruction Uses Simulated Nonzero Measurements Lie In Range 0 <= Theta <= 35\pi/36 With Any Outside This Range Set To Zero.,
"near_field_kr_14_pi_no_relevant_units_relative_magnitu_952d16b7" DOUBLE -- Near-field (kr = 14 \pi (no Relevant Units)) Relative Magnitude (dB) Of Winger D CS Field Reconstruction (bullet 1 In Reconstruction Methods List). Relative Magnitude Defined By Eq. 59. Reconstruction Uses Simulated Measurements In The Range 0 <= Theta <= \pi Being Nonzero.,
"near_field_kr_14_pi_no_relevant_units_relative_magnitu_786860ac" DOUBLE -- Near-field (kr = 14 \pi (no Relevant Units)) Relative Magnitude (dB) Of Drop Winger D CS Field Reconstruction (bullet 3 In Reconstruction Methods List). Relative Magnitude Defined By Eq. 59. Reconstruction Uses Simulated Measurements Only Within The Range 0 <= Theta <= 35\pi/36 Nonzero. All Other Measurments Are Dropped And Ignored.,
"near_field_kr_14_pi_no_relevant_units_relative_magnitu_1d872836" DOUBLE -- Near-field (kr = 14 \pi (no Relevant Units)) Relative Magnitude (dB) Of Padded Winger D CS Field Reconstruction (bullet 4 In Reconstruction Methods List). Relative Magnitude Defined By Eq. 59. Reconstruction Uses Simulated Measurements Within The Range 0 <= Theta <= 35\pi/36 As Nonzero. All Other Measurments Are Set To Zero.,
"near_field_kr_14_pi_no_relevant_units_relative_magnitu_7bc86ab4" DOUBLE -- Near-field (kr = 14 \pi (no Relevant Units)) Relative Magnitude (dB) Of RGSF CS Field Reconstruction (method Proposed In Paper Using RGSFs). Relative Magnitude Defined By Eq. 59. Reconstruction Uses Simulated Measurements Only Within The Range 0 <= Theta <= 35\pi/36 As Nonzero.,
"near_field_kr_14_pi_no_relevant_units_signal_to_noise__7e7418ee" DOUBLE -- Near-field (kr = 14 \pi (no Relevant Units)) Signal To Noise Ratio (dB) Of Padded FFT Field Reconstruction (bullet 2 In Reconstruction Methods List). Signal To Noise Ratio Defined By Eq. 60. Reconstruction Uses Simulated Nonzero Measurements Lie In Range 0 <= Theta <= 35\pi/36 With Any Outside This Range Set To Zero.,
"near_field_kr_14_pi_no_relevant_units_signal_to_noise__088d3dc3" DOUBLE -- Near-field (kr = 14 \pi (no Relevant Units)) Signal To Noise Ratio (dB) Of Winger D CS Field Reconstruction (bullet 1 In Reconstruction Methods List). Signal To Noise Ratio Defined By Eq. 60. Reconstruction Uses Simulated Measurements In The Range 0 <= Theta <= \pi Being Nonzero.,
"near_field_kr_14_pi_no_relevant_units_signal_to_noise__7bad54ad" DOUBLE -- Near-field (kr = 14 \pi (no Relevant Units)) Signal To Noise Ratio (dB) Of Drop Winger D CS Field Reconstruction (bullet 3 In Reconstruction Methods List). Signal To Noise Ratio Defined By Eq. 60. Reconstruction Uses Simulated Measurements Only Within The Range 0 <= Theta <= 35\pi/36 Nonzero. All Other Measurments Are Dropped And Ignored.,
"near_field_kr_14_pi_no_relevant_units_signal_to_noise__240464fa" DOUBLE -- Near-field (kr = 14 \pi (no Relevant Units)) Signal To Noise Ratio (dB) Of Padded Winger D CS Field Reconstruction (bullet 3 In Reconstruction Methods List). Signal To Noise Ratio Defined By Eq. 60. Reconstruction Uses Simulated Measurements Within The Range 0 <= Theta <= 35\pi/36 As Nonzero. All Other Measurments Are Set To Zero.,
"near_field_kr_14_pi_no_relevant_units_signal_to_noise__d541aff3" DOUBLE -- Near-field (kr = 14 \pi (no Relevant Units)) Signal To Noise Ratio (dB) Of RGSF CS Field Reconstruction (method Proposed In Paper Using RGSFs). Signal To Noise Ratio Defined By Eq. 60. Reconstruction Uses Simulated Measurements Only Within The Range 0 <= Theta <= 35\pi/36 As Nonzero.
);CREATE TABLE figure_4_data_reconstructions (
"polar_angle_theta_measured_from_north_pole_radians" DOUBLE -- Polar Angle \Theta Measured From North Pole (radians),
"far_field_kr_400_pi_no_relevant_units_relative_magnitu_2e07ea37" DOUBLE -- Far-field (kr = 400 \pi (no Relevant Units)) Relative Magnitude (dB) Of Acutal Test Acoustic Field. Relative Magnitude Defined By Eq. 59.,
"far_field_kr_400_pi_no_relevant_units_relative_magnitu_6160ef57" DOUBLE -- Far-field (kr = 400 \pi (no Relevant Units)) Relative Magnitude (dB) Of Padded FFT Field Reconstruction (bullet 2 In Reconstruction Methods List). Relative Magnitude Defined By Eq. 59. Reconstruction Uses Simulated Nonzero Measurements Lie In Range 0 <= Theta <= 35\pi/36 With Any Outside This Range Set To Zero.,
"far_field_kr_400_pi_no_relevant_units_relative_magnitu_e5c19876" DOUBLE -- Far-field (kr = 400 \pi (no Relevant Units)) Relative Magnitude (dB) Of Winger D CS Field Reconstruction (bullet 1 In Reconstruction Methods List). Relative Magnitude Defined By Eq. 59. Reconstruction Uses Simulated Measurements In The Range 0 <= Theta <= \pi Being Nonzero.,
"far_field_kr_400_pi_no_relevant_units_relative_magnitu_7bdb8101" DOUBLE -- Far-field (kr = 400 \pi (no Relevant Units)) Relative Magnitude (dB) Of Drop Winger D CS Field Reconstruction (bullet 3 In Reconstruction Methods List). Relative Magnitude Defined By Eq. 59. Reconstruction Uses Simulated Measurements Only Within The Range 0 <= Theta <= 35\pi/36 Nonzero. All Other Measurments Are Dropped And Ignored.,
"far_field_kr_400_pi_no_relevant_units_relative_magnitu_693fe008" DOUBLE -- Far-field (kr = 400 \pi (no Relevant Units)) Relative Magnitude (dB) Of Padded Winger D CS Field Reconstruction (bullet 4 In Reconstruction Methods List). Relative Magnitude Defined By Eq. 59. Reconstruction Uses Simulated Measurements Within The Range 0 <= Theta <= 35\pi/36 As Nonzero. All Other Measurments Are Set To Zero.,
"far_field_kr_400_pi_no_relevant_units_relative_magnitu_b737cd56" DOUBLE -- Far-field (kr = 400 \pi (no Relevant Units)) Relative Magnitude (dB) Of RGSF CS Field Reconstruction (method Proposed In Paper Using RGSFs). Relative Magnitude Defined By Eq. 59. Reconstruction Uses Simulated Measurements Only Within The Range 0 <= Theta <= 35\pi/36 As Nonzero.,
"far_field_kr_400_pi_no_relevant_units_signal_to_noise__0b2a19a7" DOUBLE -- Far-field (kr = 400 \pi (no Relevant Units)) Signal To Noise Ratio (dB) Of Padded FFT Field Reconstruction (bullet 2 In Reconstruction Methods List). Signal To Noise Ratio Defined By Eq. 60. Reconstruction Uses Simulated Nonzero Measurements Lie In Range 0 <= Theta <= 35\pi/36 With Any Outside This Range Set To Zero.,
"far_field_kr_400_pi_no_relevant_units_signal_to_noise__97517ac5" DOUBLE -- Far-field (kr = 400 \pi (no Relevant Units)) Signal To Noise Ratio (dB) Of Winger D CS Field Reconstruction (bullet 1 In Reconstruction Methods List). Signal To Noise Ratio Defined By Eq. 60. Reconstruction Uses Simulated Measurements In The Range 0 <= Theta <= \pi Being Nonzero.,
"far_field_kr_400_pi_no_relevant_units_signal_to_noise__74f7eea6" DOUBLE -- Far-field (kr = 400 \pi (no Relevant Units)) Signal To Noise Ratio (dB) Of Drop Winger D CS Field Reconstruction (bullet 3 In Reconstruction Methods List). Signal To Noise Ratio Defined By Eq. 60. Reconstruction Uses Simulated Measurements Only Within The Range 0 <= Theta <= 35\pi/36 Nonzero. All Other Measurments Are Dropped And Ignored.,
"far_field_kr_400_pi_no_relevant_units_signal_to_noise__952a9f86" DOUBLE -- Far-field (kr = 400 \pi (no Relevant Units)) Signal To Noise Ratio (dB) Of Padded Winger D CS Field Reconstruction (bullet 3 In Reconstruction Methods List). Signal To Noise Ratio Defined By Eq. 60. Reconstruction Uses Simulated Measurements Within The Range 0 <= Theta <= 35\pi/36 As Nonzero. All Other Measurments Are Set To Zero.,
"far_field_kr_400_pi_no_relevant_units_signal_to_noise__b8d814ed" DOUBLE -- Far-field (kr = 400 \pi (no Relevant Units)) Signal To Noise Ratio (dB) Of RGSF CS Field Reconstruction (method Proposed In Paper Using RGSFs). Signal To Noise Ratio Defined By Eq. 60. Reconstruction Uses Simulated Measurements Only Within The Range 0 <= Theta <= 35\pi/36 As Nonzero.
);CREATE TABLE figure_5_data_reconstructions (
"polar_angle_theta_measured_from_north_pole_radians" DOUBLE -- Polar Angle \Theta Measured From North Pole (radians),
"near_field_kr_14_pi_no_relevant_units_relative_magnitu_f15f27dd" DOUBLE -- Near-field (kr = 14 \pi (no Relevant Units)) Relative Magnitude (dB) Of Acutal Test Acoustic Field. Relative Magnitude Defined By Eq. 59.,
"near_field_kr_14_pi_no_relevant_units_relative_magnitu_76d06a2d" DOUBLE -- Near-field (kr = 14 \pi (no Relevant Units)) Relative Magnitude (dB) Of Padded FFT Field Reconstruction (bullet 2 In Reconstruction Methods List). Relative Magnitude Defined By Eq. 59. Reconstruction Uses Simulated Nonzero Measurements Lie In Range 0 <= Theta <= \pi/2 With Any Outside This Range Set To Zero.,
"near_field_kr_14_pi_no_relevant_units_relative_magnitu_952d16b7" DOUBLE -- Near-field (kr = 14 \pi (no Relevant Units)) Relative Magnitude (dB) Of Winger D CS Field Reconstruction (bullet 1 In Reconstruction Methods List). Relative Magnitude Defined By Eq. 59. Reconstruction Uses Simulated Measurements In The Range 0 <= Theta <= \pi Being Nonzero.,
"near_field_kr_14_pi_no_relevant_units_relative_magnitu_f0cc39d2" DOUBLE -- Near-field (kr = 14 \pi (no Relevant Units)) Relative Magnitude (dB) Of Drop Winger D CS Field Reconstruction (bullet 3 In Reconstruction Methods List). Relative Magnitude Defined By Eq. 59. Reconstruction Uses Simulated Measurements Only Within The Range 0 <= Theta <= Pi/2 Nonzero. All Other Measurments Are Dropped And Ignored.,
"near_field_kr_14_pi_no_relevant_units_relative_magnitu_a6131a29" DOUBLE -- Near-field (kr = 14 \pi (no Relevant Units)) Relative Magnitude (dB) Of Padded Winger D CS Field Reconstruction (bullet 4 In Reconstruction Methods List). Relative Magnitude Defined By Eq. 59. Reconstruction Uses Simulated Measurements Within The Range 0 <= Theta <= Pi/2 As Nonzero. All Other Measurments Are Set To Zero.,
"near_field_kr_14_pi_no_relevant_units_relative_magnitu_3557cc56" DOUBLE -- Near-field (kr = 14 \pi (no Relevant Units)) Relative Magnitude (dB) Of RGSF CS Field Reconstruction (method Proposed In Paper Using RGSFs). Relative Magnitude Defined By Eq. 59. Reconstruction Uses Simulated Measurements Only Within The Range 0 <= Theta <= Pi/2 As Nonzero.,
"near_field_kr_14_pi_no_relevant_units_signal_to_noise__25ff323a" DOUBLE -- Near-field (kr = 14 \pi (no Relevant Units)) Signal To Noise Ratio (dB) Of Padded FFT Field Reconstruction (bullet 2 In Reconstruction Methods List). Signal To Noise Ratio Defined By Eq. 60. Reconstruction Uses Simulated Nonzero Measurements Lie In Range 0 <= Theta <= Pi/2 With Any Outside This Range Set To Zero.,
"near_field_kr_14_pi_no_relevant_units_signal_to_noise__088d3dc3" DOUBLE -- Near-field (kr = 14 \pi (no Relevant Units)) Signal To Noise Ratio (dB) Of Winger D CS Field Reconstruction (bullet 1 In Reconstruction Methods List). Signal To Noise Ratio Defined By Eq. 60. Reconstruction Uses Simulated Measurements In The Range 0 <= Theta <= \pi Being Nonzero.,
"near_field_kr_14_pi_no_relevant_units_signal_to_noise__87b71025" DOUBLE -- Near-field (kr = 14 \pi (no Relevant Units)) Signal To Noise Ratio (dB) Of Drop Winger D CS Field Reconstruction (bullet 3 In Reconstruction Methods List). Signal To Noise Ratio Defined By Eq. 60. Reconstruction Uses Simulated Measurements Only Within The Range 0 <= Theta <= Pi/2 Nonzero. All Other Measurments Are Dropped And Ignored.,
"near_field_kr_14_pi_no_relevant_units_signal_to_noise__9e7e5b95" DOUBLE -- Near-field (kr = 14 \pi (no Relevant Units)) Signal To Noise Ratio (dB) Of Padded Winger D CS Field Reconstruction (bullet 3 In Reconstruction Methods List). Signal To Noise Ratio Defined By Eq. 60. Reconstruction Uses Simulated Measurements Within The Range 0 <= Theta <= Pi/2 As Nonzero. All Other Measurments Are Set To Zero.,
"near_field_kr_14_pi_no_relevant_units_signal_to_noise__debd443f" DOUBLE -- Near-field (kr = 14 \pi (no Relevant Units)) Signal To Noise Ratio (dB) Of RGSF CS Field Reconstruction (method Proposed In Paper Using RGSFs). Signal To Noise Ratio Defined By Eq. 60. Reconstruction Uses Simulated Measurements Only Within The Range 0 <= Theta <= \pi/2 As Nonzero.
);CREATE TABLE figure_6_data_reconstructions (
"polar_angle_theta_measured_from_north_pole_radians" DOUBLE -- Polar Angle \Theta Measured From North Pole (radians),
"far_field_kr_4000_pi_no_relevant_units_relative_magnit_4fef45fa" DOUBLE -- Far-field (kr = 4000 \pi (no Relevant Units)) Relative Magnitude (dB) Of Acutal Test Acoustic Field. Relative Magnitude Defined By Eq. 59.,
"far_field_kr_4000_pi_no_relevant_units_relative_magnit_81ef40a3" DOUBLE -- Far-field (kr = 4000 \pi (no Relevant Units)) Relative Magnitude (dB) Of Padded FFT Field Reconstruction (bullet 2 In Reconstruction Methods List). Relative Magnitude Defined By Eq. 59. Reconstruction Uses Simulated Nonzero Measurements Lie In Range 0 <= Theta <= \pi/2 With Any Outside This Range Set To Zero.,
"far_field_kr_4000_pi_no_relevant_units_relative_magnit_14e52256" DOUBLE -- Far-field (kr = 4000 \pi (no Relevant Units)) Relative Magnitude (dB) Of Winger D CS Field Reconstruction (bullet 1 In Reconstruction Methods List). Relative Magnitude Defined By Eq. 59. Reconstruction Uses Simulated Measurements In The Range 0 <= Theta <= \pi Being Nonzero.,
"far_field_kr_4000_pi_no_relevant_units_relative_magnit_896a2413" DOUBLE -- Far-field (kr = 4000 \pi (no Relevant Units)) Relative Magnitude (dB) Of Drop Winger D CS Field Reconstruction (bullet 3 In Reconstruction Methods List). Relative Magnitude Defined By Eq. 59. Reconstruction Uses Simulated Measurements Only Within The Range 0 <= Theta <= Pi/2 Nonzero. All Other Measurments Are Dropped And Ignored.,
"far_field_kr_4000_pi_no_relevant_units_relative_magnit_e4a5e214" DOUBLE -- Far-field (kr = 4000 \pi (no Relevant Units)) Relative Magnitude (dB) Of Padded Winger D CS Field Reconstruction (bullet 4 In Reconstruction Methods List). Relative Magnitude Defined By Eq. 59. Reconstruction Uses Simulated Measurements Within The Range 0 <= Theta <= Pi/2 As Nonzero. All Other Measurments Are Set To Zero.,
"far_field_kr_4000_pi_no_relevant_units_relative_magnit_c580680b" DOUBLE -- Far-field (kr = 4000 \pi (no Relevant Units)) Relative Magnitude (dB) Of RGSF CS Field Reconstruction (method Proposed In Paper Using RGSFs). Relative Magnitude Defined By Eq. 59. Reconstruction Uses Simulated Measurements Only Within The Range 0 <= Theta <= Pi/2 As Nonzero.,
"far_field_kr_4000_pi_no_relevant_units_signal_to_noise_b5dc4660" DOUBLE -- Far-field (kr = 4000 \pi (no Relevant Units)) Signal To Noise Ratio (dB) Of Padded FFT Field Reconstruction (bullet 2 In Reconstruction Methods List). Signal To Noise Ratio Defined By Eq. 60. Reconstruction Uses Simulated Nonzero Measurements Lie In Range 0 <= Theta <= Pi/2 With Any Outside This Range Set To Zero.,
"far_field_kr_4000_pi_no_relevant_units_signal_to_noise_8988dbf2" DOUBLE -- Far-field (kr = 4000 \pi (no Relevant Units)) Signal To Noise Ratio (dB) Of Winger D CS Field Reconstruction (bullet 1 In Reconstruction Methods List). Signal To Noise Ratio Defined By Eq. 60. Reconstruction Uses Simulated Measurements In The Range 0 <= Theta <= \pi Being Nonzero.,
"far_field_kr_4000_pi_no_relevant_units_signal_to_noise_d4fd4be0" DOUBLE -- Far-field (kr = 4000 \pi (no Relevant Units)) Signal To Noise Ratio (dB) Of Drop Winger D CS Field Reconstruction (bullet 3 In Reconstruction Methods List). Signal To Noise Ratio Defined By Eq. 60. Reconstruction Uses Simulated Measurements Only Within The Range 0 <= Theta <= Pi/2 Nonzero. All Other Measurments Are Dropped And Ignored.,
"far_field_kr_4000_pi_no_relevant_units_signal_to_noise_6d3db6fc" DOUBLE -- Far-field (kr = 4000 \pi (no Relevant Units)) Signal To Noise Ratio (dB) Of Padded Winger D CS Field Reconstruction (bullet 3 In Reconstruction Methods List). Signal To Noise Ratio Defined By Eq. 60. Reconstruction Uses Simulated Measurements Within The Range 0 <= Theta <= Pi/2 As Nonzero. All Other Measurments Are Set To Zero.,
"far_field_kr_4000_pi_no_relevant_units_signal_to_noise_e69aad85" DOUBLE -- Far-field (kr = 4000 \pi (no Relevant Units)) Signal To Noise Ratio (dB) Of RGSF CS Field Reconstruction (method Proposed In Paper Using RGSFs). Signal To Noise Ratio Defined By Eq. 60. Reconstruction Uses Simulated Measurements Only Within The Range 0 <= Theta <= \pi/2 As Nonzero.
);CREATE TABLE figure_7_data_reconstructions (
"partial_wave_coefficient_index_n_no_relevant_units_ind_e37d3fff" BIGINT -- Partial Wave Coefficient Index N (no Relevant Units). Index M Is Zero.,
"m_0_partial_wave_coefficeints_a_n_m_no_relevant_units__529ee2cd" DOUBLE -- M=0 Partial Wave Coefficeints A N^m (no Relevant Units) Of Acutal Test Scalar Field. Time Convention Is Exp(-i W T) And The Partial Waves Include Condon-shortly Phase And Normalization Factor \sqrt{\frac{2n+1}{4\pi}\frac{(n-m)!}{(n+m)!}}.,
"m_0_partial_wave_coefficeints_a_n_m_no_relevant_units__28568203" DOUBLE -- M=0 Partial Wave Coefficeints A N^m (no Relevant Units) From RGSF CS Field Reconstruction (method Proposed In Paper Using RGSFs). Time Convention Is Exp(-i W T) And The Partial Waves Include Condon-shortly Phase And Normalization Factor \sqrt{\frac{2n+1}{4\pi}\frac{(n-m)!}{(n+m)!}},
"m_0_partial_wave_coefficeints_a_n_m_no_relevant_units__96e74cf8" DOUBLE -- M=0 Partial Wave Coefficeints A N^m (no Relevant Units) From Padded FFT Field Reconstruction (bullet 2 In Reconstruction Methods List). Time Convention Is Exp(-i W T) And The Partial Waves Include Condon-shortly Phase And Normalization Factor \sqrt{\frac{2n+1}{4\pi}\frac{(n-m)!}{(n+m)!}},
"m_0_partial_wave_coefficeints_a_n_m_no_relevant_units__f27762f3" DOUBLE -- M=0 Partial Wave Coefficeints A N^m (no Relevant Units) From Padded Winger D CS Field Reconstruction (bullet 4 In Reconstruction Methods List). Time Convention Is Exp(-i W T) And The Partial Waves Include Condon-shortly Phase And Normalization Factor \sqrt{\frac{2n+1}{4\pi}\frac{(n-m)!}{(n+m)!}},
"m_0_partial_wave_coefficeints_a_n_m_no_relevant_units__e1aea1a4" DOUBLE -- M=0 Partial Wave Coefficeints A N^m (no Relevant Units) From Drop Winger D CS Field Reconstruction (bullet 3 In Reconstruction Methods List). Time Convention Is Exp(-i W T) And The Partial Waves Include Condon-shortly Phase And Normalization Factor \sqrt{\frac{2n+1}{4\pi}\frac{(n-m)!}{(n+m)!}},
"m_0_partial_wave_coefficeints_snr_db_from_rgsf_cs_fiel_a7a7c3df" DOUBLE -- M=0 Partial Wave Coefficeints SNR (dB) From RGSF CS Field Reconstruction (method Proposed In Paper Using RGSFs). Time Convention Is Exp(-i W T) And The Partial Waves Include Condon-shortly Phase And Normalization Factor \sqrt{\frac{2n+1}{4\pi}\frac{(n-m)!}{(n+m)!}},
"m_0_partial_wave_coefficeints_snr_db_from_padded_fft_f_39308058" DOUBLE -- M=0 Partial Wave Coefficeints SNR (dB) From Padded FFT Field Reconstruction (bullet 2 In Reconstruction Methods List). Time Convention Is Exp(-i W T) And The Partial Waves Include Condon-shortly Phase And Normalization Factor \sqrt{\frac{2n+1}{4\pi}\frac{(n-m)!}{(n+m)!}},
"m_0_partial_wave_coefficeints_absolute_phase_error_rad_073ad4c5" DOUBLE -- M=0 Partial Wave Coefficeints Absolute Phase Error (radians) From RGSF CS Field Reconstruction (method Proposed In Paper Using RGSFs). Time Convention Is Exp(-i W T) And The Partial Waves Include Condon-shortly Phase And Normalization Factor \sqrt{\frac{2n+1}{4\pi}\frac{(n-m)!}{(n+m)!}},
"m_0_partial_wave_coefficeints_absolute_phase_error_rad_af01728f" DOUBLE -- M=0 Partial Wave Coefficeints Absolute Phase Error (radians) From Padded FFT Field Reconstruction (bullet 2 In Reconstruction Methods List). Time Convention Is Exp(-i W T) And The Partial Waves Include Condon-shortly Phase And Normalization Factor \sqrt{\frac{2n+1}{4\pi}\frac{(n-m)!}{(n+m)!}}
);CREATE TABLE figure_8a_data_reconstructions (
"rgsf_cutoffs_lambda_c_no_relevant_units_see_eqs_47_50" DOUBLE -- RGSF Cutoffs \lambda C (no Relevant Units) - See Eqs. 47-50.,
"near_field_kr_14_pi_no_relevant_units_signal_to_noise__55f54851" DOUBLE -- Near-field (kr = 14 \pi (no Relevant Units)) Signal To Noise Ratio (dB) Of RGSF CS Field Reconstruction (method Proposed In Paper Using RGSFs) With RGSF Cutoff \lambda C = 0.025 - See Eqs. 47-50. Signal To Noise Ratio Defined By Eq. 60. Reconstruction Uses Simulated Measurements Only Within The Range 0 <= Theta <= \pi/2 As Nonzero..,
"near_field_kr_14_pi_no_relevant_units_signal_to_noise__d6f3f035" DOUBLE -- Near-field (kr = 14 \pi (no Relevant Units)) Signal To Noise Ratio (dB) Of RGSF CS Field Reconstruction (method Proposed In Paper Using RGSFs) With RGSF Cutoff \lambda C = 0.05 - See Eqs. 47-50. Signal To Noise Ratio Defined By Eq. 60. Reconstruction Uses Simulated Measurements Only Within The Range 0 <= Theta <= \pi/2 As Nonzero..,
"near_field_kr_14_pi_no_relevant_units_signal_to_noise__28fa9ab0" DOUBLE -- Near-field (kr = 14 \pi (no Relevant Units)) Signal To Noise Ratio (dB) Of RGSF CS Field Reconstruction (method Proposed In Paper Using RGSFs) With RGSF Cutoff \lambda C = 0.075 - See Eqs. 47-50. Signal To Noise Ratio Defined By Eq. 60. Reconstruction Uses Simulated Measurements Only Within The Range 0 <= Theta <= \pi/2 As Nonzero..,
"near_field_kr_14_pi_no_relevant_units_signal_to_noise__d961e648" DOUBLE -- Near-field (kr = 14 \pi (no Relevant Units)) Signal To Noise Ratio (dB) Of RGSF CS Field Reconstruction (method Proposed In Paper Using RGSFs) With RGSF Cutoff \lambda C = 0.1 - See Eqs. 47-50. Signal To Noise Ratio Defined By Eq. 60. Reconstruction Uses Simulated Measurements Only Within The Range 0 <= Theta <= \pi/2 As Nonzero..,
"near_field_kr_14_pi_no_relevant_units_signal_to_noise__516fb34a" DOUBLE -- Near-field (kr = 14 \pi (no Relevant Units)) Signal To Noise Ratio (dB) Of RGSF CS Field Reconstruction (method Proposed In Paper Using RGSFs) With RGSF Cutoff \lambda C = 0.125 - See Eqs. 47-50. Signal To Noise Ratio Defined By Eq. 60. Reconstruction Uses Simulated Measurements Only Within The Range 0 <= Theta <= \pi/2 As Nonzero..,
"near_field_kr_14_pi_no_relevant_units_signal_to_noise__1670b70d" DOUBLE -- Near-field (kr = 14 \pi (no Relevant Units)) Signal To Noise Ratio (dB) Of RGSF CS Field Reconstruction (method Proposed In Paper Using RGSFs) With RGSF Cutoff \lambda C = 0.15 - See Eqs. 47-50. Signal To Noise Ratio Defined By Eq. 60. Reconstruction Uses Simulated Measurements Only Within The Range 0 <= Theta <= \pi/2 As Nonzero..,
"near_field_kr_14_pi_no_relevant_units_signal_to_noise__3346a078" DOUBLE -- Near-field (kr = 14 \pi (no Relevant Units)) Signal To Noise Ratio (dB) Of RGSF CS Field Reconstruction (method Proposed In Paper Using RGSFs) With RGSF Cutoff \lambda C = 0.175 - See Eqs. 47-50. Signal To Noise Ratio Defined By Eq. 60. Reconstruction Uses Simulated Measurements Only Within The Range 0 <= Theta <= \pi/2 As Nonzero..,
"near_field_kr_14_pi_no_relevant_units_signal_to_noise__dff76e4c" DOUBLE -- Near-field (kr = 14 \pi (no Relevant Units)) Signal To Noise Ratio (dB) Of RGSF CS Field Reconstruction (method Proposed In Paper Using RGSFs) With RGSF Cutoff \lambda C = 0.2 - See Eqs. 47-50. Signal To Noise Ratio Defined By Eq. 60. Reconstruction Uses Simulated Measurements Only Within The Range 0 <= Theta <= \pi/2 As Nonzero..,
"near_field_kr_14_pi_no_relevant_units_signal_to_noise__6487ae13" DOUBLE -- Near-field (kr = 14 \pi (no Relevant Units)) Signal To Noise Ratio (dB) Of RGSF CS Field Reconstruction (method Proposed In Paper Using RGSFs) With RGSF Cutoff \lambda C = 0.225 - See Eqs. 47-50. Signal To Noise Ratio Defined By Eq. 60. Reconstruction Uses Simulated Measurements Only Within The Range 0 <= Theta <= \pi/2 As Nonzero..,
"near_field_kr_14_pi_no_relevant_units_signal_to_noise__3c336188" DOUBLE -- Near-field (kr = 14 \pi (no Relevant Units)) Signal To Noise Ratio (dB) Of RGSF CS Field Reconstruction (method Proposed In Paper Using RGSFs) With RGSF Cutoff \lambda C = 0.25 - See Eqs. 47-50. Signal To Noise Ratio Defined By Eq. 60. Reconstruction Uses Simulated Measurements Only Within The Range 0 <= Theta <= \pi/2 As Nonzero..,
"near_field_kr_14_pi_no_relevant_units_signal_to_noise__c69b0150" DOUBLE -- Near-field (kr = 14 \pi (no Relevant Units)) Signal To Noise Ratio (dB) Of RGSF CS Field Reconstruction (method Proposed In Paper Using RGSFs) With RGSF Cutoff \lambda C = 0.275 - See Eqs. 47-50. Signal To Noise Ratio Defined By Eq. 60. Reconstruction Uses Simulated Measurements Only Within The Range 0 <= Theta <= \pi/2 As Nonzero..,
"near_field_kr_14_pi_no_relevant_units_signal_to_noise__be9e88fa" DOUBLE -- Near-field (kr = 14 \pi (no Relevant Units)) Signal To Noise Ratio (dB) Of RGSF CS Field Reconstruction (method Proposed In Paper Using RGSFs) With RGSF Cutoff \lambda C = 0.3 - See Eqs. 47-50. Signal To Noise Ratio Defined By Eq. 60. Reconstruction Uses Simulated Measurements Only Within The Range 0 <= Theta <= \pi/2 As Nonzero..,
"near_field_kr_14_pi_no_relevant_units_signal_to_noise__c0a7891a" DOUBLE -- Near-field (kr = 14 \pi (no Relevant Units)) Signal To Noise Ratio (dB) Of RGSF CS Field Reconstruction (method Proposed In Paper Using RGSFs) With RGSF Cutoff \lambda C = 0.325 - See Eqs. 47-50. Signal To Noise Ratio Defined By Eq. 60. Reconstruction Uses Simulated Measurements Only Within The Range 0 <= Theta <= \pi/2 As Nonzero..,
"near_field_kr_14_pi_no_relevant_units_signal_to_noise__df577a4a" DOUBLE -- Near-field (kr = 14 \pi (no Relevant Units)) Signal To Noise Ratio (dB) Of RGSF CS Field Reconstruction (method Proposed In Paper Using RGSFs) With RGSF Cutoff \lambda C = 0.35 - See Eqs. 47-50. Signal To Noise Ratio Defined By Eq. 60. Reconstruction Uses Simulated Measurements Only Within The Range 0 <= Theta <= \pi/2 As Nonzero..,
"near_field_kr_14_pi_no_relevant_units_signal_to_noise__0e09fe78" DOUBLE -- Near-field (kr = 14 \pi (no Relevant Units)) Signal To Noise Ratio (dB) Of RGSF CS Field Reconstruction (method Proposed In Paper Using RGSFs) With RGSF Cutoff \lambda C = 0.375 - See Eqs. 47-50. Signal To Noise Ratio Defined By Eq. 60. Reconstruction Uses Simulated Measurements Only Within The Range 0 <= Theta <= \pi/2 As Nonzero..,
"near_field_kr_14_pi_no_relevant_units_signal_to_noise__05e23d2a" DOUBLE -- Near-field (kr = 14 \pi (no Relevant Units)) Signal To Noise Ratio (dB) Of RGSF CS Field Reconstruction (method Proposed In Paper Using RGSFs) With RGSF Cutoff \lambda C = 0.4 - See Eqs. 47-50. Signal To Noise Ratio Defined By Eq. 60. Reconstruction Uses Simulated Measurements Only Within The Range 0 <= Theta <= \pi/2 As Nonzero..,
"near_field_kr_14_pi_no_relevant_units_signal_to_noise__a5faf273" DOUBLE -- Near-field (kr = 14 \pi (no Relevant Units)) Signal To Noise Ratio (dB) Of RGSF CS Field Reconstruction (method Proposed In Paper Using RGSFs) With RGSF Cutoff \lambda C = 0.425 - See Eqs. 47-50. Signal To Noise Ratio Defined By Eq. 60. Reconstruction Uses Simulated Measurements Only Within The Range 0 <= Theta <= \pi/2 As Nonzero..,
"near_field_kr_14_pi_no_relevant_units_signal_to_noise__71c1999f" DOUBLE -- Near-field (kr = 14 \pi (no Relevant Units)) Signal To Noise Ratio (dB) Of RGSF CS Field Reconstruction (method Proposed In Paper Using RGSFs) With RGSF Cutoff \lambda C = 0.45 - See Eqs. 47-50. Signal To Noise Ratio Defined By Eq. 60. Reconstruction Uses Simulated Measurements Only Within The Range 0 <= Theta <= \pi/2 As Nonzero..,
"near_field_kr_14_pi_no_relevant_units_signal_to_noise__f6284942" DOUBLE -- Near-field (kr = 14 \pi (no Relevant Units)) Signal To Noise Ratio (dB) Of RGSF CS Field Reconstruction (method Proposed In Paper Using RGSFs) With RGSF Cutoff \lambda C = 0.475 - See Eqs. 47-50. Signal To Noise Ratio Defined By Eq. 60. Reconstruction Uses Simulated Measurements Only Within The Range 0 <= Theta <= \pi/2 As Nonzero..,
"near_field_kr_14_pi_no_relevant_units_signal_to_noise__8e31474b" DOUBLE -- Near-field (kr = 14 \pi (no Relevant Units)) Signal To Noise Ratio (dB) Of RGSF CS Field Reconstruction (method Proposed In Paper Using RGSFs) With RGSF Cutoff \lambda C = 0.5 - See Eqs. 47-50. Signal To Noise Ratio Defined By Eq. 60. Reconstruction Uses Simulated Measurements Only Within The Range 0 <= Theta <= \pi/2 As Nonzero..,
"near_field_kr_14_pi_no_relevant_units_signal_to_noise__e8186f62" DOUBLE -- Near-field (kr = 14 \pi (no Relevant Units)) Signal To Noise Ratio (dB) Of RGSF CS Field Reconstruction (method Proposed In Paper Using RGSFs) With RGSF Cutoff \lambda C = 0.525 - See Eqs. 47-50. Signal To Noise Ratio Defined By Eq. 60. Reconstruction Uses Simulated Measurements Only Within The Range 0 <= Theta <= \pi/2 As Nonzero..,
"near_field_kr_14_pi_no_relevant_units_signal_to_noise__0aa9b3c1" DOUBLE -- Near-field (kr = 14 \pi (no Relevant Units)) Signal To Noise Ratio (dB) Of RGSF CS Field Reconstruction (method Proposed In Paper Using RGSFs) With RGSF Cutoff \lambda C = 0.55 - See Eqs. 47-50. Signal To Noise Ratio Defined By Eq. 60. Reconstruction Uses Simulated Measurements Only Within The Range 0 <= Theta <= \pi/2 As Nonzero..,
"near_field_kr_14_pi_no_relevant_units_signal_to_noise__a26e4aa6" DOUBLE -- Near-field (kr = 14 \pi (no Relevant Units)) Signal To Noise Ratio (dB) Of RGSF CS Field Reconstruction (method Proposed In Paper Using RGSFs) With RGSF Cutoff \lambda C = 0.575 - See Eqs. 47-50. Signal To Noise Ratio Defined By Eq. 60. Reconstruction Uses Simulated Measurements Only Within The Range 0 <= Theta <= \pi/2 As Nonzero..,
"near_field_kr_14_pi_no_relevant_units_signal_to_noise__06d5422e" DOUBLE -- Near-field (kr = 14 \pi (no Relevant Units)) Signal To Noise Ratio (dB) Of RGSF CS Field Reconstruction (method Proposed In Paper Using RGSFs) With RGSF Cutoff \lambda C = 0.6 - See Eqs. 47-50. Signal To Noise Ratio Defined By Eq. 60. Reconstruction Uses Simulated Measurements Only Within The Range 0 <= Theta <= \pi/2 As Nonzero..,
"near_field_kr_14_pi_no_relevant_units_signal_to_noise__528d9e6e" DOUBLE -- Near-field (kr = 14 \pi (no Relevant Units)) Signal To Noise Ratio (dB) Of RGSF CS Field Reconstruction (method Proposed In Paper Using RGSFs) With RGSF Cutoff \lambda C = 0.625 - See Eqs. 47-50. Signal To Noise Ratio Defined By Eq. 60. Reconstruction Uses Simulated Measurements Only Within The Range 0 <= Theta <= \pi/2 As Nonzero..,
"near_field_kr_14_pi_no_relevant_units_signal_to_noise__30446cde" DOUBLE -- Near-field (kr = 14 \pi (no Relevant Units)) Signal To Noise Ratio (dB) Of RGSF CS Field Reconstruction (method Proposed In Paper Using RGSFs) With RGSF Cutoff \lambda C = 0.65 - See Eqs. 47-50. Signal To Noise Ratio Defined By Eq. 60. Reconstruction Uses Simulated Measurements Only Within The Range 0 <= Theta <= \pi/2 As Nonzero..,
"near_field_kr_14_pi_no_relevant_units_signal_to_noise__ccdb69c7" DOUBLE -- Near-field (kr = 14 \pi (no Relevant Units)) Signal To Noise Ratio (dB) Of RGSF CS Field Reconstruction (method Proposed In Paper Using RGSFs) With RGSF Cutoff \lambda C = 0.675 - See Eqs. 47-50. Signal To Noise Ratio Defined By Eq. 60. Reconstruction Uses Simulated Measurements Only Within The Range 0 <= Theta <= \pi/2 As Nonzero..,
"near_field_kr_14_pi_no_relevant_units_signal_to_noise__106120d2" DOUBLE -- Near-field (kr = 14 \pi (no Relevant Units)) Signal To Noise Ratio (dB) Of RGSF CS Field Reconstruction (method Proposed In Paper Using RGSFs) With RGSF Cutoff \lambda C = 0.7 - See Eqs. 47-50. Signal To Noise Ratio Defined By Eq. 60. Reconstruction Uses Simulated Measurements Only Within The Range 0 <= Theta <= \pi/2 As Nonzero..,
"near_field_kr_14_pi_no_relevant_units_signal_to_noise__e2e035db" DOUBLE -- Near-field (kr = 14 \pi (no Relevant Units)) Signal To Noise Ratio (dB) Of RGSF CS Field Reconstruction (method Proposed In Paper Using RGSFs) With RGSF Cutoff \lambda C = 0.725 - See Eqs. 47-50. Signal To Noise Ratio Defined By Eq. 60. Reconstruction Uses Simulated Measurements Only Within The Range 0 <= Theta <= \pi/2 As Nonzero..,
"near_field_kr_14_pi_no_relevant_units_signal_to_noise__579d75c9" DOUBLE -- Near-field (kr = 14 \pi (no Relevant Units)) Signal To Noise Ratio (dB) Of RGSF CS Field Reconstruction (method Proposed In Paper Using RGSFs) With RGSF Cutoff \lambda C = 0.75 - See Eqs. 47-50. Signal To Noise Ratio Defined By Eq. 60. Reconstruction Uses Simulated Measurements Only Within The Range 0 <= Theta <= \pi/2 As Nonzero..,
"near_field_kr_14_pi_no_relevant_units_signal_to_noise__103f10b5" DOUBLE -- Near-field (kr = 14 \pi (no Relevant Units)) Signal To Noise Ratio (dB) Of RGSF CS Field Reconstruction (method Proposed In Paper Using RGSFs) With RGSF Cutoff \lambda C = 0.775 - See Eqs. 47-50. Signal To Noise Ratio Defined By Eq. 60. Reconstruction Uses Simulated Measurements Only Within The Range 0 <= Theta <= \pi/2 As Nonzero..,
"near_field_kr_14_pi_no_relevant_units_signal_to_noise__69f4bde6" DOUBLE -- Near-field (kr = 14 \pi (no Relevant Units)) Signal To Noise Ratio (dB) Of RGSF CS Field Reconstruction (method Proposed In Paper Using RGSFs) With RGSF Cutoff \lambda C = 0.8 - See Eqs. 47-50. Signal To Noise Ratio Defined By Eq. 60. Reconstruction Uses Simulated Measurements Only Within The Range 0 <= Theta <= \pi/2 As Nonzero..,
"near_field_kr_14_pi_no_relevant_units_signal_to_noise__8acca628" DOUBLE -- Near-field (kr = 14 \pi (no Relevant Units)) Signal To Noise Ratio (dB) Of RGSF CS Field Reconstruction (method Proposed In Paper Using RGSFs) With RGSF Cutoff \lambda C = 0.825 - See Eqs. 47-50. Signal To Noise Ratio Defined By Eq. 60. Reconstruction Uses Simulated Measurements Only Within The Range 0 <= Theta <= \pi/2 As Nonzero..,
"near_field_kr_14_pi_no_relevant_units_signal_to_noise__06a35c15" DOUBLE -- Near-field (kr = 14 \pi (no Relevant Units)) Signal To Noise Ratio (dB) Of RGSF CS Field Reconstruction (method Proposed In Paper Using RGSFs) With RGSF Cutoff \lambda C = 0.85 - See Eqs. 47-50. Signal To Noise Ratio Defined By Eq. 60. Reconstruction Uses Simulated Measurements Only Within The Range 0 <= Theta <= \pi/2 As Nonzero..,
"near_field_kr_14_pi_no_relevant_units_signal_to_noise__522c663f" DOUBLE -- Near-field (kr = 14 \pi (no Relevant Units)) Signal To Noise Ratio (dB) Of RGSF CS Field Reconstruction (method Proposed In Paper Using RGSFs) With RGSF Cutoff \lambda C = 0.875 - See Eqs. 47-50. Signal To Noise Ratio Defined By Eq. 60. Reconstruction Uses Simulated Measurements Only Within The Range 0 <= Theta <= \pi/2 As Nonzero..,
"near_field_kr_14_pi_no_relevant_units_signal_to_noise__575b9718" DOUBLE -- Near-field (kr = 14 \pi (no Relevant Units)) Signal To Noise Ratio (dB) Of RGSF CS Field Reconstruction (method Proposed In Paper Using RGSFs) With RGSF Cutoff \lambda C = 0.9 - See Eqs. 47-50. Signal To Noise Ratio Defined By Eq. 60. Reconstruction Uses Simulated Measurements Only Within The Range 0 <= Theta <= \pi/2 As Nonzero..,
"near_field_kr_14_pi_no_relevant_units_signal_to_noise__d6ccd4c9" DOUBLE -- Near-field (kr = 14 \pi (no Relevant Units)) Signal To Noise Ratio (dB) Of RGSF CS Field Reconstruction (method Proposed In Paper Using RGSFs) With RGSF Cutoff \lambda C = 0.925 - See Eqs. 47-50. Signal To Noise Ratio Defined By Eq. 60. Reconstruction Uses Simulated Measurements Only Within The Range 0 <= Theta <= \pi/2 As Nonzero..,
"near_field_kr_14_pi_no_relevant_units_signal_to_noise__65767224" DOUBLE -- Near-field (kr = 14 \pi (no Relevant Units)) Signal To Noise Ratio (dB) Of RGSF CS Field Reconstruction (method Proposed In Paper Using RGSFs) With RGSF Cutoff \lambda C = 0.95 - See Eqs. 47-50. Signal To Noise Ratio Defined By Eq. 60. Reconstruction Uses Simulated Measurements Only Within The Range 0 <= Theta <= \pi/2 As Nonzero..,
"near_field_kr_14_pi_no_relevant_units_signal_to_noise__4b6b2907" DOUBLE -- Near-field (kr = 14 \pi (no Relevant Units)) Signal To Noise Ratio (dB) Of RGSF CS Field Reconstruction (method Proposed In Paper Using RGSFs) With RGSF Cutoff \lambda C = 0.975 - See Eqs. 47-50. Signal To Noise Ratio Defined By Eq. 60. Reconstruction Uses Simulated Measurements Only Within The Range 0 <= Theta <= \pi/2 As Nonzero..
);CREATE TABLE figure_8b_data_coefficienterror (
"rgsf_cutoffs_lambda_c_no_relevant_units_see_eqs_47_50" DOUBLE -- RGSF Cutoffs \lambda C (no Relevant Units) - See Eqs. 47-50.,
"wigner_d_function_coefficient_l_2_error_no_relevant_un_31ff9001" DOUBLE -- Wigner D-function Coefficient L 2 Error (no Relevant Units) From RGSF CS Field Reconstruction (method Proposed In Paper Using RGSFs) With RGSF Cutoff As A Function Of RGSF Cutoff \lambda C - See Eqs. 47-50. Reconstruction Uses Simulated Measurements Only Within The Range 0 <= Theta <= \pi/2 As Nonzero.
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